Mathematical Sciences Faculty
Mathematical Sciences Faculty
Artificial Intelligence
Natural Language Processing
Machine Translation
B.Sc., University of Ankara (Turkey); M.S., The Middle East Technical University; Ph.D., University of Michigan
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
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.
US Naval Academy (BS), Johns Hopkins (MS), UC Riverside (PhD)
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.
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
Ph.D., Louisiana State University; M.S., Louisiana State University; B.S., University of Wyoming
Calculus, Discrete Mathematics, Introductory Pure Mathematics, Linear algebra, Abstract algebra, Topology, Algebraic topology, Geometry
Low-dimensional topology, knot theory, algebraic topology
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
A.B., Harvard University; M.S., Georgetown University; M.S., Ph.D., Stanford University
Probability, statistics, data science
Causal inference, political methodology
BA, Pomona College. PhD, Yale University.
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.
Visiting Faculty
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
Quantitative and computational methods and tools; parallel computing; statistical computing; data science
Emeritus Faculty
