Recent Senior Theses Advised

  • Josh Klein Valente, An Introduction to Elliptic Curves and Applications in Cryptography (2022: Computer-Science-Mathematics, co-advised with Adam Groce)
  • Holden Saberhagen, Modeling the Integer Quantum Hall Effect (2022: Physcis-Mathematics, mostly advised by Noah Charles)
  • Daniel McFadden, Star Formation Quenching in Centaurus A (2022: Physcis-Mathematics, mostly advised by Alison Crocker)
  • Kiki McBride, Klein Has Me in Stitches! (An Exploration of Mathematical Constructions of the Klein Quartic and Creation of Analogous Crochet Models) (2021)
  • Ryen Burris, Modelling Vibration of Membranes Under Non-Uniform Tension (2021: Physics-Mathematics, almost entirely advised by Joel Franklin)
  • Claire Jellison, Giving by the Numbers: A Study of Peer Effects with Online Crowdfunding (2020: Economics-Mathematics, mostly advised by Tristan Nighswander)
  • Asher Payton, A simple bound state (December 2019: Physics-Mathematics, mostly advised by Andrew Larkoski)
  • Caroline Padula, Surprising Facts About the Thue-Morse Sequence (2019)
  • Nicole Niesen, Quadratic and Biquadratic Reciprocity (2019)
  • Jeremy Rachels, Moduli spaces of polarized abelian varieties and the paramodular group (December 2018)
  • Helen Zhang, Redefining Nucleons: Renormalizing the Creation Operator (2018: Physics-Mathematics, mostly advised by Ragnar Stroberg)
  • Justin Katz, Eigenfunction Decompositions of Function Spaces on Various Physical Domains (2015)
  • Max Carpenter, Quasicrystalline Combs in De Bruijn's Generalized Function Space (2014)
  • Max Del Giudice, Automorphic Forms and the Siegel-Weil Formula (2014)
  • Austin Humphrey, Volume of SLn(Z)\SLn(R) (2014)
  • Laura Lyman, Principal Series of GL(2) Over a Finite Field (2014)
  • Michael George-Hallgren, Toward a Category-Theoretic Construction of the Adeles (2013)
  • Darko Trifunovski Computing the Extreme Core of Siegel Modular Forms (2013)
  • Nadir Hajouji, The Semihull Theorem for Siegel Modular Forms (December 2012)
  • Skye Aaron, Exact Solutions and L2 Differentiation (2012)
  • Seth Just, Functions on the Line (2012)
  • Noah Davidson, Musical Sequences and Dominating Empires: A Study in Aperiodic Tilings (2010)
  • Swaroop Poudel, Financial Systemic Risk: Classification and Measurement (2010: Economics-Mathematics, mostly advised by Jeff Parker)
  • Will Rosenbaum, Analysis on Circles: A Modern View of Fourier Series (2009)
  • Lindsay Deis, Application of Numerical Simulation to the Determination of Half-of-Sites Reactivity (2009: Biochemistry-Mathematics, mostly advised by Ron McClard)
  • Josh Lingerfelt, Retail Electrical Deregulation in Texas (2008: Economics-Mathematics, mostly advised by Lon Peters)
  • Steve McClellan, A Computational Investigation of Kubota Conductors (2008)
  • Rosie O'Connor, A New Derivation of the Formulae for Counting Elliptic Points (2008)
  • Anaiah Krueger, A Brief History of Distribution Theory (2007)
  • Aaron Golden, Triangulations and Circle Packings on Genus-One Tori (2006)
  • John Lind, Theta Lifts of Automorphic Forms (2006)
  • Ben O'Donnell, Temperature-Two Go Endgames (2005)
  • Rachel Epstein, Quotient Cyclic Isogenies of Elliptic Curves (2004)
  • Ryland Bell, Deep Holes in the Leech Lattice (2004)
  • David Rosoff, Algebraic Numbers, Ideles, and Class Field Theory (2002)
  • Angela Sellin, The Unsolvability of Hilbert's Tenth Problem as a Special Case of Godel's Incompleteness Theorem (2002)
  • Alec Austin, Dots and Boxes: A Study in Combinatorial Game Theory (2001)
  • James Terwilliger, An Iterative Approach to Solving the Two-Parameter Quintic Polynomial (1999)
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