Research Areas

Algebra and Number Theory

• Dustin Cartwright
  • Algebra and Number Theory
    • Algebraic Geometry
  • • Tropical Geometry
  • • Applied Algebra
• Luis Finotti
  • Algebra and Number Theory
    • Arithmetic Geometry
  • • p-Adic and Local Fields
  • • Computational Aspects
• Marie Jameson
  • Algebra and Number Theory
    • Number Theory: Modular Forms
• David Manderscheid
  • Algebra and Number Theory
    • Representation Theory of p-adic Groups
  • • Langlands Correspondence
  • • Theta Correspondence
• Shashikant Mulay
  • Algebra and Number Theory
    • Commutative Algebra
  • • Algebraic Geometry
  • • Mathematical Physics
• Morwen Thistlethwaite
  • Algebra and Number Theory
    • Discrete Subgroups of Lie Groups
  • • Computational Algebra

Analysis

• Michael Frazier
  • Analysis
    • Wavelets
  • • Harmonic Analysis
  • • Function Spaces
  • Partial Differential Equations
    • Schrodinger Operators
• Joan Lind
  • Analysis
    • Complex Analysis
  • • Probability
• Remus Nicoara
  • Analysis
    • Operator Algebras
  • • Functional Analysis
• Stefan Richter
  • Analysis
    • Complex Analysis
  • • Functional Analysis
• Vyron Vellis
  • Analysis
    • Geometric Function Theory
  • • Geometric Measure Theory
  • • Complex Analysis
  • Differential Geometry
    • sub-Riemannian Geometry
  • • Metric Geometry
  • • Geometry of Fractals

Computational and Applied Mathematics

• Michael Berry
  • Computational and Applied Mathematics
• Charles Collins
  • Computational and Applied Mathematics
    • Mathematical Ecology/Biology
• Xiaobing Feng
  • Computational and Applied Mathematics
    • Numerical PDEs and Scientific Computing
  • Partial Differential Equations
    • Fully nonlinear PDEs and geometric flows
  • Mathematical Biology
    • Systems biology and gene function prediction
  • Probability and Stochastic Processes
    • Nonlinear stochastic PDEs and their numerical solutions
• Ohannes Karakashian
  • Computational and Applied Mathematics
    • Finite Element and discontinuous Galerkin methods
  • • Fast iterative solvers, Domain Decomposition
  • • Navier-Stokes equations, nonlinear dispersive equations
• Vasileios Maroulas
  • Statistics and Data Analysis
    • Computational Bayesian Statistics
  • • Topological Data Analysis
  • • Foundations of Data Science
  • Probability and Stochastic Processes
    • Applied Probability
  • Mathematical Biology
    • Statistical Learning Methods in Neuroscience and Molecular Biology
  • Computational and Applied Mathematics
    • Scientific Machine Learning
  • Topology
    • Applied Topology
• Olivia Prosper
  • Mathematical Biology
  • Computational and Applied Mathematics
• Abner J. Salgado
  • Computational and Applied Mathematics
    • Numerical Analysis
• Tim Schulze
  • Computational and Applied Mathematics
    • Materials Science
  • • Crystal Growth
  • • Kinetic Monte Carlo Simulation
• Ioannis Sgouralis
  • Statistics and Data Analysis
    • Data modeling and interpretation
  • • Bayesian nonparametrics
  • • Computational statistics
  • Mathematical Biology
    • Biomedicine
  • • Single molecule biophysics/biochemistry
  • • Central dogma of biology
  • Computational and Applied Mathematics
    • Statistical optics and image analysis
  • • Inverse problems
  • • Multiscale modeling
• Christopher Strickland
  • Mathematical Biology
    • Mathematical Modeling
  • • Complex Systems
  • • Population Ecology
  • Computational and Applied Mathematics
    • Computational/Data-Driven Mathematics
• Steve Wise
  • Computational and Applied Mathematics
    • Multi-phase Flows, Moving Boundary Problems
  • • Numerical Methods for PDE
  • • Fast Solvers for Nonlinear Elliptic PDE
  • Partial Differential Equations
    • Nonlinear Parabolic PDE
  • • Existence, Uniqueness, and Regularity of Solutions
  • Mathematical Biology
    • Biological Membranes

Differential Geometry

• Theodora Bourni
  • Differential Geometry
    • Geometric Analysis
  • • Geometric measure theory
  • Partial Differential Equations
• Alexandre Freire
  • Differential Geometry
    • Geometric Analysis
  • • Analysis on manifolds
  • Partial Differential Equations
    • Geometric flows
  • • Spectrum of Riemannian manifolds
• Conrad Plaut
  • Differential Geometry
    • Riemannian Geometry
  • • Metric Geometry/Alexandrov Spaces
  • • Geometry of Fractals
  • Topology
    • Discrete Homotopy Theory
  • • Topological Groups
  • • Generalized Covering Spaces
• Vyron Vellis
  • Analysis
    • Geometric Function Theory
  • • Geometric Measure Theory
  • • Complex Analysis
  • Differential Geometry
    • sub-Riemannian Geometry
  • • Metric Geometry
  • • Geometry of Fractals

Mathematical Biology

• Nina Fefferman
  • Mathematical Biology
    • Epidemiology & BioSecurity
  • • Evolution and Stability of Social-Behavioral Systems
  • • Self-organizing Adaptive Complex Systems
  • Computational and Applied Mathematics
    • Network Theory
  • • Distributed Anomaly Detection
  • • Applied Algebraic Topology
• Xiaobing Feng
  • Computational and Applied Mathematics
    • Numerical PDEs and Scientific Computing
  • Partial Differential Equations
    • Fully nonlinear PDEs and geometric flows
  • Mathematical Biology
    • Systems biology and gene function prediction
  • Probability and Stochastic Processes
    • Nonlinear stochastic PDEs and their numerical solutions
• Vitaly Ganusov
  • Mathematical Biology
    • Immunology
  • • Infectious diseases
  • • Within-host dynamics
  • Statistics and Data Analysis
    • Data Science
  • • Statistics
  • • Computation
• Sergey Gavrilets
  • Mathematical Biology
    • Biological, social, and cultural evolution. Human origins. Social complexity, conflict, and cooperation in historical and modern societies.
• Suzanne Lenhart
  • Mathematical Biology
    • Optimal Control of ODEs, PDEs, discrete and integrodifference equations
  • • Population Models, Infectious Diseases, One Health
  • • Natural Resource Modeling, Invasive Species, Agent Based Models
  • Partial Differential Equations
    • Parabolic Systems
  • • First order PDEs for age structure models
  • • Elliptic equations for population models
• Vasileios Maroulas
  • Statistics and Data Analysis
    • Computational Bayesian Statistics
  • • Topological Data Analysis
  • • Foundations of Data Science
  • Probability and Stochastic Processes
    • Applied Probability
  • Mathematical Biology
    • Statistical Learning Methods in Neuroscience and Molecular Biology
  • Computational and Applied Mathematics
    • Scientific Machine Learning
  • Topology
    • Applied Topology
• Olivia Prosper
  • Mathematical Biology
  • Computational and Applied Mathematics
• Ioannis Sgouralis
  • Statistics and Data Analysis
    • Data modeling and interpretation
  • • Bayesian nonparametrics
  • • Computational statistics
  • Mathematical Biology
    • Biomedicine
  • • Single molecule biophysics/biochemistry
  • • Central dogma of biology
  • Computational and Applied Mathematics
    • Statistical optics and image analysis
  • • Inverse problems
  • • Multiscale modeling
• Christopher Strickland
  • Mathematical Biology
    • Mathematical Modeling
  • • Complex Systems
  • • Population Ecology
  • Computational and Applied Mathematics
    • Computational/Data-Driven Mathematics
• Steve Wise
  • Computational and Applied Mathematics
    • Multi-phase Flows, Moving Boundary Problems
  • • Numerical Methods for PDE
  • • Fast Solvers for Nonlinear Elliptic PDE
  • Partial Differential Equations
    • Nonlinear Parabolic PDE
  • • Existence, Uniqueness, and Regularity of Solutions
  • Mathematical Biology
    • Biological Membranes
• Xinyue Zhao

  Mathematical Biology

  Computational and Applied Mathematics

  Partial Differential Equations

Partial Differential Equations

• Theodora Bourni
  • Differential Geometry
    • Geometric Analysis
  • • Geometric measure theory
  • Partial Differential Equations
• Jochen Denzler
  • Partial Differential Equations
    • Differential Equations
• Xiaobing Feng
  • Computational and Applied Mathematics
    • Numerical PDEs and Scientific Computing
  • Partial Differential Equations
    • Fully nonlinear PDEs and geometric flows
  • Mathematical Biology
    • Systems biology and gene function prediction
  • Probability and Stochastic Processes
    • Nonlinear stochastic PDEs and their numerical solutions
• Michael Frazier
  • Analysis
    • Wavelets
  • • Harmonic Analysis
  • • Function Spaces
  • Partial Differential Equations
    • Schrodinger Operators
• Alexandre Freire
  • Differential Geometry
    • Geometric Analysis
  • • Analysis on manifolds
  • Partial Differential Equations
    • Geometric flows
  • • Spectrum of Riemannian manifolds
• Suzanne Lenhart
  • Mathematical Biology
    • Optimal Control of ODEs, PDEs, discrete and integrodifference equations
  • • Population Models, Infectious Diseases, One Health
  • • Natural Resource Modeling, Invasive Species, Agent Based Models
  • Partial Differential Equations
    • Parabolic Systems
  • • First order PDEs for age structure models
  • • Elliptic equations for population models
• Tadele Mengesha
  • Partial Differential Equations
    • Partial differential equations, system of integral equations applied to mechanics
  • • Calculus of variations
• Tuoc Phan
  • Partial Differential Equations
    • Partial differential equations
• Henry Simpson
  • Partial Differential Equations
    • Mathematical Elasticity
  • • Nonlinear Elliptic Partial Differential Equations, Variational and Topological Aspects, Bifurcation.
• Grozdena Todorova
  • Partial Differential Equations
    • Hyperbolic and Parabolic Partial Differential Equations
  • • Mathematical Physics
• Steve Wise
  • Computational and Applied Mathematics
    • Multi-phase Flows, Moving Boundary Problems
  • • Numerical Methods for PDE
  • • Fast Solvers for Nonlinear Elliptic PDE
  • Partial Differential Equations
    • Nonlinear Parabolic PDE
  • • Existence, Uniqueness, and Regularity of Solutions
  • Mathematical Biology
    • Biological Membranes

Probability and Stochastic Processes

• Xia Chen
  • Probability and Stochastic Processes
    • Large deviation
  • • Stochastic partial differential equations
  • • Brownian motions and random walks
• Xiaobing Feng
  • Computational and Applied Mathematics
    • Numerical PDEs and Scientific Computing
  • Partial Differential Equations
    • Fully nonlinear PDEs and geometric flows
  • Mathematical Biology
    • Systems biology and gene function prediction
  • Probability and Stochastic Processes
    • Nonlinear stochastic PDEs and their numerical solutions
• Vasileios Maroulas
  • Statistics and Data Analysis
    • Computational Bayesian Statistics
  • • Topological Data Analysis
  • • Foundations of Data Science
  • Probability and Stochastic Processes
    • Applied Probability
  • Mathematical Biology
    • Statistical Learning Methods in Neuroscience and Molecular Biology
  • Computational and Applied Mathematics
    • Scientific Machine Learning
  • Topology
    • Applied Topology
• Hung Nguyen

  Probability and Stochastic Processes

  • Stochastic ordinary/partial differential equations
• Jan Rosinski
  • Probability and Stochastic Processes
    • High dimensional probability
  • • Stable and infinitely divisible processes
  • • Stochastic analysis
  • Statistics and Data Analysis
    • High dimensional probability

Statistics and Data Analysis

• Vasileios Maroulas
  • Statistics and Data Analysis
    • Computational Bayesian Statistics
  • • Topological Data Analysis
  • • Foundations of Data Science
  • Probability and Stochastic Processes
    • Applied Probability
  • Mathematical Biology
    • Statistical Learning Methods in Neuroscience and Molecular Biology
  • Computational and Applied Mathematics
    • Scientific Machine Learning
  • Topology
    • Applied Topology
• Jan Rosinski
  • Probability and Stochastic Processes
    • High dimensional probability
  • • Stable and infinitely divisible processes
  • • Stochastic analysis
  • Statistics and Data Analysis
    • High dimensional probability
• Ioannis Sgouralis
  • Statistics and Data Analysis
    • Data modeling and interpretation
  • • Bayesian nonparametrics
  • • Computational statistics
  • Mathematical Biology
    • Biomedicine
  • • Single molecule biophysics/biochemistry
  • • Central dogma of biology
  • Computational and Applied Mathematics
    • Statistical optics and image analysis
  • • Inverse problems
  • • Multiscale modeling

Topology

• Nikolay Brodskiy
  • Topology
    • Geometric Group Theory
• Jerzy Dydak
  • Topology
    • Geometry
• Vasileios Maroulas
  • Statistics and Data Analysis
    • Computational Bayesian Statistics
  • • Topological Data Analysis
  • • Foundations of Data Science
  • Probability and Stochastic Processes
    • Applied Probability
  • Mathematical Biology
    • Statistical Learning Methods in Neuroscience and Molecular Biology
  • Computational and Applied Mathematics
    • Scientific Machine Learning
  • Topology
    • Applied Topology
• Conrad Plaut
  • Differential Geometry
    • Riemannian Geometry
  • • Metric Geometry/Alexandrov Spaces
  • • Geometry of Fractals
  • Topology
    • Discrete Homotopy Theory
  • • Topological Groups
  • • Generalized Covering Spaces
• Yulan Qing