Research opportunities and support for undergraduates
Research Opportunities
At UVA Math Department
There is a number of faculty members interested in mentoring undergraduate research:
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Darien Jade Farnham, 401 Kerchof Hall
Research area: Dynamics, topology, logic, and geometric group theory
Background needed: Preferably MATH 4430 and MATH 3354, possibly MATH 4770
Availability: Summer 2025
Project ideas: Applying model theoretic methods to study automorphism groups of manifolds, Dynamics of groups acting on S^1, Bass-Serre theory, The geometry of right-angled Artin groups
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Peter Humphries, 324 Kerchof Hall
Research area: Number theory
Background needed: MATH 3340
Availability: Fall 2025/Spring 2026
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Thomas Koberda, 304 Kerchof Hall
Research area: Group theory, mathematical logic and foundations, dynamical systems
Background needed: Prerequisites depend on the topic, but generally a course in abstract algebra, advanced linear algebra, and real analysis would be required.
Availability: Fall 2025, Spring 2026
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J.D. Quigley, 331 Kerchof Hall
Research area: Algebra, Topology
Background needed: Abstract algebra, algebraic topology for some projects
Availability: Fall 2025/Spring 2026
Outside the Department
There are opportunities to participate in mathematics research at the undergraduate level. In particular, the AMS has compiled a list of summer REUs (Research Experiences for Undergraduates) that are organized at various institutions throughout the US.