Israel Michael Sigal Explained
Israel Michael Sigal (born 31 August 1945 in Kiev, Ukrainian SSR) is a Canadian mathematician specializing in mathematical physics.[1] He is a professor at the University of Toronto Department of Mathematics.
He was an invited speaker at International Congress of Mathematicians, Kyoto—1990[2] and in International Congress on Mathematical Physics, Lausanne—1979, W. Berlin—1981, Marseille—1986.
Education
Born in Kiev, Ukrainian SSR,[1] Sigal obtained his bachelor's degree at Gorky University and his Ph.D. at Tel-Aviv University[3]
Research interests
Partial differential equation of quantum physics, Quantum mechanics and quantum information theory, Quantum field theory, Statistical mechanics, Non-linear equations, Mathematical biology, Pattern recognition[4]
Awards
Selected works
- Book: Mathematical foundations of quantum scattering theory for multiparticle systems. Mem. Amer. Math. Soc.. 1978. 508478.
- Mathematical theory of single channel systems. Analyticity of scattering matrix. Trans. Amer. Math. Soc.. 1982. 270. 2. 409–437. 645323. 10.1090/s0002-9947-1982-0645323-x. Sigal. I. M.. free.
- Book: Scattering theory for many body quantum-mechanical systems: rigorous results. Lecture Notes in Mathematics 1011. Springer Verlag. 1983.
- Mathematical theory of nonrelativistic matter and radiation. Lett. Math. Phys.. 34. 3. 1995. 183–201. 10.1007/bf01872776. Bach. V.. Fröhlich. J.. Jürg Fröhlich. Sigal. I. M.. 1995LMaPh..34..183B. 10.1.1.52.2248. 17664339.
- with Peter D. Hislop: Book: Introduction to spectral theory: with applications to Schrödinger operators. Springer Verlag. 1996.
- with F. Ting: Pinning of magnetic vortices by an external potential. St. Petersburg Math. J.. 2005. 16. 1. 211–236. 2069485. 10.1090/s1061-0022-04-00848-9. Sigal. I. M.. Ting. F.. free.
- with Stephen J. Gustafson: Book: Mathematical concepts of quantum mechanics. Springer Verlag. 2nd. 2011.
Notes and References
- Book: Canadian Who's Who 2001: Volume 36. 2001. University of Toronto Press. Elizabeth Lumley.
- Web site: ICM Plenary and Invited Speakers since 1897 . 2011-12-06 . 2017-11-24 . https://web.archive.org/web/20171124141541/http://www.mathunion.org/db/ICM/Speakers/SortedByLastname.php . dead .
- http://www.crm.umontreal.ca/prix/prixCRMFieldsPIMS/prix_CFPSigal_an.shtml Bio
- http://www.math.toronto.edu/sigal/ Home page of I.M.Sigal
- http://www.math.ca/Prizes/info/jw.html The Jeffrey-Williams Lectureship
- http://www.fields.utoronto.ca/honours/crm-fields-pims_prize.html CRM/Fields Institute Prize
- https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society