Omer Offen

Associate Professor of Mathematics

offen@brandeis.edu
781-736-3072
Goldsmith Building, 206

Departments/Programs

Mathematics

Degrees

Columbia University, Ph.D.
Columbia University, M.Sc.
Tel-Aviv University, B.S.

Expertise

Automorphic representations

Profile

I study automorphic forms in the realm of Langlands functoriality conjectures and their more recent generalization to spherical varaieties by Venkatesh-Sakellaridis. In particular, I am interested in the period integrals of automorphic forms, characterization of non-vanishing and relation with special L-values. I am also interested in the related local representation theoretic problems that arise from the study of period integrals and their relation with harmonic analysis on locally compact homogeneous spaces.

Courses Taught

MATH	15a	Applied Linear Algebra
MATH	23b	Introduction to Proofs
MATH	28a	Introduction to Groups
MATH	100a	Introduction to Algebra, Part I
MATH	108b	Introduction to Number Theory
MATH	201a	Topics in Algebra
MATH	203a	Introduction to Algebraic Number Theory
MATH	203b	Topics in Number Theory

Scholarship

Offen, Omer/Mitra, Arnab. "On Sp-distinguished representations of the quasi-split unitary groups." JIMJ doi:10.1017/S1474748019000161. (2019): 1-52.. (forthcoming)

Offen, Omer. "On symplectic periods and restriction to SL(2n)." Math Z. 294. 3-4 (2020): 1521–1552.

Offen, Omer. "Period integrals of automorphic forms and local distinction. Relative aspects in representation theory, Langlands functoriality and automorphic forms." Lecture Notes in Math. 2221. Jean-Morlet Ser. (2018): 159–195.

Offen, Omer/ Sayag, Eitan. "Klyachko periods for Zelevinsky modules." Ramanujan Journal Ramanujan J (2018). https://doi.org/10.1007/s11139-018-0040-9. (2018): 1-9.

Offen, Omer/Lapid, Erez. "On the distinguished spectrum of Sp(2n) with respect to Sp(n) × Sp(n)." Kyoto Journal of Math 58. 1 (2018): 101--171.

Offen, Omer/Matringe, Nadir. "Gamma factors, root numbers, and distinction." Canadian Journal of Mathematics 70. 3 (2018): 683--701.

Mitra Arnab/Offen, Omer/Sayag Eitan. "Klyachko models for ladder representations." Doc. Math. 22. (2017): 611–657.