Office: Blocker 601L
Email:
sottile"at"math.tamu.edu
WWW:
https://franksottile.github.io/
Office Hours: TBA.Seminars on Monday and Fridays Geometry (MF) and
Algebra and Combinatorics (F)
are a good venue for catching faculty members, including Frank.
Real algebraic geometry is a fundamental input for many applications of algebraic geometry. Its goals and methods are also distinct from classical algebraic geometry. I expect to cover topics such as real solutions to systems of equations, including upper and lower bounds, positivity and sums of squares, real toric varieties, and non-standard real structures.
This would be based on parts of my book "Real solutions to Equations from Geometry", two chapters in Theobald's book "Real Algebraic Geometry and Optimization", as well as papers and other sources. The expected background is a graduate course in algebra, possibly concurrent.
- Some geometrical aspects of control points for toric patches
Gheorghe Craciun, Luis Garcia, and Frank Sottile. - Sign conditions for injectivity of generalized polynomial
maps with
applications to chemical reaction networks and real algebraic geometry,
S Müller, E Feliu, G Regensburger, C Conradi, A Shiu, A Dickenstein
Foundations of Computational Mathematics 16 (1), 69-97 2016.