Faculty

Research Interests: Modeling and analysis of distributed and concurrent systems, including those with human participants

Research Interests: Stochastic PDE

Affiliated faculty in CICS

Research Interests: Geometry and Topology

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Catherine Benincasa

Research Interests: Topology of algebraic varieties; Representation Theory; Combinatorics

Research Interests: Lefschetz Fibrations, Low dimensional topology, Mapping Class Groups, Geometry

Research Interests: Mathematical Biology; Non-local PDEs; Numerical and analytical bifurcation theory; Reaction diffusion equations; Computational Biology

Research Interests: Mathematical Education, Mathematical Self-Efficacy, Barriers to STEM completion, Impacts of Gender and Race in Mathematical Experiences and Persistence, Group Work Structures and Dynamics

Research Interests: Interacting particle system, Partial differential equations, Theoretical computer science

Research Interests: Numerical Analysis and Scientific Computing

Research Interests: Differential Geometry and Topology

Research Interests: Network science; Data-driven modeling and inference; Model reduction and scientific computing.

Research Interests: Statistics; Bayesian methods for data science, big data and analytics; bioinformatics; biostatistics.

Research Interests: Dynamical systems, billiard systems, ergodic theory

Senior Lecturer

Research Interests: Multiscale modeling, numerical analysis

Visiting Assistant Professor

Research Interests: Analysis, Harmonic Analysis, Dispersive PDEs

Research Interests: large-scale genomic data, hierarchical Bayesian models, variational inference, robust experiment design

Visiting Assistant Professor

Research Interests: social science statistics, social networks, sampling, network sampling, link-tracing sampling, respondent-driven sampling

Research Interests: Bayesian Nonparametrics, Multi-Scale Modeling, Social Science

Research Interests: Statistics

Research Interests: Number theory

Research Interests: quantum field theory, derived geometry, higher categories

Research Interests: Algebraic geometry

Research Interests: Algebraic number theory

A Havens is a lecturer interested in geometric topology and the history of mathematics.

Research Interests: Scientific Computing and Fluid Dynamics

Research Interests: Statistical Design of Experiments, Statistical Learning, Uncertainty Quantification, Bayesian Statistics and Approximate Inference, Optimization, Application of Data Science

Research Interests: Generative Modeling, Scientific Machine Learning, Information Theory, Uncertainty Quantification, Multi-scale Methods

Research Interests: Mathematical Physics; Nonlinear PDEs and DDEs; Dynamical Systems; Mathematical Biology

Research Interests: Statistics; Asymmetric Dependence/Association; Categorical Data Modelling; Mixture Modeling; Likelihood Inference; Interdisciplinary research on food science

Research Interests: Geometric analysis and variational problems, low dimensional geometry & topology, mathematical visualization

Research interests: mathematical physics and partial differential equations

Research Interests: Probability, stochastic processes

Research Interests: Statistical data analysis; Stochastic branching process in wireless ad-hoc network; Sound generation mechanism for aircraft engine nozzle; Homogenization for heterogeneous composites; Rayleigh-Taylor instabilities

Research interests: Uncertainty quantification, stochastic optimization, statistical learning, applications with the theme of social good

Research Interests: Applied Probability , Applied Dynamical Systems, Numerical Analysis

Research Interests: Financial Mathematics, Mathematical Biology

Visiting Assistant Professor

Research Interests: Non-parametric statistics, mixed models, active learning, optimization, anomaly detection, single cell RNA analysis

Research Interests: Applied Probability, Statistics, Applied Analysis, PDEs, Mathematics of Machine Learning and Data Sciences

Research Interests: Algebraic geometry

Education: PhD Statistics, Stanford University

Research Interests: Symplectic geometry

Research Interests: Enumerative and Algebraic Combinatorics

Research Interests: Nonparametric Statistics, Bayesian Inference and Modeling, Computational Statistics

Research Interests: Harmonic and nonlinear Fourier Analysis; Partial Differential Equations.

Research Interests: Dynamical systems, geometry

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Research Interests: Representation Theory, Algebraic Geometry and Mathematical Physics

Research Interests: Differential geometry

Visiting Assistant Professor

Research Interests: Combinatorial optimization

Research Interests: Probability and mathematical physics

Research Interests: Higher category theory, homotopy theory, algebraic topology

Research Interests: Symplectic geometry, contact geometry

Research Interests: Computational and Mathematical Biology, Data Science, Bioinformatics

Jessica Sidman, Affiliated faculty from Amherst College

Research Interests: Representation Theory, Algebraic Combinatorics

Research Interests: Statistics, measurement error, smoothing, measurement of physical activity

Research Interests: Symplectic Geometry & Topology

Research Interests: Algebraic Geometry

Research Interests: Applied Probability, Numerical Analysis

Research Interests: Nonparametric statistics, causal inference, shape-constrained inference, survival analysis.

Research Interests: Number Theory

Research Interests: Fluid Mechanics, Math Biology, Numerical Analysis

Research Interests: Number Theory

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Research Interests: Nonlinear PDE, Classical Mechanics

Research Interests: Machine Learning of Dynamical systems, Chaotic Billiards and ergodic theory; Deep learning using Graph Neural Network; Financial Mathematics

Research Interests: Mathematics of data science, Generative Modeling, Bayesian computation, Rare event simulation

Research Interests: Mathematical theory of data science and machine learning; statistical learning theory; optimization; applied harmonic analysis; applied probability; scientific computing; PDE and dynamical systems; computer vision and image processing