• Majors whose last name begins A-G: Stephan Wehrli
• Majors whose last name begins H-M: Leonid Kovalev
• Majors whose last name begins N-Z: Steven Diaz

Leonid Kovalev

Many faculty mentor undergraduates on research projects, reading courses, and capstone or thesis work. The faculty below are open to supervising undergraduate projects. This list is not exhaustive — faculty not listed may also be willing to supervise a project, and availability varies from semester to semester.

• Steven Diaz: Projects in abstract algebra, linear algebra, algebraic geometry, cryptography, and coding theory
• Shukai Du: Projects in numerical analysis, scientific computing, and scientific machine learning, including numerical methods for partial differential equations, computational methods for high-dimensional and multiscale problems, and localized machine-learning surrogates that accelerate simulation. Depending on a student's background, a project may emphasize analysis, algorithm development, computational experiments, or a combination..
• Nicole L. Fonger: Students are welcome in the Meaningful Math Research Group, which meets regularly to design studies, analyze data, present findings in papers and at conferences, and collaborate with local teachers. Students interested in mathematics teaching and learning should email Dr. Fonger to arrange a meeting. 
• Pierre Yves Gaudreau Lamarre: Projects in probability theory and its applications, particularly mathematical physics, and in selected topics in statistics and data science. Possible topics include random matrices, disordered quantum-mechanical systems, and particle diffusions in random environments.
• Justin Ko: Projects in probability and its applications to statistics, machine learning, and statistical physics, including random matrices, high-dimensional inference, spin glasses, and the mathematical foundations of machine learning. Many projects begin with computer simulations, so programming experience is useful.
• Leonid Kovalev: Projects on extremal geometric problems and other topics in real and complex analysis.
• Graham Leuschke: Projects in algebra: rings, modules, fields, Galois theory, group representations, classical groups of matrices, representations of quivers (directed graphs), and linear and multilinear algebra.
• Peixue Wu: Projects at the intersection of mathematics and quantum information theory: quantum state learning, entanglement, quantum channels, and quantum simulation, along with problems in analysis, probability, optimization, and linear algebra motivated by quantum information. Projects may be theoretical, computational, or both. Linear algebra and analysis are expected; coursework in probability, functional analysis, numerical methods, optimization, or programming is helpful.
• Yiming Zhao: Projects in convex geometric analysis in Euclidean space, such as Minkowski problems and isoperimetric problems, for students interested in both analysis and geometry. Depending on a student's interests and strengths, a project may use ODE/PDE methods or discrete optimization; many of the problems can be visualized in two and three dimensions.