I am a third year PhD student in Mathematics in
Tel Aviv University
. My advisors are Prof.
Arithmetic statistics, over number fields and function fields
Finite fields and their applications
Hypergeometric identities and congruences
Linear Algebra 1a (TA) - 2016A
Linear Algebra 1b (TA) - 2017A
Publications and Preprints
A polynomial analogue of Landau's theorem and related problems
, Mathematika 63 (2017), no. 2, 622-665.
On certain degenerate Whittaker Models for cuspidal representations of GL
O. Gorodetsky, Z. Hazan
, accepted for publication in Mathematische Zeitschrift.
Roots of polynomials and the derangement problem
L. Bary-Soroker, O. Gorodetsky
, accepted for publication in the American Mathematical Monthly.
q-Congruences, with applications to supercongruences and the Cyclic Sieving Phenomenon
Irreducible polynomials over F
with three prescribed coefficients
, accepted for publication in Finite Fields and Their Applications.
Mean values of arithmetic functions of polynomials in short intervals and in arithmetic progressions
The variance of the number of sums of two squares in F
[T] in short intervals
O. Gorodetsky, B. Rodgers
Chebotarev Density Theorem in Short Intervals for Extensions of F
L. Bary-Soroker, O. Gorodetsky, T. Karidi, W. Sawin
Correlation of Arithmetic Functions over F
O. Gorodetsky, W. Sawin
you can find the
code that generates the graphs presented in the preprint
"The variance of the number of sums of two squares in F
[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
MATLAB code in the same folder.
Office: Room 005, Schreiber, Floor 0