Omer Offen

Degrees
Columbia University, Ph.D.Columbia University, M.Sc.
Tel-Aviv University, B.S.
Expertise
Automorphic representationsProfile
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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 | 108b | Introduction to Number Theory |
MATH | 203a | Introduction to Algebraic Number Theory |
MATH | 203b | Topics in Number Theory |
MATH | 298a | Specialized Mathematics Seminar Class |
MATH | 299a | Mathematics Seminar Class |
Scholarship
Offen, Omer/Mitra, Arnab. "On Sp-distinguished representations of the quasi-split unitary groups." J. Inst. Math. Jussieu 20. 1 (2021): 225–276.
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.