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Recent Ph.D. Dissertations

Lindsay Dever, 2022
Distribution of Holonomy about Closed Geodesics on Compact Hyperbolic 3-Manifolds | Advisor: Djordje Milićević | 

Why Bryn Mawr? I learn best by collaborating with others and explaining what I know. At Bryn Mawr, I am surrounded by people who are excited about math and want to share that with others. It is also a unique opportunity to attend graduate school in a small, liberal arts environment where teaching and research are equally valued.

 

Isaac Sundberg, 2022
The knots so nice they sliced them twice | Advisor: Paul Melvin |

Why Bryn Mawr? I chose to join the Bryn Mawr grad program because of its small, supportive environment that focuses on developing math and teaching skills. However, Bryn Mawr has been much more than a graduate program to me. While here, I have been given the opportunity to discuss social awareness and social justice, which I consider an important part of my education.

 

Daniel White, 2021
On the Distribution of Central Values of Hecke L-functions  | Advisor: Djordje Milićević 

Why Bryn Mawr? Bryn Mawr is focused on the individual experience of its graduate students. In combination with the small size of the program, I find that I'm very comfortable here. The students are genuinely friendly and the faculty exceptionally welcoming.

 

Hannah Schwartz, 2019
Exotic Phenomena in Dimension Four | Advisor: Paul Melvin |

Why Bryn Mawr? I chose Bryn Mawr because it feels like a family. Both the teachers and students in our department are extremely supportive, and there is always someone around to bounce ideas off of. This constant mathematical conversation is my favorite aspect of our department.

 

Danielle Smiley, 2019
Estimates on Oscillatory Singular Integral Operators | Advisor: Leslie Cheng

Why Bryn Mawr? Bryn Mawr offers a unique graduate experience due to the fact that they are a small program. The individualized attention was exactly what I was looking for during my studies. The closeness of the faculty and students helps to enhance a great working and learning environment. On another note, Bryn Mawr and the surrounding area offer great opportunities for attending lectures, seminars, conferences and various events. There are a great many outside resources that supplement the smallness of the program.

 

Samantha Pezzimenti, 2018
Immersed Lagrangian Fillings of Legendrian Submanifolds via Generating Families | Advisor: Lisa Traynor |  | CV

Why Bryn Mawr? Bryn Mawr offers everything I was looking for in a graduate school. Bryn Mawr has an extremely supportive and close-knit environment with an emphasis on both research and teaching. The professors are always willing to help and truly care about your success. 

 

Ziva Myer, 2017
A Product Structure on Generating Family Cohomology for Legendrian Submanifolds​ | Advisor: Lisa Traynor | CV

Why Bryn Mawr? I chose Bryn Mawr because the professors here strike a great balance between excellence in their research and their teaching. I also enjoy studying math at a small liberal arts college. 

 

Frank Romascavage, 2017
Explicit Formula for the Mean Square of Dirichlet L-Functions to Prime Power Moduli​ | Advisor: Djordje Milicevic | CV

Why Bryn Mawr?  I chose Bryn Mawr due to the fact that everyone in the department has created a very healthy environment which focuses equally on excellence in teaching as well as research.  One has to come here to experience it firsthand! 

 

Kathryn Bryant, 2016 
Slice Implies Mutant Ribbon for Odd 5-Stranded Pretzel Knots | Advisor: Paul Melvin | CV

Why Bryn Mawr? I chose Bryn Mawr because of the high level of research coupled with the small, supportive environment. The professors are challenging yet encouraging, the undergraduates are motivated to learn, and there are numerous scholarly opportunities outside of the college in which graduate students can participate; it is the ideal academic environment.

 

Eva Goedhart, 2015
The Nonexistence of Solutions to Certain Families of Diophantine Equations | Advisor: Helen Grundman | CV

Why Bryn Mawr? I chose 91³ÉÈ˶¶ÒôÈë¿Ú because the department feels like a family. It's a small department where everyone matters and everyone wants to see you succeed. The faculty, students, and staff all work really hard to make sure everyone has the tools and resources needed to complete their dissertation. I'm proud to be part of that family.

 

Christopher Micklewright, 2012
Circle-Valued Generating Family Invariants | Advisor: Lisa Traynor.

Matthew Fury, 2010
Continuous dependence on modeling for ill-posed evolution problem | Advisor: Rhonda Hughes.

Jonah Swann, 2010
Relative Knovanov-Jacobsson classes for spanning surfaces | Advisor: Paul Melvin.

Daniel Wisniewski, 2010
Bounding the number of solutions to tetranomial Thue equations | Advisor: Helen Grundman.

Ayako Fukui, 2009
Lp Estimates for Oscillatory Singular Integral Operators and Marcinkiewicz Integral Operators | Advisor: Leslie Cheng.

Cathleen Battiste-Presuitti, 2008
Determining Lower Bounds for Packing Densitites of Non-Layered Patterns Using Weighted Templates | Advisor: Walter Stromquist.

Jennifer Dalton, 2008
Legendrian Torus Links | Advisor: Lisa Traynor.

Sherry Teti, 2008
The Existence of Elliptic periodic Orbits in the Smoothed Bunimovich Stadium | Advisor: Victor Donnay.

Beth Campbell-Hetrick, 2006
Continuous Dependence Results for Inhomogeneous Ill-Posed Problems | Advisor: Rhonda Hughes.

Jill Jordan, 2005
Generating Family Invariants for Legendrian Links | Advisor: Lisa Traynor.

Walter Huddell, 2002
Smooth Approximation of Singular Perturbations of the Laplacian | Advisor: Rhonda Hughes.

Amber Salzman, 2002
The Arithmetic Genus of Threefolds Defined by Extended Hilbert Modular Groups | Advisor: Helen Grundman.

Jean Mastrangeli, 1997
Symplectic Packings of Cotangent Bundles of Tori | Advisor: Lisa Traynor.

Gowri Meda, 1997
Sewn up and Surgered Swen up Link Exteriors: Surgery Presentations and Formulas for Lescop’s Invariant | Advisor: Paul Melvin.
 

Recent M.A. Theses

Avalon Vanis, 2023
On Slice Obstructions for Unknotting Number One Knots | Advisor: Paul Melvin.

Elizabeth Hankins, 2022
Origami with Infinite Folds | Advisor: Victor Donnay.

Ada Marcovitz, 2022
Sums of Products of Kloosterman Sums | Advisor: Djordje Milićević.

Ryann McManus, 2022
Modeling the Effects of Incretins and Circadian Misalignment on Glucose-Insulin Dynamics | Advisor: Erica Graham.

Shefali Ramakrishna, 2022
Numerical Methods in Issues of Sustainability | Advisor: Victor Donnay.

Savannah Williams, 2022
Examining the Dynamics of Ovulatory Disruptions | Advisor: Erica Graham.

Elsa Magness, 2021
An Exposition of the Sato-Tate Conjecture for Elliptic Curves with Complex Multiplication | Advisor: John Bergdall.

AJ Vargas, 2020
A Solution to the Smooth Rectangular Peg Problem via Symplectic Topology | Advisor: Lisa Traynor.

Sophia Schein, 2020
Hecke Operators on Linear Representations Over Finite Fields | Advisor: John Bergdall.

Lindsay Dever, 2019
Non-Spherical Maass Forms on Hyperbolic 3-Manifold | Advisor: Djordje Milićević.

Aisha Mechery, 2019
p-adic Analysis and Supercongruences to Higher Prime Power
Moduli | Advisor: Djordje Milićević.

Cheyenne (Sichen) Zhang, 2019
Distribution of Kloosterman Paths to High Prime Power Moduli | Advisor: Djordje Milićević.

Isaac Craig, 2018
On Fibering 3-manifolds | Advisor: Paul Melvin.

Sarah Gift, 2018
Exploring Oscillatory Integral Operators for Functions in Higher Dimensions | Advisor: Leslie Cheng.

Boyang Su, 2018
Statistics of Perturbed Laplacian Eigenfunctions | Advisor: Djordje Milićević.

Ruoyun Lei, 2017
Cases of Effective Nonvanishing of Dirichlet L-Functions Over Primitive Galois Orbits | Advisor: Djordje Milićević.

Danielle Smiley, 2016
Boundedness of Singular Integral Operators | Advisor: Leslie Cheng.

Madeleine Hanson-Colvin, 2016
Normal Rulings of Legendrian Satellite Knots | Advisor: Lisa Traynor.

Samantha Pezzimenti, 2015
Lagrangian Caps of Legendrian Knots | Advisor: Lisa Traynor.

Hannah Schwartz, 2015
An Introduction to Heegaard Floer Homology | Advisor: Paul Melvin.

Emily Schroeter, 2015
Valuation of Lookback Options | Advisor: Leslie Cheng.

Katherine Engelman, 2014
New Results in Inverse Galois Theory | Advisor: Helen Grundman.

Freda Li, 2014
Stochastic Processes and Valuation of Options | Advisor: Leslie Cheng.

Kathryn Bryant, 2013
Lens Spaces: Classification and Mapping Class Groups | Advisor: Paul Melvin.

Yolanda Yue Shao, 2013
Stochastic Processes and Pricing Derivatives in Continuous Time | Advisor: Leslie Cheng.

Lise Chlebak, 2011
Expansion of Boundedness Results for Certain Oscillatory Integral Operators | Advisor: Leslie Cheng.

Rebecca Rebhuhn-Glanz, 2011
Galois Groups of Certain Polynomials of Prime Degree | Advisor: Helen Grundman.

Amy Veprauskas, 2010
Mathematical Modeling of Malaria | Advisor: Victor Donnay.

Manal Zaher, 2010
On the Boundedness of Certain Oscillatory Integral Operators | Advisor: Leslie Cheng.

Jaclyn Lang, 2009
Properties of Class Groups of a Family of Cyclic Cubic Fields | Advisor: Helen Grundman.

Sarah Khasawinah, 2009
On the Boundedness of Oscillatory Integral Operators in Harmonic Analysis | Advisor: Leslie Cheng.

Amanda Hittson, 2009
Solutions to a Parametrized Family of Relative Thue Equations | Advisor: Helen Grundman.

Aditi Vashist, 2008

Milena Redzic, 2008
A New Proof of the Spectral Theorem | Advisor: Rhonda Hughes.

Wen Gao, 2007
Thomas's Work on Split Families of Cubic Thue Equations | Advisor: Helen Grundman.

Anna Gordon, 2007
Lp Boundedness of Oscillatory Integral Operators | Advisor: Leslie Cheng.

Emily McNabb, 2007
Applications of Heatlets to Ill-Posed Problems | Advisor: Rhonda Hughes.

Kirsten Kemp, 2006

Devasish Majumdar, 2005
Arnold's 4-Cusp Conjecture | Advisor: Lisa Traynor. 

Cristina Nistor, 2005
Tangling Legendrian Knots | Advisor: Paul Melvin.

Emi Arima, 2005
The Arnold Invariants of Plane Curves | Advisor: Lisa Traynor.

Laura Hall, 2004
Class Numbers and Other Numerical Invariants of Imaginary Quadratic Fields | Advisor: Helen Grundman.

Kim Urso, 2004
Morse Theory | Advisor: Lisa Traynor.

Gina Calderaio, 2003
Producing Positive Lyapunov Exponents on the Sphere | Advisor: Victor Donnay.

Ben Allen, 2002
A Simple-Homotopy Classification of Certain CW-Complexes by Reidemeister Torsion | Advisor: Paul Melvin.

Beth Campbell, 2002
Constructing Brownian Motion with Wavelets | Advisor: Rhonda Hughes.

Jane Holsapple, 2002
Chekanov’s Decomposition Invariant for Legendrian Knots | Advisor: Lisa Traynor.

Jill Jordan, 2002
Power Basis Generators in Cyclotomic Fields | Advisor: Helen Grundman.

Rachael Thomas, 2001
Weight Systems | Advisor: Paul Melvin.

Grisha Stewart, 2001
On Galois Realizability of Groups of Order 32 | Advisor: Helen Grundman.