Karthik Ganapathy

I am a sixth 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. I grew up in the city of Kochi, 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". Journal of Commutative Algebra, 14(3) 315-318 Fall 2022. arXiv:2007.03038.

Recent/upcoming talks

• Jan 2024: Special Session on Group Actions in Commutative Algebra at Joint Mathematical Meeting.
• Jan 2024: Special Session on Commutative Algebra and Algebraic Geometry (associated with Invited Address by Daniel Erman) at Joint Mathematical Meeting.
• Nov 2023: Algebra Days at Arizona State University.
• Oct 2023: Algebraic Geometry Seminar at University of California, San Diego.
• Oct 2023: Commutative Algebra Seminar at University of Michigan, Ann Arbor.
• Sep 2023: Algebra Seminar at University of Georgia.
• Jul 2023: Stability in Topology, Arithmetic, and Representation Theory at Purdue University.
• Sep 2022: Algebra and Representation Theory seminar at University of Oklahoma.
• Aug 2022: MAGGC 2022 at University of Illinois Chicago.
• Jun 2022: WARTHOG 2022 Infinite-dimensional methods in commutative algebra at University of Oregon.
• May 2022: GradMoCCa at University of Minnesota.
• Apr 2021: Special Session on Commutative Algebra at AMS Spring Central Sectional Meeting.

Teaching

Contact