# 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

Topology

## Yoshinobu, Stan

Ph.D. University of California, Los Angeles

Undergraduate Mathematics Education,
Inservice and Preservice Teacher Preparation,
Design and Implementation of inquiry-Based methods