Krzysztof Klosin


Krzysztof Klosin
Département de Mathématiques
Institut Galilée
Université Paris 13
99 avenue J.B. Clément
93430 Villetaneuse
FRANCE
Email: klosin@math.utah.edu
Tel: +(33) 1 49 40 35 99





I am now a postdoc at the University of Paris 13, but at the moment this is my current webpage.

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 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

(the versions below may differ slightly from the published versions. Please, contact me for the latest versions of the 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) (pdf) (published in Journal de l'Institut de Math. de Jussieu, (2009) 8(4), 669-692 - copyright to the linked document held by Cambridge University Press).

  4. An R=T theorem for imaginary quadratic fields (joint with T. Berger) (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).



Some upcoming talks:

  1. Number Theory Seminar, DPMMS, University of Cambridge, March 9, 2010 at 2:30 pm.

  2. Seminaire Arithmetique et geometrie algebrique, Universite Louis Pasteur Strasbourg, February 22, 2010 at 4:00 pm.

  3. Oberseminar (Algebra, Geometrie und Zahlentheorie), University of Duisburg-Essen, February 4, 2010 at 4:15 pm.

  4. Seminaires de l'equipe d'Arithmetique et Geometrie Algebrique, Universite Paris Nord, November 6, 2009 at 10:30 am.

  5. Seminaire de theorie des nombres de Chevaleret, Universite Paris 6 et 7, October 26, 2009 at 2:00 pm.



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.



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