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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


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

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
Vasileios Maroulas
  • 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
  • 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

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
    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
      Yu-Ting Chen
      • Probability theory
      • Stochastic partial differential equations
      • Interacting particle systems
      Xiaobing Feng
      • Nonlinear stochastic PDEs and their numerical solutions
      Vasileios Maroulas
      • Computational Statistics
      • Applied Probability
      • Foundations of Data Science
      Balram Rajput
      Jan Rosinski
      Kenneth Stephenson
        Clayton Webster


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

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