Senior Theses

The following senior theses are available in PDF format (linked below) and in hard copy from the Mathematics Library. For more information, see Senior Thesis Guidelines.

May 2010

Divya Kirti, An Exploration of Transmission on Random Graphs
Thesis Advisor: Richard Durrett, Department of Mathematics

January 2010

Daniel Jack Collins, Generating Sequences of Finite Groups
Thesis Advisor: R. Keith Dennis, Department of Mathematics

May 2009

Kai Fong Ernest Chong, The Weak Order of Coxeter Systems and Combinatorial Properties of Descent Sets
Thesis Advisor: Edward Swartz, Department of Mathematics

Steven Heilman, Homotopies of Eigenfunctions and the Spectrum of the Laplacian on the Sierpinski Carpet
Thesis Advisor: Robert Strichartz, Department of Mathematics

Wei Quan Julius Poh, Properties of Posets in Non-crossing Pairings on Bitstrings
Thesis Advisor: Edward Swartz, Department of Mathematics

May 2008

Jessica Lucille DeGrado, Computing the Gradient of Laplacian Eigenfunctions on the Sierpinski Gasket
(This thesis consists of a joint paper produced with Professor Strichartz and Luke Rogers following Jessica's participation in the department's 2006 REU program.)
Thesis Advisor: Robert Strichartz, Department of Mathematics

Hyun Kyu Kim, Representation Theoretic Existence Proof for Fischer Group Fi_23
Thesis Advisor: Gerhard O. Michler, Department of Mathematics

Rami Mohieddine, Chaos in the Hodgkin-Huxley Equations: The Takens-Bodganov Cusp Bifurcation
Thesis Advisor: John Guckenheimer

May 2007

Yu Tung Cheng, Continued Fractions
Thesis Advisor: Peter Kahn

Timothy David Cramer and Farkhod Eshmatov, Heat Kernel Coefficients for Periodic Schrödinger Operators
Thesis Advisor: Yuri Berest

Rafael Mariano Frongillo, Topological Entropy Bounds for Hyperbolic Dynamical Systems
Thesis Advisor: John Smillie, Department of Mathematics

Yan Yancy Lo, Mathematical Models for Salmonella Transmission Dynamics
Thesis Advisor: Grohn, Cornell Vet School

Evan Jayson Marshak, A Survey of Results Regarding a Computational Approach to the Zeros of Dedekind Zeta Functions
Thesis Advisor: Ravi Ramakrishna, Department of Mathematics

Jeremy Kenneth Miller, Finite Groups Acting on Surfaces as Rigid Motions of Euclidean Space
Thesis Advisor: Allen Hatcher, Department of Mathematics

May 2006

Thomas Franklin Church, The Magnus Representation of the Torelli Group I_{g,1}
Thesis Advisor: Karen Vogtmann, Department of Mathematics

Wai Wai Liu, The Logarithmic Sobolev Constant of Some Finite Markov Chains
Thesis Advisor: Laurent Saloff-Coste, Department of Mathematics

Philip Daniel Owrutsky, Orthogonal Polynomials with Respect to Self-Similar Measures
Thesis Advisor: Robert Strichartz, Department of Mathematics

May 2005

Saúl A. Blanco Rodríguez, Some Results on Combinatorial Game Theory
Thesis Advisor: Michael Morley, Department of Mathematics

Vorrapan Chandee and Tian Tian Qiu, Counting Kneading Sequences
Thesis Advisor: Rodrigo Pérez, Department of Mathematics

Timothy D. DeVries, The Weak Order and Flag h-Vector Inequalities
Thesis Advisor: Edward Swartz, Department of Mathematics

Shawn Drenning, Fractal Analysis: Extending the Domain
Thesis Advisor: Robert Strichartz, Department of Mathematics

May 2004

Vorrapan Chandee and Tian Tian Qiu, Counting Kneading Sequences
Thesis Advisor: Rodrigo Pérez, Department of Mathematics

Matthew J. Hirn, The Refinability of Step Functions
Thesis Advisor: Robert Strichartz, Department of Mathematics

Elizabeth Rach, Power Law Distributions of Gene Family Sizes
Thesis Advisor: Richard Durrett, Department of Mathematics


Last modified:May 6, 2010