Krzysztof Klosin



Krzysztof Klosin
Department of Mathematics
Princeton University
Fine Hall, Washington Rd
Princeton, NJ 08544, USA
Email: kklosin(at)qc(dot)cuny(dot)edu
Tel: +1 718 997 5833



I am an associate professor in the Department of Mathematics at Queens College of the City University of New York (CUNY) and a member of the doctoral faculty at the Graduate Center of CUNY. This year I am a visiting research scholar at Princeton University. I received my Ph.D. from the University of Michigan in 2006. My thesis advisor was Chris Skinner.
My other academic affiliations:
  1. Princeton University (Visiting Research Scholar 2017-2018)
  2. Cornell University (Visiting Assistant Professor 2008-2009)
  3. Université Paris 13 (postdoc 2009-2010)
  4. Cornell University (Visiting Assistant Professor 2008-2009)
  5. University of Utah (Burgess Assistant Professor 2006-2008)
Click here for my detailed CV. My research is supported by the Young Investigator Grant #H98230-16-1-0129 from the National Security Agency and PSC-CUNY Research Award TRAD-A-48-88.



Ph.D. students

Joe Kramer-Miller - graduated May 2016 from the CUNY Graduate Center; currently a Heilbronn Postdoctoral Fellow at the University College London.

Lawrence Vu - currently a Ph.D. student at CUNY Graduate Center.

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, the Paramodularity Conjecture.


Papers/preprints

(the versions below may differ slightly from the published versions. Please, contact me for the latest versions of the papers.)
  1. Ihara's lemma for imaginary quadratic fields (dvi, pdf), published in Journal of Number Theory, 128 (2008), 2251-2262.

  2. 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).

  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) (dvi, pdf)(published in Mathematische Annalen, 349 (2011), no. 3, 675-703. The original publication is available at www.springerlink.com - click here to access the published version).

  5. On deformation rings of residually reducible Galois representations and R=T theorems (joint with T. Berger) (published in Mathematische Annalen, 355 (2013), no. 2, 481-518. The original publication is available at www.springerlink.com - click here to access the published version).

  6. Yoshida lifts and the Bloch-Kato conjecture for the convolution L-function (joint with M. Agarwal) published in Journal of Number Theory, 133 (2013), 2496-2537.

  7. On Ihara's lemma for degree one and two cohomology over imaginary quadratic fields published in International Journal of Number Theory, 09 (2013), 1541-1561.

  8. A note on Hecke eigenvalues of hermitian Siegel Eisenstein series published in The Ramanujan Journal, 35 (2014), no. 2, 287-298. . The final publication is available here.

  9. On higher congruences between automorphic forms (joint with T. Berger and K. Kramer) published in Mathematical Research Letters, 21 (2014), no. 1, 71-82.

  10. Maass spaces on U(2,2) and the Bloch-Kato conjecture for the symmetric square motive of a modular form published in Journal of the Mathematical Society of Japan, Vol. 67, No. 2 (2015) pp. 797-860. This version contains more details than the published version.

  11. On lifting and modularity of reducible residual Galois representations over imaginary quadratic fields (joint with T. Berger) published in IMRN (2015), no. 20, 1052510562.

  12. On the action of the U_p operator on the local (at p) representation attached to congruence level Siegel modular forms (joint with Jim Brown), accepted for publication, to appear in The Ramanujan Journal.

  13. Congruence primes for automorphic forms on unitary groups and applications to the arithmetic of Ikeda lifts (joint with Jim Brown), accepted for publication, to appear in Kyoto Journal of Mathematics.

  14. A p-adic Hermitian Maass lift (joint with T. Berger) (submitted).

  15. On Ribet's isogeny For J_0(65) (joint with M. Papikian) (submitted).

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





Some recent and upcoming talks:

  1. Algebra and Number Theory Seminar, Pennsylvania State University, May 4, 2017, at 11:00 am.

  2. 2nd International Conference on Galois Representations and Automorphic Forms, The Banach Conference Center, Bedlewo, Poland, July 19, 2016 at 10:10 am.

  3. Number Theory Seminar, University of Sheffield, UK, July 21, 2016 at 2:00 pm.

  4. 30th Automorphic forms Workshop, Wake Forest University, NC, March 8, 2016 at 10 am.

  5. Workshop on Bianchi and Siegel modular forms, Sheffield, UK, July 16, 2014 at 11:00 am.

  6. Building Bridges: 2nd EU-US conference on Automorphic Forms and related topics , Bristol, UK, July 9, 2014 at 9:30 am.

  7. 28th Automorphic forms Workshop, Moab, UT, May 12, 2014 at 3:30 pm.

  8. Algebra and Number Theory Seminar, Pennsylvania State University, March 6, 2014, at 11:15 am.

  9. Number Theory Seminar, University of North Carolina at Chapel Hill, November 5, 2013, at 3:30 pm.

  10. Algebra and Number Theory Seminar, Universitat Heidelberg, July 26, 2013, at 1:30 pm.

  11. Colloquium, Universitat Heidelberg, July 25, 2013, at 5:00 pm.

  12. Number theory seminar, University of California at San Diego, January 14, 2013, at 2 pm.

  13. Automorphic forms and representation theory seminar, Purdue University, October 25, 2012 at 1:30 pm.

  14. Number theory seminar, University of Sheffield, UK, August 13, 2012 at 11:00 am.

  15. Building Bridges: 1st EU-US conference on Automorphic Forms and related topics , Aachen, Germany, August 8, 2012 at 4:40 pm.

  16. Algebraic K-theory and arithmetic conference, The Banach Center, Bedlewo, Poland, July 25, 2012 at 3:00 pm.

  17. ESI Programme on Automorphic Forms: Arithmetic and Geometry, Vienna, Austria, January 17, 2012.

  18. Number Theory seminar, Clemson University, December 1, 2011 at 3:30 pm.

  19. Galois Representations and Automorphic Forms - conference talk, The Banach Center, Bedlewo, Poland, August 17, 2011 at 2:20 pm.

  20. Number theory lunch seminar, Max-Planck-Institut fuer Mathematik, Bonn, July 20, 2011 at 2:15 pm.

  21. Number theory seminar, University of Sheffield, UK, June 29, 2011 at 1:10 pm.

  22. Colloquium, Szczecin University, Szczecin, Poland, January 20, 2011 at 4:00 pm.

  23. Seminaires de l'equipe d'Arithmetique et Geometrie Algebrique, Universite Paris Nord, January 7, 2011 at 10:30 am.

  24. Colloquium, University of A. Mickiewicz, Poznan, Poland, December 22, 2010 at 12:00 pm.

  25. Collaborative Number Theory Seminar at the CUNY Graduate Center, CUNY, November 19, 2010 at 4:00 pm.

  26. Number Theory seminar, Northwestern University, November 1, 2010 at 2:00 pm.

  27. Colloquium, CUNY Queens College, October 5.

  28. Oberseminar (Algebra, Geometrie und Zahlentheorie), University of Duisburg-Essen, June 1, 2010 at 4:15 pm.

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

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

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

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




Expository articles/talks

  1. On the norms of p-stablized elliptic newforms (joint with Jim Brown with appendix by Keith Conrad).

  2. 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).

  3. 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.

  4. 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.

  5. 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).

  6. 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.

  7. 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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