Research Talks

Research Talks: Frank Sottile

An abridged list.

Invited talks
Jump to refereed conferences, other conferences, colloquiua, short courses, or research seminars.

Galois groups in Enumerative Geometry, Invited talk, İzmir Mathematics Days V. September 28 2023, Abstract.
A Murnaghan-Nakayama rule in quantum Schubert calculus, Schubert Conference Summer 2023, 13–22 June 2023. Abstract.
Three hard polynomial systems from enumerative geometry Solving hard polynomial systems, MPI-MiS, 3-4 April 2023. abstract.
Critical Points Of Discrete Periodic Operators, Combinatorial, Computational, and Applied Algebraic Geometry, University of Washington, Seattle. 27 June–1 July 2022. abstract. text of talk.
Toric Geometry in Spectral Theory Mathematisches Forschungsinstitut Oberwolfach, 1 April 2022. abstract.
The phase limit set of linear spaces and discriminants LAGARTOS Seminar, 28 January 2022. abstract.
Applications of Bernstein's Other Theorem SIAM SAGA Seminar, 10 August 2021. abstract. pictures from the talk.
Real algebraic geometry in spectral theory Facets of Real Algebraic Geometry, Nantes, 21–25 June 2021. abstract.
Higher convexity of tropical objects Multidimensional residues and tropical geometry, Sirius Mathematics Center, Sochi 14–18 June 2021. abstract
Some Basic Questions About Amoebae Conference in honor of Thorsten Theobald, 12 June 2021. abstract. Some pictures from the talk.
Euclidean Distance Degree via Mixed Volume Degeneracy Loci and Applications, Ohio State University, 4–7 May 2021. abstract.
Irrational toric varieties and the secondary polytope Irrational Fans in Physics and Mathematics, Institute for the Mathematical Sciences of the Americas, Miami, USA. 19–21 October 2020. abstract, an image from the talk.
Galois groups in Schubert calculus, Monodromy and Galois groups in enumerative geometry and applications, 1 September 2020.
Bruce gegen Hilbert '88, Bruce Reznick is 66, 8 July 2019. abstract
Schubert Galois Groups, Ideals, Varieties, Applications, 10–14 June 2019, Amherst College, Amherst MA. abstract. An animation.
Non Linear Algebra at the ICERM, Nonlinear Algebra Boot Camp, September 5–12, 2018, ICERM abstract Problems.
Galois groups in enumerative geometry, Combinatorial Algebraic Geometry Retrospective Workshop, June 18–22, 2018, The Fields Institute for Research in the Mathematical Sciences. abstract
Describing Amoebas, Workshop on Tropical geometry and amoebas in higher dimension, KTH Stockholm, April 16 2018. abstract
Irrational Toric Varieties, Congreso Nacional de Geometría Algebraica, CMO, Oaxaca, 26 February–2 March 2018. abstract.
Galois Groups in Enumerative Geometry and Applications, Contemporary Mathematics, 18–23 December 2017. abstract.
Galois Groups in Enumerative Geometry and Applications, Texas Algebraic Geometry Symposium, 21 April 2017.
The trace test in numerical algebraic geometry Wilfrid Laurier University, CARGO 15th Anniversary, 31 March 2017. abstract. text of talk.
Irrational Toric Varieties, Shanks Workshop on Real Algebraic Geometry, Vanderbilt University, 10–11 March 2017. abstract.
A-Discriminant Coamoebae in Dimension Three, Mirror Symmetry, Tropical Geometry, Gel'fand-Kapranov-Zelevinsky A-Philosophy and Beyond, KIAS, Seoul, Korea, 27 February–3 March 2017. abstract. text of talk. Animations used in talk: I.html and II.html.
Irrational Toric Varieties, Convexity in Algebraic Geometry, Fields Institute, 3—7 October 2016. abstract.
A-Discriminant Coamoebae in Dimension Three, COALGA, Buenos Aires, 3 August 2016. abstract, text of talk.
Galois groups of Schubert problems, Plenary talk at AAS/AMU Symposium, Abuja, Nigeria, 19 May 2016. abstract, text of talk.
Numerical Schubert calculus, Fields Institute Workshop on Algebra, Geometry and Proofs in Symbolic Computation, 7 December 2015. abstract
Galois groups of Schubert problems, Invited talk at AMS Summer Institute in Algebraic Geometry, 17 July, 2015. abstract. text of talk.
Galois groups of Schubert problems, Plenary talk at MEGA in Trento, 18 June 2015. abstract. text of talk.
The Shape of Space, Berkeley Math Circle end of semester talk, 16 December 2014. abstract.
Some Algebraic Geometry in Applications, PURE Math REU, 6 August 2014.
Lower bounds for real solutions to systems of polynomials, Perspectives of Modern Complex Analysis, 24 July 2014, Banach Center, Poland. abstract. text of talk.
Some Algebraic Geometry in Applications, Plenary talk, Nigerian Women's Mathematics Conference, University of Ibadan, 8 July 2014.
Numerical computation of Newton polytopes, NIMS workshop on Optimization and Algebraic Geometry, 16 June 2014, NIMS, Daejeon, Korea. abstract.
Higher convexity of coamoeba complements, KAIST-NIMS Mini workshop on Algebraic Geometry, 13 June 2014, Daejeon, Korea. abstract. Some pictures from the talk.
Toric degenerations of Bézier Patches, IMSE Symposium: Applied Geometry, Topology, and Networks, University of Illinois, 24 February 2014. abstract.
Wachspress Varieties, Combinatorial Methods in Topology and Algebra, Cortona, Italy. 10 September 2013. abstract.
Galois groups of Schubert problems, AlGeCom, IUPUI, 27 April 2013. abstract.
Galois Groups of Schubert Problems, CAAC-13, Fields Institute, Toronto, January 25–27, 2013. abstract.
Bounds for real solutions to structured polynomial equations, Public Lecture, National Mathematics Centre, Abuja, Nigeria, 27 June 2012. abstract. Version of talk.
Bounds for real solutions to polynomial equations, Southwest Local Algebra Meeting, 3–4 March 2012, Lubbock, Texas. abstract. Text of talk.
Phase limit set of a variety, Discrete, tropical and algebraic geometry, Frankfurt, 6–8 May 2011. abstract.
Bounds for real solutions to polynomial equations, Solving Polynomial Equations, KTH Stockholm, 21–25 February 2011. abstract text of talk.
Overview of the Conjectures Shapiro, Algebraic systems with only real solutions, American Institute of Mathematics, 18 October 2010.
Some Hopf Algebras of Trees, Southeast Texas, Discrete Math and its Applications Workshop, Saturday 16 October 2010, Sam Houston State University. Abstract.
Orbitopes, Banff workshop on convex algebraic geometry. 15 February 2010. abstract text of talk.
Combinatorial Hopf Algebras, SE Texas Discrete Math & Applications Workshop, TAMU at Galveston, 10 October 2009.
Some Hopf Algebras of Trees, Plenary talk, FPSAC 09 20--24 July 2009. Abstract. text of talk
Frontiers of Reality in Schubert Calculus, Address to the Mathematics advisory board of the Lorentz center, Leiden. 10 June 2009, Abstract. Text of talk.
Linear Precision for Toric Surface Patches, Algebraic Geometry and Approximation Theory, 9--11 April 2009, Towson University. Text of talk.
Frontiers of Reality in Schubert Calculus, AMS Current Events Bulletin, AMS National Meeting in Washington, DC 7 January 2009. Abstract. Example from talk. Text of talk.
Bounds for real solutions to equations from geometry, Discrete Structures in Geometry and Topology, ECM July 2008, abstract, text of talk, animation from talk.
Linear precision for parametric patches, Mathematical methods for curves and surfaces, 26 June 2008. abstract. text of talk
Bounds for real solutions to polynomial systems, (4 lectures) Introductory workshop, semester on real and tropical algebraic geometry, CIB, EPFL, Lausanne, 21--25 January 2008. abstract.
Frontiers of reality in the Schubert calculus, Workshop on Real, tropical, and complex enumerative geometry. Centre de recherches mathematiques. 21 June 2007. Some images from talk.
New Fewnomial Upper Bounds from Gale Dual Polynomial Systems, IMA workshop on Algorithms in Algebraic Geometry. 18--22 September 2006. Abstract.
Line problems in nonlinear computational geometry, Discrete and Computational Geometry: Twenty Years Later. Snowbird, Utah, 18-23 June 2006. Abstract.
Lower bounds for real polynomial systems from sign-imbalanced posets, Saturday on Discrete Mathematics in Darmstadt, 26 November 2005. Abstract
Shapiro Conjecture, at Workshop on Real Algebra, Quadratic Forms and Model Theory; Algorithms and Applications, 2--9 November, Centre Émile Borel, Institut Henri Poincaré, Paris. Abstract.
Bounds for real solutions to sparse polynomial systems, 9 September 2005, Annual Network Meeting - RAAG2005, Abstract.
The Horn recursion in the cominuscule Schubert calculus, 6 August 2005, Plenary talk, XVI Coloquio Latinoamericano de Álgebra, 1 - 9 August 2005, Colonia, Uruguay. Abstract.
The Horn recursion in the Schubert calculus, at CombinaTexas, 25--26 February 2005, Texas State University-San Marcos. Abstract.
The Horn recursion in the cominuscule Schubert calculus, at Trends in Topological Combinatorics, 14-16 February 2005, KTH Stockholm. Abstract.
Real Solutions to Polynomial Systems and Enumerative Real Algebraic Geometry I, II, III, 7-9 January 2004. Introductory workshop, Topological Aspects of Real Algebraic Geometry, MSRI. .html slides.
Real Solutions to Structured Equations, 1 April 2003. Commutative Algebra and Geometry, Banff International Research Station.
Topology of Real Algebraic Curves, 21 September 2002. MSRI - Howard Workshop, Howard University, Washington, D.C.
Solving Equations and Viro's Method, 22 September 2002. MSRI--Howard Workshop, Howard University, Washington, D.C.
A tutorial on projective toric varieties, 30 July 2002. Workshop on Algebraic Geometry and Geometric Modeling, Vilnius, Lithuania. 29 July 2002 -- 2 August 2002. Text of talk (gzipped postscript).
Common transversals and tangents, July 19, 2002, Symbolic Computational Algebra 2002, 15-19 July 2002. Ontario Research Centre for Computer Algebra, University of Western Ontario, London Ontario. Abstract. Text of Talk.
Topological lower bounds on the number of real solutions, 23 May 2002, Solving Systems of Polynomial Equations, Texas A&M University, 20-24 May 2002. Abstract.
Enumerative real algebraic geometry, 14 June 2001, Real Algebraic and Analytic Geometry 2001, Rennes, France. Abstract.
A Gromov-Witten invariant in the real world, 28 April 2001, Invited Address, AMS Regional Meeting in Hoboken, NJ. Abstract.
Enumerative real algebraic geometry, 13 March 2001. Workshop on Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, 12-16 March 2001, DIMACS. Abstract. Outline.
Reality in the Schubert calculus, 11 September 2000, RiP-Workshop "Perspectives in Topology of Real Algebraic Varieties", 11-15 September 2000, MFI Oberwolfach, Germany.
Some real and unreal enumerative geometry, 21 June 2000, Effective Methods in Algebraic Geometry `00, Bath, England. Abstract.
Some real and unreal conjectures in enumerative geometry, 12 June 2000, Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering, AMS-IMS-SIAM Joint Research Conference, Mt. Holyoke College, 11-15 June 2000. Abstract.
Some real and unreal enumerative geometry for flag manifolds, 15 April 2000, Workshop in Algebraic Geometry in honor of William Fulton, University of Michigan, Ann Arbor. Abstract.
A SAGBI basis for the quantum Grassmannian, 4 June 1999, COCOA VI, Villa Gualino, Torino, Italy. Abstract.
Feedback control of linear systems and the real Schubert calculus, Solving Systems of Equations Workshop, 14-18 September 1998, MSRI, Berkeley. gzipped Postscript Slides, and gzipped .tar file. (A picture from the talk.)
Pieri-type formulas for the classical groups, 4 April 1997, Schubert Varieties, 31 March–5 April 1997, MFI Oberwolfach, Germany. Abstract.
Real enumerative geometry for Grassmannians, 29 July 1995, Computational Geometry Seminar, AMS Summer Research Institute in Algebraic Geometry, Santa Cruz.

Refereed Conferences
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General witness sets for numerical algebraic geometry, ISSAC, 20–23 July 2020, On line. Slides of talk
Toric Degenerations of Bézier Patches, MEGA 11, Stockholm, Sweden. 3 June 2011. Extended abstract.
Identities of structure constants for Schubert polynomials and orders on the symmetric group, 16 July 1997, Formal Power Series and Algebraic Combinatorics, 14 - 18 July 1997, Vienna, Austria. Extended Abstract, Résumé.
Identities of Littlewood-Richardson coefficients for Schubert polynomials, 15 April 1997, Symmetric Functions and Representation Theory Workshop, 14 - 18 April 1997, MSRI, Berkeley. Abstract.
Real enumerative geometry and effective algebraic equivalence, 6 June 1996, Effective Methods in Algebraic Geometry, 4 - 8 June 1996, Eindhoven, The Netherlands. Expanded and published version of talk.
Real enumerative geometry for the Grassmannian of lines in projective space, 2 July 1995, Real Algebraic and Analytic Geometry, 29 June - 4 July 1995, Segovia, Spain.
A Geometric approach to the combinatorics of Schubert polynomials, 29 May 1995, Formal Power Series and Algebraic Combinatorics, 29 May - 2 June 1995, Marne-la-Valée, Paris. Extended Abstract, Résumé.

Other Conferences
Jump to invited talks, refereed conferences, colloquiua, short courses, or research seminars.

Bloch Discriminants Minisymposium on Discrete and Continuous Schrödinger Operators, SIAM TX-LA Meeting, November 3–5, 2023, University of Louisiana, Lafayette. abstract text of talk.
Welschinger Signs and the Wronskii map Minisymposium on Nonlinear algebra in applications, SIAM TX-LA Meeting, November 3–5, 2023, University of Louisiana, Lafayette. abstract text of talk.
Welschinger Signs and the Wronskii map, Minisymposium on Computational Real Algebraic Geometry, SIAM Conference on Applied Algebraic Geometry, Eindhoven, July 10–14 2023. Abstract. text of talk.
A Murnaghan-Nakayama rule in quantum Schubert calculus, Equivariant Schubert Calculus and Beyond, CMS Summer Meeting, 2–5 June 2023. Abstract.
Critical Points Of Discrete Periodic Operators AMS Special Session on Polynomial systems, homotopy continuation and applications. January 4, 2023, Joint Mathematics Meetings, Boston, MA. abstract text of talk.
Fermi Isospectrality Minisymposium on Mathematical Physics and Graph Theory. 5th Annual Meeting of the SIAM Texas-Louisiana Section, 4–6 November 2022, University of Houston. Abstract text of talk.
Toric compactifications and discrete periodic operators Spectral theory of discrete and continuous models in quantum mechanics, November 5–7 2021, SIAM TX/LA Annual Meeting, UTRGV, South Padre Island, Texas. abstract. text of talk.
General witness sets Symbolic-Numerical Solving, Mathematical Congress of the Americas 16 July 2021. abstract
Irrational toric varieties and the secondary polytope S31: Mathematical-Physical Aspects of Toric and Tropical Geometry, Mathematical Congress of the Americas 13 July 2021. abstract, an image from the talk.
Computing Galois Groups in Enumerative Geometry, Sage/Oscar Days for Combinatorial Algebraic Geometry, 18 February 2021.
General witness sets AMS Special Session on Numerical Methods for Solving Polynomial Systems, 2021 Joint Mathematics Meetings. 6 January 2021. text of talk.
Critical points of discrete periodic operators Spectral Theory and Mathematical Physics Minisymposium, SIAM TX/LA Annual Meeting, Texas A&M University, 17 October 2020. abstract. text of talk.
General witness sets for numerical algebraic geometry Numerical algebraic geometry in algebraic geometry, ICMS, 13–16 July 2020, Braunschweig. Slides of talk
Certification for polynomial systems via square subsystems, Applications of Algebra and Geometry Minisymposium, SIAM Texas-Louisiana Sectional Meeting, November 2–3, SMU, 2019. abstract. text accompanying talk.
Solving Sparse Decomposable Systems, Special Session on Applications of Algebra and Geometry, AMS Fall Central Section meeting, Madison, Wisconsin, 14–15 September 2019. abstract. text of talk.
Bivariate Semialgebraic Splines, Minisymposium on Multivariate spline approximation and algebraic geometry, SIAM AG 19, Bern, Switzerland, 11 July 2019. abstract text of talk.
Numerical irreducible decomposition for multiprojective varieties, Special Session on Applications of Algebraic Geometry, AMS section meeting, Auburn, AL. 16 March 2019. abstract. Text of talk.
Galois groups for systems of polynomial equations, Algebraic Geometry session, CMS Winter Meeting, Vancouver, 7–9 December 2018. abstract text of talk.
Irrational Toric Varieties, AMS Special Session on Convex bodies in Algebraic Geometry and Representation theory, Spring Central Section meeting, Ohio State University 18 March 2018. abstract. text of talk. An animation for the talk.
Numerical Irreducible Decomposition for Multiprojective Varieties, SIAM Minisymposium on Theoretical Advances in Numerical Algebraic Geometry, SIAM Conference on Applied Algebraic Geometry, Atlanta, GA, 4 August 2017. abstract. Text of talk.
Semialgebraic Splines, SIAM Minisymposium on Multivariate Splines and Algebraic Geometry, SIAM Conference on Applied Algebraic Geometry, Atlanta, GA, 2 August 2017. abstract. Text of talk.
Newton-Okounkov Bodies and Khovanskii Bases for Applications, SIAM Minisymposium on Applications of Newton-Okounkov Bodies, SIAM Conference on Applied Algebraic Geometry, Atlanta, GA, 31 July 2017. abstract. Text of talk.
Trace Test, AMS Special Session on Theory and Applications of Numerical Algebraic Geometry, Joint Mathematics Meetings, Atlanta Georgia, 5 January 2017. text of talk.
Trace Test, Special Session on Applied Algebraic Geometry, AMS meeting at North Carolina State University, 12–13 November 2016. text of talk.
Directions for the Foundations of Numerical Algebraic Geometry, Perspectives in Numerical Algebraic Geometry, Colorado State University, 10 October 2016.
The ubiquity of determinantal equations, Minisymposium on Structured polynomial equations and applications, SIAM Annual meeting, Boston, July 11—15 2016. abstract, text of talk.
Semialgebraic Splines, Minisymposium on "Approximation Theory and Algebraic Geometry", 15^th International Conference on Approximation Theory, San Antonio, TX, May 22, 2016. abstract, text of talk.
Perspecitves on the Global Attractor Conjecture and Reality, Workshop on the Global Attractor Conjecture, San Jose State University, 11 March 2016.
Equivariant Cohomology and the Pattern Map, Special session on The Combinatorics of Symmetric Functions, AMS Eastern Section Meeting at the University of Georgia, March 5/6 2016. abstract. Text of talk.
Murnaghan–Nakayama rules in Schubert calculus, AMS Special Session on Modern Schubert Calculus, 15 November 2015. abstract
Some algebraic geometry in applications, Texas Algebraic Geometry Seminar Fall Workshop, Texas A&M Uuniversity, 24 October 2015. abstract.
Higher convexity of complements of tropical varieties, Minisymposium: "On the Geometry and Topology of (Co)Amoebas and Beyond" SIAM Meeting on Applied Algebraic Geometry, 5 August 2015. abstract. text of talk.
Generalized witness sets, Minisymposium on "Software and Applications in Numerical Algebraic Geometry" SIAM Meeting on Applied Algebraic Geometry, 4 August 2015. abstract. text of talk.
The Optimal Littlewood-Richardson Homotopy, Minisymposium on "Algorithms and Complexity in Polynomial System Solving" SIAM Meeting on Applied Algebraic Geometry, 3 August 2015. abstract. text of talk.
Numerical computation of Newton polytopes, Special Session on Algebraic and Geometric Methods in Applied Discrete Mathematics, Joint Mathematics Meetings, 11 January 2015, abstract. text of talk.
Cohomological Consequences of the Pattern Map, Special Session on Geometry and combinatorics on homogeneous spaces, AMS Sectional Meeting in Greensboro, NC Nov. 8–9, 2014 abstract text of talk.
Wachspress Varieties, Minisymposium on Approximation Theory, Geometric Modeling, and Algebraic Geometry, SIAM conference on Applied Algebraic Geometry, Colorado State University, 3 August 2013. abstract of talk.
Khovanskii-Rolle Continuation for Real Solutions, Minisymposium on Algorithms in Real Algebraic Geometry, SIAM conference on Applied Algebraic Geometry, Colorado State University, 2 August 2013. abstract and text of talk.
The convex hull of a pair of circles, AMS Special Session on Computational Algebraic and Analytic Geometry for Low-Dimensional Varieties, 12 January 2013, Joint Mathematical Meetings. abstract text of talk.
Hyperbolic Soccer Balls, MAA SIGMAA on Math Circles Poster and Activity Session, 11 January 2013, Joint Mathematical Meetings. abstract. poster handout.
Discriminant Coamoebas in Dimension 2 via Homology, Special Session on Hypergeometric Functions and Differential Equations, AMS Fall Western Section Meeting, Salt Lake City, October 22–23, 2011. abstract. text of talk.
Degenerations of Irrational Toric Varieties, Special Session on Computational and Algorithmic Algebraic Geometry, AMS Fall Western Section Meeting, Salt Lake City, October 22–23, 2011. abstract. text of similar talk.
alphaCertified: Software for certifying solutions to polynomial systems, AMS Fall 2010 Central Section Meeting at Notre Dame, 5--7 November 2010. abstract .
Galois groups for Schubert problems, Mathfest, Pittsburgh, 6 August 2010. abstract text of talk.
Convex Algebraic Geometry through Orbitopes, Minisymposium on Convex Algebraic Geometry, SIAM Annual Meeting, Pittsburgh, 14 July 2010. Text of talk.
Numerical Real Algebraic Geometry, Minisymposium on Kinematics and Numerical Algebraic Geometry, SIAM Annual Meeting, Pittsburgh, 13 July 2010. Text of talk.
Experimentation at the frontier of reality in Schubert calculus, Special session on Experimental Mathematics, AMS National Meeting in Washington, DC 5 January 2009. Abstract. Text of talk.
The Secant conjecture in the real Schubert calculus, Special session on Computational Algebra and Convexity, AMS National Meeting in Washington, DC 7 January 2009. Abstract. Example from talk. Text of talk.
Khovanskii-Rolle continuation for real solutions, Special session on Computational Algebraic and Analytic Geometry for Low-dimensional Varieties, AMS National Meeting in Washington, DC 6 January 2009. Abstract. Text of talk.
Linear Precision for Toric Surface Patches, Special session on Applications of Algebraic Geometry, AMS Sectional Meeting in Vancouver, BC 4-5 October 2008. Abstract. Text of talk.
Fewnomial bounds from Gale dual systems, Workshop on Effective Real Analytic Geometry, ICMS 6 May 2008, abstract.
Gale duality for complete intersections, Special session on Arrangements and Related Topics, AMS Sectional Meeting in Baton Rouge, LA 30 March 2008. Abstract. Text of talk.
Gale Duality for Complete Intersections, Workshop on Tropical Geometry, Oberwolfach, 9--15 December 2007. abstract.
Real Solutions to Polynomial Equations, Japanese-American Frontiers of Science, Japan, 1-3 December 2007. abstract poster.
Linear precision for toric patches, COMPASS 07, Computational Methods for Algebraic Spline Surfaces, September 12, 2007, Strobl, Austria. Abstract. text of talk.
New fewnomial upper bounds, poster, IMA workshop on Complexity, coding, and communications, 16--20 April 2007.
Optimal fewnomial bounds from Gale dual polynomial systems, Speedmath talk, AMS Session on Algebra and Number Theory, AMS national meeting, New Orleans. 6 January 2007. Abstract.
Simple counting of integer points via irrationality, Special session on Extremal and Probabilistic Combinatorics, AMS Sectional Meeting in Fayetteville, Ar 3-5 November 2006. Abstract.
The convexity behind Santaló's Helley-type Theorem, 9 October 2005. Special session on geometric transversal theory, AMS Eastern Sectional Meeting in Annandale-on-Hudson, NY. 8-9 October 2005. Abstract.
The Horn recursions for Schur P- and Q- functions, 9 October 2005. Special session on Algebraic and Geometric Combinatorics, AMS Eastern Sectional Meeting in Annandale-on-Hudson, NY. 8-9 October 2005. Abstract.
Bounds for real solutions to sparse polynomial systems, 7 August 2005, in Commutative Algebra and Algebraic Geometry session in the XVI Coloquio Latinoamericano de Álgebra, 1 - 9 August 2005, Colonia, Uruguay. Abstract.
Lower bounds in enumerative real algebraic geometry from sign-imbalanced posets, Special Session on Geometry and Combinatorics, AMS National Meeting in Pheonix, AZ 7-10 January, 2004. Abstract.
Structure of the Malvenuto-Reutenauer Hopf algebra of permutations, 4 May 2002, Special Session on Combinatorial Hopf Algebras, AMS Eastern Sectional Meeting in Montréal, Quebec, Canada 4-5 May 2002. Abstract.
Skew Schubert polynomials, 2 March 2002, Special Session on Algebraic Combinatorics, AMS Central Sectional Meeting in Ann Arbor, 1-3 March, 2002. Abstract.
Common transversals and tangents in P³, 8 January 2002, Special Session on Computational Commutative Algebra and Algebraic Geometry, AMS 2002 National Meeting in San Diego, CA, 6-9 January, 2002. Abstract.
The Hopf algebra of permutations of Malvenuto and Reutenauer, 9 January 2002, Special Session on Algebraic Combinatorics, AMS 2002 National Meeting in San Diego, CA, 6-9 January, 2002. Abstract.
A sagbi basis for the quantum Grassmannian, 21 April 2001, Algebra Weekend, University of Missouri, Columbia. Abstract.
Maximally inflected curves, 13 January 2001, Special Session on Computational Algebraic Geometry for Curves and Surfaces, AMS National Meeting in New Orleans, Louisiana. Abstract. Text of Talk.
Elementary transversality in the Schubert calculus, 5 November 2000, Special Session on Algebraic Geometry, AMS Regional Meeting in New York. Abstract.
Polytopes and isotropic Schubert calculus, 20 October 2000, Bay Area Discrete Mathematics Day, University of California at Davis. Abstract.
Polytopes and isotropic Schubert calculus, 14 October 2000, Combinatorialists of New England, Smith College. Abstract.
Real rational curves in Grassmannians, April 2 2000, Special Session on Enumerative Geometry in Physics, AMS Spring regional meeting in Lowell, Massachusetts. Abstract.
A Pieri-type formula for the symplectic flag manifold, 20 March 1998, Combinatorics and Enumerative Geometry Special Session, AMS regional meeting in Liousville, Kentucky. Abstract.
Real enumerative geometry and Shapiros' conjecture, 8 November 1997, Applications of Algebraic Geometry Session, Midwest algebraic geometry conference, 7-9 November 1997, Notre Dame, Indiana. Abstract.
The control of linear systems and Shapiros's conjecture, 18 October 1997, Concrete aspects of real polynomials Special Session, AMS regional meeting in Atlanta. Abstract.
Monoids, Orders, and Schubert Polynomials, 18 June 1997, Atelier Combinatoire Algebrique, 9 - 20 June 1997, centre de recherches mathématiques, Montréal, Quebec, Canada.
Multiplying Schubert polynomials and chains in the Bruhat order, 3 May 1997, Algebraic Combinatorics Special Session, AMS regional meeting in Detroit. Abstract.
Numerical Schubert calculus, 12 April 1997, Algorithms in Real Algebraic Geometry Special Session, AMS regional meeting in College Park, Maryland. Abstract.
Enumerative geometry for real varieties, 8 January 1997, Computational Geometry Special Session, AMS National Meeting in San Diego. Abstract.
Symmetries of Littlewood-Richardson coefficients for flag manifolds, 2 November 1996, Algebraic Geometry Special Session, AMS regional meeting in Columbia, Missouri. Abstract.
Symmetries of Littlewood-Richardson coefficients for Schubert polynomials, 26 April 1996, Ontario Combinatorics Workshop, Fields Institute, Toronto, Canada.
Symmetries of Littlewood-Richardson coefficients for Schubert polynomials and flag varieties, 28 October 1995, Route 81 Conference onCommuative Algebra and Algebraic Geometry, Syracuse.
Real enumerative geometry for the Grassmannian of lines in projective space, 1 October 1994, Route 81 Conference on Commuative Algebra and Algebraic Geometry, Queen's University.
Real enumerative geometry for the Grassmann variety of lines in projective space, 20 December 1993, Real Algebraic Geometry - Topology Conference, 17-21 December 1993, Michigan State University.

Colloquiua
Jump to invited talks, refereed conferences, other conferences, short courses, or research seminars.

Galois groups in Enumerative Geometry, Colloquium, UT Dallas. December 1 2023, Abstract.
Galois groups in Enumerative Geometry, Colloquium, Department of Mathematics, New Mexico State University. September 22 2023, Abstract.
Galois groups in Enumerative Geometry and Applications Colloquium, University of Michigan, 14 February 2023. Abstract. text of talk.
Galois groups in Enumerative Geometry and Applications Colloquium, University of Pittsburgh, 21 October 2022. Abstract text of talk.
Galois groups in Enumerative Geometry and Applications, Nonlinear Algebra Seminar Online, MPI Leipzig, 30 April 2020. abstract. text of talk.
Irrational toric varieties and the secondary polytope, Facets of Complexity Seminar, Freie Universität Berlin, 6 January 2020. abstract.
Some algebraic geometry in applications, Colloquium, Texas State University in Sam Marcos, 15 November 2019. abstract.
Higher convexity for complements of tropical objects, Colloquium, Michigan State University, 17 October 2019. abstract
Galois Groups in Enumerative Geometry, Colloquium, Clemson University, 13 March 2019. abstract
Galois Groups in Enumerative Geometry, Colloquium, Kent State University, 20 March 2018. abstract
Galois Groups in Enumerative Geometry, Colloquium, Cleveland State University, 19 March 2018. abstract
Galois Groups in Enumerative Geometry, Colloquium, Oklahoma State University, 9 March 2018. abstract.
Galois groups in enumerative geometry and applications, Colloquium, CIMAT Guanajuato, 22 Febraury 2018.
Galois Groups in Applications and Enumerative Geometry, Colloquium, University of Texas at Dallas, 3 November 2017. abstract
Galois Groups in Applications and Enumerative Geometry, Colloquium, Michigan State University, 12 October 2017. abstract
Higher convexity for complements of tropical objects, Tutte symposium, Deptartment of Combinatorics and Optimization, University of Waterloo, 31 March 2017. abstract.
Galois Groups in Applications and Enumerative Geometry, Colloquium, University of Western Ontario, 30 March 2017. abstract
Galois Groups in Enumerative Geometry and Applications, Colloquium, McMaster University, 13 January 2017. abstract.
Galois groups in Enumerative Geometry and Applications, Colloquium, University of Toronto, 9 November 2016. abstract.
Some Algebraic Geometry in Applications, Colloquium, Santa Clara University, 18 October 2016. abstract.
Some algebraic geometry in applications, Colloquium, Institut de Mathématiques et de Sciences Physiques, Porto Nuovo, Republic of Benin, 11 Mai 2016. abstract.
Some algebraic geometry in applications, Colloquium, Federal University of Agriculture Abeokuta, Nigeria, 9 May 2016. abstract.
Some algebraic geometry in applications, Colloquium, University of Ibadan, 6 May 2016. abstract.
Higher convexity for complements of tropical objects, Colloquium, Yale University, 3 March 2016. abstract.
Higher convexity for complements of tropical objects, Colloquium, University of Michigan, 10 November 2015. abstract
Some algebraic geometry in applications, Colloquium, San Jose State University, 14 October 2015. abstract.
Galois groups of Schubert problems, University of Kansas Colloquium, 10 February 2015. abstract.
Galois groups of Schubert problems, University of Virginia, 10 December 2014. abstract. text of talk.
Galois groups of Schubert problems, University of Southern California, 3 December 2014. abstract. text of talk.
What is Schubert Calculus?, University of Ibadan, 11 July 2014. abstract.
Galois groups of Schubert problems, Sam Houston State University, 19 March 2014. abstract. text of talk.
Bounds for real solutions to polynomial equations, University of Pennsylvannia, 13 November 2013. abstract.
Galois groups of Schubert problems, University of Wisconsin, 4 October 2013. abstract. text of talk.
The future of computation in algebraic geometry, UC Berkeley, 14 March 2013. Abstract.
Galois Groups of Schubert Problems, Santa Clara University, 5 February 2013. abstract
Galois Groups of Schubert Problems, Commutative Algebra Colloquium, MSRI 16 January 2013. abstract.
Bounds for real solutions to structured polynomial equations, University of Ilorin, Nigeria, 22 June 2012. abstract. Version of talk.
Bounds for real solutions to structured polynomial equations, University of Ibadan, Nigeria, 21 June 2012. abstract. Version of talk.
Galois groups of Schubert problems, Georgia Tech, Thursday, 5 April 2012. abstract text of talk.
Galois groups of Schubert problems, UCSD, Thursday, 2 February 2012. abstract text of talk.
Orbitopes, RWTH Aachen, 4 May 2011. abstract text of talk.
Orbitopes, Friends of Mathematics Lecture, Kansas State University, 27 April 2010. abstract text of talk.
Orbitopes, University of Kansas, 26 April 2010. abstract text of talk.
Orbitopes, Colorado State University, 12 March 2010. abstract. text of talk.
Orbitopes, Baylor, 4 March 2010. abstract. text of talk.
Orbitopes, CRM-ISM Colloquium, Université Montréal, 12 February 2010. abstract text of talk.
Orbitopes, LSU, 28 January 2010. abstract. text of talk.
Bounds for real solutions to structured polynomial systems, University of Vienna, 15 October 2008. abstract, text of talk, animation from talk.
Galois groups of Schubert problems via numerical homotopy computation, Centre for Applied Mathematics, Notre Dame University, 26 February 2008 abstract.
Bounds for real solutions to structured polynomial systems, Trinity University, 18 February 2008. Abstract.
Bounds for real solutions to structured polynomial systems, University of Illinois-Chicago, 26 October 2007. Abstract.
Frontiers of reality in Schubert calculus, Sam Houston State University, 21 September 2007. Abstract.
Bounds for real solutions to structured polynomial systems, UNC-Chapel Hill, 11 January 2007. Abstract.
Bounds for real solutions to structured polynomial systems, Texas State University, San Marcos, 1 December 2006. Abstract.
Bounds for real solutions to structured polynomial systems, IUPUI, 13 October 2006. Abstract.
Bounds for real solutions to structured polynomial systems, Universität Stuttgart, 8 May 2006. Abstract.
Bounds for real solutions to structured polynomial systems, Universität Innsbruck, 4 April 2006. Abstract.
Polytopes and Polynomial Systems, Vorlesung lecture at the Graduiertenkolleg, Technische Universität Berlin, 13 February 2006. Abstract
Bounds for real solutions to structured polynomial systems, Universität Konstanz, 12 January 2006. Abstract.
Bounds for real solutions to structured polynomial systems, Université Genève, 17 November 2005. Abstract.
Bounds for real solutions to structured polynomial systems, Texas A&M University, 11 October 2005. Abstract.
Tropical Interpolation, 12 January 2005, University of British Columbia. Abstract. Expository Article
Certificates of Algebraic Positivity, 15 September 2004, Sam Houston State University. Abstract
Certificates of Algebraic Positivity, 9 September 2004, Rice University. Abstract
Algebraic Certificates of Positivity, 21 April 2004, San Fransisco State University. Abstract
Algebraic Certificates of Positivity, 8 April 2004, University of California at San Diego. Abstract
Real rational curves, 24 November 2003, Fachbereich Mathematik und Informatik, Universität Marburg. Abstract
Enumerative Real Algebraic Geometry, 12 September 2003. Virginia Polytechnic Institute and State University. Abstract.
Enumerative Real Algebraic Geometry, 4 April 2003. University of Saskatchewan. Abstract.
Enumerative Real Algebraic Geometry, 28 February 2003, Texas A & M University. Abstract.
Enumerative Real Algebraic Geometry, 3 February 2003, North Carolina State University. Abstract.
Enumerative real algebraic geometry, 29 January 2003, University of Colorado, Boulder. Abstract.
A Gromov-Witten invariant in the real world, 14 November 2002, Michigan State University. Abstract.
A Gromov-Witten invariant in the real world , 27 November 2001, Purdue University. Abstract
A Gromov-Witten invariant in the real world , 9 November 2001, SUNY Albany. Abstract
A Gromov-Witten invariant in the real world, 8 March 2001, University of Massachusetts at Amherst. Abstract.
A Gromov-Witten invariant in the real world, 17 January 2001, Texas Tech University. Abstract.
Quantum cohomology in the real world, 30 November 2000, Dartmouth College. Abstract.
Quantum cohomology in the real world, 27 October 2000, Connecticut Valley Colloquium, Mt. Holyoke College. Abstract.
Control of linear systems and the real Schubert calculus, 3 December 1999, University of Wisconsin, Parkside. Abstract.
Control of linear systems and the real Schubert calculus, 26 October 1999, University of California, Santa Cruz. Abstract.
The Control of linear systems and the real Schubert calculus, 23 September 1999, University of North Carolina. Abstract.
Real Schubert calculus, 10 February 1999, University of Colorado, Boulder. Abstract.
Real Schubert calculus, 21 January 1999, University of Notre Dame. Abstract.
Feedback control of linear systems and the real Schubert calculus, 17 November 1998, University of Washington. Abstract.
Feedback control of linear systems and the real Schubert calculus, 27 October 1998, Santa Clara University. Abstract: text-only, with picture, or postscript. Slides from the talk.
The real, complete story on conics, 9 October 1998, California State University, Hayward. Abstract: text-only, with picture, or postscript.
Concrete Schubert calculus, 2 February 1998, Texas A & M University. Abstract.
Combinatorics of the symmetric group and flag manifolds, 11 March 1997, New Mexico State University. Abstract.
Making the Schubert calculus effective, 7 March 1997, University of Texas at El Paso. Abstract.
Is the Schubert calculus effective?, 24 September 1996, University of Notre Dame. Abstract.
Combinatorics of symmetric groups and flag manifolds, 21 September 1995, SUNY Buffalo.

Short Courses
Jump to invited talks, refereed conferences, other conferences, colloquiua, or research seminars.

Tutorials: The Geometry of Grassmannians, Schubert Conference Summer 2023, 13–22 June 2023. abstract
Quasi-symmetric functions and Hopf Algebras A course of 4 lectures at: CIMPA-Bobo CIMPA Research School "Combinatoire des mots, combinatoire algébrique, et exploration informatique avec Sage", 18–29 October 2021, Université Nazi Boni, Burkina Faso.

Introduction to Toric Varieties, a short course in four lectures, CIMPA Research School on Combinatorial and Computational Algebraic Geometry, University of Ibadan, Oyo State, Nigeria, 11–24 June 2017. Greatly expanded version of Lecture Notes.
Introduction to Algebraic Geometry, Short course for graduate students, University of Ilorin, 14–15 July 2014.
Tutorial on Numerical Algebraic Geometry, Tutorials in the Mountains, Pingree Park Campus, Colorado State University, 29–31 July 2013.
Experimentation in the Schubert Calculus, Series of four talks, MSJ-SI 2012 Schubert calculus, 17–20 July Osaka City University, Japan. abstract. Text of Lecture 1. Animation from Lecture 1. Animation from Lecture 2.
Introduction to Algebraic Geometry, Pre-CIMPA 2013 workshop, 30 June, 2 and 3 July 2012. Usmanu Danfodiyo University, Sokoto, Nigeria.
Numerical Real Algebraic Geometry, Series of 4 lectures in Oberwolfach seminar on "New trends in algorithms for real algebraic geometry", Mathematisches Forschungsinstitut Oberwolfach, 22--28 November 2009. Abstract.
Real Solutions to Equations from Geometry, A short course of 4 lectures at, Géométrie Algébrique en Liberté 8--12 June 2009. Abstract. Manuscript related to course. Lecture 2, Animation from Lecture 3.
Introduction to Applicable Algebraic Geometry, a short course of 10 lectures, 23 July -- 3 August 2007, IMA PI Summer Program on Applicable Algebraic Geometry. Outline of course.
Real solutions to equations from geometry, a short course of 8 lectures 14--16, 21--23, 28, & 29 November 2005, Centre Émile Borel, Institut Henri Poincaré, Paris. Abstract and Outline. Manuscript from course.
Examples and Applications of Computational Algebraic Geometry, 17-21 November 2003, Oberwolfach-Seminar on Computational Algebraic Geometry, Mathematisches Forschunginstitute Oberwolfach.
Real enumerative geometry and solving systems of equations, A short course of 4 lectures, 26 May, and 2, 9, 16 June 1999, IRMA Strasbourg. Abstract.

Research Seminars
Jump to invited talks, conferences, other conferences, short courses, or colloquiua.

Critical Points of Discrete Periodic Operators Widely Applied Mathematics Seminar, Harvard University, 26 October 2023. abstract
Critical Points Of Discrete Periodic Operators, Algebra Seminar, New Mexico State University. September 22 2023, abstract.
Galois groups in Enumerative Geometry and Applications Seminar TUB, 12 April 2023. Abstract.
Critical Points Of Discrete Periodic Operators Seminar, TU Braunschweig, 11 April 2023. abstract.
Galois groups in Enumerative Geometry and Applications Algebra, Geometry, and Combinatorics Seminar, San Francisco State University, 8 February 2023. Abstract. text of talk.
A Murnaghan-Nakayama rule for quantum cohomology of the flag manifold Algebra and Combinatorics Seminar, Texas A&M University, 18 November 2022. Abstract.
Critical Points of Discrete Periodic Operators via Toric Varieties Applied Analysis Seminar, Lousiana State University, 5 April 2022. abstract.
Toric compactifications and discrete periodic operators Mathematical Physics and Harmonic Analysis Seminar, Texas A&M University, 25 February 2022. abstract.
Euclidean Distance Degree via Mixed Volume, University Savoie Mont Blanc, 1 July 2021. abstract.
Littlewood-Richardson Homotopy Algorithm Technische Universität Berlin, 26 May 2021. abstract.
Euclidean Distance Degree via Mixed Volume Algebraic Geometry Seminar, Texas A&M University, 26 April 2021. abstract.
Compositions of Schubert problems, Discrete Mathematics Seminar, Texas State University, San Marcos, 15 November 2019. abstract.
Galois groups in Enumerative Geometry and Applications, Seminario di Algebra E Geometria, Università di Bologna, 18 February 2020. abstract.
Galois groups in Enumerative Geometry and Applications, Algorithmic Algebra Seminar, Technical University Berlin, 12 February 2020. abstract.
Higher convexity of tropical objects, Math Core Seminar, University of Magdeburg, 30 January 2020.
Galois groups in Enumerative Geometry and Applications, Alegbraic Geometry Seminar, Humboldt University Berlin, 8 January 2020. abstract.
Compositions of Schubert problems, TAMU Algebra and Combinatorics Seminar, 25 October 2019. abstract.
Galois Groups in Enumerative Geometry, Sun Yat-Sen University, Guangzhou 13 May 2019. abstract
A numerical toolkit for multiprojective varieties, Geometry Seminar, Texas A&M University, 29 April 2019. abstract.
Schubert Galois Groups, Algebra Seminar, Georgia Tech, 15 March 2019. abstract.
Numerical computation of multiprojective varieties, Combinatorial Algebraic Geometry Seminar, 22 February 2019. abstract.
Galois groups for systems of polynomial equations, Valley Geometry Seminar, UMass, 9 November 2018. abstract
Galois groups for systems of polynomial equations, CUNY/NYU symbolic-numeric computing seminar, CUNY, 8 November 2018. abstract. View the talk.
A geometric proof of an equivariant Pieri rule for flag manifolds, Algebra and Combinatorics Seminar, TAMU, 19 October 2018. abstract.
Newton–Okounkov Bodies and Khovanskii Bases, NOBodies working group, ICERM. 25 September 2018.
A Murnaghan-Nakayama formula in quantum Schubert calculus, Combinatorics Seminar, MIT, 14 September 2018. abstract.
Galois Groups for Systems of Equations, Geometry Seminar, TAMU, 31 August 2018. abstract
The amoeba of a line, Computational Algebraic Geometry Seminar, TAMU, 13 August 2018.
Describing Amoebas, Geometry Seminar, Texas A&M University, 7 May 2018. abstract
A Murnaghan–Nakayama rule in quantum Schubert calculus, Lie groups/Commutative algebra seminar, Oklahoma State University, 8 March 2018. abstract.
Generalized witness sets, Geometry Seminar, Texas A&M University, 5 March 2018. abstract.
A Murnaghan–Nakayama rule in quantum Schubert calculus, Algebra Seminar, University of Texas at Arlington, February 14 2018. abstract.
Newton-Okounkov Bodies for Applications, Geometry Seminar, Texas A&M University, 22 January 2018. abstract.
Some algebraic geometry in applications, Algebraic Geometry Seminar, Simon Fraser University, 24 November 2017. abstract.
Irrational Toric Varieties, Algebraic Geometry Seminar University of British Columbia, 23 November 2017. abstract.
A Murnaghan–Nakayama rule in quantum Schubert calculus, Algebra Seminar, University of Texas at Dallas, 3 November 2017. abstract.
The trace test in numerical algebraic geometry, Geometry Seminar, Texas A&M University, 17 April 2017. abstract
The Bergman fan and the coamoeba of a linear space, Applied Algebra Seminar, York University. 20 March 2017. abstract.
Higher convexity of tropical objects, Seminar, Goethe Universität Frankfurt, 10 February 2017.
Higher convexity for complements of tropical objects, Seminar, Fields Institute, 23 November 2016. abstract.
Murnaghan–Nakayama rules in Schubert calculus, Geometric Representation Theory Seminar, University of Toronto. 21 November 2016. abstract.
A Murnaghan-Nakayama Formula for Schubert Polynomials, Discrete Mathematics Seminar, University of British Columbia, Vancouver, BC. 13 October 2016. abstract.
Towards a multivariate Descartes' Rule, Algebra Seminar, University of Texas at Arlington, 6 April 2016. abstract.
A Murnaghan-Nakayama Formula for Schubert Polynomials, Fields York Combinatorics Seminar, 30 September 2016. abstract.
Towards a multivariate Descartes' Rule, Geometry Seminar, Texas A&M University, 28 March 2016. abstract.
Numerical Schubert calculus, Geometry seminar, TAMU 25 January 2016. abstract.
Higher convexity for complements of tropical objects, Geometry seminar, TAMU 23 October 2015. abstract and links to animation
Murnaghan–Nakayama rules in Schubert calculus, Algebra and Combinatorics seminar, TAMU 11 Septeber 2015. abstract
Galois Groups via Numerical Algebraic Geometry, Geometry seminar, TAMU 4 September 2015. abstract
Some algebraic geometry in applications, Geometry Seminar at Dalian University of Technology, 12 August 2015. abstract.
Higher convexity of coamoeba complements, Algebra Seminar, UT Arlington, 8 April 2015. abstract. Some pictures from the talk.
Higher convexity of coamoeba complements, TAMU Algebra and Combinatorics Seminar, 13 February 2015 abstract. Some pictures from the talk.
Numerical computation of Newton polytopes, TAMU Geometry Seminar, Monday 26 January 2015, abstract.
Some more geometry in the secondary fan, Courant Geometry Seminar, 6 January 2015. abstract.
Holonomic Gradient Descent for the Fischer Distribution on SO(3), Holonomic D-cember, Berkeley 17 December 2014.
Some more geometry in the secondary fan, Berkeley Combinatorics Seminar, 8 December 2014. abstract.
Some more geometry in the secondary fan, Algebra and Discrete Math seminar, UC Davis, 17 November 2014 abstract.
Some more geometry in the secondary fan, Algebra and Combinatorics Seminar, Texas A&M, 31 October, 2014. abstract.
Combinatorial positivity in the Schubert calculus via dual equivalence graphs, Algebraic Combinatorics Seminar, Department of Combinatorics and Optimization, University of Waterloo, 28 October 2014. abstract.
Phase limit set of a variety, CAMP Seminar on tropical geometry, 11 June 2014, NIMS, Daejeon, Korea. abstract.
Combinatorial positivity in the Schubert calculus via dual equivalence graphs, Algebra and Combinatorics Seminar, Texas A&M University, 11 April 2014. abstract.
Combinatorial positivity in the Schubert calculus via dual equivalence graphs, Algebra, Geometry and Combinatorics Seminar, University of Illinois, 21 February 2014. abstract.
Degenerations of irrational toric varieties, Algebraic Geometry Seminar, Texas A&M University, 3 February 2014. abstract.
Combinatorial positivity in the Schubert calculus via dual equivalence graphs, Combinatorics and Algebraic Geometry (CAGE) Seminar, University of Pennsylvannia, 14 November 2013. abstract.
Symmetric output feedback control and isotropic Schubert calculus, Algebra Seminar, University of Texas Arlington, 20 November 2013. abstract.
Symmetric output feedback control and isotropic Schubert calculus, Applied Mathematics Seminar, University of Wisconsin, 3 October 2013. abstract.
Symmetric output feedback control and isotropic Schubert calculus, Algebraic Geometry Seminar, University of Chicago, 2 October 2013. abstract.
Galois Groups of Schubert Problems, Algebraic Geometry Seminar, Texas A&M University, 2 September 2013. abstract.
Galois groups of Schubert problems, Algebraic Geometry Seminar, Stanford, 13 May 2013. abstract.
Galois Groups of Schubert Problems, Algebra-Geometry-Combinatorics Seminar, SFSU, 24 April 2013. abstract.
Galois Groups of Schubert Problems, Algebra and Discrete Mathematics Seminar, UC Davis, 17 April 2013. abstract.
Symmetric output feedback control and isotropic Schubert calculus, Commutative Algebra and Algebraic Geometry, UC Berkeley, 26 February 2013. abstract.
Geometry of Wachspress Varieties, Computational Algebraic Geometry Afternoon, UC Berkeley, 13 February 2013.
Combinatorial positivity in the Schubert calculus via dual equivalence graphs, Representation Theory Seminar, UC Berkeley, 23 January 2013. abstract.
An inequality of Kostka numbers and Galois groups of Schubert problems of lines, Combinatorics Seminar, University of Michigan, 27 September 2012. abstract
Discriminant Coamoebas in Dimension 2 via Homology, Algebraic Geometry Seminar, Texas A&M University, 13 February 2012. abstract.
Bounds for real solutions to polynomial equations, Seminar, UCSD, 3 February 2012. abstract.
Bounds for real solutions to polynomial equations, TAMU Algebraic Geometry Seminar, 30 January 2012. abstract.
Symmetric output feedback control and isotropic Schubert calculus, Algebraic Geometry Seminar, Universität Zürich, 5 December 2011. abstract.
Combinatorial positivity in the Schubert calculus via dual equivalence graphs, TAMU Algebra and Combinatorics Seminar, 30 September 2011. abstract.
Symmetric output feedback control and isotropic Schubert calculus, TAMU Algebraic Geometry Seminar, 19 September 2011. abstract.
Phase limit set of a variety, TAMU Algebraic Geometry Seminar, 12 September 2011. abstract.
Phase limit set of a variety, Seminar, Institut Mittag-Leffler, Djursholm, 14 April 2011. abstract.
Combinatorial positivity in Schubert calculus via dual equivalence graphs, Combinatorics Seminar, KTH, 13 April 2011. abstract.
Orbitopes, Algebra and Geometry Seminar, Uppsala, 5 April 2011. abstract text of talk.
Phase limit set of a variety, Séminaire Genève-Paris-Strasbourg Géométrie tropicale, Paris, 31 Mars 2011. abstract
Phase limit set of a variety, Combinatorial Theory Seminar, TU Eindhoven , 16 March 2011. abstract.
Constructing Cofree Compositional Coalgebras, TAMU Algebra and Combinatorics Seminar, 1 October 2010. Abstract.
Dense Fewnomials, TAMU Algebraic Geometry Seminar, 13 September 2010. abstract
Orbitopes, Algebra Seminar, Georgia Tech, 5 April 2010. abstract. text of talk.
Orbitopes, Franks Stones Lecture, TCU. 20 October 2009. Abstract.
Orbitopes, Combinatorics Seminar, University of Michigan, 27 September 2009. Abstract.
Orbitopes, Algebraic Geometry Seminar, Texas A&M University, 14 September 2009. Abstract.
Orbitopes, DIAMANT Seminar Combinatorics and Optimization CWI Amsterdam, 5 June 2009. Abstract.
Arithmetic Toric varieties, Algebraic geometry seminar, Texas A&M University, 20 April 2009. abstract.
Frontiers of reality in Schubert calculus, Algebraic geometry seminar, Texas A&M University, 1 December 2008. abstract.
Equations and geometry, An introduction to the Colloquium, University of Vienna, 15 October 2008. abstract.
Toric polar Cremona transformations, Algebraic geometry Seminar, Texas A&M University, 1 September 2008, abstract.
Khovanskii-Rolle continuation for real solutions, Geometry Seminar, Chambéry, 28 April 2008, abstract.
Gale duality for complete intersections, San Francisco State University, 19 March 2008. Abstract.
Khovanskii-Rolle continuation for real solutions, Applied Mathematics Seminar, Michigan State University, 29 February 2008. Abstract.
Betti number bounds for fewnomial hypersurfaces via stratified Morse theory, Algebraic Geometry Seminar, Texas A&M University, 28 January 2008. abstract.
Galois groups of Schubert problems via numerical homotopy computation, Algebraic Geometry Seminar, Texas A&M University, 14 January 2008. abstract.
A Littlewood-Richardson rule for Grassmannian Schubert problems, Algebra and Combinatotrics Seminar, Texas A&M, 12 November 2007. Abstract.
Khovanskii-Rolle continuation for real solutions, Algebraic Geometry Seminiar, University of Illinois-Chicago, 25 October 2007. Abstract.
Khovanskii-Rolle continuation for real solutions, Seminiar, Texas A&M University, 22 October 2007. Abstract.
Lower bounds for real solutions to equations, Open Problems Seminar, Texas A&M, 5 October 2007.
Bounds in real algebraic geometry from Gale dual polynomial systems, Seminar, Technische Universität München, 14 September 2007.
A commutative algebra approach to Pieri and Littlewood-Richardson rules, Open Problems Seminar, Texas A&M, 7 September 2007.
On "Towards a Schubert calculus for the complex reflection groups", Open Problems Seminar, Texas A&M, 29 August 2007.
Gale duality for complete intersections, TAMU Algebraic Geometry Seminar, 27 August 2007. Abstract.
Gale dual systems and bounds in real algebraic geometry, Seminar on Applicable Algebraic Geometry, IMA PI Summer Graduate School on Applicable Algebraic Geometry. 2 August 2007. Abstract.
On "Towards a Schubert calculus for the complex reflection groups", Summer seminar on complex reflection groups, University of Minnesota, 28 June 2007.
The Horn recursion in the Schubert calculus, Seminar, University of Minnesota. 6 April 2007. Abstract.
Optimal fewnomial bounds from Gale dual polynomial systems, Algebraic Geometry Seminar, University of Wisconsin, 27 April 2007. Abstract.
Optimal fewnomial bounds from Gale dual polynomial systems, Seminar, Institute for Mathematics and its Applications, 4 April 2007. Abstract.
Optimal fewnomial bounds from Gale dual polynomial systems, Seminar, University of Texas. 8 February 2007. Abstract.
Optimal fewnomial bounds from Gale dual polynomial systems, Seminar, UNC-Chapel Hill. 12 January 2007. Abstract.
New Fewnomial Upper Bounds from Gale Dual Polynomial Systems, Algebra and Combinatorics Seminar, TAMU. 1 September 2006. Abstract.
Equivariant Chow ring of the quot scheme, Geometry Seminar, Universität Zürich. 6 June 2006. Abstract
Combinatorial Hopf Algebras, Oberseminar Hopfalgebren und Quantengruppen, Universität München, 1 June 2006.
The Horn recursion in the Schubert calculus, Algebraic Geometry Seminar, Universität Bayreuth, 10 Mai 2006. Abstract
Polytopes and Polynomial Systems, Seminar, Universität Innsbruck, 4 April 2006. Abstract.
Linear precision for multi-sided toric patches, CMA guest lecture, Centre of Mathematics for Applications, University of Oslo. 15 March 2006. Abstract
Equivariant Chow ring of the quot scheme, Topology/Algebra Seminar, University of Bergen. 14 March 2006. Abstract
The Horn recursion in the Schubert calculus, Seminar in Algebra and Algebraic Geometry, University of Oslo, 13 Mars 2006. Abstract
The convexity behind Santaló's Helley-type Theorem, 1 February 2006. Mittagsseminar, Technische Universität Müchen. Abstract.
The Horn recursion for the Schubert calculus I and II, Geometry Seminar, Grenoble, 12 December 2005. Grenoble
The Horn recursion for the Schubert calculus, COWS seminar, Warwick, 1 December 2005. Abstract.
Equivariant Chow ring of the quot scheme, Algebraic Seminar,Institut de Mathematiques de Jussieu, 24 November 2005. Abstract
The Shapiro Conjecture, Geometry Seminar, LAMA, Université de Savoie, Chambery 18 November 2005. Abstract
Bounds for real solutions to polynomial systems, Mittagsseminar, Technische Universit Universität München 26 October 2005. Abstract.
Bounds for real solutions to structured polynomial systems, Algebraic Geometry Seminar, University of Illinois at Chicago, 6 October 2005. Abstract.
Equivariant Chow ring of the Quot Scheme, 3 May 2005, Algebra Seminar, University of Texas. Abstract
The Horn recursion in the cominuscule Schubert calculus, Geometry Seminar, 6 April 2005, The Ohio State University. Abstract.
The Horn recursion in the cominuscule Schubert calculus, Geometry Seminar, 24 March 2005, Texas A&M University. Abstract.
Equivariant Cohomology of the Quot Scheme, 3 December 2004, Algebraic Geometry Seminar, Texas A&M. Quot
Tropical Interpolation, 25 November 2004, UNAM, Mexico City. Abstract. Expository Article
Equivariant Cohomology of the Quot Scheme, 24 November 2004, CINVESTAV, Mexico City. Abstract.
Lower bounds for real polynomial systems from sign-imbalanced posets, 23 November 2004, UNAM, Mexico City. Abstract
Tropical Interpolation, 19 November 2004, Joint CIMAT-U. Morelia, Algebraic Geometry Seminar. Abstract. Expository Article
Lower bounds for real polynomial systems from sign-imbalanced posets, 28 May 2004, Combinatorics Seminar, University of California at Davis.
Lower bounds in Enumerative Real Algebraic Geometry, 3 May 2004, Algebra Seminar, Stanford University.
Lower bounds for real polynomial systems from sign-imbalanced posets, 26 March 2004, Combinatorics Seminar, University of Michigan.
Lower bounds for real polynomial systems from sign-imbalanced posets, 4 March 2004, Algebraic Geometry Seminar, Colorado State University.
Lower bounds in Enumerative Real Algebraic Geometry, 17 February 2004, Commutative Algebra and Algebraic Geometry Seminar, University of California, Berkeley.
Lower bounds for real polynomial systems from sign-imbalanced posets, 4 February 2004, Combinatorics and Geometry Seminar, University of Washington. Abstract
Grothendieck Polynomial Formulas, 26 January 2004, Combinatorics Seminar, University of California at Berkeley. Abstract
The Real story of linear series on P¹, 7 November 2003, Columbia University Algebraic geometry Seminar. Abstract
Common transversals and tangents, June 16 2003, INRIA, Nancy. Abstract.
Enumerative real algebraic geometry, 31 January 2003, Valley Geometry Seminar, University of Massachusetts, Amherst. Abstract.
Combinatorial Hopf algebras, 15 November 2002, University of Michigan Combinatorics Seminar. Abstract.
Enumerative real algebraic geometry, TU-München, 11 April 2002. Abstract.
Common transversals and tangents in P³, 20 March 2002, CRANTS Seminar, SUNY Albany, Abstract.
Common transversals and tangents in P³, 14 March 2002, Rutgers University, Abstract.
Common transversals and tangents in P³, 30 November 2001, Valley Geometry Seminar, University of Massachusetts at Amherst. Abstract.
The Malvenuto---Reutenauer Hopf algebra of permutations, October 30 2001, SUNY Binghamton. Abstract.
Common transversals and tangents in P³, October 29 2001, Cornell University. Abstract.
The Hopf algebra of permutations of Malvenuto and Reutenauer, 24 October 2001, MIT Combinatorics Seminar. Abstract.
Enumerative real algebraic geometry, 1 July 2001, Geometry Seminar, UMIST, Manchester, England. Abstract.
Enumerative real algebraic geometry, 18 June 2001, IRMA Strasbourg, France. Abstract.
Elementary transversality in the Schubert calculus, 9 April 2001, Geometry-Algebra-Singularities-Combinatorics Seminar, Northeastern University. Abstract.
A sagbi basis for the quantum Grassmannian, 23 March 2001, Combinatorics Seminar, University of Michigan. Abstract.
Some real and unreal enumerative geometry, 12 February 2001, Algebra Seminar, Boston University. Abstract.
Maximally inflected curves, 16 January 2001, Logic-Topology-Algebraic Geometry Seminar, Texas Tech University Abstract.
Quantum reality: rational curves in real Grassmannians, 21 November 2000, Geometry Seminar, Courant Institute for the Mathematical Sciences. Abstract.
Eulerian actions on posets and the combinatorics of peaks, 28 April 2000, Combinatorics Seminar, University of Minnesota, Minneapolis. Abstract.
A sagbi basis for the quantum Grassmannian, 3 April 2000, Geometry-Algebra-Singularities-Combinatorics Seminar, Northeastern University. Abstract.
Schubert calculus in the control of linear systems, 31 March 2000, Special Geometry Seminar, University of Massachusetts-Amherst. Abstract.
Some real and unreal enumerative geometry for flag manifolds, 14 March 2000, Algebraic Geometry Seminar, University of California, Berkeley. Abstract.
Eulerian actions on posets and the combinatorics of peaks, 13 March 2000, Combinatorics Seminar, University of California, Berkeley. Abstract.
Pieri operators on posets, 16 February 2000, Combinatorics Seminar, MIT. Abstract.
Real rational curves in Grassmannians, 19 January 2000, University of Toronto. Abstract.
A sagbi basis for the quantum Grassmannian, 17 January 2000, Applied Algebra Seminar, York University, Toronto. Abstract.
Maximally inflected curves, 27 October 1999, Topology Seminar, University of California, Davis. Abstract.
Pieri operators on posets, 25 October 1999, Combinatorics Seminar, University of California, Berkeley. Abstract.
Non-commutative Pieri operators on posets, 4 October 1999, Combinatorics Seminar, Michigan State University. Abstract.
Feedback control of linear systems and the real Schubert calculus, 24 Juin 1999, Séminaire de Géométrie Algebrique, Université de Genève. Abstract.
Standard monomial theory for the quantum Grassmannian, 15 Juin 1999, Séminaire Theorie de representations et applications, IRMA, Université de Strasbourg.
Real rational curves in, and from Grassmannians, 10 Juin 1999, Séminaire de Géométrie réelle, IRMAR, Université de Rennes 1. Abstract.
Feedback control of linear systems and the real Schubert calculus, 27 mai 1999, Séminaire de Géométrie Algèbrique, IRMA, Université de Strasbourg. Abstract.
A SAGBI basis for the quantum Grassmannian, 3 May 1999, Combinatorics Seminar, University of Wisconsin-Madison. Abstract.
Real rational curves in Grassmannians, 22 March 1999, Differential Geometry Seminar, University of Wisconsin-Madison. Abstract.
Real Schubert calculus, 29 January 1999, Seminar, Northeastern University. Abstract.
Real Schubert calculus, 27 January 1999, Seminar, University of Massachusetts, Amherst. Abstract.
Pieri operators on posets, 20 January 1999, Seminar, University of Notre Dame. Abstract.
Real Schubert calculus, 19 January 1999, Seminar, University of Illinois, Urbana.
Real Schubert calculus, 10 January 1999, Seminar, Georgia Institute of Technology.
The special Schubert calculus is real, 9 December 1998, Algebraic Geometry Seminar, Uiversity of Utah; Abstract.
Real Schubert calculus: special and quantum, 1 December 1998, Algebraic Geometry, Commutative Algebra, and Combinatorics Seminar, University of California at Berkeley.
Non-commutative Pieri operators on posets, 19 November 1998, Algebra Seminar, University of Washington; Abstract.
New advances in enumerative real algebraic geometry, 12 November 1998, Working group in real algebraic geometry, MSRI Abstract.
Maps of flag manifolds: Schubert classes and singularities, 20 April 1998, Geometry/Topology Seminar, McMaster University; Abstract.
Pieri-type formulas for flag manifolds, 23 February 1998, Universität Zürich; Abstract.
Hopf algebras of edge-labeled posets, 20 February 1998, Lie Theory Semninar, University of Wisconsin-Madison. Abstract.
Pieri-type formulas for flag manifolds, 18 February 1998, Algebraic Geometry Seminar, University of Chicago, Abstract.
Pieri-type formulas for Schubert polynomials, 9 February 1998, Applied Algebra Seminar, York University. Abstract.
A Pieri-type formula for flag manifolds, 6 February 1998, The Ohio State University, Abstract.
Hopf algebras and edge-labeled posets, 6 October 1997, Applied Algebra Seminar, York University. Abstract.
Control theory, numerical Schubert calculus, and real polynomial systems, 3 July 1997, Seminaire Formes et Formules, Université de Nice & INRIA Sophia-Antipolis. Abstract.
The Control of linear systems and real enumerative geometry, 24 June 1997, Séminaire de Géométrie Algebrique, Université de Genève. Abstract.
Orders on the symmetric group and the multiplication of Schubert polynomials, 11 April 1997, George Washington University Combinatorics Seminar. Abstract.
Numerical Schubert calculus, 8 April 1997, Couraunt Institute of Mathematical Sciences Geometry Seminar. Abstract.
The intersection form for flag varieties, 6 March 1997, Texas A & M University Algebraic Geometry Seminar. Abstract.
The Intersection form for flag varieties, 4 February 1997, University of Utah Algebraic Geometry Seminar.
Schubert polynomials and chains in the Bruhat order on S_n, 22 October 1996, University of California at San Diego Combinatorics Seminar. Abstract.
Intersection theory for spherical varieties, 3 October 1996, University of Illinois at Urbana-Champaign Algebra Seminar. Abstract.
Structure constants for Schubert polynomials and the Bruhat order, 1 October 1996, University of Illinois at Urbana-Champaign Combinatorics and Graph Theory Seminar. Abstract.
Enumerative geometry for real varieties, 25 September 1996, University of Notre Dame Algebraic Geometry Seminar. Abstract.
Is the Schubert calculus effective?, 9 September 1996, University of California at Berkeley Discrete Mathematics Seminar. Abstract.
Symmetries of Littlewood-Richardson coefficients for flag varieties, 24 July 1996, University of British Columbia Algebraic Geometry Seminar.
Real enumerative geometry and effective algebraic equivalence, 20 May 1996, Northeastern University Singularities and Geometry Seminar. Abstract.
Symmetries of Littlewood-Richardson coefficients for Schubert polynomials, 17 May 1996, MIT Combinatorics Seminar.
Symmetries of Littlewood-Richardson coefficients for Schubert Polynomials and flag vareities, 30 November 1995, University of Waterloo Combinatorics Seminar.
Real enumerative geometry for the Grassmannian of lines in projective space, 16 June 1995, Séminaire de Géométrie Algebrique, Université Genève.
Pieri's rule for flag varieties, 16 February 1995, CICMA Algebraic Geometry Seminar, Centre de recherches de mathématiques, Montréal.
Pieri's rule for Schubert polynomials, 2 December 1994, MIT Combinatorics Seminar.
A geometric Pieri's rule, 20 October 1994, University of Illinois at Urbana-Champaign Algebra Seminar.
The Schubert calculus for the Grassmannian of lines in projective space is totally real, 25 October 1993, Michigan State University Topology Seminar.

Last modified: Tue Jan 28 21:05:55 CET 2020