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

David Manderscheid

• Representation Theory of p-adic Groups
• Langlands Correspondence
• Theta Correspondence

Shashikant Mulay

• Commutative Algebra
• Algebraic Geometry

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

Vyron Vellis

• Geometric Function Theory
• Geometric Measure Theory
• Complex Analysis

Michael Berry

Charles Collins

• Mathematical Ecology/Biology

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

• Scientific Machine Learning

Duc Nguyen

• Mathematical Biology
• High Order Interface Methods
• Numerical PDE
• AI-assistant Numerical Methods

Olivia Feldman

Abner J. Salgado

• Numerical Analysis

Tim Schulze

• Materials Science
• Crystal Growth
• Kinetic Monte Carlo Simulation

Ioannis Sgouralis

• Statistical Optics and image analysis
• Inverse problems
• Multiscale modeling

Christopher Strickland

• Modeling and analysis of organismal and population ecology and substance use disorder
• Collective behavior
• Invasive dispersal modeling

Steve Wise

• Multi-phase Flows, Moving boundary problems
• Numerical methods for PDE
• Fast solvers for Nonlinear Elliptic PDE

Theodora Bourni

• Geometric Analysis
• Geometric measure theory

Alexandre Freire

• Geometric Analysis
• Analysis on manifolds

Duc Nguyen

• Differential Geometry-based Learning Analysis
• Manifold Learning

Conrad Plaut

• Riemannian Geometry
• Metric Geometry / Alexandrov Spaces
• Geometry of Fractals

Vyron Vellis

• sub-Riemannian Geometry
• Metric Geometry
• Geometry of Fractals

Nina Fefferman

• Epidemiology & BioSecurity
• Evolution and Stability of Social-Behavioral Systems
• Self-organizing Adaptive Complex Systems

Xiaobing Feng

• Systems biology and gene function prediction

Sergey Gavrilets

• Biological, social, and cultural evolution.
• Human origins.
• Social complexity, conflict, and cooperation in historical and modern societies.

Suzanne Lenhart

• Optimal Control of ODEs, PDEs, discrete and integrodifference equations
• Population Models, Infections Diseases, One Health
• Natural Resource Modeling, Invasive Species, Agent Based Models

Vasileios Maroulas

• Statistical Learning Methods in Neuroscience and Molecular Biology

Duc Nguyen

• AI-Driven Mathematical Biology
• Biomolecular Data Representations
• Protein Modeling
• Molecular Conformation Ensembles
• Quantitative Systems Pharmacology
• Drug Discovery

Olivia Prosper

Ioannis Sgouralis

• Biomedicine
• Single molecule biophysics/biochemistry
• Central dogma of biology

Christopher Strickland

• Mathematical Modeling
• Complex Systems
• Population Ecology

Steve Wise

• Biological Membranes

Xinyue Zhao

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

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
• Population Ecology

Grozdena Todorova

• Hyperbolic and Parabolic Partial Differential Equations
• Mathematical Physics

Steve Wise

• Nonlinear Parabolic PDE
• Existence, Uniqueness, and Regularity of Solutions

Xia Chen

• Large Deviation
• Stochastic partial differential equations
• Brownian motions and random walks

Xiaobing Feng

• Nonlinear stochastic PDEs and their numerical solutions

Vasileios Maroulas

• Applied probability

Hung Nguyen

• Stochastic ordinary / partial differential equations

Jan Rosinski

• High dimensional probability
• Stable and infinitely divisible processes
• Stochastic analysis

Vasileios Maroulas

• Computational Bayesian Statistics
• Topological Data Analysis
• Foundations of Data Science

Duc Nguyen

• Topological Data Analysis
• Low-dimensional Mathematical Representations
• Large Language-Based Models
• Graph Neural Networks
• Multitask Learning
• Manifold Learning
• Transfer Learning
• Autoencoder
• Generative Complex Networks

Jan Rosinski

• High Dimensional Probability

Ioannis Sgouralis

• Data modeling and interpretation
• Bayesian nonparametrics
• Computational statistics

Nikolay Brodskiy

• Geometric Group Theory

Jerzy Dydak

• Geometry

Vasileios Maroulas

• Applied Topology

Duc Nguyen

• Topological Data Analysis

Conrad Plaut

• Discrete Homotopy theory
• Topological Groups
• Generalized Covering Spaces

Yulan Qing