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Mihai Stoiciu
Associate Professor of Mathematics, Williams College
Education
- B.S. Mathematics, University of Bucharest.
- Ph.D. Mathematics, California Institute of Technology.
Publications
- An estimate for the number of bound states of the Schrödinger operator in two dimensions, Proc. Amer. Math. Soc. 132 (2004), 1143-1151. The pdf, dvi and ps files are posted here.
- Zeros of Random Orthogonal Polynomials on the Unit Circle, Ph.D. Thesis at Caltech, June 2005. The pdf file is posted here.
- The statistical distribution of the zeros of random paraorthogonal polynomials on the unit circle, J. Approx. Theory 39 (2006), 29-64. [pdf] [ps]
- The Eigenvalue Distribution of Random Schrödinger Operators and CMV Matrices, Mathematisches Forschunginstitut Oberwolfach Report, 9/2006, 20-22. The pdf file is posted here.
- Poisson Statistics for Eigenvalues: From Random Schrödinger Operators to Random CMV Matrices, CRM Proceedings and Lecture Notes, volume 42, 2007, 465-475. The pdf file is posted here.
- (with J.B. Friedlander and F. Luca) On the Irrationality of a Divisor Function Series, Integers 7 (2007), A31, 9 pp. (electronic). The pdf file is posted here.
- (with R. Killip) Eigenvalue
Statistics for CMV Matrices: From Poisson to Clock via Random Matrix
Ensembles, Duke
Mathematical Journal 146 (2009), no.3, 361-399. The pdf file is posted here.
- (with N. Peyerimhoff) Eigenvalue Distribution
of Unitary Operators Associated to Hyperbolic Reflection Groups,
preprint. The pdf file is posted here.
Current Teaching
- Fall 2011: Math 315 - Groups and Characters, Math 322 - Differential
Geometry
Recent Teaching
- Spring 2011: Math 312 - Abstract Algebra, Math/CSci 318T -
Numerical Problem Solving (Course website on
Glow)
- Fall 2010: Math 211 - Linear Algebra (Course
website on Glow)
- Spring 2010: Math 401 - Functional
Analysis with Applications to Mathematical Physics (Course website on Blackboard)
- Winter Study 2010: Math 15 - Mathematics of the Rubik’s Cube (Course website on Blackboard)
- Fall 2009: Math 104 - Calculus II
(Course website on Blackboard)
- Spring 2008: Math 341 - Probability (Course
website on Blackboard)
- Fall 2007: Math 105 - Multivariable Calculus (Course
website on Blackboard)
- Spring 2007: Math 302 - Complex Analysis, Math 305 - Applied Real
Analysis (Course
website on Blackboard)
- Winter Study 2007: Math 15 - Gödel, Escher, Bach (Course website on Blackboard)
- Fall 2007: Math 104 - Calculus II, Math/CSci 318T -
Numerical Problem Solving (Course website on
Blackboard)
- Spring 2006: Math 211 - Linear Algebra (Course website on
Blackboard)
- Fall 2005: Math 104 - Calculus II, Math 401 - Functional Analysis with Applications to Mathematical Physics (Course website on Blackboard)
Undergraduate Research Supervised
Williams
College “SMALL” REU, June-August 2007, Mathematical Physics Group: James
Arnemann, Scott Smedinghoff, Miles Wheeler, Sunmi Yang. Project: “Clock
Theorems for Eigenvalues of Finite CMV Matrices”. The pdf file is posted here.
Williams College
“SMALL” REU, June-August 2010, Mathematical Physics Group: Matthew Coudron,
Amalia Culiuc, Philip Vu, Stephen Webster. Project: “Spectral Analysis of
Non-Hermitian Matrices”. The pdf file is posted here.
Honors (thesis)
students:
- Brian Simanek ’07 – “Spectral Properties
of Random Unitary Band Matrices”. pdf
file
- Sunmi Yang ’08 – “A Numerical Analysis of the Spectrum of the
Almost Mathieu Operator”. pdf file, nb file
- Irina Zhecheva ’08 – “Ergodic Properties of Random Schrödinger Operators”. pdf file
- Zhaoning Nancy Wang ’11 – “Sturm-Liouville Oscillation Theory for Differential Equations and Applications to Functional Analysis”. pdf file
Contact
Information
E-mail: mstoiciu@williams.edu
Office: 215B Bronfman Science Center
Phone: (413) 597-2428
Fax: (413) 597-4061
Mailing address: Williams College, Department of Mathematics and Statistics,
Williamstown, MA 01267, USA