## Spring 2019

** Combinatorial Game Theory**Undergraduate: Joe Mescall

Graduate: Mitchell Riley

Reference: Winning Ways for your Mathematical Plays by Berlekamp, Conway and Guy

** Discrete Geometry**Undergraduate: Sam Petersen

Graduate: Noelle Sawyer

References:

*Discrete and Computational Geometry*by S. Devadoss and J. O’Rourke,

*A Graph Partitioning Model of Congressional Redistricting*by S. Doyle in the Rose-Hulman Undergraduate Mathematics Journal, and

*Applying Voronoi Diagrams to the Redistricting Problem*by L. Svec et al. in UMAP.

**Ergodic Theory
**Undergraduate: Nicole Zalewski

Graduate: Andre Oliveira

Reference:

*Ergodic Theory with a view towards Number Theory*by M. Einsiedler and T. Ward

**Quadratic Forms**

Undergraduate: Yaqian Tang

Graduate: Freda Li

Reference: *Quadratic Forms lecture notes *by Wai Kiu Chan

## Fall 2018

**Contined Fractions
**Undergraduate: Sam Bidwell

Graduate: Andre Oliveira

Reference:

*Continued Fractions,*by Ya. Khintchine

**Down with Determinants!!
**Undergraduate: Thomas Hanes

Graduate: Lisa Kaylor

Reference:

*Down with Determinants!,*by Sheldon Axler

**The Development of Hyperbolic Geometry
**Undergraduate: Winona Murphy

Graduate: Noelle Sawyer

Reference:

*Euclidean and Non-Euclidean Geometries: Development and History*, by Marvin Greenberg