## Mihai Stoiciu

- 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] - 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 K. Gittins, N. Peyerimhof, and D. Wirosoetisno) Some Spectral Applications of McMullen’s Hausdorff Dimension Algorithm,
*Conform. Geom. Dyn.***16**(2012), 184-203. The pdf file is posted here. - Spectral properties of Random and Deterministic Matrices,
*Math. Model. Nat. Phenom.*, Vol. 9, No.**5**(2014), 270-281. The pdf file is posted here: MMNP_Paper. - (with F. Gong, O. Meyerson, J. Meza, and A. Ward) Explicit Bounds for the Pseudospectra of Various Classes of Matrices and Operators,
*Involve*, Vol. 9, No.**3**(2016), 517-540. The pdf file is posted here: PseudospectraGMMSW.

**Current Teaching**

**Recent Teaching**

- Spring 2020: Math 341 – Probability
- Fall 2019: Math 102T – Foundations in Quantitative Skills, Math 404 – Random Matrix Theory
- Spring 2017: Math 402 – Measure Theory and Probability
- Fall 2016: Math 102T – Foundations in Quantitative Skills, Math 318T – Numerical Problem Solving
- Spring 2016: Math 150 – Multivariable Calculus
- Winter Study 2016: Math 100 – Mathematics Immersion
- Fall 2015: Math 102T – Foundations in Quantitative Skills, Math 401 – Functional Analysis

**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.

**Williams College “SMALL” REU, June-August 2014, Mathematical Physics Group:** Feixue Gong, Olivia Meyerson, Jeremy Meza, Abigail Ward. Project: “Explicit Bounds for the Pseudospectra of Various Classes of Matrices and Operators”. The pdf file is posted here: SMALL_2014_Paper

**Williams College “SMALL” REU, June-August 2018, Mathematical Physics Group: **Michael Curran, Eli Cytrynbaum, Benjamin Foster, Miriam Gordin. Project: “Questions in Random Matrix Theory”. The pdf file is posted here: Random_Matrix_Theory

**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
- 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
- Gregory White ’12 – “Stochastic Calculus and Applications to Mathematical Finance”. pdf file
- Liyang Zhang ’12 – “Spectral Theory for Matrix Orthogonal Polynomials on the Unit Circle”. pdf file
- Nicholas Gardner ’15 – “History Dependent Stochastic Processes and Applications to Finance”. Neeko_Gardner_Thesis
- Andy Yao ’17 – “Spectral Analysis of New Classes of Deterministic and Random Orthogonal Polynomials on the Unit Circle”. Andy_Yao_Thesis
- Alexander Bank ’20 – “Asymptotic Expansions for Bounds of Epsilon-Pseudospectra of Nonnormal Matrices”. Alex_Bank_Thesis
- Eli Cytrynbaum ’20 – “Point Process Convergence and the Circular Beta Ensemble”. Eli_Cytrynbaum_Thesis

Contact Information

E-mail: [email protected]

Office: 206 Bascom House

Phone: (413) 597-2428

Fax: (413) 597-4061

Mailing address: Williams College, Department of Mathematics and Statistics, Williamstown, MA 01267, USA