Israel Michael Sigal FRSC (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, 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

• The Jeffrey-Williams Lectureship, CMS Summer Meeting, 1992.^[5]
• John L. Synge Award, 1993.
• Fellow of the Royal Society of Canada, 1993.
• University Professor, 1997.
• Norman Stuart Robertson Chair in Applied Mathematics, 1998.
• CRM-Fields-PIMS prize,^[6] 2000.
• Fellow of the American Mathematical Society, 2012.^[7]

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.
• 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.