Fall 2021
Math 666: Nonlinear Algebra

Final projects.

29 November C.J. Bott and Nate Welty: Schubert Calculus.
1 December Joshua Goldstein and Kanan Gupta: Basics of p-adic arithmetic.
3 December Jordy Lopez-García and Arpan Pal: Algebraic Compressed Sensing.
6 December Kelly Maluccio and Lauren Snider: Matroids.
8 December Alexander Adams and Byeongsu Yu: Algebraic Statistics and its applications to Phylogenetics.

9 December 9:00--12:30 Blocker 628.

9:00 Thomas Yahl and Weixun Deng: Discriminants of polynomial systems.
9:40 Derek Wu and Tiansu Zhang: Symmetric ideals with an application to representations of symmetric groups.
10:20 Jerik Eakins and Yaoze Zou: Algebraic Analysis.
11:10 James Woodcock and Cosmas Kravaris: Polytopes, Mixed Volume and Sparse Resultants.
11:50 Matt Faust and Zonglin Tian: A-discriminants.

Computational Examples from the class.

Lectures: MWF: 10:20–11:10 Blocker 306.

Instructor: Frank Sottile

Office: Blocker 601K

Email: sottile@tamu.edu

WWW: www.math.tamu.edu/~sottile

Office Hours :

	Zoom	958 3410 6323 PassCode: largest Fermat Prime
	Mondays	14:00–15:00
	Wednesday	16:00–17:00
	By appointment

Seminars on Monday and Fridays Geometry (MF) and Algebra and Combinatorics (F)
are a good venue for catching faculty members, including Frank.

Course webpage: www.math.tamu.edu/~sottile/teaching/21.2/NLA.html

Content
Nonlinear Algebra, which was the title of the Fall 2018 program at the ICERM in Brown, refers to topics in algebraic geometry which underpin many of its applications. This course will adapt topics from the recent book by Michalek and Sturmfels: "Invitation to Nonlinear Algebra". (Copies may be found on the web).
There will be some homework assignments and also computational assignments. Students will do a final project, presenting material from some research papers, which could be their own.
The prerequisite is graduate algebra or consent of the instructor.

Grading
We will have final projects on topics related to your research interests and the course material.
These will be presented at the end of the semester. Please begin to think about your project and discuss it with Frank.
It is best to do this in teams of 2 (and sometimes 3) students.

Software
Students are encouraged to install software on their computers and use it to explore the examples and exercises.

Typos
This is a new book, and we will also have a contest to find typographical or other errors in the book.

Pictures of the board September 13. Some (slightly corrupted) notes .
Pictures of the board September 15.

Here are some additional papers of interest that are related.

Last modified: Tue Dec 21 13:06:57 CST 2021 by sottile

Fall 2021 Math 666: Nonlinear Algebra

Fall 2021
Math 666: Nonlinear Algebra