Dmitri Sergeyevich Tschelkak
Dmitri Sergejewitsch Tschelkak ( Russian Дмитрий Сергеевич Челкак , English transcription Dmitry Chelkak; born January 1979 in Leningrad ) is a Russian mathematician.
Tschelkak studied from 1995 at the State University of Saint Petersburg with a diploma in 2000 and received his doctorate in 2003 at the Steklow Institute in Saint Petersburg. In 2000 he was on an Euler grant in Heidelberg and later in Potsdam. He conducts research at the Steklow Institute in Saint Petersburg as a senior researcher and was also a lecturer at the State University of Saint Petersburg from 2004 to 2010 and at the Chebyshev Laboratory there from 2010 to 2014. In 2014/15 he was at the ETH Zurich and in 2015/16 he was visiting professor in Geneva.
He deals with conformal invariance of two-dimensional lattice models at the critical point, especially the Ising model of statistical mechanics, in which he and Fields medalist Stanislaw Smirnow demonstrated universality and conformal invariance at the critical point. He also deals with spectral theory, especially inverse spectral problems of one-dimensional differential operators.
In 1995 he received the gold medal at the International Mathematical Olympiad. In 2004 he received the Prize for Young Mathematicians of the Saint Petersburg Mathematical Society and in 2008 he received the Pierre Deligne Prize in Moscow. In 2014 he received the Salem Prize .
Fonts
- with Stanislaw Smirnow: Universality in the 2D Ising model and conformal invariance of fermionic observables, Inventiones Mathematicae, Volume 189, 2012, pp. 515-580, Arxiv
- with Stanislaw Smirnow: Discrete complex analysis on isoradial graphs, Advances in Math., Volume 228, 2011, pp. 1590-1630
- with E. Korotyaev: Weyl – Titchmarsh functions of vector-valued Sturm – Liouville operators on the unit interval, J. Funct. Anal., Vol. 257, 2009, pp. 1546-1588
- with E. Korotyaev: Spectral estimates for Schrödinger operator with periodic matrix potential on the real line, Int. Math. Res. Not., 2006
- with P. Kargaev, E. Korotyaev: Inverse problem for harmonic oscillator perturbed by potential, characterization, Comm. Math. Phys., Volume 249, 2004, pp. 133-196
- with David Cimasoni, Adrien Kassel: Revisiting the combinatorics of the two dimensional Ising model, Arxiv , 2015
Web links
| personal data | |
|---|---|
| SURNAME | Tschelkak, Dmitri Sergeyevich |
| ALTERNATIVE NAMES | Челкак, Дмитрий Сергеевич (Russian) |
| BRIEF DESCRIPTION | Russian mathematician |
| DATE OF BIRTH | January 1979 |
| PLACE OF BIRTH | Leningrad |