Krzysztof Klosin


Krzysztof Klosin
University of Utah
Department of Mathematics, LCB
155 S 1400 E RM 233 Salt Lake City, UT, 84112-0090
USA
Email: klosin@math.utah.edu
Tel: +1 801 585 7665
FAX: +1 801 581 4148





I am a Burgess Assistant Professor in the Department of Mathematics at the University of Utah. 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.

In the academic year 2008-2009 I will be at Cornell University.

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) (accepted for publication in Journal of Number Theory)

  3. A deformation problem for Galois representations of imaginary quadratic fields (joint with T. Berger) (dvi, pdf) (submitted).

  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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