Claus M. Sorensen
Department of Mathematics
University of California, San Diego
9500 Gilman Dr. #0112
La Jolla, CA 92093-0112
Office: APM 6151
e-mail: csorensen at ucsd dot edu
Research interests: Number theory, representation theory, automorphic forms, arithmetic geometry.
Math 209: UCSD number theory seminar
Math 104C: Number Theory III (MWF 3-3:50)
Koszul duality for Iwasawa algebras modulo p. February 2019.
Local Langlands correspondence in rigid families (with C. Johansson
and J. Newton). October 2018.
A vanishing result for higher smooth duals. Accepted for publication in
Algebra and Number Theory, May 2019.
Functorial properties of generalised Steinberg representations (with J. Hauseux
and T. Schmidt). Journal of Number Theory 195 (2019), 312-329.
Deformation rings and parabolic induction (with J. Hauseux
and T. Schmidt). Journal de Theorie des Nombres de Bordeaux 30 (2018), no 2, p. 695-727.
A note on Jacquet functors and ordinary parts. Math. Scand. 121 (2017), 311-319.
Strong local-global compatibility in the p-adic Langlands program for U(2) (with P. Chojecki). Rend. Semin. Mat. Univ. Padova 137 (2017), 135-153.
Weak local-global compatibility in the p-adic Langlands program for U(2) (with P. Chojecki). Rend. Semin. Mat. Univ. Padova 137 (2017), 101-133.
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. Accepted in vol. 2 of "Stabilization of the trace formula, Shimura varieties, and arithmetic applications",
cf. the Paris
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.