Supervisor’s research interests

• Additive Combinatorics
• Number Theory
• Combinatorial
• Ergodic Theory

We various study classical themes of Additive Combinatorics, the sum-product phenomenon, applications to Number Theory, Dynamical Systems, Computer Science, Classical Analysis, Growth in Groups and other mathematical fields.

Research highlights

It will be a close contact with the mathematical community of Steklov Mathematical Inst., IPPI RAN, MSU and MIPT of course. Financial support of postdoctoral students is possible as well as.

Main publications

• Shkredov, Ilya D. "On a problem of Gowers." Izvestiya: Mathematics 70.2 (2006): 385-425
• Roche-Newton, Oliver, Misha Rudnev, and Ilya D. Shkredov. "New sum-product type estimates over finite fields." Advances in Mathematics 293 (2016): 589-605.
• Schoen, Tomasz, and Ilya D. Shkredov. "Roth’s theorem in many variables." Israel Journal of Mathematics 199.1 (2014): 287-308.
• Konyagin, S.V., and I.D. Shkredov. "On sum sets of sets having small product set." Proceedings of the Steklov Institute of Mathematics 290.1 (2015): 288-299.
• Recurrence in Mean, Mat. Zametki 72:4 (2002), 625-632; English transl. Mathematical Notes 72:4 (2002), 576-582