Krzysztof Klosin


Krzysztof Klosin
Cornell University
436 Malott Hall
Ithaca, NY 14853
USA
Email: klosin@math.cornell.edu
Tel: +1 607 255 5380
FAX: +1 607 255 7149





I am a Visiting Assistant Professor in the Department of Mathematics at Cornell University. I received my Ph.D. from the University of Michigan in 2006. My thesis advisor was Chris Skinner (currently at Princeton). Next academic year I will be a postdoctoral fellow at the University of Paris 13. Beginning Fall 2010 I will be an assistant professor in the Department of Mathematics at the City University of New York (Queens College). 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) (published in Annales de l'institut Fourier, 59 no. 1 (2009), p. 81-166).

  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).

  5. Congruences among automorphic forms on the unitary group U(2,2), thesis, University of Michigan.

  6. Maass spaces on U(2,2) and the Bloch-Kato conjecture for adjoint motives of modular forms (in preparation).

  7. Yoshida lifts and the Bloch-Kato conjecture for the convolution L-function (joint with M. Agarwal) (in preparation).



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:

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

  • Formes modulaires, Thrie de Hodge p-adique et Applications in Roscoff, France (July 13 - 17, 2009)

  • Noncongruence modular forms and modularity, AIM workshop in Palo Alto, California (August 17 - 21, 2009)

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