Mihai Stoiciu
Assistant Professor, Department of Mathematics and Statistics, 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. Mathematica files here.
Future Teaching
- Fall 2010:
Math 211 - Linear Algebra
Recent Teaching
- 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 2009-10: Math 104 - Calculus
II (Course website on Blackboard)
- Spring 2007-08:
Math 341 - Probability (Course website on Blackboard)
- Fall 2007-08: Math 105 -
Multivariable Calculus
(Course website on Blackboard)
- Spring 2006-07:
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 2006-07: Math 104 - Calculus
II, Math/CSci 318T - Numerical Problem
Solving (Course
website on Blackboard)
- Spring 2005-06:
Math 211 - Linear Algebra (Course website on Blackboard)
- Fall 2005-06: 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.
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
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
Math Department Home Page