Research Experiences for Undergraduates at the University of Virginia

As of Fall 2020, there is a number of faculty members interested in mentoring undergraduate research:

- Julie Bergner, 319 Kerchof Hall

**Research area: Topology, algebra, combinatorics**

Background needed: Flexible; General Topology and/or Survey of Algebra needed for some projects

- Juraj Földes, 322 Kerchof Hall

**Research area: Analysis, Differential equations, Probability**

Background needed: Real analysis or other proof based course, Probability, Differential equations

*Availability: Fall 2022/Spring 2023*

- Evangelia Gazaki, 221 Kerchof Hall

**Number theory**

*Availability: Fall 2022/Spring 2023*

- Peter Humphries, 324 Kerchof Hall

**Research area: Number theory**

Background needed: MATH 3340

*Availability: Fall 2022/Spring 2023*

- You Qi, 305 Kerchof Hall

**Research area: Representation Theory, quantum topological invariants of manifolds**

Background needed: Abstract Algebra and/or some familiarity with algebraic topology

*Availability: Fall 2022/Spring 2023*

- J.D. Quigley, 331 Kerchof Hall

**Research area: Algebra, Topology**

Background needed: Abstract algebra, algebraic topology for some projects

*Availability: Fall 2023/Spring 2024* - Ken Ono, 228 Kerchof Hall

**Research area: Number theory**

Background needed: Abstract algebra, real and complex analysis

*Availability: Fall 2022/Spring 2023*

- Brandon Shapiro, 311 Kerchof Hall

**Research area: Topology, category theory**

Background needed: Some topology, algebra, or functional programming

*Availability: Fall 2023/Spring 2024*

- Daniel Slonim, 131 Kerchof Hall

**Research area: Number theory, directed graphs, random walks**

Background needed: Proficient in proof writing, a strong understanding of Math 3100 is essential, concepts from 3310, 4110, and 4310 would be beneficial

*Availability: Fall 2023/Spring 2024*

- Mark Pengitore, 303 Kerchof Hall

**Research area: Geometric group theory**

Background needed: Group theory, metric geometry, and algebraic topology

*Availability: Fall 2022*

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.

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