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Active Research Areas

Our faculty and students conduct research in various areas of mathematics.

### Foundations of Mathematics

- Algebraic logic (Nick Galatos)
- Set theory (Natasha Dobrinen)
- Automated deduction (Michael Kinyon, Petr Vojtechovsky)

### Algebra and Number Theory

- Quasigroups and loops (Michael Kinyon, Petr Vojtechovsky)
- Vertex operator algebras (Shashank Kanade, Andy Linshaw)
- Integer partitions (Shashank Kanade)
- Semigroups (Michael Kinyon)

### Analysis

- Functional analysis (Alvaro Arias, Frederic Latrémolière)
- Dynamics (Nic Ormes, Ronnie Pavlov)
- Analysis on graphs (Paul Horn, Mei Yin)
- Statistical mechanics (Mei Yin)

### Topology and Geometry

- Ramsey theory (Natasha Dobrinen),
- Knot theory and the Yang-Baxter equation (Petr Vojtechovsky)
- Noncommutative geometry (Frederic Latrémolière)