Class: TTh 9:00-10:20am in PDL C-401
Instructor: Cynthia Vinzant (email)
Office Hours: Th 2-4pm in PDL C-439 or by appointment

Class Syllabus

Quick Links: Gradescope, Discussion Board

Text Book
D. Maclagan and B. Sturmfels, Introduction to Tropical Geometry, Graduate Studies in Mathematics, 161. American Mathematical Society, 2015. (available online through UW library).

Other resources
Tropical Geometry by Grigory Mikhalkin, Johannes Rau
Twelve Lectures on Tropical Geometry by Bernd Sturmfels
What is an Amoeba? by Oleg Viro

Software
Singular online
Gfan
polymake

Schedule (Tentative)

Week	Topic	Reading	Homework
Jan. 7, 9 no class Jan 9 (JMM)	Introduction and Background Notes: 01/07, 01/09	MS 1.1, 1.4, 2.1	HW 1 (.tex, .pdf) due Sun. Jan. 19
Jan. 14, 16	Initial Ideals and Gröbner Complexes Notes: 01/14, 01/16	MS 2.1, 2.4, 2.5	HW 2 (.tex, .pdf) due Fri. Jan. 31
Jan. 21, 23	Tropical Bases, Hypersurfaces Notes: 01/21, 01/23	MS 2.6, 3.1, 3.2	Final Project topic due Mon. Feb. 10.
Jan. 28, 30	Fundamental Theorem and Structure Theorem Notes: 01/28, 01/30	MS 3.2, 3.3, 3.4
Feb. 4, 6	Intersections and tropical linear spaces Notes: 02/04, 02/06	MS 3.6, 4.1, 4.2	HW 3 (.tex, .pdf) due Fri. Feb. 21
Feb. 11, 13	Tropical Grassmannian and Dressian Notes: 02/11, 02/13	MS 4.3, 4.4
Feb. 18, 20	Bernstein's Theorem and Tropical convexity Notes: 02/18, 02/20	4.6, 5.2
Feb. 25, 27	Viro's patchworking
Mar. 4, 6	Student presentations
Mar. 11, 13	Student presentations
Mar. 19	Student presentations