Mathematical Sciences Faculty

Mathematical Sciences Faculty

Visiting Assistant Professor of Computer Science
Research:

Artificial Intelligence

Natural Language Processing

Machine Translation

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
Postdoctoral Fellow and Visiting Assistant Professor

PhD - Kansas State University, May 2023

Masters of Science - Kansas State University, July 2019

Bachelors of Arts - Colorado College, May 2013

Teaching:

Plane Trigonometry, College Algebra, Business Calculus, Calculus I-III, Linear Algebra, Differential Equations, Discrete Math, Abstract Algebra

Research:

Algebraic geometry, homological algebra, derived categories, symplectic geometry, homological mirror symmetry

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

Teaching:

Abstract Algebra, Number Theory, Discrete Geometry, Linear Algebra

Research:

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.

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.

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.

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

Phone: (909) 607-1066
George C.S. Benson Professor of Public Affairs

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

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

Phone: (909) 627-8336
Assistant Professor of Statistics

A.B., Harvard University; M.S., Georgetown University; M.S., Ph.D., Stanford University

Teaching:

Probability, statistics, data science

Research:

Causal inference, political methodology

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
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

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

Teaching:

Data Science Capstone

Research:

Mathematical Biology, Statistical Mechanics, Mathematical Physics

Phone: (909) 607-2900
Director of the Murty Sunak Quantitative and Computing Lab; Visiting Assistant Professor
Teaching:

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

 
Phone: (909) 607-8526

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