Education
Born in Kiev, Ukrainian Soviet Socialist Republic, Sigal obtained his bachelor¹s degree at Gorky University and his Doctor of Philosophy at Tel-Aviv University.
Born in Kiev, Ukrainian Soviet Socialist Republic, Sigal obtained his bachelor¹s degree at Gorky University and his Doctor of Philosophy at Tel-Aviv University.
He is a professor at the University of Toronto Department of Mathematics. He was an invited speaker at International Congress of Mathematicians, Kyoto—1990 and in International Congress on Mathematical Physics, Lausanne—1979, West. Berlin—1981, Marselle—1986. Partial differential equation of quantum physics, Quantum mechanics and quantum information theory, Quantum field theory, Statistical mechanics, Non-linear equations, Mathematical biology, Pattern recognition.
Mathematical foundations of quantum scattering theory for multiparticle systems. Mem. Amer. Math. Soc. 1978. MR 508478. "Mathematical theory of single channel systems.
Analyticity of scattering matrix". Trans. Amer. Math. Soc. 270 (2): 409�437. 1982. doi:10.1090/s0002-9947-1982-0645323-x.
MR 645323. Scattering theory for many body quantum-mechanical systems: rigorous results. Lecture Notes in Mathematics 1011. Springer Verlag. 1983.
With Volker Bach, J�rg Fr�hlich: "Mathematical theory of nonrelativistic matter and radiation". Lett. Math. Phys. 34: 183�201. 1995. doi:10.1007/bf01872776.
With Peter D. Hislop: Introduction to spectral theory: with applications to Schr�dinger operators. Springer Verlag. 1996. With F. Ting: "Pinning of magnetic vortices by an external potential".
St. Petersburg Math. J. 16 (1): 211�236. 2005. doi:10.1090/s1061-0022-04-00848-9. MR 2069485. with Stephen J. Gustafson: Mathematical concepts of quantum mechanics (2nd ed).
Springer Verlag. 2011.
American Mathematical Society. Royal Society of Canada.