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