# 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.