Residence America Fields Differential equation | Role Mathematician Name Mikhail Shubin Doctoral advisor Mark Vishik | |
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Institutions MIT Moscow State University
Northeastern University Alma mater Moscow State University Doctoral students Vladimir Bezyaev
Tatiana Bogorodskaya
Irina Bondareva
Stanislav Dubrovskiy
Magomed Efendiev
Alexander Efremov
Dmitry Efremov
Anatoly Gusev
Vladimir Kiselyov
Yurii Kordyukov
Leonid Malozemov
Goderdzi Meladze
Ognjen Milatovic
Igor Oleinik
Joe Perez
Sergey Smagin
Andrei Volovoi Known for Novikov–Shubin invariant
member of American_Mathematical_Society Notable awards Matthews Distinguished University Professor, Northeastern University (from 2001) Books Partial differential equations VII | ||
Education Moscow State University | ||
Mikhail A. Shubin is a distinguished professor at Northeastern University, a member of the American_Mathematical_Society and an accomplished mathematician.
Work
Professor Shubin has written over 140 papers and books, supervised almost twenty doctoral theses and served on multiple committees.
He has published results in convolution equations, factorization of matrix functions and Wiener–Hopf equations, holomorphic families of subspaces of Banach spaces, pseudo-differential operators, quantization and symbols, method of approximate spectral projection, essential self-adjointness and coincidence of minimal and maximal extensions, operators with almost periodic coefficients, random elliptic operators, transversally elliptic operators, pseudo-differential operators on Lie groups, pseudo-difference operators and their Green function, complete asymptotic expansion of spectral invariants, non-standard analysis and singular perturbations of ordinary differential equations, elliptic operators on manifolds of bounded geometry, non-linear equations, Lefschetz-type formulas, von Neumann algebras and topology of non-simply connected manifolds, idempotent analysis, The Riemann–Roch theorem for general elliptic operators, spectra of magnetic Schrödinger operators and geometric theory of lattice vibrations and specific heat.
In 2012 he became a fellow of the American Mathematical Society.