## Suchandan Pal

I'm a graduate student in mathematics studying number
theory/arithmetic geometry at the University of Michigan. My
advisior is Kartik
Prasanna and I think about questions in arithmetic geometry using
rigid analytic methods-specifically ratios of Petersson norms
and Tamagawa numbers/special values of L-functions. I wrote
a program to calculate regular models of
curves over ℤ. It can make use of cluster computing resources,
if you have access to them. One interesting result in this circle
of ideas is *p-adic uniformization*, and it is described in many
places. In short, the main result is that covering spaces of certain
varieties exist as rigid analytic spaces, and that the canonical map
from the universal cover respects the galois action.

For a
quick statement of this theorem in the context of Shimura Curves see
Theorem 4.7 in "Heegner points, p-adic L-functions and the
Cerednik-Drinfeld uniformization" (by M. Bertolini and H. Darmon)
available here
on their website. The introduction of their paper also contains a neat
application.

**Contact Information:** psuchand -at- umich .dot. edu

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