David Renfrew  picture


I wan an Ulam Visiting Professor at University of Colorado at Boulder. I will be an Assistant Professor at SUNY Binghamton in the Fall.


I was 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: David.Renfrew *at* colorado *dot* edu
Office: Math 253

Current Teaching:

Spring 2016: Math 4510- Probability Theory

Syllabus




Previous Teaching:

Fall 2015: Math 170A- Probability Theory

Fall 2015: Math 170B- Probability Theory

Spring 2015: Math 133 - Introduction to Fourier Analysis
Winter 2015:
Math 115B - Linear Algebra

Fall 2014: Math 31A - Differential and Integral Calculus
Spring 2014: Math 115A - Linear Algebra
Winter 2014: Math 170B - Probability Theory

Fall 2013: Math 31A - Differential and Integral Calculus

Spring 2013: Math 31B - Integration and Series

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:

Eigenvalues of block structured asymmetric random matrices
available at arXiv:1411.2688 math.PR, submitted
(joint work with Johnatan Aljadeff and Merav Stern
)

Central limit theorem for linear eigenvalue statistics of elliptic random matrices
available at arXiv:1410.4586 math.PR, submitted
(joint work with Sean O'Rourke
)

Products of independent elliptic random matrices
available at arXiv:1403.6080 math.PR, submitted
(joint work with Sean O'Rourke, Alexander Soshnikov, and Van Vu
)

Low rank perturbations of large elliptic random matrices
available at arXiv:1203.5130 math.PR
Electronic Journal of Probability, v. 19, no. 43, 1-65, (2014)
(joint work with
Sean O'Rourke)


On Finite Rank Deformations of Wigner Matrices II: Delocalized Perturbations

available at arXiv:1203.5130 math.PR
Random Matrices: Theory and Applications, v. 2, No. 1 (2013)
(joint work with Alexander Soshnikov)


Fluctuations of Matrix Entries of Regular Functions of Sample Covariance Random Matrices
available at arXiv:1106.0320 math.PR

 Teoriya Veroyatnostei i ee Primeneniya v. 58, Issue 4, 752-780, (2013)

(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
Journal of Theoretical Probability v. 26, No. 3, (2013), 750-780
(joint with Sean O'Rourke and Alexander Soshnikov).


On Finite Rank Deformations of Wigner Matrices
available at arXiv:1103.3731 math.PR
Annales de l'Institut Henri Poincare (B) Probabilites et Statistiques, v. 49, No. 1, 64-94, (2013). 
(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)