Research Areas

Algebra and Number Theory

Dustin Cartwright
Algebraic Geometry ¦ Tropical Geometry ¦ Applied Algebra

Luis Finotti
Arithmetic Geometry ¦ p-Adic and Local Fields ¦ Computational Aspects ¦ Applications

Marie Jameson
Number Theory: Modular Forms

Shashikant Mulay
Commutative Algebra ¦ Algebraic Geometry ¦ Mathematical Physics

Morwen Thistlethwaite
Discrete Subgroups of Lie Groups ¦ Computational Algebra

Analysis

Michael Frazier
Wavelets ¦ Harmonic Analysis ¦ Function Spaces ¦ Schrodinger Operators

Joan Lind
Complex Analysis ¦ Probability

Remus Nicoara
Operator Algebras ¦ Functional Analysis

Stefan Richter
Complex Analysis ¦ Functional Analysis

Kenneth Stephenson
Circle Packing ¦ 2D Particle configurations (graphene, quantum glasses, electron distributions) ¦ Numerical conformal mapping (planar and surface) ¦ 3D printing ¦ Discrete Conformal Geometry

Carl Sundberg

Computational and Applied Mathematics

Vasilios Alexiades
Biomathematics (chemotaxis, action potentials, phototransduction) ¦ Phase Cange Processes (laser ablation, solidification) ¦ Heat & Mass Transfer, CFD ¦ Parallel Computing, Computational Science Education

Michael Berry

Charles Collins
Mathematical Ecology/Biology

Xiaobing Feng
Numerical Analysis and Scientific Computing ¦ Finite Element and Discontinuous Galerkin Methods ¦ Deterministic and Stochastic PDEs ¦ Geometric Moving Interfaces ¦ Systems Biology

Ohannes Karakashian
Finite Element and discontinuous Galerkin methods ¦ Fast iterative solvers, Domain Decomposition ¦ Navier-Stokes equations, nonlinear dispersive equations ¦ Space-time Finite Element methods ¦ A posteriori errore estimates

Vasileios Maroulas
Computational Statistics ¦ Applied Probability ¦ Foundations of Data Science ¦ Topological Data Analysis ¦ Applications of Statistical Learning Methods to Neuroscience and Biology

Abner J. Salgado
Numerical Analysis

Tim Schulze
Materials Science ¦ Crystal Growth ¦ Kinetic Monte Carlo Simulation

Kenneth Stephenson
Circle Packing ¦ 2D Particle configurations (graphene, quantum glasses, electron distributions) ¦ Numerical conformal mapping (planar and surface) ¦ 3D printing ¦ Discrete Conformal Geometry

Clayton Webster

Steven Wise

Differential Geometry

Theodora Bourni
Geometric Analysis ¦ Geometric measure theory

Alexandre Freire
Geometric Analysis

Mathew Langford
Geometric analysis

Conrad Plaut
Discrete methods in Geometry and Topology ¦ Metric Geometry ¦ Riemannian Geometry

Mathematical Biology

Vasilios Alexiades
Biomathematics (chemotaxis, action potentials, phototransduction) ¦ Phase Cange Processes (laser ablation, solidification) ¦ Heat & Mass Transfer, CFD ¦ Parallel Computing, Computational Science Education

Judy Day
dynamical systems ¦ mathematical modeling and control ¦ model predictive control ¦ acute inflammation/immunology ¦ translational medicine

Nina Fefferman

Xiaobing Feng
Numerical Analysis and Scientific Computing ¦ Finite Element and Discontinuous Galerkin Methods ¦ Deterministic and Stochastic PDEs ¦ Geometric Moving Interfaces ¦ Systems Biology

Vitaly Ganusov
Immunology ¦ Infectious diseases ¦ Within-host dynamics

Sergey Gavrilets
Biological, social, and cultural evolution. Human origins. Social complexity, conflict, and cooperation in historical and modern societies.

Louis Gross
Population and Community Ecology ¦ Vegetation Modeling ¦ Quantitative Education In The Life Sciences. ¦ Spatial Modeling

Suzanne Lenhart
Optimal Control ¦ PDEs With Applications In Population Models, Infectious Diseases, Invasive Species, and Natural Resources

Vasileios Maroulas
Computational Statistics ¦ Applied Probability ¦ Foundations of Data Science ¦ Topological Data Analysis ¦ Applications of Statistical Learning Methods to Neuroscience and Biology

Christopher Strickland
Computational and Data-Driven Mathematics ¦ Complex Systems ¦ Mathematical Modeling ¦ Population Ecology

Partial Differential Equations

Vasilios Alexiades
Biomathematics (chemotaxis, action potentials, phototransduction) ¦ Phase Cange Processes (laser ablation, solidification) ¦ Heat & Mass Transfer, CFD ¦ Parallel Computing, Computational Science Education

Theodora Bourni
Geometric Analysis ¦ Geometric measure theory

Jochen Denzler
Differential Equations

Xiaobing Feng
Numerical Analysis and Scientific Computing ¦ Finite Element and Discontinuous Galerkin Methods ¦ Deterministic and Stochastic PDEs ¦ Geometric Moving Interfaces ¦ Systems Biology

Michael Frazier
Wavelets ¦ Harmonic Analysis ¦ Function Spaces ¦ Schrodinger Operators

Alexandre Freire
Geometric Analysis

Mathew Langford
Geometric analysis

Suzanne Lenhart
Optimal Control ¦ PDEs With Applications In Population Models, Infectious Diseases, Invasive Species, and Natural Resources

Tadele Mengesha
Partial differential equations, system of integral equations applied to mechanics ¦ Calculus of variations

Tuoc Phan
Partial differential equations

Henry Simpson
Mathematical Elasticity ¦ Nonlinear Elliptic Partial Differential Equations, Variational and Topological Aspects, Bifurcation.

Grozdena Todorova
Hyperbolic and Parabolic Partial Differential Equations ¦ Mathematical Physics

Probability and Stochastic Processes

Xia Chen
Large deviation ¦ Stochastic partial differential equations ¦ Brownian motions and random walks ¦ Markov processes and Markov chains ¦ Intersction local times

Yu-Ting Chen
Probability theory ¦ Stochastic partial differential equations ¦ Interacting particle systems

Vasileios Maroulas
Computational Statistics ¦ Applied Probability ¦ Foundations of Data Science ¦ Topological Data Analysis ¦ Applications of Statistical Learning Methods to Neuroscience and Biology

Balram Rajput

Jan Rosinski

Kenneth Stephenson
Circle Packing ¦ 2D Particle configurations (graphene, quantum glasses, electron distributions) ¦ Numerical conformal mapping (planar and surface) ¦ 3D printing ¦ Discrete Conformal Geometry

Topology

Nikolay Brodskiy
Geometric Group Theory

Jerzy Dydak
Geometry

Vasileios Maroulas
Computational Statistics ¦ Applied Probability ¦ Foundations of Data Science ¦ Topological Data Analysis ¦ Applications of Statistical Learning Methods to Neuroscience and Biology

Conrad Plaut
Discrete methods in Geometry and Topology ¦ Metric Geometry ¦ Riemannian Geometry