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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

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