Recent Senior Theses Advised
- Astrid Lilly,
An Invitation to Tate's Thesis
(2024)
- Olive Ross,
An Examination of Hinterleitner Doubly Special Relativity
(2024: Physics-Mathematics, almost entirely advised by Joel Franklin)
- Guangyi Zhang,
A Geodesic Journey into the Wormholes
(2024: Physics-Mathematics, almost entirely advised by Joel Franklin)
- 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: Physics-Mathematics, mostly advised by Noah Charles)
- Daniel McFadden,
Star Formation Quenching in Centaurus A
(2022: Physics-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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