### Recent Ph.D. Dissertations

**Ziva Myer, 2017**

A Product Structure on Generating Family Cohomology for Legendrian Submanifolds. Advisor: Lisa Traynor.**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. CV

**Frank Romascavage, 2017**

Explicit Formula for the Mean Square of Dirichlet L-Functions to Prime Power Moduli. Advisor: Djordje Milicevic.**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! CV

**Kathryn Bryant, 2016 **

Slice Implies Mutant Ribbon for Odd 5-Stranded Pretzel Knots. Advisor: Paul Melvin.**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.

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**Eva Goedhart, ****2015**

The Nonexistence of Solutions to Certain Families of Diophantine Equations. Advisor: Helen Grundman.

**Why Bryn Mawr?** I chose Bryn Mawr College 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.

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**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.

**Cahtleen 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 & Formulas for Lescop’s Invariant. Advisor: Paul Melvin.

### Recent M.A. Theses

**Kathryn Bryant, 2013**

**Yolanda Yue Shao, 2013**

**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.