Israel Michael Sigal

Israel Michael Sigal FRSC is a Canadian mathematician specializing in mathematical physics.[1] He is a professor at the University of Toronto Department of Mathematics.

Israel Michael Sigal
Born
Kiev, Ukrainian SSR
CitizenshipCanadian
Alma materN. I. Lobachevsky State University of Nizhny Novgorod, Tel-Aviv University
AwardsFellow of the Royal Society of Canada (1998)
Fellow of American Mathematical Society (2012)
Scientific career
FieldsMathematics
InstitutionsUniversity of Toronto
Doctoral studentsIzabella Łaba
Michael Loss

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, Marselle—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
  • Mathematical foundations of quantum scattering theory for multiparticle systems. Mem. Amer. Math. Soc. 1978. MR 0508478.
  • Sigal, I. M. (1982). "Mathematical theory of single channel systems. Analyticity of scattering matrix". Trans. Amer. Math. Soc. 270 (2): 409–437. doi:10.1090/s0002-9947-1982-0645323-x. MR 0645323.
  • Scattering theory for many body quantum-mechanical systems: rigorous results. Lecture Notes in Mathematics 1011. Springer Verlag. 1983.
  • with Volker Bach, Jürg Fröhlich: Bach, V.; Fröhlich, J.; Sigal, I. M. (1995). "Mathematical theory of nonrelativistic matter and radiation". Lett. Math. Phys. 34 (3): 183–201. Bibcode:1995LMaPh..34..183B. CiteSeerX 10.1.1.52.2248. doi:10.1007/bf01872776. S2CID 17664339.
  • with Peter D. Hislop: Introduction to spectral theory: with applications to Schrödinger operators. Springer Verlag. 1996.
  • with F. Ting: Sigal, I. M.; Ting, F. (2005). "Pinning of magnetic vortices by an external potential". St. Petersburg Math. J. 16 (1): 211–236. doi:10.1090/s1061-0022-04-00848-9. MR 2069485.
  • with Stephen J. Gustafson: Mathematical concepts of quantum mechanics (2nd ed.). Springer Verlag. 2011.

References
  1. Elizabeth Lumley (2001). Canadian Who's Who 2001: Volume 36. University of Toronto Press.
  2. ICM Plenary and Invited Speakers since 1897
  3. Bio
  4. Home page of I.M.Sigal
  5. The Jeffrey-Williams Lectureship
  6. CRM/Fields Institute Prize
  7. List of Fellows of the American Mathematical Society, retrieved 2013-07-20.


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