Karthik Ganapathy

I am a fifth year PhD candidate in the Department of Mathematics at the University of Michigan. My research interests lie in commutative algebra, representation theory and algebraic geometry.

In 2018, I graduated from the Chennai Mathematical Institute with a B.Sc (Hons.) in Mathematics and Computer Science. Before that, I lived in the city of Kochi in Kerala.

Research

1. "GL-equivariance in positive characteristic II: The infinite polynomial ring". (in preparation).
2. "GL-equivariance in positive characteristic I: The infinite exterior algebra". Submitted version. arXiv:2203.03693
3. "Stillman's question for twisted commutative algebras". To appear in J. Commut. Algebra. arXiv:2007.03038.

Recent/upcoming talks

• Sep 2022: Algebra and Representation Theory seminar at University of Oklahoma.
• Aug 2022: MAGGC 2022 at University of Illinois Chicago: "The infinite-variable polynomial ring in positive characteristic".
• Jun 2022: WARTHOG 2022 "Infinite-dimensional methods in commutative algebra" at University of Oregon.
• May 2022: GradMoCCa at University of Minnesota: "The infinite-variable polynomial ring in positive characteristic".
• Apr 2021: Special Session on Commutative Algebra at AMS Spring Central Sectional Meeting: "Stillman's question for GL-equivariant rings".

Teaching

Contact