Mikhail Gabdullin

Mikhail Gabdullin serves as a J.L. Doob Research Assistant Professor at the University of Illinois Urbana-Champaign's Department of Mathematics within the College of Liberal Arts & Sciences. Concurrently, he maintains research positions at Moscow State University (Laboratory of Multidimensional Approximation and Discretization) and the Steklov Mathematical Institute. His multidisciplinary academic journey spans institutions in Russia and the United States.

Education

• Ph.D. in Mathematics, Moscow State University (2019). Thesis: Estimates of character sums and its applications (Advisor: Sergei Konyagin)
• M.S. in Mathematics, Ural State University (2015)
• B.S. in Mathematics, Ural State University (2013)

Research Focus

Gabdullin's research bridges Number Theory and Harmonic Analysis. His number-theoretic investigations include character sum estimation, quadratic residue distributions, prime avoidance problems, and arithmetic function behavior. In harmonic analysis, he examines convergence properties of trigonometric series and specializes in polynomials with frequencies restricted to square or cubic integer sets, combining combinatorial and analytic methodologies.

Recent publications demonstrate sustained focus on trigonometric polynomial theory (2022-2024), while earlier works (2015-2021) emphasize character sums and modular arithmetic constraints. This consistent output in high-impact journals reflects his expertise in translating abstract number theory into functional analytic frameworks.

Awards & Recognition

• Young Russian Mathematics Award (2020)
• Best Paper Award, Steklov Mathematical Institute (2020)

Professional Activities

Gabdullin maintains an extensive network of international collaborations, evidenced by visiting appointments at institutions including the Alfréd Rényi Institute (Budapest), Mathematical Sciences Research Institute (Berkeley), and participation in premier conferences like the Canadian Number Theory Association meetings and Journées Arithmétiques. His mentoring activities currently focus on research supervision rather than formal student advising.