Israel Michael Sigal is a University Professor at the University of Toronto and the Norman Stuart Robertson Chair in Applied Mathematics. He works on mathematics arising in quantum physics with side trips to geometric analysis and mathematical biology. Some of his main results include:

• Asymptotic completeness of scattering of many-body quantum systems (jointly with A. Soffer)
• Rigorous foundations of the non-relativistic quantum electrodynamics and theory of radiation (jointly with V. Bach and J. Fr\”ohlich)
• Stability of magnetic vortices and magnetic vortex lattices (jointly with S. Gustafson and with T. Tzaneteas)
• Neckpinching dynamics under mean curvature flow (with Zhou Gang and D. Knopf)
• Solitary wave dynamics (with J. Fröhlich, S. Gustafson and L. Jonsson and with Zhou Gang)

Professor Sigal was a speaker at the International Congress of Mathematicians in Kyoto and at several International Congresses of Mathematical Physics. He has held long-term visiting positions at the Institute of Advanced Study (Princeton), Swiss Institute of Technology (ETH-Zürich) and IHES (Bur-sur-Yvette). Professor Sigal has supervised a large number of students and postdocs, many of whom stayed in academia and now occupy tenured positions at distinguished universities.

Professor Sigal will be visting the department between 1st May and 5th June 2019. The theme of his talks will be The theme of his talks will be “Differential Equations of Quantum Physics” and his lectures are scheduled as follows:

• Lecture 1: Quantum Mechanics in 50 min, Tuesday, May 7, 5:15-6pm
• Lecture 2: Quantum Statistics and Information, Wednesday, May 8, 3:15-5pm
• Lecture 3: Approximations: Density Function Theory, Tuesday, May 14, 5:15-6pm
• Lecture 4: Applications of Density Function Theory, Tuesday, May 28, 4:15-5pm
• Lecture 5: Summary of Effective Equations of Quantum Physics, Wednesday, May 29, 4:15-5pm

Ed Saff is a Professor at Vanderbilt University in the United States and director of the Center for Constructive Approximation, which supports research in the fields of Approximation Theory, Numerical Analysis and their applications. He received his B.S. in applied mathematics from Georgia Institute of Technology and his Ph.D. in Mathematics from the University of Maryland. His research areas include approximation theory, numerical analysis, and potential theory. He has published more than 240 mathematical research articles, co-authored 9 books, and co-edited 11 volumes. Saff is Editor-in-chief of two research journals, Constructive Approximation and Computational Methods and Function Theory. He also serves on the editorial board of Journal of Approximation Theory. He has mentored 16 Ph.D.’s as well as 9 post-docs. Among other recognitions of his research he received a Guggenheim Fellowship in 1978 and became a Fellow of the American Mathematical Society.

The theme of Professor Ed Saff talks will be Discrete Minimal Energy on Rectifiable Sets.

Analysis Days, 24-25 May 2017

The Department organizes a meeting on Mathematical Analysis on the occasion of the visit of Professor Ed Saff, in May 2017. Confirmed speakers (so far):

Georgios Costakis, Univ. of Crete
Nikos Frantzikinakis, Univ. of Crete
Alex Iosevich, Univ. of Rochester
Mihalis Kolountzakis, Univ. of Crete
Romanos Malikiosis, TU Berlin
Themis Mitsis, Univ. of Crete
Mate Matolcsi, Renyi Institute
Michael Papadimitrakis, Univ. of Crete
Ed Saff, Vanderbilt University
Nikos Stylianopoulos, Univ. of Cyprus
Yang Wang, Hong Kong Univ. of Science and Technology

For more information, see the meeting’s website, and/or contact Mihalis Kolountzakis.

• Michel Crouzeix, Université de Rennes 1. Spring semester 1994.
• Don Zagier, Max Planck Institute for Mathematics, Bonn. September-October 1994.
• Jean-Pierre Kahane, Université Paris-Sud. April-May 1995.
• Albert Baernstein II, Washington University. 10 June – 6 July 1996.
• Panagiotis Souganidis, University of Texas at Austin. July-August 1996.
• Vidar Thomée, Chalmers University of Technology. 15 May – 15 July 1997.
• Manoussos G. Grillakis, University of Maryland, College Park. June-July 1997.
• Vitali Milman, University of Tel Aviv. September-October 1997.
• Constantine M. Dafermos, Brown University. 15 June-15 August 1998.
• John Coates, University of Cambridge. August-September 1998.
• David Masser, Universität Basel. August-September 1999.
• Pavel I. Plotnikov, Novosibirsk State University. September-October 1999.
• Sir John Ball FRS, Oxford University. April 2000.
• Leif Bjørnø, Technical University of Denmark, Lyngby. Summer 2001.
• Alexander Pełczyński, University of Warsaw. February 2001.
• Rolf Schneider, Albert-Ludwigs Universität Freiburg. April 2001.
• Alexander Olevskii, Tel Aviv University. September 2002.
• Stavros Garoufalidis, Georgia Institute of Technology. June 2003.
• Peter M. Gruber, Technische Universität, Wien. March and September 2004.
• Haim Brezis, Université Pierre et Marie Curie. July 2004.
• Michel Waldschmidt, Université Pierre et Marie Curie. September 2005.
• Tony Carbery, University of Edinburgh. November 2005.
• Gerard van der Geer, Universiteit van Amsterdam. June-July 2006.
• Michael Lacey, Georgia Instute of Technology. July 2006.
• Imre Z. Ruzsa, Alfréd Rényi Institute of Mathematics, Budapest. September-October 2007.
• Raytcho Lazarov, Texas A&M University. May-June 2008.
• Loukas Grafakos, University of Missouri, Columbia. June-July 2008.
• Jean Dolbeault, Université Paris Dauphine. March-April 2009.
• Alain Lascoux, Université de Marne-la-Vallée. May 2011.
• Roland Pottharst, University of Reading. May and October 2015.