Krzysztof Klosin


I am now an assistant professor at Cornell University. Please, click here to be taken to my current website.

I received my Ph.D. from the University of Michigan in 2006. My thesis advisor was Chris Skinner (currently at Princeton). Click here for my detailed CV.





Research

My research is in algebraic number theory. More specifically I am interested in: the Bloch-Kato conjecture for modular forms, congruences among automorphic forms on GL(2) and higher-rank groups, modularity of Galois representations, special values of L-functions.

Preprints/papers

  1. Congruences among modular forms on U(2,2) and the Bloch-Kato conjecture (dvi, pdf) (accepted for publication in Annales de l'institut Fourier).

  2. Ihara's lemma for imaginary quadratic fields (dvi, pdf), published in Journal of Number Theory, 128 (2008), 2251-2262.

  3. A deformation problem for Galois representations of imaginary quadratic fields (joint with T. Berger) (dvi, pdf) (accepted for publication, to appear in Journal de l'Institut de Math. de Jussieu).

  4. Adelic Maass spaces on U(2,2) (dvi, pdf) (submitted).



Expository articles/talks

  1. Congruences among automorphic forms on unitary groups and the Bloch-Kato conjecture (pdf) - slides from my talk at the Joint Meeting of the AMS in San Diego (January 2008).

  2. Some local (at p) properties of residual Galois representations (dvi, pdf) - presented at the 2005-06 Number Theory Learning Seminar on the Serre's conjecture at the University of Michigan.

  3. On the reflex norm (dvi, pdf) - presented in the 2004-2005 VIGRE Number Theory Working Group on complex multiplication of abelian varieties at the University of Michigan.

  4. On variations of Hodge structures - presented at the 2002 Arizona Winter School on "Periods" (joint with Jim Brown, Kirsten Eisentrager, Jorge Pineiro, Mak Trifkovich, Oliver Watson, supervised by Prof. Johan deJong).

  5. Finiteness of Mordell-Weil (dvi, pdf) - presented in the 2003-2004 VIGRE Number Theory Working Group on torsion points of elliptic curves over Q at the University of Michigan.

  6. Application of Mordell-Weil finiteness (dvi, pdf) - presented in the 2003-2004 VIGRE Number Theory Working Group on torsion points of elliptic curves over Q at the University of Michigan.



Some conferences I will be attending:

  1. 25th Journées Arithmétiques in Edinburgh, UK (July 2 - July 6, 2007)

  2. Summer School on Serre's Modularity Conjecture in Luminy, France (July 9 - July 20, 2007)

  3. First Joint International Meeting between the American Mathematical Society and the Polish Mathematical Society in Warsaw, Poland (July 31 - August 3, 2007)

  4. Arithmetic Algebraic Geometry Conference in Poznan, Poland (September 3 - September 7, 2007)

  5. The Joint Mathematics Meetings (Special session on Modular Forms and Modularity) in San Diego (January 6 - 9, 2008)

  6. Recent Developments in Number Theory: Selmer Groups, L-functions, and Galois Deformations in Los Angeles (March 24 - 29, 2008)

  7. Representations p-adiques des groupes p-adiques in Paris (July 7 - 12, 2008)

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