From the income of the gift in 1921 of the late Robert Fletcher Rogers, A.B. 1886, there have been established a first prize and second prize to be awarded annually to the College students who present the best talks before the Mathematics Table during an academic year. In making the awards, emphasis is laid primarily on the excellence of the oral presentation. It is not essential that the material presented is original, but mastery of the subject and adaptation of the presentation is regarded as important. The prizes are awarded by the Department of Mathematics on the recommendation of the Mathematics Table.
First Prize: Daniel Sheremeta '24, "Peg Solitaire on Graphs with Large Diameter."
First Prize: Ivan Specht '24, "Statistical Inference of Finite-Population Galton-Watson Branching Processes."
Honorable Mention: Dora Woodruff '24, "Game of Cones: Jeu de Taquin and Simplicial Complexes."Â
First Prize: Madison Shirazi '23, "Finding Balance in Chaos: Approximating Orthogonal Polynomials on Julia Sets."
Second Prize: Silvia Cascuberta Puig '23, "Finding Simple Models of Complex Objects: From Regularity Lemmas to Algorithmic Fairness."
Honorable Mention: for a group presentation by: Peter Chon '25, William Hu '24, Mark Pekala '24, and Janna Withrow '23, "Lean into Theorem Proving."Â
First Prize: Rebecca Saul '22, "Factoring and the Quadratic Sieve."
Second Prize: Forrest Flesher '22, "From Number Theory to the Solar System."
Honorable Mention: Jessica Shand '22, "Patterns, Play, and Processes: Sounding Topological Graph Theory."
First Prize: Hanna Mularczyk '21, "The Combinatorics of Rhombic Polygon Tilings."
First Prize: Richard Xu '22, "Elliptic Curves and a Problem 95% of People Cannot Solve."
First Prize: Kim Nguyen '21, "Hidden Markov Models as modern day map-makers."
Second Prize: Savvy Raghuvanshi '22, "Strong law of small numbers."
Second Prize: Lucy Wang '20, "Though the Ultrafilter: Dictators and God."
First Prize: Mularczyk, Hanna Lynn, "The Banach-Tarski Paradox."
First Prize: Cameron Krulewski '19, "Vector Bundles and K-Theory."
First Prize: Rohil Prasad '18, "Introduction to Morse Theory."
Honorable Mention: Frid Fu (visiting student), "Surgery with Poincaré manifold as an application."
Honorable Mention:Xavier Gonzalez '18, "The Leech Lattice."
First Prize: Jennifer Hu '18, "Say What?!: Proving the Non-Context-Freeness of Natural Language."
First Prize: Julian Salazar '17, "Algebraic Functions and the Representability Zoo."
First Prize: Hannah Larson '17, "Partition Party."
First Prize: Nat Mayer, "Volume Densities of Hyperbolic Knots."
First Prize: Ashvin Swaminathan '17, "Arboreal Galois Representations."
First Prize: Xiaoyu He '16, "The parity problem in sieve theory."
First Prize: Barry Tng, "Integral geometry and the size of a cookie."
First Prize: Akhil Mathew '14, "Galois groups."
First Prize: Isabel Vogt '14, "What are formal groups and what are they good for?"
First Prize: Lucia Mocz, "What is the Birch and Swinnerton-Dyer Conjecture?"
First Prize: Akhil Mathew, "Finite fields and topology."
First Prize: Dmitri Gekhtman, "Bug Dynamics on Manifolds."
First Prize: Benjamin Edward Dozier '12, "The Julia and Fatou sets of a polynomial map."
First Prize: Caitlin King Stanton '14 , "The Euler Characteristic."
First Prize: Adrian Sanborn, "Scaling Dimensions with Fractal Curves."
Second Prize: Eric Larson, "An Inequality Involving the Perimeter and Curvature of Plane Curve."
Second Prize: Akhil Mathew, "Translation-Invariant Binary Representations."
First Prize: Zhou Fan, "Random Matrices, Catalan Numbers, and Wigner's Semicircle Law."
First Prize: Dmitri Vaintrob, "1+2+3+ ... = -1/12: Values of the Zeta Function at Negative Integers."
First Prize: Zachary Abel, "Hinged dissections exist."
Second Prize: Laura Starkston, "Khovanov homology."
First Prize: Scott Kominers, "C = 15."
Second Prize: Christian Zamora Jaen, "Fermat's Last Theorem."
First Prize: Robin Walters, "Generalizations of the Hexagonal Honeycomb Theorem."
Second Prize: Gerardo Con Diaz, "Cutting and Pasting Doughnuts: Three Ways of Constructing Lens Spaces."
Honorable Mention: Alison Miller, "Exp(pi*Sqrt(163)) and Friends."
First Prize: Gerardo Con Diaz, "Trefoils on your Shoes,Knots, Surfaces and Matrices."
First Prize: Igor Rapinchuk, "Elliptic Curves and Mordell's Theorem."
First Prize: Inna Zakharevich, "Homotopy and Simplicial Sets."
First Prize: Ronen Mukamel, "Four Things You Can Do in the Hyperbolic Plane that Your Parents Couldn't in the Euclidean."
Second Prize: Mike Hamburg, "Compass and Straightedge Constructions for Projectile and Orbital Motion."
Second Prize: Adam Levine, "Word-Hyperbolic Coxeter Groups."
First Prize: Corina Patrascu, "Computing order statistics in the Farey sequence."
Second Prize: Jonathan Bloom, "The Local Structure of Smooth Maps of Manifolds."
First Prize: Andrew Cotton, "Holomorphic curves and minimal surfaces."
First Prize: James Fowler, "Loves Me, Loves Me Not: what you shouldn't do after you dissect a Square into Identical Triangles."
First Prize: Alexander Daniel-Joseph Healy '02, "Zero Knowledge Proofs."
First Prize: Lionel Timothy Levine '02, "Clifford Algebras and Vector Fields on Spheres."
First Prize: Lionel Levine '02, "Iterates of a Spiky Function."
Second Prize: Dan Lee, "Spinors in Mathematics."
Second Prize: Lauren Williams, "Effecient Methods for Almost Proving Things: Techniques from Theoretical Computer Science."
First Prize: Anna Medvedovsky, "Dirichlet's Theorem on Primes in Arithmetic Progressions."
Second Prize: Lauren Williams, "Baby You Can Drive My Car: A Talk on Parking Functions."