Nikolay D. Filonov

Associate Professor

29 Line 14th (Vasilyevsky Island), 199178 Saint Petersburg, Russia

Wednesday, from 11:00 am to 4:00 pm

1999 — Ph.D. (C.Sc.) in Mathematics and Physics («Mathematical Physics»)

**Institution:** St. Petersburg State University

**Advisor:** M.S. Birman

- Spectral theory of differential operators
- Periodic differential operators
- Maxwell operator
- Partial differential equations

- N. Filonov. Gaps in the spectrum of the Maxwell operator with periodic coefficients. Communications in Mathematical Physics 240:1–2 (2003), 161–170.
- N. Filonov. On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator. St. Petersburg Mathematical Journal 16:2 (2005), 413–416.
- N. Filonov and A. Pushnitski. Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains. Communications in Mathematical Physics 264:3 (2006), 759–772.
- N. Filonov. Uniqueness of the Leray-Hopf solution for a dyadic model. Transactions of the American Mathematical Society 369:12 (2017), 8663–8684.
- N. Filonov and I. Kachkovskiy. On the structure of band edges of 2-dimensional periodic elliptic operators, Acta Mathematica 221:1 (2018), 59–80.

Former students: I.V. Kachkovskiy (completed his Ph.D. in 2013 at St. Petersburg Department of Steklov Mathematical Institute).