# Faculty Research Interests

## Bonini, Vincent

### Ph.D. University of California, Santa Cruz

**Interests:** Differential Geometry, Geometric Analysis, Conformal Geometry and Mathematical Relativity

## Borzellino, Joe

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

**Interests:** Riemannian geometry, differential topology of orbifolds

## Brussel, Eric

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

**Interests:** Algebraic geometry, cohomology, and division algebras

## Camp, Charles D.

### Ph.D. CalTech

**Interests:** Geophysical fluid dynamics, atmospheric dynamics, climate change, mathematical modeling, data analysis techniques

## Champney, Danielle

### Ph.D. University of California, Berkeley

**Interests:** Undergraduate mathematics education, students' use of images in mathematical sense-making, ongoing teacher preparation and education

## Choboter, Paul

### Ph.D. University of Alberta

**Interests:** Geophysical fluid dynamics, coastal ocean modeling

## Easton, Rob

### Ph.D. Stanford University

**Interests:** Algebraic Geometry and Tropical Geometry

## Grundmeier, Todd

### Ph.D. University of New Hampshire

**Interests:** Mathematical problem posing and problem solving, pre-service teacher education, in-service professional development

## Gu, Caixing

### Ph.D. Indiana University, Bloomington

**Interests:** Operator theory, matrix analysis, system and control theory

## Hamilton, Emily

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

**Interests:** Low-dimensional topology, hyperbolic geometry, geometric group theory

## Kato, Goro

### Ph.D. University of Rochester

**Interests:** Algebraic geometry (p-adic cohomology theory), D-modules, homological algebra

## Kaul, Anton

### Ph.D. Oregon State University

**Interests:** Geometric group theory

## Kirk, Colleen

### Ph.D. Northwestern University

**Interests:** Integral equations and nonlinear partial differential equations, with applications to combustion and quenching problems

## Liese, Jeffrey

### Ph.D. University of California, San Diego

**Interests:** Enumerative and Algebraic Combinatorics

## Lin, Joyce

### Ph.D. University of North Carolina at Chapel Hill

**Interests:** Applied math, math modeling, math biology, geophysical fluid dynamics

## Medina, Elsa

### Ph.D. University of Northern Colorado

**Interests:** Mathematics education

## Mendes, Anthony

### Ph.D. University of California, San Diego

**Interests:** Algebraic and enumerative combinatorics

## Mueller, Jim

### Ph.D. California Institute of Technology

**Interests:** Applied mathematics, asymptotic analysis, singular perturbation theory

## Paquin, Dana

### Ph.D. Stanford University

**Interests:** Mathematical modeling, applied mathematics, medical imaging

## Patton, Linda

### Ph.D. University of California, San Diego

**Interests:** Operator theory, complex analysis (one and several variables), Nevanlinna-Pick interpolation

## Pearse, Erin

### Ph.D. University of California, Riverside

**Interests:** 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

**Interests:** Enumerative and algebraic combinatorics, discrete probabilities

## Retsek, Dylan

### Ph.D. Washington University, St. Louis

**Interests:** Complex analysis, functional analysis and composition operators

## Richert, Ben

### Ph.D. University of Illinois, Urbana-Champaign

**Interests:** 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

**Interests:** 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

**Interests:** Operator theory, functional analysis and complex function theory

## Samuel, Tony

### Ph.D. University of St Andrews

**Interests:** Complex geometry and dynamics, finite and infinite ergodic theory, fractal geometry, hyperbolic graphs, non-commutative geometry, number theory, stochastic analysis of dynamical systems

## Schinck-Mikel, Amelie

### Ph.D. University of North Carolina, Charlotte

**Interests:** Socio-cultural issues in mathematics education, teacher education, language and mathematics learning, problem solving

## Shapiro, Jonathan

### Ph.D. University of California, Berkeley

**Interests:** Operator theory, complex analysis, and functional analysis

## Sherman, Morgan

### Ph.D. Columbia University

**Interests:** Algebraic and complex geometry; especially Hilbert schemes, balanced metrics

## Stankus, Mark

### Ph.D. University of California, San Diego

**Interests:** Operator theory, noncommutative Groebner basis, system engineering, computer science

## Sze, Lawrence

### Ph.D. Pennsylvania State University

**Interests:** Combinatorics and number theory

## Todorov, Todor

### Ph.D. University of Sofia and Bulgarian Academy of Sciences

**Interests:** 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

**Interests:** Topology

## Yoshinobu, Stan

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

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