Dissertations and Thesis Topics

Dissertations and thesis topics for math graduate students:

Ph.D.

Student Year Title of Dissertation Adviser
Schwartz, Hannah 2019 Exotic Phenomena in Dimension Four Melvin
Smiley, Danielle 2019 Estimates on Oscillatory Singular Integral Operators Cheng
Pezzimenti, Samantha 2018 Immersed Lagrangian Fillings of Legendrian Submanifolds via Generating Families Traynor
Myer, Ziva 2017 A Product Structure on Generating Family Cohomology for Legendrian Submanifolds Traynor
Romascavage, Frank 2017 Explicit Formula for the Mean Square of Dirichlet L-Functions to Prime Power Moduli Milićević
Bryant, Kathryn 2016 Slice Implies Mutant Ribbon for Odd 5-Stranded Pretzel Knots Melvin
Goedhart, Eva 2015 The Nonexistence of Solutions to Certain Families of Diophantine Equations Grundman
Micklewright, Christopher 2012 Circle-Valued Generating Family Invariants Traynor
Wisniewski, Daniel 2010 Bounding the Number of Solutions to Tetranomial Thue Equations Grundman
Swann, Jonah 2010 Relative Khovanov-Jacobsson Classes for Spanning Surfaces Melvin
Fury, Matthew 2010 Continuous Dependence on Modeling for Ill-Posed Evolution Problems Hughes
Fukui, Ayako 2009 Lp Boundedness of Oscillatory Singular Integral Operators Cheng
Teti, Sherry 2008 The Existence of Elliptic Periodic Orbits in the Smoothed Bunimovich Stadium Donnay
Dalton, Jennifer 2008 Legendrian Torus Links Traynor
Battiste-Presutti, Cathleen 2008 Determining Lower Bounds for Packing Densities of Non-Layered Patterns Using Weighted Templates Stromquist

M.A.

Student Year Title of Thesis Adviser
Dever, Lindsay 2019 Non-Spherical Maass Forms on Hyperbolic 3-Manifolds Milićević
Craig, Isaac 2018 On Fibering 3-manifolds Melvin
Smiley, Danielle 2016 Boundedness of Singular Integral Operators Cheng
Schwartz, Hannah 2015 An Introduction to Heegaard Floer Homology Melvin
Pezzimenti, Samantha 2015 Lagrangian Caps of Legendrian Knots Traynor
Bryant, Kathryn 2013 Lens Spaces:  Classification and Mapping Class Groups Melvin
Mansfield, Laura 2010 Generating Family Constructions of Capacities and Applications Towards Partial Orderings Traynor
Paola, Joseph 2008 BMO Spaces Cheng