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.