Education
PhD, Mathematics, University of California Los Angeles, 1989.
Research Area: Differential Equations and Mathematical Physics.
Advisor: Gregory Eskin.
Positions Held
California State University Northridge, Professor of Mathematics.
African Mathematics Millennium Science Initiative Scholar, at Kigali Institute of Science and Mathematics, 12/2008-1/2009.
Fulbright Scholar at the Kigali Institute of Science and Technology, 1/2007-6/2007.
Princeton University, Visiting Fellow, 1/1996-6/1996.
Centre de Physique Theoretique, Marseille, France, Visiting Professor, 7/1991 -12/1991, one month in summers 1992, 1993, 2003.
UCLA, Adjunct Professor, 1990-91.
Universite de Paris Sud, France, Chateaubriand Fellow, 1989-90.
Publications
- An inverse problem for the Schrodinger equation with radial potential, Journal of Differential Equations, vol. 103 #2, (1993), 47-259.
- (with R. Carlson) Spectral rigidity for radial Schrodinger operators, Journal of Differential Equations, vol. 113 #2, (1994), 338-354.
- (with G. Stolz) Spectral theory of one-dimensional Schrodinger operators with point interactions, Journal of Mathematical Analysis and Applications, vol. 184 #3, (1994), 491-516.
- Singular perturbations of integral equations with degenerate kernels, Journal of Integral Equations and Operator Theory, vol. 24, (1996), 328-351.
- (with R. Carlson and R. Threadgill*) Sturm-Liouville eigenvalue problems with finitely many singularities, Journal of Mathematical Analysis and Applications, vol. 204, (1996), 74-101.
- (with W. N. Everitt, G. Stolz, and A. Zettl) Sturm-Liouville problems with an infinite number of interior singularities, Lecture notes in pure and applied mathematics vol. 191, (1997), 211- 250.
- (with R. Vakilian and T. Wolff) Some harmonic analysis questions suggested by Anderson-Bernoulli models, Journal of Geometric and Functional Analysis, vol. 8, (1998), 932 - 964.
- (with W. Horn) Analytic treatment of a bridged crack problem, Zamm 81 (2001) 5, 317-324.
- (with W.Schlag and T. Wolff) Frequency concentration and localization lengths for the Anderson model at small disorders, Journal D’Analyse Mathematique vol.88, (2002), 173-220.
- (with T. Wolff) Contraction estimates on groups, Proceedings of the Conference in Honor of Leonid Pastur, Markov Processes and Related Fields, vol 9 #4, (2003), 829-840.
- Singularly perturbed integral equations, Journal of Mathematical Analysis and Applications, 313 (2006) 234-250.
* Threadgill was an undergraduate co-author.
Books
(T. Wolff) Lectures on Harmonic Analysis, American Mathematical Society, University Lecture Series, Vol 29 (Editors: I. Laba and C. Shubin), 2003.
Other Editorial Work
(T. Wolff) A general contraction property of PSL(2,R), Journal D'Analyse Mathematique vol.88, (2002), 27-34.
(T.Wolff) A general spectral gap property for measures, Journal D'Analyse Mathematique vol.88, (2002), 7-26.
All work was NSF supported.
Moodle versus WebCT 8 and Blackboard 9 by Jacek Polewczak and Carol Shubin (PDF version)
HONORS
NASA named the CSUN/JPL PAIR program as "Exemplary" in its Minority Education Initiatives Report to the White House, 2000-01.
Received CSUN Outstanding Professor award, 2006.
Recent Talks
Fulbright Pre-departure Resource Person (6/2008), Fulbright Meeting at CSUN (4/2008), Sacramento State (11/2007), CSUN Colloquium (10/2007), KIST Colloquium (5/2007), CSUN Colloquium (5/2005), Princeton (4/2003), AMS/MAA Joint National Meeting, Baltimore (1/2003), University of California Los Angeles (12/2002), California Science Center - NASA Meeting (6/2002), International Meeting of Random Schrodinger Equations, CIRM, France (5/2002), American Mathematical Society (AMS) Special Session (12/2001), University of California, Irvine (11/2001)
PAIR Program Created & Taught Courses
- Global Positioning Systems and Earthquake Fault Determination PAIR Site.
- Satellite Navigation and Orbit Determination Moodle Site and PAIR Site.
- Analysis of Solar Irradiance Data PAIR Site.
- Voice Recognition Moodle Site and PAIR Site.
- Diffustion Tensor Imaging PAIR Site.
- Statistical Determination of Unknown Molecular Weights Moodle Site and PAIR Site.
