Keerthi Madapusi Pera



Department of Mathematics, SC 235,
Harvard University,
One Oxford St,
Cambridge, MA 02138, U.S.A.

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

I just graduated from the the department of mathematics at the University of Chicago, and am now a Benjamin Peirce Fellow at Harvard. My advisor was Mark Kisin, who is now also 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.

Click here if you would like to do a Senior Thesis with me.


Research Interests:

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

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The results of my thesis have been superseded by those in the paper 'Toroidal compactifications...'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


Publications and pre-prints:

  1. The Tate conjecture for K3 surfaces in odd characteristic. Abstract PDF (April 22, 2013)
  2. Integral canonical models for Spin Shimura varieties. Abstract PDF (April 18, 2013)
  3. Toroidal compactifications of integral models of Shimura varieties of Hodge type. Abstract PDF (Feb 19, 2013)

 

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.