Ofir Gorodetsky

I am a fourth year PhD student in Mathematics in Tel Aviv University. My advisors are Prof. Lior Bary-Soroker and Prof. Zeev Rudnick.

Research Interests

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

  1. A polynomial analogue of Landau's theorem and related problems
    O. Gorodetsky, Mathematika 63 (2017), no. 2, 622-665.
    Journal arXiv

  2. On certain degenerate Whittaker Models for cuspidal representations of GLk.n(Fq)
    O. Gorodetsky, Z. Hazan, Math. Z. 291 (2019), no. 1-2, 609-633.
    Journal arXiv

  3. Roots of Polynomials and the Derangement Problem
    L. Bary-Soroker, O. Gorodetsky, Amer. Math. Monthly 125 (2018), no. 10, 934-938.
    Journal arXiv

  4. q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon
    O. Gorodetsky, Int. J. Number Theory 15 (2019), no. 9, 1919-1968.
    Journal arXiv

  5. Irreducible polynomials over F2r with three prescribed coefficients
    O. Gorodetsky, Finite Fields Appl. 56 (2019), 150-187.
    Journal arXiv

  6. Mean values of arithmetic functions in short intervals and in arithmetic progressions in the large-degree limit
    O. Gorodetsky, accepted for publication in Mathematika.
    Journal arXiv

  7. The variance of the number of sums of two squares in Fq[T] in short intervals
    O. Gorodetsky, B. Rodgers, submitted.
    arXiv

  8. Chebotarev density theorem in short intervals for extensions of Fq(T)
    L. Bary-Soroker, O. Gorodetsky, T. Karidi, W. Sawin, Trans. Amer. Math. Soc. 373 (2020), 597-628.
    Journal arXiv

  9. Correlation of arithmetic functions over Fq[T]
    O. Gorodetsky, W. Sawin, Math. Ann. 376 (2020), no. 3-4, 1059-1106.
    Journal arXiv

  10. Multiplicative arithmetic functions and the Ewens measure
    D. Elboim, O. Gorodetsky, submitted.
    arXiv

  11. Traces of powers of matrices over finite fields
    O. Gorodetsky, B. Rodgers, submitted.
    arXiv

  12. On the variance of squarefree integers in short intervals and arithmetic progressions
    O. Gorodetsky, K. Matomäki, M. Radziwiłł, B. Rodgers, submitted.
    arXiv

  13. Uniform estimates for almost primes over finite fields
    D. Elboim, O. Gorodetsky, submitted.
    arXiv


Code

Here you can find the SageMath code that generates the graphs presented in the preprint "The variance of the number of sums of two squares in Fq[T] in short intervals". The functions F_graphs() and G_graphs() generate Figures 2 and 3, respectively. The function variance_graph() generates Figure 1, but one first must run this MATLAB code in the same folder.

Contact Details

Office: Aquarium, Schreiber, Floor 0
E-mail:
Last updated: June 26, 2020.