Faculty Research Areas

Algebra and Algebraic Geometry

• Stephen McKean: Algebraic and arithmetic geometry
• Pace Nielsen: Ring Theory, Module Theory, and Number Theory
• Nathan Priddis: Algebraic Geometry

Analysis

• Jennifer Brooks: Several Complex Variables and Harmonic Analysis
• Michael Dorff: Geometric Function Theory, Complex Analysis
• Jonas Schober: Functional Analysis, Complex Analysis, Mathematical Physics

Combinatorics and Matrix Theory

• Stephen Humphries: Algebraic Combinatorics, Group Theory, Low-dimensional Topology
• Mark Kempton: Spectral Graph Theory and Combinatorial Matrix Theory

Differential Equations and Dynamical Systems

• Mark Allen: Partial Differential Equations
• Lennard Bakker: Dynamical Systems and Celestial Mechanics
• Davi Obata: Smooth dynamical systems, Ergodic Theory.
• Benjamin Webb:Network Science, Dynamical Systems, Optimization, Machine Learning

Minimal Surfaces

• Gary Lawlor: Minimal Surfaces

Number Theory

• Nickolas Andersen: Analytic number theory, modular forms, & L-functions
• David Cardon: Analytic Number Theory, Complex Analysis
• Jasbir S. Chahal: Number Theory
• Darrin Doud: Algebraic Number Theory, Galois Representations
• Paul Jenkins: Modular Forms and Number Theory
• Xian-Jin Li: Analytic Number Theory
• Stephen McKean: Motives, quadratic forms
• Pace Nielsen: Ring Theory, Module Theory, and Number Theory
• Kyle Pratt: Number Theory, analytic number theory, primes, sieves, L-functions, Diophantine equations

Numerical Analysis and Applied Mathematics

• Blake Barker: Stability of traveling waves, tipping points, and wildfire behavior
• Zachary Boyd: Applied mathematics, network science, and data science
• John Dallon: Mathematical Biology
• Megan Dixon: Mathematical Biology
• Emily Evans: Applied Mathematics, Mathematical Biology, Network Theory, and Data Science
• Christopher Grant: Applied Probability
• Tyler Jarvis: Applied Mathematics, Numerical Algebraic Geometry, Geometry of Machine Learning
• Shane McQuarrie: Applied mathematics, model reduction, data assimilation, uncertainty quantification, scientific machine learning
• Kevin Miller: Mathematics of machine learning, data science, and statistical learning theory
• Jared Whitehead: Applied Mathematics, Climate Change, Natural Hazards, Data Assimilation, Statistical Learning Theory, Inverse Problems

Topology and Geometric Group Theory

• Gregory Conner: Geometric Group Theory, Topology, and Combinatorial Group Theory
• Denise Halverson: Geometric Topology, Geometric Optimization, Mathematics of Origami-Inspired Design
• Mark Hughes: Geometric Topology and Low-dimensional Topology
• Stephen Humphries: Algebraic Combinatorics, Group Theory, Low-dimensional Topology
• Stephen McKean: Homotopy theory
• Curtis Kent: Geometric Group Theory
• Eric Swenson: Geometric Group Theory, Topology