Kęstutis Česnavičius Department of Mathematics, MIT 77 Massachusetts Avenue, Cambridge, MA 02139, USA Office:  2-089 E-mail:  kestutis@math.mit.edu Phone:  617-252-1195 Office hours:  Tue 2:30-4:30pm I am a third year graduate student interested in arithmetic geometry. My advisor is Bjorn Poonen.

Preprints

• Selmer groups as flat cohomology groups
  Given an abelian variety A over a global field K, we prove that for all but finitely many prime numbers p, the p-Selmer group of A is determined by the mod p Galois representation A[p].


• The p-parity conjecture for elliptic curves with a p-isogeny, submitted.
  We prove the p-isogeny conjecture of T. and V. Dokchitser. The p-parity conjecture for elliptic curves having a p-isogeny follows: the global root number matches the parity of the p-infinity Selmer rank.

Expository writing

• Obstructions to rational points via étale homotopy
  Notes from the talk I gave at the MIT graduate student algebraic geometry and number theory seminar STAGE in Decemeber 2011.


• l-adic perverse sheaves
  An expository paper written for the class Perverse Sheaves in Representation Theory in Fall 2011.