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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
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
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)
Carl Sundberg
Vyron Vellis
  • Geometric Function Theory
  • Geometric Measure Theory
  • Complex Analysis

Computational and Applied Mathematics

Vasilios Alexiades
  • Biomathematics
  • Phase Cange Processes
  • Heat & Mass Transfer, CFD
Michael Berry
Charles Collins
  • Mathematical Ecology/Biology
Nina Fefferman
  • Network Theory
  • Distributed Anomaly Detection
  • Applied Algebraic Topology
Xiaobing Feng
  • Numerical PDEs and Scientific Computing
Ohannes Karakashian
  • Finite Element and discontinuous Galerkin methods
  • Fast iterative solvers, Domain Decomposition
  • Navier-Stokes equations, nonlinear dispersive equations
Olivia Prosper
Abner J. Salgado
  • Numerical Analysis
Tim Schulze
  • Materials Science
  • Crystal Growth
  • Kinetic Monte Carlo Simulation
Kenneth Stephenson
  • 3D printing
  • Discrete Conformal Geometry
Christopher Strickland
  • Computational/Data-Driven Mathematics
Clayton Webster
Steven Wise
  • Multi-phase Flows, Moving Boundary Problems
  • Numerical Methods for PDE
  • Fast Solvers for Nonlinear Elliptic PDE

Differential Geometry

Theodora Bourni
  • Geometric Analysis
  • Geometric measure theory
Alexandre Freire
  • Geometric Analysis
  • Analysis on manifolds
Mathew Langford
  • Geometric analysis
Conrad Plaut
  • Riemannian Geometry
  • Metric Geometry/Alexandrov Spaces
  • Geometry of Fractals
Vyron Vellis
  • sub-Riemannian Geometry
  • Metric Geometry
  • Geometry of Fractals

Mathematical Biology

Vasilios Alexiades
  • chemotaxis, action potentials, phototransduction
Judy Day
  • dynamical systems
  • mathematical modeling and control
  • model predictive control
Nina Fefferman
  • Epidemiology & BioSecurity
  • Evolution and Stability of Social-Behavioral Systems
  • Self-organizing Adaptive Complex Systems
Xiaobing Feng
  • Systems biology and gene function prediction
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.
Suzanne Lenhart
  • Optimal Control of ODEs, PDEs, discrete and integrodifference equations
  • Population Models, Infectious Diseases, One Health
  • Natural Resource Modeling, Invasive Species, Agent Based Models
Vasileios Maroulas
  • Statistical Learning Methods in Neuroscience and Molecular Biology
Olivia Prosper
Christopher Strickland
  • Mathematical Modeling
  • Complex Systems
  • Population Ecology

Partial Differential Equations

Vasilios Alexiades
  • Parallel Computing, Computational Science Education
  • laser ablation, solidification
Theodora Bourni
    Jochen Denzler
    • Differential Equations
    Xiaobing Feng
    • Fully nonlinear PDEs and geometric flows
    Michael Frazier
    • Schrodinger Operators
    Alexandre Freire
    • Geometric flows
    • Spectrum of Riemannian manifolds
    Mathew Langford
    • Fully nonlinear elliptic and parabolic equations
    Suzanne Lenhart
    • Parabolic Systems
    • First order PDEs for age structure models
    • Elliptic equations for population models
    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
    Clayton Webster
    Steven Wise
    • Nonlinear Parabolic PDE
    • Existence, Uniqueness, and Regularity of Solutions

    Probability and Stochastic Processes

    Xia Chen
    • Large deviation
    • Stochastic partial differential equations
    • Brownian motions and random walks
    Xiaobing Feng
    • Nonlinear stochastic PDEs and their numerical solutions
    Louis Gross
    • Spatial Modeling
    Vasileios Maroulas
    • Applied Probability
    Balram Rajput
    Jan Rosinski
    Kenneth Stephenson
      Clayton Webster

      Statistics and Data Analysis

      Vitaly Ganusov
      • Data Science
      • Statistics
      • Computation
      Louis Gross
      • Data Science Education
      Vasileios Maroulas
      • Computational Bayesian Statistics
      • Topological Data Analysis
      • Foundations of Data Science

      Topology

      Nikolay Brodskiy
      • Geometric Group Theory
      Jerzy Dydak
      • Geometry
      Conrad Plaut
      • Discrete Homotopy Theory
      • Topological Groups
      • Generalized Covering Spaces

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