Keerthi Madapusi Pera



Department of Mathematics
University of Chicago,
5734 S University Ave,
Chicago, IL 60616, U.S.A.

Email: keerthi [at] math [dot] uchicago [dot] edu

I am an assistant professor at the department of mathematics at the University of Chicago, which is where I also got my PhD. My advisor was Mark Kisin, who is now at Harvard. I grew up in India and first came to the US to get a BS in mathematics at Yale. You can find my CV here.

Research Interests:

  • Integral models of Shimura varieties and their compactifications.
  • Hodge cycles on abelian varieties.
  • Integral p-adic Hodge theory.
  • Cycles on Shimura varieties.

Publications and pre-prints:

  1. 2-adic integral canonical models and the Tate conjecture in characteristic 2 (joint with W. Kim). Abstract PDF (December 4, 2015)
  2. Faltings heights of abelian varieties with complex multiplication (joint with F. Andreatta, E. Goren and B. Howard). Abstract PDF (December 1, 2015)
  3. Height pairings on orthogonal Shimura varieties (joint with F. Andreatta, E. Goren and B. Howard). Abstract PDF (April 3, 2015)
  4. The Tate conjecture for K3 surfaces in odd characteristic, Invent. Math. Abstract PDF (Dec 15, 2014) Published version
  5. Integral canonical models for Spin Shimura varieties, Compositio Math. Abstract PDF (Jan 15, 2015) Published version
  6. Toroidal compactifications of integral models of Shimura varieties of Hodge type. Abstract PDF (Feb 20, 2015)


Thesis: Toroidal Compactifications of Integral Canonical Models of Shimura varieties of Hodge type.

The results of my thesis have been superseded by those in the paper 'Toroidal compactifications...' above. If you would still like to see it, click here.

 

Some (very incomplete) notes of mine:

The first two were written back when I was an innocent first year student, who believed that the only way to learn something was to write it all up in gory detail. I still find parts of them useful, so I’ve put them up for general consumption. Caveat: citation in these notes is quite poor, but obviously stuff has made it into them from all over the place. And nothing in them is original. There are some mysterious references in these notes to other notes that I have written. Those notes can be found here.

 

·        Basic Commutative Algebra

·        Basic Algebraic Geometry

·        Perfect complexes: The linear algebraic content of semi-continuity and base change

·        Log p-divisible groups (after Kato)

 

Other news

You might have known me under the last name Madapusi Sampath (or simply Madapusi). I'm in the process of getting my name officially to Madapusi Pera, a combination of my last name and my wife's.