# Mathematical Sciences Faculty

Asuman G. Aksoy, Ph.D.
Crown Professor of Mathematics and George R. Roberts Fellow
B.Sc., University of Ankara (Turkey); M.S., The Middle East Technical University; Ph.D., University of Michigan

**Teaching:**Analysis (I and II), Complex Analysis, Measure Theory, Linear Algebra, Differential Equations, Engineering Mathematics**Research:**Banach Space Theory, Measures of Non-compactness, s-numbers, Fixed Point Theory, Interpolation spaces, Orlicz and Modular spaces, Operator Theory, Hyperconvex spaces aaksoy@cmc.edu (909) 607-2769
Lenny Fukshansky, Ph.D.
Professor of Mathematics
B.S., University of California, Los Angeles; Ph.D., University of Texas at Austin

**Teaching:**Abstract Algebra, Number Theory, Discrete Geometry, Linear Algebra**Research:**Number Theory, Discrete and Convex Geometry, Arithmetic Geometry lenny@cmc.edu (909) 607-0014
Mark Huber, Ph.D.
Fletcher Jones Professor of Mathematics and Statistics and George R. Roberts Fellow
B.S., Harvey Mudd College; Ph.D., Cornell University.

**Teaching:**Statistics,Numerical Methods,Probability**Research:**Primary emphasis is on the design and analysis of new perfect sampling methods that draw variates exactly from high-dimensional target distributions.,Monte Carlo simulation and stochastic computation for statistical applications, approximation algorithms, and numerical integration. mhuber@cmc.edu (909) 607-0938
Chiu-Yen Kao, Ph.D.
Professor of Mathematics
University of California, Los Angeles, 2004 Ph.D.

**Teaching:**Calculus, Linear Algebra, ODE, PDE, Numerical Analysis, Math Modeling, Mathematical Biology, and Image Processing.**Research:**Shape Optimization for Eigenvalue Problems, Numerical Methods for Hyperbolic Equations and Dispersive Equations, Mathematical Biology, Level Set Methods and its Applications, Numerical Analysis and Scientific Computing ckao@cmc.edu (909) 607-1066
Deanna Needell, Ph.D.
Associate Professor of Mathematics
PhD in Mathematics
University of California, Davis, May 2009
Dissertation Title: Topics in Compressed Sensing. Adviser: R. Vershynin.
MA in Mathematics
University of California, Davis, Sept. 2005
BS in Mathematics with High Distinction
Second major in Computer Science
University of Nevada, Reno, Dec. 2003
dneedell@cmc.edu
(909) 607-1064

Sam Nelson, Ph.D.
Professor of Mathematics
Ph.D., Louisiana State University; M.S., Louisiana State University; B.S., University of Wyoming

**Teaching:**Calculus, Discrete Mathematics, Introductory Pure Mathematics, Linear algebra, Abstract algebra, Topology, Algebraic topology, Geometry**Research:**Low-dimensional topology, knot theory, algebraic topology snelson@cmc.edu (909) 607-8979
Mike O'Neill, Ph.D.
Professor of Mathematics
B.A., Harvard University; Ph.D., University of California, Los Angeles

**Teaching:**Calculus, Linear Algebra, Differential Equations, Real and Complex Analysis, Functional Analysis, Probability, Statistical Inference, Stochastic Processes, Game Theory, Putnam Exam preparation**Research:**Geometric Function Theory, Harmonic Analysis, probabilistic methods moneill@cmc.edu (909) 627-8336
Robert J. Valenza, Ph.D.
Dengler-Dykema Chair of Mathematics and the Humanities
B.A., M.A., M.Phil., Ph.D., Columbia University

**Teaching:**Humanities,Mathematics**Research:**the Shakespeare authorship question,Philosophy of mathematics and science,Metaphysics,Application of algebraic number theory to arithmetic algorithms rvalenza@cmc.edu (909) 607-7371## Emeritus Faculty

**Research:**Matrix Theory,Development of Calculus,Differential Equations,Linear Algebra Using Graphing Calculators gbradley@cmc.edu (909) 607-3259