Course Syllabus

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Last update: 08/29/2016

INSTRUCTOR: Amin Gholampour
OFFICE: MTH 4407 (4th floor in Math building) 
EMAIL: amingh@math.umd.edu 
OFFICE PHONE: 301 405 0889 
LECTURES: MWF 11-11:50am at MTH1311
OFFICE HOURS: Anytime you find me in office, or by appointment

COURSE RELATED POLICIES: Find information about the university course related policies here.

OUTLINE: This course is an introduction to toric algebraic geometry. It starts with some basic notions: cones, fans, polytopes,  toric varieties, toric morphisms, divisors,... and continues with some more advanced topics such as sheaf cohomology, intersection theory,... and if time allows ends with generalizations to toric DM stacks, and applications to mirror symmetry. 

References:

  1. Toric Varieties by Cox, Little, Schenck
  2. Introduction to Toric Varieties by Fulton
  3. Convex Bodies and Algebraic Geometry by Oda
  4. Mirror Symmetry and Algebraic Geometry by Cox, Katz
  5. Borisov, Lev, Linda Chen, and Gregory Smith. "The orbifold Chow ring of toric Deligne-Mumford stacks." Journal of the American Mathematical Society 18.1 (2005): 193--215.
  6. Fantechi, Barbara, Etienne Mann, and Fabio Nironi. "Smooth toric Deligne-Mumford stacks." Journal für die reine und angewandte Mathematik (Crelles Journal) 2010.648 (2010): 201-244.

 HOMEWORK: There will be some sporadic homework problems posted here or assigned in class. You are encouraged to use the computer software SAGE through this course and for doing some of these problems. SAGE can be used for free by logging in at  www.sagemath.com. Here is an online tutorial http://www.sagemath.org/help.html. 

 

Course Summary:

Date Details Due