# Claus M. Sorensen
### Assistant Professor of Mathematics
Department of Mathematics
Princeton University
Fine Hall, Washington Road
Princeton, NJ 08544-1000 USA
Office: Fine Hall 403
e-mail: claus at princeton dot edu (csorensen at ucsd dot edu)
(PhD, Caltech, 2006, Advisor: Dinakar Ramakrishnan)
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**
Joint IAS/PU Number Theory Seminar**, and **
Department Colloquium**

**Research interests:**

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

**Current Teaching:**

**
Linear Algebra with Applications** (MAT 202, Spring 2013, MWF 11-11:50 and 12:30-1:20, McDonnell 105 and 104 resp.)

Book:
Bretcher (4th Ed.)

**Taught:**

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

**Recent Papers and Preprints:**

Weak local-global compatibility in the p-adic Langlands program for U(2) (with P. Chojecki). Preprint (last updated April 16th, 2013).
Eigenvarieties and invariant norms: Towards p-adic Langlands for U(n). Preprint.
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. Preprint,
cf. the Paris 7
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:**
Rutgers, Purdue, UIC, Urbana-Champaign, UCSD, McGill, Maryland, MIT, IAS, UCLA, Fields, Hopkins, Penn, Cornell, Columbia, BU.

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(Citizen of Denmark, US permanent resident)