Irina Nenciu

Contact Information: Warren Weaver Hall, Office 1027
E-mail: nenciu@cims.nyu.edu
Phone: (212) 998-3260
Fax: (212) 995-4121
Mailing address: Courant Institute, 251 Mercer St., New York, NY 10012

Welcome! I am a Courant Instructor in the Department of Mathematics at the Courant Institute.

I work in integrable systems, random matrices and orthogonal polynomials. Here are my CV and my thesis.

Publications (you can also find them on the Los Alamos archive):

Multi-Hamiltonian structures for the defocusing Ablowitz-Ladik equation (with Michael Gekhtman), preprint, to appear in Comm. Pure Appl. Math.
Poisson brackets for orthogonal polynomials on the unit circle, preprint, submitted for publication.
A note on circular trace formulae, preprint, to appear in Proc. Amer. Math. Soc.
CMV matrices in random matrix theory and integrable systems: a survey, preprint, J. Phys. A: Math. Gen. 39 (2006), 8811--8822.
CMV: the unitary analogue of Jacobi matrices (with Rowan Killip), preprint, Comm. Pure Appl. Math. 60 (2007), 1148--1188.
Lax pairs for the Ablowitz-Ladik system via orthogonal polynomials on the unit circle, preprint, Int. Math. Res. Not. 11 (2005), 647--686.
Matrix models for circular ensembles (with Rowan Killip), preprint, Int. Math. Res. Not. 50 (2004), 2665--2701.

Seminars: I am a co-organizer of the CIMS Random matrices and integrable systems working seminar.

Current and future teaching:

Fall 2007 Calculus I
Spring 2008 Complex variables

A few interesting conferences:

Columbia-Princeton Probability day , March 30, 2007, Princeton University, Computer Science Building auditorium.
97th Statistical Mechanics Conference, May 6--8, 2007, Rutgers University, Hill Center, Room 114.
Conference on ``Random Matrices'', June 3--5, 2007, Cornell University, Ithaca, NY.
Joint Summer Research Conference on Interactions of Random Matrix Theory, Integrable Systems, and Stochastic Processes, June 24--28, 2007, Snowbirdy, Utah.
PCMI 2007 -- Statistical Mechanics, July 1--21, 2007, Park City, Utah.
10th Quantum Mathematics International Conference (QMath10), September 10--15, 2007, Moeciu, Romania.
Modern Approaches in Asymptotics of Polynomials, November 11-16, 2007, Banff International Research Station for Mathematical Innovation and Discovery (BIRS), Canada.

Some older slides:

Summer School, "Hamiltonian Mechanics and Integrable Systems", September 2004:
- V. I. Arnol'd, "Instability of dynamical systems with several degrees of freedom"
- H. P. McKean, "Compatible brackets in Hamiltonian mechanics"

Links: