Algebra, Analysis and Number Theory
The most consequential discoveries often begin with abstract ideas pursued for their own sake. Our faculty work at the frontiers of pure mathematics, where the theorems proved today become the tools of tomorrow.
- Douglas Bowman — Studies analytic number theory, special functions, continued fractions and related problems in combinatorics and analysis.
- Alastair Fletcher — Investigates quasiconformal and quasiregular mappings, complex dynamics and Teichmüller theory.
- Michael Geline — Researches finite group representation theory and major conjectures connecting local and global group structure.
- Ilya Krishtal — Works in harmonic analysis, sampling theory, operator theory and signal reconstruction in evolving systems.
- Andrew Ledoan — Explores prime number distribution, the Riemann zeta function and probabilistic questions in number theory.
- Gleb Sirotkin — Studies functional analysis, operator theory and the geometry of Banach spaces.
Geometry, Topology and Dynamical Systems
The researchers in this group apply the tools of differential geometry, algebraic topology and dynamical systems to some of the deepest structural questions in mathematics.
- Anders Linnér — Investigates geometric flows, variational problems and the analysis of curves and surfaces.
- Christopher McCord — Applies algebraic topology to dynamical systems, celestial mechanics and the N-body problem.
Mathematical Biology and Partial Differential Equations
The researchers in this group develop and analyze differential equations, reaction networks and spatial models that reveal how biological systems behave, spread and self-organize across scales.
- Maya Mincheva — Studies biochemical reaction networks, pattern formation and dynamical systems in biology.
- Maria Amarakristi Onyido — Investigates partial differential equations, population dynamics and reaction-diffusion systems.
- Shuwen Xue — Researches mathematical models of population growth, disease spread and chemotaxis in changing environments.
Optimization and Algorithm Design
The hardest problems in science and engineering demand not just powerful computers, but powerful mathematics. Our faculty develop the algorithms, analytical tools and computational frameworks that make difficult problems tractable.
- Yunier Bello Cruz — Designs algorithms for large-scale optimization, variational inequalities and numerical computation.
- Sien Deng — Studies optimization theory, variational analysis and equilibrium problems.
- Nathan Krislock — Develops optimization methods for combinatorial problems, semidefinite programming and large-scale computation.
Mathematics Education Research
Mathematics is only as powerful as our ability to teach it well. Our faculty investigate how people learn mathematics, how instructors shape that learning and how the discipline can be made more equitable and accessible.
- Ricela Feliciano-Semidei — Explores community-based mathematics instruction, teacher education and student success.
- Rachel Rupnow — Studies how students understand abstract mathematical structures and learn in proof-based courses.
- Kevin Palencia — Investigates calculus learning, culturally relevant instruction and student persistence in mathematics.
Statistics, Data Science and Bayesian Methods
Data without rigorous statistical thinking is just noise. Our faculty develop the theory and computational methods that transform complex data into reliable knowledge.
- Alan Polansky — Researches nonparametric statistics, statistical inference and applications in quality control and network analysis.
- Duchwan Ryu — Develops Bayesian methods for genomics, neuroscience, epidemiology and other complex data problems.
- Chaoxiong (Michelle) Xia — Creates statistical and machine learning methods for insurance, health and actuarial applications.
Actuarial Science and Quantitative Risk
Risk is everywhere — in financial markets, insurance contracts, climate models and public health. Our faculty develop mathematical and statistical frameworks that quantify, manage and price it.
- Lei (Larry) Hua — Develops statistical and actuarial methods for risk management, insurance and financial modeling.
- Yisub Kye — Studies risk modeling, capital allocation, insurance design and financial mathematics.