Research

This page reflects the primary research areas in the Department of Mathematics and Statistics. Please feel free to navigate to our faculty’s individual GU360 profile (hyperlinked in their names) for further information.

Algebra

Sara Gharahbeigi
Bogdan Raita: Commutative algebra, systems of linear PDE with constant coefficients

Combinatorics

Michael Raney: Configurations, incidence geometries, matroids

Complex Analysis

Der-Chen Chang
Sophia Vassiliadou

Dynamical Systems

Daniel Cuzzocreo: Discrete dynamics, one-dimensional complex dynamics
Erblin Mehmetaj

Geometry

Der-Chen Chang
Erblin Mehmetaj

Fluids

Der-Chen Chang
Benjamin Harrop-Griffiths: Surface and internal waves, vortex dynamics

Imaging

Bogdan Raita; Image reconstruction, medical imaging, Maxwell’s equations
Maryam Yashtini

Mathematical Biology

Judith Miller; Evolutionary ecology, population genetics, invasive species
Sivan Leviyang

Analysis and Partial Differential Equations

Der-Chen Chang
Matthias Eller
Haitao Fan
Benjamin Harrop-Griffiths: Nonlinear waves, dispersive equations, integrable PDEs, wave turbulence
Zhe Liu; Functional analysis, operator algebras
Judith Miller: Nonlinear waves, reaction-diffusion systems, integrodifference systems
Bogdan Raita: Calculus of variations, compensated compactness, linear PDE in L1

Statistics/Biostatistics and Probability

Ali Arab: Time series, spatiotemporal processes
Matthew Hawks: Graph-theoretic statistics
Sivan Leviyang: Applied probability
Mark Meyer: Functional and longitudinal data analysis, Bayesian statistics
Mahlet Tadesse: Variable selection, mixture models, Bayesian statistics

Pedagogy

John Extejt: Calculus pedagogy
Matthew Hawks: Statistics pedagogy
Erblin Mehmetaj: Active learning pedagogy
Nicole Meyer: Statistics pedagogy
Oded Meyer: Combining online materials with face-to-face instructions of Introductory Statistics