Arithmetic statistics, over number fields and function fields
L-functions
Finite fields and their applications
Hypergeometric identities and congruences
Past Teaching
Linear Algebra 1a (TA) - 2016A
Linear Algebra 1b (TA) - 2017A
Publications and Preprints
A polynomial analogue of Landau's theorem and related problems O. Gorodetsky, Mathematika 63 (2017), no. 2, 622-665. JournalarXiv
On certain degenerate Whittaker Models for cuspidal representations of GL_{k.n}(F_{q}) O. Gorodetsky, Z. Hazan, accepted for publication in Mathematische Zeitschrift. JournalarXiv
Roots of polynomials and the derangement problem L. Bary-Soroker, O. Gorodetsky, accepted for publication in the American Mathematical Monthly. JournalarXiv
q-Congruences, with applications to supercongruences and the Cyclic Sieving Phenomenon O. Gorodetsky, submitted. arXiv
Irreducible polynomials over F_{2r} with three prescribed coefficients O. Gorodetsky, accepted for publication in Finite Fields and Their Applications. JournalarXiv
Mean values of arithmetic functions of polynomials in short intervals and in arithmetic progressions O. Gorodetsky, submitted. arXiv
The variance of the number of sums of two squares in F_{q}[T] in short intervals O. Gorodetsky, B. Rodgers, submitted. arXiv
Chebotarev Density Theorem in Short Intervals for Extensions of F_{q}(T) L. Bary-Soroker, O. Gorodetsky, T. Karidi, W. Sawin, submitted. arXiv
Correlation of Arithmetic Functions over F_{q}[T] O. Gorodetsky, W. Sawin, submitted. arXiv