Claus M. Sorensen


Department of Mathematics, UCSD
9500 Gilman Dr. #0112
La Jolla, CA 92093-0112 USA

Office: APM 6151


e-mail: csorensen at ucsd dot edu



Research interests: UCSD number theory seminar

Number theory, representation theory, automorphic forms, arithmetic geometry.

Current Teaching:

The mod p Langlands program (Math 205, Topics in Number Theory, Spring 2016)

Taught (UCSD, Princeton, Caltech):

Abstract & linear algebra, calculus, real & complex analysis, number theory, Galois theory, class field theory, modular forms, Weil conjectures.

Selected Preprints:

  • Deformation rings and parabolic induction (with J. Hauseux and T. Schmidt). arXiv preprint, dated July 9th, 2016.

    Selected Publications:

  • A note on Jacquet functors and ordinary parts. Accepted in Math. Scand.

  • Strong local-global compatibility in the p-adic Langlands program for U(2) (with P. Chojecki). Rend. Semin. Mat. Univ. Padova 137, June 2017.

  • Weak local-global compatibility in the p-adic Langlands program for U(2) (with P. Chojecki). Rend. Semin. Mat. Univ. Padova 137, June 2017.

  • Locally algebraic vectors in the Breuil-Herzig ordinary part (with H. Gao). Manuscripta Math. 151 (2016) 113-131.

  • The local Langlands correspondence in families and Ihara's lemma for U(n). Journal of Number Theory 164 (2016) 127-165.

  • The Breuil-Schneider conjecture, a survey. Advances in the Theory of Numbers. Proceedings of the CNTA XIII. Fields Institute Communications, Vol. 77. A. Alaca, S. Alaca, K. S. Williams (Eds.) 2015.

  • Eigenvarieties and invariant norms. Pacific Journal of Mathematics 275-1 (2015), 191-230.

  • A proof of the Breuil-Schneider conjecture in the indecomposable case. Annals of Mathematics 177 (2013), 1-16.

  • Divisible motives and Tate's conjecture. Int. Math. Res. Not., Vol. 2012, No. 16, pp. 3763-3778

  • Galois representations and Hilbert-Siegel modular forms. Doc. Math. 15, 2010, 623-670.

  • A Patching Lemma. To appear in vol. 2 of "Stabilization of the trace formula, Shimura varieties, and arithmetic applications", cf. the Paris Book Project.

  • Potential level-lowering for GSp(4). J. Inst. Math. Jussieu, Volume 8, Issue 03, July 2009, pp. 595-622.

  • Level-raising for Saito-Kurokawa forms. Compos. Math., Volume 145, Issue 04, pp. 915-953.

  • Level-raising for GSp(4). Proc. of the 9th Number Theory Workshop in Hakuba, Japan, 2006.

  • A generalization of level-raising congruences for algebraic modular forms. Ann. Inst. Fourier, 56, 2006, no. 6, 1735-1766.

    Recent talks:

    Munster, UCI, UCSC, Rutgers, Purdue, UIC, Urbana-Champaign, UCSD, McGill, Maryland, MIT, IAS, UCLA, Fields, Hopkins, Penn, Cornell, Columbia, BU.