The Home Page of Gábor Francsics
Gábor Francsics
 Associate Professor
 Department of Mathematics
 Michigan State University
 Office: D310 Wells Hall
 Email: francsics@math.msu.edu
 Phone: (517) 3537962
 Fax: (517) 4325555


Research Interests
Partial differential equations, several complex variables, complex hyperbolic spaces,
microlocal analysis, scattering theory. I am also interested in financial mathematics..
In the Fall of 2008 I was on sabbatical leave at the Mathematical Sciences Research Institute in Berkeley.
I was a research member of the Analysis on Singular Spaces Program.
Teaching
 Spring 2013:
 Fall 2012:
 Spring 2012:
 Fall 2011:
 Spring 2011:
 Fall 2010:
 Spring 2010:
 Fall 2009:
Publications
My research area is partial differential equations, several complex variables, complex hyperbolic spaces,
microlocal analysis, scattering theory. I am also interested in financial mathematics. This is a link to the
webpage of the
MSU PDE seminar.
Some of my recent papers:

"Analytic regularity for the Bergman kernel" (joint work with N. Hanges),
Journees Equations aux derivees partielles, SaintJeandeMonts, 1998,
Expose V.
 Treves curves and the Szego Kernel (joint work with N. Hanges),
Indiana Univ. Math. Journal, 47(1998) 9951009.

"The Bergman kernel for convex tubes" (joint work with N. Hanges),
Schrödinger
Institute Preprint, ESI 808 (1999) 139, December 1999.

"Analytic singularities of the Bergman kernel for tubes" (joint
work with N. Hanges), Duke Mathematical Journal, 108(2001) 539580.

"A fundamental domain for the Picard modular group" (joint work
with P. Lax), Schrödinger Institute Preprint, ESI 1273 (2003) 119,
January 2003.

"A semiexplicit fundamental
domain for the Picard modular group in complex hyperbolic space"
(joint work with P. Lax), Contemporary Mathematics, 368 (2005)
211226.

"An explicit fundamental domain for the Picard modular group in
two complex dimensions" (joint work with P. Lax), Preprint 2005,
(pdf version here ).

"Spectral analysis on complex hyperbolic spaces" (joint work with P. Lax),
Proceedings of Hayama Symposium on Complex analysis in Several Variables, 2005.

"Analysis of a Picard modular group" (joint work with P. Lax),
Proceedings of National Academy of Sciences, 103(2006), 1110311105.

"Generators of a Picard modular group in two complex dimensions" (joint work with E. Falbel, P. Lax and John R. Parker), Preprint 2009, to appear in Proceedings of the American Mathematical Society.

"Geometry of the GaussPicard modular group" (joint work with E. Falbel, and John R. Parker), Mathematische Annalen, 349(2011), Number 2, 459508.
Interesting Conferences
A Conference Celebrating the Mathematics and 75th Birthday
of Francois Treves
April 810, 2005, Rutgers University, New Jersey.
Phase Space Analysis and related topics
September 1518, 2004, Grado, Italy.
Workshop on Geometric Analysis of PDE and Several Complex Variables
Serra Negra, S. Paulo, Brazil
August 0409, 2004
Program in Complex Analysis
November 2000, Schrödinger Institute for Mathematical Physics, Vienna.
Conference on
Microlocal Analysis and Partial Differential Equation
April 69, 2000 University of Notre Dame, Notre Dame
Here is the postscript version of the abstract of my talk
"Waves on
complex hyperbolic spaces".
Contact:francsics@math.msu.edu
Last Revised 01/07/2011