Mathematical Sciences Faculty

Mathematical Sciences Faculty

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
Phone: (909) 607-2769
Assistant Professor of Mathematics
Phone: (909) 607-1064
Professor of Mathematics

B.S., University of California, Los Angeles; Ph.D., University of Texas at Austin


Abstract Algebra, Number Theory, Discrete Geometry, Linear Algebra


Number Theory, Discrete and Convex Geometry, Arithmetic Geometry

Phone: (909) 607-0014
Fletcher Jones Professor of Mathematics and Statistics and George R. Roberts Fellow

B.S., Harvey Mudd College; Ph.D., Cornell University.


Statistics,Numerical Methods,Probability


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.

Phone: (909) 607-0938
Assistant Professor of Computer Science
US Naval Academy (BS), Johns Hopkins (MS), UC Riverside (PhD)
Research: I use machine learning to solve large scale social media problems, with a particular emphasis on better understanding non-English speaking communities. The mathematical techniques I use come from numerical optimization, computational geometry, and high dimensional statistics.
Phone: 909-607-6351
Keck Foundation Professor of Applied Math and Computer Science

University of California, Los Angeles, 2004 Ph.D.


Calculus, Linear Algebra, ODE, PDE, Numerical Analysis, Math Modeling, Mathematical Biology, and Image Processing.


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

Phone: (909) 607-1066
Assistant Director of the Murty Sunak Quantitative and Computing Lab and Visiting Assistant Professor of Mathematics

Ph.D., Biomathematics; UCLA M.S., Mathematics; CSU Northridge M.S., Electrical Engineering; CSU Northridge B.A., Applied Mathematics; UC San Diego


Data Science Capstone


Mathematical Biology, Statistical Mechanics, Mathematical Physics

Phone: (909) 607-2900
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
Phone: (909) 607-8979
Professor of Mathematics

B.A., Harvard University; Ph.D., University of California, Los Angeles


Calculus, Linear Algebra, Differential Equations, Real and Complex Analysis, Functional Analysis, Probability, Statistical Inference, Stochastic Processes, Game Theory, Putnam Exam preparation


Geometric Function Theory, Harmonic Analysis, probabilistic methods

Phone: (909) 627-8336
Director of the Murty Sunak Quantitative and Computing Lab; Visiting Assistant Professor

Quantitative and computational methods and tools; parallel computing; statistical computing; data science

Phone: (909) 607-8526
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
Phone: (909) 607-7371
Associate Professor of Mathematics
BA, Pomona College. PhD, Yale University.
Research: Low-dimensional topology, especially quantum invariants and their relationship with hyperbolic geometry. Applications of topology to molecular biology, to data analysis, and to quantum computation.
Phone: 909-607-9922

Visiting Faculty

Visiting Assistant Professor of Mathematics

Functional Analysis and Operator theory (dynamics of linear operators). Interplay between dynamics of linear operators with combinatorics (additive number theory), ergodic theory and non-standard analysis. 

Emeritus Faculty

Associate Professor
B.S., Harvey Mudd College; Ph.D., California Institute of Technology
Research: Matrix Theory,Development of Calculus,Differential Equations,Linear Algebra Using Graphing Calculators
Phone: (909) 607-3259