Faculty Research Interests

Bonini, Vincent

Ph.D. University of California, Santa Cruz
Differential Geometry, Geometric Analysis, Conformal Geometry and Mathematical Relativity

Borzellino, Joe

Ph.D. University of California, Los Angeles
Riemannian geometry, differential topology of orbifolds

Brussel, Eric

Ph.D. University of California, Los Angeles
Algebraic geometry, cohomology, and division algebras

Camp, Charles D.

Ph.D. CalTech
Geophysical fluid dynamics, atmospheric dynamics, climate change, mathematical modeling, data analysis techniques

Champney, Danielle

Ph.D. University of California, Berkeley
Undergraduate mathematics education, students' use of images in mathematical sense-making, ongoing teacher preparation and education

Choboter, Paul

Ph.D. University of Alberta
Geophysical fluid dynamics, coastal ocean modeling

Easton, Rob

Ph.D. Stanford University
Algebraic Geometry and Tropical Geometry

Greenwald, Harvey

Ph.D. Washington University
Harmonic analysis

Grundmeier, Todd

Ph.D. University of New Hampshire
Mathematical problem posing and problem solving, pre-service teacher education, in-service professional development

Gu, Caixing

Ph.D. Indiana University, Bloomington
Operator theory, matrix analysis, system and control theory

Hamilton, Emily

Ph.D. University of California, Los Angeles
low-dimensional topology, hyperbolic geometry, geometric group theory

Hartig, Donald

Ph.D. University of California, Santa Barbara
Topological measure theory, spectral theory and its applications, the use of technology to enhance learning of mathematics

Kato, Goro

Ph.D. University of Rochester
Algebraic geometry (p-adic cohomology theory), D-modules, homological algebra

Kaul, Anton

Ph.D. Oregon State University
Geometric group theory

Kirk, Colleen

Ph.D. Northwestern University
Integral equations and nonlinear partial differential equations, with applications to combustion and quenching problems

Liese, Jeffrey

Ph.D. University of California, San Diego
Enumerative and Algebraic Combinatorics

Lin, Joyce

Ph.D. University of North Carolina at Chapel Hill
Applied math, math modeling, math biology, geophysical fluid dynamics

Medina, Elsa

Ph.D. University of Northern Colorado
Mathematics education

Mendes, Anthony

Ph.D. University of California, San Diego
Algebraic and enumerative combinatorics

Mueller, Jim

Ph.D. California Institute of Technology
Applied mathematics, asymptotic analysis, singular perturbation theory

Paquin, Dana

Ph.D. Stanford University
Mathematical modeling, applied mathematics, medical imaging

Patton, Linda

Ph.D. University of California, San Diego
Operator theory, complex analysis (one and several variables), Nevanlinna-Pick interpolation

Pearse, Erin

Ph.D. University of California, Riverside
Curvature and measurability questions for self-similar fractal sets, especially volume formulas for tubular neighbourhoods. As well as large networks, including boundary representations for infinite graphs and the use of graph-theoretic techniques for analysis of large data sets, with applications to missing data.

Rawlings, Don

Ph.D. University of California, San Diego
Enumerative and algebraic combinatorics, discrete probabilities

Retsek, Dylan

Ph.D. Washington University, St. Louis
Complex analysis, functional analysis and composition operators

Richert, Ben

Ph.D. University of Illinois, Urbana-Champaign
Commutative algebra: free resolutions, the extremal behavior of Hilbert functions and (graded) Betti numbers, generic behavior, Gorenstein rings

Riley, Kate

Ph.D. Montana State University, Bozeman
Subject matter and pedagogical knowledge necessary for prospective teachers to become master teachers; undergraduates' conceptual knowledge in mathematical proof; how technology enhances the learning of problem-solving, mathematical reasoning, and proof

Robbins, Marian

Ph.D. University of Virginia
Operator theory, functional analysis and complex function theory

Schinck-Mikel, Amelie

Ph.D. University of North Carolina, Charlotte
Socio-cultural issues in mathematics education, teacher education, language and mathematics learning, problem solving

Shapiro, Jonathan

Ph.D. University of California, Berkeley
Operator theory, complex analysis, and functional analysis

Sherman, Morgan

Ph.D. Columbia University
Algebraic and complex geometry; especially Hilbert schemes, balanced metrics

Stankus, Mark

Ph.D. University of California, San Diego
Operator theory, noncommutative Groebner basis, system engineering, computer science

Sze, Lawrence

Ph.D. Pennsylvania State University
Combinatorics and number theory

Todorov, Todor

Ph.D. University of Sofia and Bulgarian Academy of Sciences
Non-linear theory of generalized functions (Colombeau algebras), non-standard analysis, asymptotic analysis, coompactifications of ordered topological spaces, linear partial differential equations with variable coefficients, and teaching calculus

White, Matthew

Ph.D. University of California, Santa Barbara

Yoshinobu, Stan

Ph.D. University of California, Los Angeles
Undergraduate Mathematics Education, Inservice and Preservice Teacher Preparation, Design and Implementation of inquiry-Based methods