# Omer Offen

Degrees

Columbia University, Ph.D.Columbia University, M.Sc.

Tel-Aviv University, B.S.

Expertise

Automorphic representationsProfile

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." __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.