# 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

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