**Colin Adams, Williams College**

- “Hyperbolic Knots and Links”

**Ian Adelstein, Trinity College**

- “Can You Hear the Shape of a Drum?”

**Iddo Ben-Ari, University of Connecticut**

- “The Bak-Sneppen Model of Biological Evolution and Related Models”

**Julie Blackwood, Williams College**

- “From Rabies Transmission in Vampire Bats to Coral Reef Conservation: Insights from Mathematical Models”

**Erika Camacho, Arizona State University**

- “The Role of RdCVF in the Health of Cone Photoreceptors”

**Cory Colbert**

- “Results Concerning the Spectrum of Noetherian Rings”

**Diana Davis, Williams College**

- “Lines on Polygon Surfaces”
- “Periodic Paths on the Pentagon”

**Richard De Veaux, Williams College**

- “What is a P-value Anyway?”

**Alexander Diaz-Lopez, Swarthmore College**

- “A Proof of the Peak Polynomial Positivity Conjecture”
- “Coxeter Groups, Root Systems, and Hecke Algebras”

**Courtney Gibbons, Hamilton College**

- “Representations of the Kronecker Quiver”
- “Free Resolutions”

**Leo Goldmakher, Williams College**

- “Refinements of Lagrange’s Four-Squares Theorem”

**Pamela Harris, Williams College**

- “Kostant’s Partition Function”

**Chad Higdon-Topaz, Macalester College**

- “Collective Behavior, Models, and the Unreasonable Effectiveness of Mathematics”

**Trachette Jackson, University of Michigan**

- “Mathematical Biology: An Essential Part of 21st Century Science”

**Stewart Johnson, Williams College**

- “Chaos and Emergent Structures in High Dimensional Dynamics”

**Matkos Katsoulakis, University of Massachusetts, Amherst**

- “Can We Make Mathematical Models More Predictive?”

**Bernhard Klingenberg, Williams College**

- “Modeling Longitudinal Binary Data”

**Haydee Lindo, Williams College**

- “Trace Ideals and Endomorphism Rings”

**Susan Loepp, Williams College**

- “Rings with Strange Properties”

**Steven Miller, Williams College**

- “Problems in Number Theory”
- “From the Manhattan Project to Elliptic Curves: Introduction to Random Matrix Theory”
- “Secrets of the Tax System with Steve Miller: Keep More of your MOOLA”
- “Pythagoras at the Bat: An Introduction to Statistics and Modeling”

**Stephen Moseley ’05 & Charlie Upton ‘08, AthenaHealth**

- “Using Data to Unbreak Healthcare”

**Frank Morgan, Williams College**

- “Soap Bubbles in Spaces with Density”

**Ralph Morrison, Williams College**

- “The Moduli Space of Tropical Plane Curves”

**Bhramar Mukherjee, University of Michigan **

- “How Small Data Can Leverage Big Data”

**Allison Pacelli, Williams College**

- “The Beauty of Numbers, Part I”
- “The Beauty of Numbers, Part II”

**Alicia Prieto Langarica, Youngstown State University **

- “A Mathematical Model of the Effects of Temperature on Human Sleep Patterns”

**Alejandro Sarria, Williams College**

- “Suppression of Singularities in Fluids”
- “On a Proposed Higher-Dimensional Analogue of the Camassa-Holm Equation”

**Cesar Silva, Williams College**

- “What is an Ergodic Transformation?”
- “Conditions Implied by Ergodicity of Cartesian Products”

**Gabriel Sosa, Amherst College**

- “Monomial Orders Uniquely Determined by Their Induced Orders”

**Mihai Stoiciu, Williams College**

- “Random Matrices with Poisson Eigenvalue Statistics”

**Peyam Tabrizian, Williams College**

- “Chemical Reactions and Diffusions”

**Naomi Tanabe, Dartmouth College**

- “Central Values of L-Functions”

S**cott Taylor, Colby College**

- “The Bridge Distance of a Knot”

**Jesse Thorner, Stanford University**

- “An Explicit Bound for the Least Prime Ideal in the Chebotarev Density Theorem”

**Laurie Tupper, Williams College**

- “Classification of Multivariate Time Series Data with Applications to ECIS”

**Maria Vega, United States Military Academy**

- “Hopf Algebras and Twisted Extensions”