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Professor Carol Shubin

Contact Information

Courses

Funded Projects

NSF LSAMP Bridges to the Doctorate (Co-PI) with K. Marsaglia (PI), C. Cadavid, K. Pellitier, 8/2009- 7/2011

Beck Grant with G. Melara: Voice Recognition Project, 7/2009-6/2010

African Mathematics Millennium Science Initiative Visiting Scholar award to Kigali Institute of Science and Technology, 12/2008 - 1/2009.

Fulbright Scholarship at the Kigali Institute of Science and Technology, 1/2007 - 6/2007.

NSF SGER: Completion of recent works of Thomas H. Wolff, funded 7/2001-6/2002.

NASA CSUN/JPL PAIR: Analyzing data sets, funded 2/2000-6/2005.

CSUPERB: Development of DNA Analysis course, funded 9/2000-6/2001.

NSF POWRE: Improving mathematics education for pre-service teachers, funded 8/1999-1/2001.

NSF DMS RUI: Spectral properties of random Schrodinger operators, funded 6/1996-9/2000.

NSF DMS: Spectral properties of random Schrodinger operators, funded 6/1994-6/1996.

NATO Collaborative Research Grant, CRG 951351 (with colleagues in Toulon, France), 6/1996-9/1998.

NSF: DMS 9210806, 6/1992-6/1994.

US-Sweden workshop in Spectral Methods of Mathematical Physics, Mittag-Leffler Institute, Sweden, 5/1993.

Miscelaneous

Tom Wolff's Site

Herbert Shubin's Site

Picture of Prof.

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
  1. An inverse problem for the Schrodinger equation with radial potential, Journal of Differential Equations, vol. 103 #2, (1993), 47-259.
  2. (with R. Carlson) Spectral rigidity for radial Schrodinger operators, Journal of Differential Equations, vol. 113 #2, (1994), 338-354.
  3. (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.
  4. Singular perturbations of integral equations with degenerate kernels, Journal of Integral Equations and Operator Theory, vol. 24, (1996), 328-351.
  5. (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.
  6. (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.
  7. (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.
  8. (with W. Horn) Analytic treatment of a bridged crack problem, Zamm 81 (2001) 5, 317-324.
  9. (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.
  10. (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.
  11. 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

  1. Global Positioning Systems and Earthquake Fault Determination PAIR Site.
  2. Satellite Navigation and Orbit Determination Moodle Site and PAIR Site.
  3. Analysis of Solar Irradiance Data PAIR Site.
  4. Voice Recognition Moodle Site and PAIR Site.
  5. Diffustion Tensor Imaging PAIR Site.
  6. Statistical Determination of Unknown Molecular Weights Moodle Site and PAIR Site.