Proceedings from the OSU REU Program

Oregon State University has held a National Science Foundation sponsored REU program nearly every summer since 1987. Each year, the students produce a written account of their research projects to be added to the REU proceedings, which can be accessed through the accordion below.

Previous proceedings

Gabriel Gray of University of Dayton, Emily Payne of University of Texas Rio Grande Valley, and Ren Watson of University of Texas Austin (Advisor: Holly Swisher)

Generalized Partition Identities and Fixed Perimeter Analogues

Ling Chen of Occidental College, Isabelle Hernandez of Oregon State University, and Zain Shields of University of California, Berkeley (Advisor: Holly Swisher)

Analogues of Alder-Type Partition Inequalities for Fixed Perimeter Partitions

Liam Armstrong of Oregon State University, Bryan Ducasse of University of Central Florida, and Thomas Meyer of Amherst College (Advisor: Holly Swisher)

A Generalized Alder-Type Partition Inequality

Miles Smith, Clare Spinner, and Hannah Stein, of Occidental College, University of Portland, and Lewis and Brown University (Advisor: Hoe Woon Kim)
An Explicit and Analytical Solution to the Stokes Equations on the Half-Space $\mathbb{R}^{3}_{+}$ with Initial Conditions and Boundary Conditions For Velocity using Integral Transforms

Alex Negrón, Clarice Pertel, and Christopher Wang of Illinois Institute of Technology, Cornell University, and Columbia University (Advisor: Yevgeniy Kovchegov)
Extensions of True Positive Skewness for Unimodal Distributions

Lexi Arlen and Tanner Fromcke of Washington University in St. Louis and Oregon State University (Advisor: Patrik Nabelek)
One-Gap Solutions to the Kaup-Broer System

Tyler Beauregard and Janabel Xia of Truman State University and Massachusetts Institute of Technology (Advisor: Mike Rosulek)
Private Set Intersection: Problems on Sampling from the Intersection

Abigail Ezell, Darwin Nesheim, and Kevin Sweet, of Colorado College, Oregon State University, and Lewis and Clark College (Advisor: Blessing Emerenini)
Mathematical Modeling and Characterization of the Effect of Quorum Sensing Regulated T6SS Killing on Biofilm Structure

Devin Goodwin, Nga Yu Lo, Kristen Maggard, and Miranda Reed of Oregon State University, Macaulay Honors College at Hunter College, University of Virginia, and Western Washington University (Advisor: Juan Restrepo)
Economic Drivers in Modeling Pandemics

Adriana Duncan, Simran Khunger, and Ryan Tamura of Tulane University, Carnegie Mellon University, and University of California, Berkeley (Advisor: Holly Swisher)
Generalizations of Alder's Conjecture via a Conjecture of Kang and Park

Cassandra Williams and Krista Wurscher, of New Paltz State University of New York and University of Oregon (Advisor: Blessing Emerenini)
Mathematical Modeling and analysis of within-host Influenza infection dynamics

Nico Diaz-Wahl, Marcel Hudiani, and Connor Thompson, of Carnegie Mellon University, University of Arizona, and Macalester College (Advisor: Clay Petsche)
Preperiodic Points and Linearization in $p$-adic Dynamics

Justin Bloom and Lalita Devadas, of Oregon State University and Columbia University (Advisor: Mike Rosulek)
Secure Montgomery Multiplication and Repeated Squares for Modular Exponentiation

Savana Ammons, Young Jin Kim, and Laura Seaberg of Harvey Mudd College, Reed College, and Haverford College (Advisor: Holly Swisher)
An Analogue of K-marked Durfee Symbols for Strongly Unimodal Sequences

Nicholas Anderson, Asimina Hamakiotes, and Benjamin Oltsik of San Francisco State University, Macaulay Honors College at Baruch College, and Hamilton College (Advisor: Holly Swisher)
Eta-quotients of Prime or Semiprime Level and Elliptic Curves

Jacqueline Alvarez and Andrew Fisher, of Cal Poly Pomona and Walla Walla University (Advisor: Nathan Gibson)
Approximating Dispersive Materials With Parameter Distributions in the Lorentz Model

Claire Campregher and Jesse Johnson, of Cal State Long Beach and Oregon State University( Advisor: Yevgeniy Kovchegov)
Properties of Level Set Trees of Geometric Random Walks

Karina Cho and Jacob Naranjo, of Harvey Mudd College and Kalamazoo College (Advisor: Ren Guo)
Extensions of Euclidean Relations and Inequalities to Spherical and Hyperbolic Geometry

Brian Frost-LaPlante and Collin Victor, of Cooper Union and the University of Nebraska-Lincoln (Advisor: Juan Restrepo)
Enhancing Models for Gradient Sensing by Chemotaxis and Cell Communication

Joshua Gerstein and Annie Raichev, of Carleton College and the University of California, San Diego (Advisor: Mike Rosulek)
Sustained Memory Complexity for Memory Hard Functions

Kenneth Allen and David DeMark, of the University of Massachusetts, Lowell and Carleton College (Advisor: Clayton Petsche)
Horseshoes, Attractors, and Good Reduction: Dynamics of the P-Adic Henon Map

Catherine Babecki and Geoffrey Sangston, of Penn State University and the University of Miami (Advisor: Chris Jennings-Shaffer)
Rank- and Crank-Like Functions Generated by Bailey Pairs

Estonia Black and Caleb Smith, of the University of Tennessee and Oregon State University (Advisor: Ren Guo)
Strengthened Euler's Inequality in Spherical and Hyperbolic Geometries

Brian Diaz and Erin Ellefsen, of St. Mary's University and Luther College (Advisor: Holly Swisher)
Extending a Catalog of Quantum Modular Forms to an Infinite Class

Anna-Sophia Hirst and Rachel Linder, of California State University, Dominguez Hills and the University of Maryland, Baltimore County (Advisor: Yevgeniy Kovchegov)
Self-Similarity in Level Set Trees of Geometric Random Walks

Ethan Alwaise and Elena Iannuzzi, of Emory University and Vassar College (Advisor: Holly Swisher)
A proof of Mao's Conjectures on Partition Rank Inequalities and an Investigation of Rank Difference Functions

Autumn Asay and Jenia Rousseva, of Oregon State University and Eastern Washington University (Advisor: Yevgeniy Kovchegov)
Alternating Inhomogeneous Quantum Walks on $\Z$

Robert Costa and Patrick Dynes, of Tufts University and Clemson University (Advisor: Clay Petsche)
A $p$-adic Perron-Frobenius Theorem

Jessica Covington and Megan Golbek, of College of Charleston and California State University Monterey Bay (Advisor: Mike Rosulek)
Secure Multiparty Computation

Kai Lei and Melissa Sherman-Bennett, of Simmons College and Bard College at Simon’s Rock (Advisor: Glencora Borradaile)
Large Induced Outerplanar and Acyclic Subgraphs of Planar Graphs

Robert Weber (Advisor: Glencora Borradaile)
Embedded Width, A Variation of Treewidth for Planar Graphs

Nicole Wein (Advisor: Glencora Borradaile)
On Cyclewidth

Alexander Beckwith and Joseph Dickens of Kenyon College and St. Olaf College (Advisor: Clay Petsche)
Finite Dynamical Systems: A Probabilistic Approach

Acadia Larsen and Alexa Rust of Whittier College and University of Washington (Advisor: Holly Swisher)
Inequalities For Positive Rank and Crank Moments of Overpartitions

Gillian Grindstaff and Kevin Wilson of Pomona College and University of Oregon (Advisor: Yevgeniy Kovchegov)
A Model of Coinless Quantum Walks and Quantum Markov Chain Monte Carlo

Proceedings from the OSU REU Program

Proceedings from the OSU REU Program

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