Mikhail Shubin (mathematician)

Mikhail A. Shubin
Born	1944 Russia
Residence	America
Fields	Differential equations
Institutions	MIT Moscow State University Northeastern University
Alma mater	Moscow State University
Doctoral advisor	Mark Vishik
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)

Mikhail A. Shubin is a distinguished professor at Northeastern University, a member of the American_Mathematical_Society and an accomplished mathematician.

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.