Residence America Fields Differential equation | Role Mathematician Name Mikhail Shubin | |
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Institutions MIT Moscow State UniversityNortheastern University Doctoral students Vladimir BezyaevTatiana BogorodskayaIrina BondarevaStanislav DubrovskiyMagomed EfendievAlexander EfremovDmitry EfremovAnatoly GusevVladimir KiselyovYurii KordyukovLeonid MalozemovGoderdzi MeladzeOgnjen MilatovicIgor OleinikJoe PerezSergey SmaginAndrei Volovoi Known for Novikov–Shubin invariantmember of American_Mathematical_Society Books Partial differential equations VII | ||
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.