David
Renfrew 
I am an RTG-assistant adjunct professor at UCLA and a recent graduate of UC Davis. My advisor was Alexander Soshnikov.
My research interests include probability, random matrix theory and
mathematical physics. Here is my CV.
Contact Information:
Email: dtrenfrew *at* math *dot* ucla
*dot* edu
Office:
Current Teaching:
Previous Teaching:
Winter 2013: Math 32B - Multivariable Calculus
Fall 2012: Math 115A - Linear Algebra
Summer 2010: Math 21- Vector Calculus
Instructor (Fall 2009) and Director (Fall 2010): Math Modeling Experience
Previous TAing:
Winter 2009: Math 201B- Graduate Analysis
Research Papers:
On
Finite Rank Deformations of Wigner Matrices II: Delocalized Perturbations
available at arXiv:1203.5130 math.PR, submitted
(joint work with Alexander Soshnikov)
Fluctuations
of Matrix Entries of Regular Functions of Sample Covariance Random Matrices
available at arXiv:1106.0320 math.PR,
submitted
(joint with Sean O'Rourke and Alexander Soshnikov).
On
Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices with
Non-Identically Distributed Entries
available at arXiv:1104.1663 math.PR
to appear in Journal of Theoretical Probability
(joint with Sean O'Rourke and Alexander Soshnikov).
On
Finite Rank Deformations of Wigner Matrices
available at arXiv:1103.3731 math.PR
to appear in the Annales de l'Institut
Henri Poincare (B) Probabilites et Statistiques
(joint with Alessandro Pizzo and Alexander Soshnikov).
Fluctuations
of Matrix Entries of Regular Functions of Wigner Matrices
Journal of Statistical Physics, v. 146, No. 3, 550-591, (2012)
(joint with Alessandro Pizzo and Alexander Soshnikov).
Spectral
Properties of Large Random Matrices with Independent Entries
to appear in the peer-reviewed Proceedings of the XIIIth
Workshop "Noncommutative Harmonic
Analysis" (
(joint with
Pierre Dueck, Sean O'Rourke and Alexander Soshnikov).
Numerical ranges
of cube roots of the identity
Linear Algebra Applications, 435, (2011), pp. 2639-2657
(joint work with Thomas Ryan Harris, Michael Mazzella,
Linda J. Patton, Ilya M. Spitovsky)