Analytic number theory and arithmetic statistics, over number fields and functions fields
L-functions
Random matrix theory
Finite fields and their applications
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, Math. Z. 291 (2019), no. 1-2, 609-633. JournalarXiv
Roots of Polynomials and the Derangement Problem L. Bary-Soroker, O. Gorodetsky, Amer. Math. Monthly 125 (2018), no. 10, 934-938. JournalarXiv
q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon O. Gorodetsky, Int. J. Number Theory 15 (2019), no. 9, 1919-1968. JournalarXiv
Irreducible polynomials over F_{2r} with three prescribed coefficients O. Gorodetsky, Finite Fields Appl. 56 (2019), 150-187. JournalarXiv
Mean values of arithmetic functions in short intervals and in arithmetic progressions in the large-degree limit O. Gorodetsky, accepted for publication in Mathematika. JournalarXiv
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, Trans. Amer. Math. Soc. 373 (2020), 597-628. JournalarXiv
Correlation of arithmetic functions over F_{q}[T] O. Gorodetsky, W. Sawin, Math. Ann. 376 (2020), no. 3-4, 1059-1106. JournalarXiv
Multiplicative arithmetic functions and the Ewens measure D. Elboim, O. Gorodetsky, submitted. arXiv
Traces of powers of matrices over finite fields O. Gorodetsky, B. Rodgers, submitted. arXiv
On the variance of squarefree integers in short intervals and arithmetic progressions O. Gorodetsky, K. Matomäki, M. Radziwiłł, B. Rodgers, submitted. arXiv
Uniform estimates for almost primes over finite fields D. Elboim, O. Gorodetsky, submitted. arXiv