The Construction of the Real Numbers Undergraduate: Sophie Cohen Graduate: Mostafa Mirabi Reference:

Computational Complexity Undergraduate: Asya Vitko Graduate: Mitchell Riley Reference:

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