Faculty Research

Explore the core research areas of the Department of Mathematics and Statistics. Faculty names are linked to their GU360 profiles, where you can find detailed information about their scholarly work and ongoing projects.

Algebra

Sara Gharahbeigi
Bogdan Raiță: 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 Raiță: 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 Raiță: 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