David
Renfrew 
I am a
mathematics graduate student at UC
Davis.
My advisor is Alexander
Soshnikov. My research interests include probability, random matrix
theory and mathematical physics. Here is my CV.
Contact Information:
Email: drenfrew *at* math *dot* ucdavis *dot* edu
Office: MSB 2129
Current Teaching:
None
Previous
Teaching:
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" (Bedlewo, Poland, 2010), Banach
Center Publications (M.Bozejko,
A.Krystek, L.Wojakowski eds.)
(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)