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For PhD Thesis, see here. This page is about Senior
thesis. In order that senior thesis produced by Harvard math students are easier for other undergrads to benefit from, we would like to exhibit more senior theses online (while all theses are available through Harvard university archives, it would be more convenient to have them online). It is absolutely voluntary, but if you decide to give us your permission, please send an electronic version of your thesis to cindy@math. The format can be in order of preference: DVI, PS, PDF. In the case of submitting a DVI format, make sure to include all EPS figures. You can also submit Latex or MS word source files. If you are looking for information and advice from students and faculty about writing a senior thesis, look at this document. It was compiled in May and June 2015 from comments of students and faculty in preparation for, and during, an information session. Let Rosalie Belanger-Rioux ([email protected]) know if you have any questions not addressed in this advice document. |
| Lawrence Cabusora '04 | Diophantine Sets, Primes, and the Resolution of Hilbert’s 10th Problem | |
|---|---|---|
| Kevin Chan '04 | Uniformization of Riemann Surfaces | |
| Jayce Getz '04 | Classical and p-adic modular forms arising from the Borcherds exponents of other modular forms | |
| Dimitar Jetchev '04 | Visible Elements of the Shafarevich-Tate Group | |
| Seth Kleinerman '04 | On The Torsion Points of Elliptic Curves & Modular Abelian Varieties | |
| Richard Rivero '04 | States, Link Polynomials, and the Tait Conjectures | |
| Alexander Schwartz '04 | Elliptic Curves, Group Schemes and Mazur's Theorem | |
| Jonathan Michael Bloom '04 | The local structure of smooth maps on manifolds | ,|
| Gabriel Carroll '05 | Formal Properties of Categorial Grammars | |
| Adam Simon Levine '05 | Quasiconvexity in Word-Hyperbolic Coxeter Groups | |
| Ian Le '05 | Tangent Lines to Curves Arising from Automorphic Distributions | |
| Emily Riehl '06 | Lubin-Tate Formal Groups and Local Class Field Theory | |
| Elena Yudovina '08 | Ratner's Theorems and The Oppenheimer Conjecture | |
| Dustin Clausen '08 | The Springer Correspondence | |
| Silas Richelson '08 | Classifying Varieties with Many Lines | |
| Alex Waldron '08 | Fano Varieties of low-degree smooth hypersurfaces and unirationality | |
| Alison Miller '08 | Explicit class field theory in function fields: Gross-Stark units and Drinfeld modules | |
| Sam Lewallen '08 | The Volume Conjecture | |
| Joseph Armao IV '09 | Evolutionary Game Dynamics, Cooperation and Costly Punishment | |
| John Cobb '09 | An Introduction to Reverse Mathematics | |
| Hilary Finucane '09 | Worst-Case and Average-Case Floating Codes for Flash Memory | |
| Kelley Harris '09 | >On the Dynamics of Prebiotic Evolution | |
| John Lesieutre '09 | The Knot Concordance Group | |
| Yakir Reshef '09 | On Resilient and Exposure-Resilient Functions | |
| Shrenik Shah '09 | Framed Deformation and Modularity | |
| Jeremy Booher'10 | The Spirit of Moonshine: Connections between the Mathieu Groups and Modular Forms | |
| Zhou Fan '10 | Global and Local Limit Laws for Eigenvalues of the Gaussian Unitary Ensemble and the Wishart Ensemble | |
| Daniel Litt '10 | Introduction to Hodge-type Structures | |
| Laura Starkston '10 | Contact Structures and Classifications of Legendrian and Transverse Knots | |
| Michael Viscardi '10 | Alternate Compactifications of the Moduli Space of Genus One Maps | |
| Nicholas Wage '10 | Evolutionary Games on Structured Populations under Weak Selection | |
| Jonathan Wang '11 | The Moduli Stack of G-Bundles | |
| Rebecca Resnick '11 | Finding the best model for continuous computation | |
| Brent Ho '11 | Some constructions of irreducible representations of generic Hecke algebras of type An | |
| Roxana Feier '12 | Methods of proof in random matrix theory | |
| Benjamin Dozier '12 | Classification and Structure of Periodic Fatou Components | |
| Alex Kunkel '12 | Étale Fundamental Group: An Exposition | |
| Eva Belmont '12 | Stable Homotopy and the J-Homomorphism | |
| Rachel Zax '12 | Simplifying Complicated Simplicial Complexes: Discrete Morse Theory and its Applications | |
| Krishna Dasaratha '13 | The Reducibility and Dimension of Hilbert Schemes of Complex Projective Curves | |
| Eric Larson '13 | The Maximal Rank Conjecture for Sections of Curves | |
| Christian Anderson '13 | Defining physics at imaginary time: reflection positivity for certain Riemannian manifolds | |
| Jack Latta '14 | Large graphs and the relationship between edge and triangle density | |
| Geoffrey Lee '14 | The Classification of Topological Quantum Field Theories in Two Dimensions | |
| Levent Alpoge '14 | The Average Elliptic Curve Has Few Integral Points | |
| Akhil Mathew '14 | The Galois Group of a Stable Homotopy Theory | |
| Felix Wong '14 | Quantum Ergodicity and the Analysis of Semiclassical Pseudodifferential Operators | |
| Marina Lehner '14 | Kan Extensions as the Most Universal of the Universal Constructions | |
| Ryan Patrick '15 | The Grothendieck-Riemann-Roch Theorem . | |
| Barry Jia Hao Tng '15 | How big is that cookie? The integral geometric approach to geometric quantitites. | |
| Theo McKenzie '15 | Real Stable Polynomials: Description and Applications | |
| Seth Viren Neel '15 | Mahalanobis Matching and Equal Percent Bias Reduction | |
| Alexander Makelov '15 | Expansion in lifts of graphs | |
| Arpon Rakit '15 | Characters in global equivariant homotopy theory | |
| Evan O'Dorney '15 | Rings of small rank over a Dedekind domain |
Thesis 2015
| Dalal, Rahul | H T Yau | Edge Universality for Random Matrices through the Method of Steepest Descent |
| Eur, Christopher | Melody Chan | An Introduction to Toric Varieties |
| Gavin, Nicholas | Neil Shephard, Sukhada Fadnavis | Pricing Variance, Covariance and Correlation Swaps Using Time-Deformed Levy Processes |
| Makelov, Aleksandar | Salil Vadhan, Curt McMullen | Expansion in Lifts of Graphs |
| Mackereth, Stephen | Peter Koellner | Ramsey's Theorem for Pairs is Incomparable with Weak Konig's Lemma |
| McKenzie, Theo | Peter Csikvari, Sukhada Fadnavis | Real Stable Polynomials: Description and Application |
| Monks, Keenan | Harry Lewis | The Linear Sampling Problem in 2 Dimensions |
| Pfeffer, Joshua | HT Yau | Dyson Brownian Motion and Local Quantum Unique Ergodicity for the Generalized Erdos-Renyi Ensemble |
| Proulx, Michael | Cliff Taubes | An Introduction to Virtual Knot Topology and Khovanov Homology Theory |
| Raskit, Arpon | Jacob Lurie | Characters in Global Equivariant Homotopy Theory |
| Ryan Patrick | Igor Rapinchuk | The Grothendieck-Riemann-Roch Theorem |
| Tng, Barry | Oliver Knill | How big is that Cookie? The Integral Geometric Approach to Geometrical Quantities |
| Yuan, Allen | Mike Hopkins | The Burnside Category and Equivariant Stable Homotopy Theory |
| ODorney, Evan | Benedict Gross | Rings of small rank over a Dedekind domain |
Thesis 2014
| Alpoge, Levent | Jacob Tsimerman | The Average Elliptic Curve Has Few Integral Points |
| Balasubramanian, Anirudha | Curt McMullen | Self Avoiding Walks: Counting and Criticality |
| Cuipan, Andre | Eric Maskin | Efficient Auctions with Common Values |
| Cooney, Daniel | Cliff Taubes | Rock -Paper-Scissors: An Application of Evolutionary Game Theory to Electoral Politics |
| Dai, Irving | Cliff Taubes | An Introduction to Contact Topology: Foliation Theory and the Classification of Overtwisted Contact Structures |
| Goldberg, Gabriel | Peter Koellner | Reflection Properties of the Largest Large Cardinals |
| Latta, Jack | Sukhada Fadnavis | Large Graphs and the Relationship Between Edge and Triangle Density |
| Lee, Geoffrey | Jacob Lurie | The Classification of Topological Quantum Field Theories in Two Dimensions |
| Lehner, Marina | Emily Riehl | "All Concepts are Kan Extensions" Kan Extensions as the Most Universal of the Universal Constructions |
| Li, Changlin | Nate Ackerman | Noncomputable Isomorphism Types Computable Relative To All noncomputable Sets |
| Mathew, Akhil | Mike Hopkins | The Galois Group of a Stable Homotopy Theory |
| Postema, Jacob | Dick Gross | The Kronecker-Weber Theorem an Exploration of Algebraic Number Theory |
| Ruescher, Joseph | Nate Ackerman | Zero-One Laws and Limiting Structures |
| Stanton, Caitlin | Dick Gross | An Introduction to L functions and their Applications |
| Stock, Chris | Cliff Taubes | Random Walk Processes and Stochastic Differential Equations with Applications in Neuroscience |
| Vogt, Isabel | Dick Gross | The Lubin-Tate Deformation Space of Formal Groups |
| Wong, Felix | Cliff Taubes | Quantum Ergodicity and the Analysis of Semiclassical Pseudodifferential Operators |
| Sheridan, John | Joe Harris | An Investigation of Schubert Calculus |
Thesis 2013
| Rediet Abebe | Mike Hopkins, Richard Stanley | Plethysm of Schur Functions and Irreducible Polynomial Representations of the Complex General Linear Group |
| Christian Anderson | Arthur Jaffe | Defining physics at imaginary time: reflection positivity for certain Riemannian manifolds |
| Ben Adlam | H T Yau | |
| Baek, Gye Hyun | Rachel Epstein | The Online Bipartite Matching Problem |
| Ashok Cutkosky | Erez Lieberman Aiden | Polymer Simulations and DNA T |
| Krishna Dasartha | Joe Harris | The Reducibility and Dimension of Hilbert Schemes of Complex Projective Curves |
| Gurbir Dhillon | Dennis Gaitsgory | The Verdier Duality (for dummies) |
| Tony Feng | Mark Kisin | Hodge-Tate Theory |
| Amy (Qian) Huang | Sukhada Fadnavis | Chromatic Polynomials: An Exposition |
| Michael Jemison | Mike Hopkins | Quantum Variants of 3- Manifolds |
| Yacoub Kureh | Vaibhav Gadre | Perron-FrobeniusTheorem: Background, Proof and Applications |
| Eric Larson | Joe Harris | The Maximal Rank Conjecture for Sections of Curves |
| Lucia Mocz | Mark Kisin | Birch and Swinnerton-Dyer conjecture for Rank 0 and 1 Elliptic Curves over Q |
| Elena-Madalina Persu | Leslie Valiant | Computational Learning Methods for Evolution |
| Sarwar, Arush | H T Yau | Way of the Wavelet: Time-frequency Localization |
| Sealfon, Adam | Salil Vadhan | Fault Tolerant Graph Spanners |
Thesis 2012
| Osber Bastani | Barry Mazur | Homomorphic Encryption Schemes |
| Eva Belmont | Michael Hopkins | Stable Homotopy and the J-Homomorphism |
| Utsav Bhat | H. T. Yau | Limiting Spectral Distributions of Large Random Covariance Matrices |
| Tiffany Cai | Joe Rabinoff | Finite Group Schemes |
| John Casale | Cliff Taubes | Classification of Compact, Connected Surfaces |
| Benjamin Dozier | Sarah Koch | Classification and Structure of Periodic Fatou Components |
| Roxana Feier | Michael Brenner | Methods of Proof in Random Matrix Theory |
| Hallie Glickman-Hoch | Kristen Wicklegren | |
| Jeffrey Kalmus | H.T. Yau | The Long-run Behavior of Sinai's Random Walk in Random Environment |
| Alexander Kunkel | Kirsten Wicklegren | Etale Fundmental Group |
| Weiping Spencer Liang | Michael Hopkins | Spectral Sequences and the Stable Homotopy Group of Spheres |
| Philip Mocz | Andrew Cotton-Clay | The Poincare-Birkhoff Fixed Point Theorem and Periodic Orbits in the Restricted Three-body Problem |
| Ellen Rice | Martin Nowak & Cliff Taubes | The Dynamics of Intermittent Latent Reservoir Stimulation as a Tool for Eradication of Human Immunodeficiency Virus (HIV) Infection |
| Paul VanKoughnett | Michael Hopkins | On Two Non-Quillen-Equivalent Stable Model Categories with Triangle-Equivalent Homotopy Catgories |
| Zhuo Aubrey Yang | Yum Tong Siu | Primes in Arbitrarily Long Arithmetic Progression |
| Rachel Zax | Michael Hopkins | Simplifying Complicated Simplicial Complexes: Discrete Morse Theory and its Applications |
| Lin Zhai | Scott Sheffield MIT and H. T. Yau | Internal Diffusion Limited Aggregation and the Divisible Sandpile |
| Zhang, Yu | Cliff Taubes | From Penrose Tiles to Islamic Architecture, Aperiodic Tiling and Its Construction |
Thesis 2011
| Iurie Boreico | Benedict Gross | Relative Elliptic Curves |
| Kevin Donoghue | Cliff Taubes | An Introduction to Morse Homology |
| Sherry Gong | Dennis Gaitsgory | On Cyclic Homology |
| Francois Greer | Joe Harris | Hurwitz Moduli |
| Brent Ho | Barry Mazur | Some Constructions of Irreducible Representations of Generic Hecke Algebras of Type An |
| Yannik Pitcan | Paul Bourgade | Finite Markov Chain Mixing Time Analysis Using the Logarithmic Sobolev inequalities |
| Rebecca Resnick | Gerald Sacks | Finding The Best Model For Continuous Computation |
| Adrian Sanborn | Sarah Koch | Scaling Dimensions with Fractal Curves and applications to DNA folding |
| Arnav Tripathy | Joe Harris | Rational Connectivity |
| Dmitry Vaintrob | Michael Hopkins | Prime Isogenies of Elliptic Curves Over Arbitrary Number Fields |
| Jonathan Wang | Dennis Gaitsgory | The Moduli Stack of G-Bundles |
Thesis 2010
| Zachary Abel | Salil Vadhan | Lattice Tensor Constructions in the Complexity of the Shortest Vector Problem |
| Onur Alper | Horng-Tzer Yau | The Navier-Stokes Problem: An Introduction |
| Jeremy Booher | Benedict Gross | The Spirit of Moonshine: Connections between the Mathieu Groups and Modular Forms |
| Jonathan Brito | John Hall | An Introduction to Geometric Invariant Theory |
| Zhou Fan | Horng-Tzer Yau | Global and Local Limit Laws for Eigenvalues of the Gaussian Unitary Ensemble and the Wishart Ensemble |
| Ernest Fontes | Michael Hopkins | Hopkins A General descent approach for the Picard group of A(1) |
| Jesse Geneson | Warren Goldfarb | Entscheidungsproblem: solvability of the extended Ackermann-Denton-Kostyrko class with identity |
| Daniel Litt | Wilfred Schmid | Introduction to Hodge-type Structures |
| Andrew Schlafly | Gerald Sacks | Partial Recursive Functions in Zermelo-Fraenkel Set Theory |
| Laura Starkston | Andrew Cotton-Clay | Contact Structures and Classifications of Legendrian and Transverse Knots |
| Yi Sun | Dennis Gaitsgory | Frobenius Splitting for Schubert Varieties |
| Ameya Velingker | Joseph Harris | Series Expansions Arising from Gelfand Pairs and their Spherical Functions |
| Michael Viscardi | Joseph Harris | Alternate Compactifications of the Moduli Space of Genus One Maps |
| Nicholas Wage | Martin Nowak | Evolutionary Games on Structured Populations under Weak Selection |
| Olga Zverovich | Salil Vadhan | The Minimum Assignment Problem |
| Harrison Pugh | Sarah Koch | Applications of Differential Chains to Complex Analysis and Dynamics |
Thesis 2009
| Joseph Armao | Martin Nowak | Evolutionary Game Dynamics Cooperation, and Costly Punishment |
| Kevin Carde | Lauren Williams | Symmetric Functions, Hook Expansions, and the Hook Formula |
| John Cobb | Warren Goldfarb (Phil) | An Introduction to Reverse Mathematics |
| Grant Dasher | Greg Morrisett (CS) & Cliff Taubes | The Effects of Dependency: Combining Dependent Types and Effectful Computation |
| Alexander Dubbs | M.Brenner(SEAS) | Algorithms on Groups and Graph Isomorphism |
| Hilary Finucane | Michael Mitzenmacher | Worst-Case and Average-Case Floating Codes for Flash Memory |
| Kelley Harris | Irene Chen (Sys.Bio) and Cliff Taubes | On the Dynamics of Prebiotic Evolution |
| Scott Kominers, | Noam Elkies | Weighted Generating Functions & Configuration Results for Type II Lattices and Codes |
| John Lesieutre, | Peter Kronheimer | Slice Knots and the Concordance Group |
| Samuel Lichtenstein, | Dennis Gaitsgory | Vanishing cycles for algebraic D-Modules, |
| Shira Mitchell, | Joe Blitzstein (Stat) | Semiparametric Survival Models with Applications to HIV |
| Gilbert Moss | Toby Gee | Chebotarev's Theorem and Artin L-Functions |
| Charles Nathanson | Martin Nowak | Evolution of Cooperation in Structured Pupulations under Weak Selection |
| Yakir Reshef | Salil Vadhan (EECS) | On Resilient and Exposure-Resilient Functions |
| Shrenik Shah | Richard Taylor | Framed Deformation and Modularity |
| NIke Sun, | Wilfried Schmid & Yum Tong Siu | Conformally Invarinat Scaling Limits in Planar Critical Percolation |
| Matthew Tai, | Shlomo Sternberg | The Topology of the Energy-Momentum Level Sets for the Lagrange Top |
| Neal Wadhwa | Martin Nowak | Update Rules in Graph-Structures Populations |
Thesis 2008
| Bae Justin | Peter Kronheimer | The Classification, Construction, and Application of Symplectic Manifolds |
| Candelori Luca | Barry Mazur Samit Dasgupta | Modular Curves and Mazur's Theorem |
| Chao Connie | Cliff Taubes Attila Ambrus (Econ) | Coalitional Reasoning in Normal Form Games |
| Clausen Dustin | Dennis Gaitsgory | The Springer Correspondence |
| Con Diaz Gerardo | Cliff Taubes | Kirby Diagrams |
| Goodman Elizabeth | Veronique Godin | Essential Cohomology Operations |
| Hendriks Kristen | Veronique Godin | Morse Theory and the Bott Periodicity Theorem |
| Lewallen Sam | Peter Kronheimer | The Volume Conjecture |
| Miller Alison | Samit Dasgupta | Explicit class field theory in function fields: Gross-Stark units and Drinfeld modules |
| Richelson Silas | Joe Harris | Classifying Varieties with Many Lines |
| Tang Tina | Martin Nowak | Hidden Markov Models and Dynamic Programming Algorithms in Bioinformatics |
| Waldron Alex | Joe Harris | Fano Varieties of Low-Degree Smooth Hypersurfaces and Unirationality |
| Walters Robin | Thomas Lam | Quantum Groups |
| Wang Irena | Benedict Gross | Analogies between Elliptic Curves and Drinfeld Modules |
| Yudovina Elena | Daniela Damjanovic | Ratner's Theorems and the Oppenheim Conjecture |
Thesis 2007
| Bass Jared | Barry Mazur | Asymptotic Behavior in Coding Theory |
| Ellis Alexander | Clifford Taubes | Spin Geometry on Surfaces |
| Fontes Lila | Peter Koellner (Phil) | Independence Results for Peano Arithmetic |
| Gardiner Daniel | Denis Gaitsgory | Div Pic and Representability |
| Goodman Danny | Robert Strain | A Survey of Some Partial Existence and Regularity Results for the Incompressible Navier-Stokes Equations on R3 |
| Jackson-Hanen David | Peter Kronheimer | The Seiberg-Witten Equations and Four-Manifolds |
| Jerison Daniel | H.T. Yau | Derivation of the Hartree energy functional for bosons with mean-field interaction |
| Levin Alex | Noam Elkies | Modular Forms and Sums of Squares Formulas |
| Lewis Joel | Thomas Lam | On Differential Posets |
| Lipson Mark | Clifford Taubes, Jeremy Gunawardena | Differential and graphical approaches to multistability in chemical reaction networks |
| Morgan Emily | Rani Nelken | Generalizing Synchronism to Linear Context-Free Rewriting Systems |
| Nakhoul Hani | Andreea Nicoara | Subelliptic Estimates and Finite Type for the delta-Neumann Problem on Cn |
| Nguyen Tien Anh | John Dunacan | Modular Invariance of Characters of Rational Vertex Operator Algebras |
| Papaioannou Athanasios | Michael Hopkins | Iwasawa Theory and the Stable Homotopy Category |
| Preygel Anatoly | Joe Harris | Degrees of Severi Varieties |
| Rapinchuk Igor | Barry Mazur | Elliptic Curves with Complex Multiplication and Kronecker's Jugendtraum |
| Seshadri Goutham | Martin Nowak | Consanguinity on Weighted Digraphs |
| Slavov Kaloyan | Samit Dasgupta | Gross-Stark Units for Totally Real Number Fields |
| Todorova Sonia | Veronique Godin | The Alexander Polynomial for Knots |
| Von Korff Michael | Peter Kronheimer | The Computational Complexity of the Jones Polynomial |
| Zhang Yan | Lauren Williams | An Introduction to Cluster Algebras |
Thesis 2006
| Balakrishnan Jennifer | Benedict Gross Samit Dasgupta | CM Constructions for Elliptic Curves |
| Catlin Michael | Noam Elkies | A Proof of the Mordell-Weil Theorem |
| Corwin Ivan | Wilfried Schmid | Automorphic Distributions From Cocompact Fuchsian Groups |
| Fithian William | Dennis Gaitsgory | The Riemann-Roch Theorem and Serre Duality for Algebraic Function Fields |
| Ganatra Sheel | Peter Kronheimer | Einstein Metrics on 4-Manifolds and Seiberg-Witten Theory |
| Gerasimov Timofei | Jose Blanchet (Stat) | Using Affine Processes to Price Defaultable bonds in an Intensity-Based Framework |
| Hurder Stephanie | Drew Fudenbereg (Econ) | Interdependent Preferences and the Universal Type Space |
| Le Jenna | Barry Mazur | The Structure of the Filtration of Ramification Groups for a Galois Extension of Local Fields |
| Liu Ricky | Joseph Harris | Specialization of Linear Systems of Plane Curves |
| Tarnita Corina | Joseph Harris | The Fano Variety of Lines on a Hypersurface and the Debarre-De Jong Conjecture |
| Patrikis Stefan | Richard Taylor | Lifting Symplectic Galois Representation |
| Riehl Emily | Francesco Calegari | Lubin-Tate Formal Groups and Local Class Field Theory |
| Rozenblyum Nikita | Michael Hopkins | Motivic Homotopy Theory and Power Operations in Motivic Cohomology |
| Valiant Gregory | Mike Mitzenmacher (Comp) | The Inefficiency of Selfishness in Network Routing |
| Zakharevich Inna | Michael Hopkins | Model Category Structures on sC |
Thesis 2005
| Daniel Almog | Noam Elkies | The Periodicity of the positions of a fixed Grundy value in certain poset games |
| Benjamin Bakker | Shing-Tung Yau | Toric Varieties and Mirror Symmetry |
| John Carlsson | Todd Zickler | A Mathematical Method for Musical Handwriting Recognition |
| Gabriel Carroll | Clifford Taubes | Formal Properties of Categorial Grammars |
| Andrew Chi | Dylan Thurston | A Topological Understanding of the AGM Iteration |
| Michael Chiappa | Paul Bamberg | Probalistic Algorithms Hash Functions and Spell Checking |
| Samuel Ganzfried | Avi Pfeffer (CS) | Computing Nash Equilibria in Two Player Strategic Form Games |
| Jeff Hammerbacher | Tomaso Poggio | Concentration and Stability in Statistical Learning Theory |
| Andrei Jorza | William Stein | The Birch and Swinnerton-Dyer Conjecture for Abelian Varieties over Number Fields |
| Ian Le | Wilfried Schmid | Tangent Lines to Curves Arising from Automorphic Distributions |
| Adam Levine | Dylan Thurston | Quasiconvexity in Word-Hyperbolic Coxeter Groups |
| Danielle Li | William Stein | Proving Mordell-Weil: A Descent in Three Parts |
| Arik Motskin | L. Valiant | Graph Planarity Kuratowski's Theorem and Planarity-Testing Algorithms |
| Ronen Mukamel | Dylan Thurston | Classifying Spaces for Riemann Structures on Smooth Surfaces |
| Daniel Rosenbloom | P.Koellner | Borel Selections and Set-Theoretic Abstraction |
| Jennifer Sinnott | Frank Calegari | On Stickelberger's Theorem, Herbrands's Theorem and Irregular Primes |
| Tseno Tselkov | Richard Taylor | A Modular Proof of the Class Number One Problem |
| Kartik Venkatram | Tom Coates | On the Number of Plane Conics through Five Points |
| Stephen Walker | A.Dempster | On the Use of Fuzzy Logic in Cluster Analysis |
Thesis 2004
| Jonathan Bloom | Peter Kronheimer | The Local Structure of Smooth Maps of Manifolds |
| Lawrence Cabusora | Jessica Young | Diophantine Set Primes and the Resolution of Hilbert's 10th Problem |
| Dustin Cartwright | Barry Mazur | Higher K-Theory |
| Kevin Chan | Yum Tong Siu | Uniformization of Riemann Surfaces |
| Keziah Cook | Dylan Thurston | Stable and Unstable Laminations of Automorphisms of the 2-holed Torus |
| Paul Fili | Frank Calegari | On the Elliptic Curve Method of Factorization |
| John Francis | Mike Hopkins | On the Connective Real K-theory of K(Z4): an Application of Stable Homotopy to Integrals on Spin Manifolds |
| Jayce Getz | William Stein | Classical and p-adic Modular Forms Arising from the Borcherds Exponents on Other Modular Forms |
| Judah Jacobson | Nathan Intrator (Brown) | Lower Bounds on Estimator Error and the Threshold Effect |
| Dimitar Jetchev | William Stein | Visible Elements of the Shafarevich-Tate Group |
| Seth Kleinerman | William Stein | On the Torsion Points of Elliptic Curves & Modular Abelian Varieties |
| Kwun Kwai | Yum Tong Siu | The Bochner-Kodaira Techniques and Strong Rigidity of Compact K�hler Manifolds |
| William Meyerson | Derek Bruff | Constructing the Daubechies Wavelet Basis |
| C.Pasquali Gonzalez | Laura Matusevich, Marcus Mobius(Econ) | On the Derivation of the Kalman Filter and Stochastic Time Series Analysis |
| Richard Rivero | Dylan Thurston | States Link Polynomial and the Tait Conjectures |
| Grant Schoenebeck | Salil Vadhan | The Computational Complexity of Finding Nash Equilibria in Succinctly Represented Games |
| Alexander Schwartz | Frank Calegari | Torsion Points in Elliptic Curves over Arbitrary Fields |
| Eric Swartz | Laurent Berger | L-Invariants |
Thesis 2003
| Trevor Bass | Richard Stanley | Excluded Minor Theory and Its Algorithmic Byproducts |
| Dennis Clark | Nathan Dunfield | Heegaard Splittings and Efficient Algorithms for Fundamental Groups of 3-Manifolds |
| Andrew Cotton | Peter Kronheimer | Gromov's Nonsqueezing Theorem |
| Richard Cudney | Shing-Tung Yau | Jet Spaces of Schemes |
| James Fowler | Nathan Dunfield | Finding 0-Efficient Triangulations of 3-Manifolds |
| Michael Greene | Peter Kronheimer | Bordism and Cobordism of (B f) Manifolds |
| John Gregg (+COMP) | William Stein | On Factoring Integers and Evaluating Discrete Logarithms |
| Jonathan Guberman | Steve Altschuler Lani Wu | Mass Action Reaction Networks and The Deficiency Zero Theorem |
| Wei Ho | Noam Elkies | The Main Conjecture of Iwasawa Theory |
| Harpaul Kohli (+PHIL) | Gerald Sacks | Making it Harder: Parallels between Jumping to Greater Degrees of Unsolvability or Information Encoding and Jumping to More Difficult Classes of Solvabililty |
| Isidora Milin | Nathan Dunfield | Dehn Fillings of Hyperbolic Three-Manifolds |
| Andrew Obus | Benedict Gross | The Trace Formula for ?0(N) |
| Joseph Rabinoff | Steven DeBacker | The Bruhat-Tits building of a p-adic Chevalley group and an application to representation theory |
| Kenneth Shirley | Carl Morris (Stat) | Applications of Markov Theory to Baseball |
| Aaron Tievsky (+PHYS) | Kalle Karu | A Geometric Littlewood-Richardson Rule for Equivariant Schubert Calculus |
| Anthony Varilly | Benedict Gross | Singular and Supersingular Moduli |
| Kirsten Wickelgren | Curt McMullen | Billiards in Polygons |
| Lara Marie Buchak | Ned Block (Phil) | Conceptual Problems Within The Computational Theory of Mind |
| Elizabeth Ogburn | Phil | Consequentialism and the Person as an End-in-Itself |
Thesis 2002
| Bronfman Aaron | No advisor | Growth Function of the Positive Braid Monoid |
| Cais Bryden | Noam Elkies | Riemann Surfaces and Modular Function Field Extensions |
| Castillo Thomas | Joseph Harris | Conservation of Number and the Grassmannian Perspectives on Schubert's Principle |
| Dinkin Aaron | Richard Stanley | Perfect Graphs and the Perfect Graph Conjecture |
| Healy Alexander (MATH+COMP) | Michael Rabin | Lattice Basis Reduction and Public-Key Cryptography |
| Hill Michael | Michael Hopkins Peter Kronheimer | Vector Fields on Spheres and Applications to Homotopy Theory |
| Josephson William | Michael Rabin | Verifiable Secret Sharing |
| Kelner Jonathan | Peter Kronheimer | The Surgery Theoretic Classification of High-Dimensional Smooth and Piecewise Linear Simply Connected Manifolds |
| Levine Lionel | Noam Elkies | The Rotor-Router Model |
| Matchett Phil | Stephen DeBacker | Haar Measure and Representation of the Heisenberg Group |
| Mihelich Chris | William Stein | Arithmetic Properties of Restricted partition functions |
| Miyasaka Eiichi | Noam Elkies | The Classification of some Finite Simple Groups and the Exceptional Isomorphisms between them |
| Moss Sarah | Daniel Goroff | Arrow's Impossibility Theorem: Combinatorial and Topological Approaches |
| Musiker Gregg | Richard Stanley | Cluster Algebras Somos Sequences and Exchange Graphs |
| Schedler Travis | Nathan Dunfield | Troels Jorgensen's Once-Punctured Torus Theory |
| Snyder Noah | Dick Gross | Artin's L-functions: A Historical Approach |
| Speyer David | William Stein | The Eichler-Shimura Correspondence: Theoretical and Computational Aspects |
| Tenner Bridget | Wilfried Schmid | Paul Sally (Chicago) |
| Warshall Andrew | Noam Elkies | Principles of Combinatorial Game Theory |
| Weinstein Jared | Dick Gross | The L-series of Number Fields and of Abelian Varieties |
| Agarwal Neil (COMP+MATH) | Gerald Sacks, Salil Vadhan | Automorphisms of the lattice of computably enumerable sets |
Thesis 2001
| Pranav Anand | Warren Goldfarb | Indicators for Non-Standard Models of Arithmetic |
| David Farris | Raoul Bott | Basic Morse Theory via Half Spaces and the Morse Complex |
| Lukasz Fidkowski | Raoul Bott | Several Approaches to Chern Classes |
| Elizabeth Foster | Dick Gross | Reciprocity |
| Daniel Glaser | Leslie Valiant | A Theoretical Discussion of Boosting |
| Paula Levy | Leslie Valiant | Algebraic Complexity: A Compendium of VNP-complete Problems |
| Maryanthe Malliaris | Gerald Sacks | Asymptotic Methods for Finite Models |
| Ciprian Manolescu | Peter Kronheimer | Finite Dimensional Approximation in Seiberg-Witten Theory |
| Davesh Maulik | Dick Gross | Explicit Class Field Theory for Function Fields |
| Petar Maymounkov | M. Mitzenmacher | Divergence-proving Techniques for Best Fit Bin Packing and Random Fit |
| Anna Medvedovsky | Matt Baker | Chebotarev's Density Theorem |
| Joshua Nichols-Barrer | Joe Harris, Sean Keel | GIT with an Application to the Birational Geometry of M31 and M41 |
| Janak Ramakrishnan | Barry Mazur | Hilbert's 10th Problem and the Role of the Pell Equation |
| Nikolai Roussanov | Ilia Binder | The Mandelbrot's Conjecture and Critical Exponents for Brownian Motion |
| Bhatt Meghana | Leslie Valiant | "Aggregating Simple Functions into Powerful Predictors" |
Thesis 2000
| Ackerman Nate | Gerald Sacks | "Effective Descriptive Set Theory" |
| Acquista Karen | Richard Taylor | "Constructing the p-Adic L-Functions" |
| Barth Nils | Joseph Harris | "Pluricanonical Maps and Models of Algebraic Surfaces" |
| Bhat Harish | Daniel Goroff | "Aubry-Mather Sets and a Problem of Three-Bodies" |
| Gilchrist Pete | Benedict Gross | "An Exploration of Algebraic Number Theory: Algorithmic Development and Inplementation" |
| Jensen Meredith | Warren Goldfarb | "Establishing a Hierarchy for First-Order Quantifier Prefixes" |
| Kirkup George | Barry Mazur | "K2 of Number Fields" |
| Lee Dan | Peter Kronheimer | "Dirac Spinors and the Positive Energy Theorem" |
| Lee Alex | Joseph Harris | "The Hilbert Schemes of Curves in P3" |
| Lieblich Max | Brian Conrad | "Galois Representations Arising from p-Divisible Groups" |
| Lurie Jacob | Benedict Gross | "Simply Laced Lie Algebras and their Minuscule Representations" |
| McMillen Chris | Daniel Goroff | "Stochastic Calculus with Local Martingale Integrators" |
| Oprea Dragos | Peter Kronheimer | "Seiberg-Witten Invariants and Applications" |
| Proudfoot Nick | Peter Kronheimer | "Brieskorn's construction of Exotic Spheres" |
| Riesenfeld Samantha | Michael Rabin | "Computing the Irreducible Representations of a Finite Group over Finite Fields: The Non-Modular Case" |
| Sagalovskiy Dmitry | David Kazhdan | "Wavelets as Bases for LP Spaces" |
| Wichs David | David Kazhdan | "Morse Theory and its Applications" |
| Williams Lauren | Eric Sommers | "A q-analog of Weight Multiplicity" |
| Yasufuku Yu | Richard Taylor | "Deformation Theory of Formal Modules" |
| Harris David | Gerald Sacks | "Transcendence Degree in the General Setting" |
Thesis 1999
| Caramanis Constantine | Cliff Taubes | The Invariance of the Index of Elliptic Operators |
| Dasgupta Samit | Brian Conrad | Stark's Conjectures |
| Emanuel Michel | Peter Kronheimer | Classical Linear Groups over Finite Fileds |
| Friedman Marnie | Michael Nakamaye and D Kleitman | Lights Camera Optimal Actions: A Study of Strategies and Equilibria in Stochastic Games |
| Gnepp Andrei | Clifford Taubes | Smoothing of Topological Manifolds |
| Helm David | Richard Taylor Barry Mazur | The Euler System of Cyclotomic Units |
| Krieger Joachim | Wilfried Schmid | Geometric Methods in the Representation Theory of noncompact Liegroups |
| Lebow Eli | Peter Kronheimer | Gauge Theory and the ADHM Construction |
| Liu Ju Kuan | Curt McMullen | Integrating Quadratic Polynomials on the Real Line |
| Luber Harold | Dan Strook | The Central Limit Theorem: Proofs and Applications |
| Lyo Grace | Cliff Taubes | The Heegaard Decomposition Theorem A Morse-Theoretic Introduction |
| Marian Alina | Wilfried Schmid | On the Real Moment Map |
| Menon Sanjay | Richard Taylor Barry Mazur | Chebotarev's Density Theorem |
| Nichols Ann | Michael Nakamaye, Jill Mesirov and James Ireland MIT | A Bin Packing Algorithm Applied to a Genetic Reseqencing Assay |
| Ordway Damian | S.-T. Yau | The Topology of Manifolds with Positive Scalar Curvature |
| Oreskovich Anne | Clifford Taubes | On constructions Surgeries and Unique Decomposition Theorems of Knots Links and 3-Manifolds |
| Osserman Brian | Richard Taylor Barry Mazur | Heegner's Work and Its Applications |
| Plotkin Joshua | Peter Kronheimer | Cobordism and Exotic Spheres |
| Purdy David | Noam Elkies | Searching for High Rank Elliptic Curves |
| Sen Arun | Richard Taylor | Barry Mazur |
| Stephens Ben | S.-T. Yau | Compact Riemannian 7-Manifolds with Holonomy G2 |
| Tenny Daniel | Tom Braden | Linear Programming and Karmarkar's Algorithm |
| Roshak Natalka (minor) PHIL+ | Robert Nozick Warren Goldfarb - H.T. | Number as an Internalized Regularity |
| Chang Yu-Han (minor) ECON+ | Chris Foote - H.T. | Exogenous Uncertainty in Computable General Equilibria Models: A Study on the Effects of Tax Policy on Economics Growth |
| Fernholz Dan | Noam Elkies | Quantum Error-Correcting Codes |
Thesis 1998
| David Agraz | Kamal Khuri-Makdisi | Artin L-functions: Applications and Calculations |
| Joshua Barback | Gerald Sacks | Some results related to retraceable sets and Ramsey's Theorem |
| Daniel Biss | Raoul Bott & Michael Hopkins | Homotopy Theory with a view toward Stable Computation |
| Andrew Blumberg | David Kazhdan | The Merkurjev-Suslin Theorem |
| Patrick Corn | Richard Taylor | Modular Forms and Galois Representations |
| Moon Duchin | Persi Diaconis | Combinatorial Methods and Constructive Notions for the Colin de Verdiere Graph Parameter |
| Samuel Grushevsky | Yum Tong Siu | Fenchel-Nielsen boundary of Teichm�ller Space |
| Jesse Hahnel | Dick Gross | Additive Number Theory Modular Forms and the partition Function |
| Christopher Jerdonek | Curt McMullen | Hyperbolic Geometry in the Study of Three-Manifolds |
| Benjamin Lee | David Kazhdan | Geometric Quillen-Suslin |
| Florin Spinu | Wilfried Schmid | The Eisenstein Series of SL(2R) |
| Julianna Tymoczko | Joe Harris | The p-components of the stable homotopy groups of spheres |
| Stephen Wang | Dick Gross | The Uniqueness of Two Remarkable Lattices |
| Jonathan Weinstein | Kenneth Fan | Length Functions on Finite Reflection Groups |
| Eric Yeh | Michael Nakamaye | The Theory of Divisors in Krull Domains |
Ph.D. Theses
| Past Harvard Ph.D. thesis may be obtained directly from the address given to the right. The request must be sent in writing. They may reply with e-mail if you include your address, and will state the cost. Upon receipt of the requested dollar amount, they will send you a copy. |
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Since 2001, the titles of dissertations are listed online: 2001: 2001 Source: Klenke, Tomas Antonius Modular Varieties and Visibility 2001 June 14376 Mann, William Russell Local Level-Raising for GLn 2001 June 14376 Pollack, Robert Jordan On the p -adic L -function of a Modular Form at Supersingular Prime 2001 June 14376 Savitt, David Lawrence Modularity of Some Potentially Barsotti-Tate Galois Representations 2001 June 14376 Vologodsky, Vadim Hodge Structure on the Fundamental Group and Its Application to p-adic Integration 2001 June 14376 Warrington, Gregory Saunders Kazhdan-Lusztig Polynomials, Pattern Avoidance and Singular Loci of Schubert Varieties 2001 June 14376 Williams, Samuel Rufus Mod p L -functions and Analytic Kolyvagin Systems 2001 June 143762002: 2002 Source Arinkin, Dmitro Olexandrovich Fourier Transform for Quantized Completely Integrable Systems 2002 June 14593 DeMarco, Laura Grace Holomorphic Families of Rational Maps: Dynamics, Geometry, and Potential Theory 2002 June 14593 Grushevsky, Samuel Effective Schottky Problem 2002 June 14593 LiBine, Matvei A Localization Argument for Characters of Reductive Lie Groups 2002 June 14593 Liu, Chiu-Chu Melissa Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions 2002 June 14593 Mantovan, Elena On Certain Unitary Group Shimura Varieties 2002 June 14593 Scott, Ralph H. III Closed Self-Dual Two-Forms on Four-Dimensional Handlebodies 2002 November 14716 Trifkovic, Mak On Mu-Invariants of Elliptic Curves over Q 2002 June 14593 Yang, Huan Hecke Algebra Action on Siegel Modular Forms 2002 June 145932003: 2003 Source Chen, Jiun-Cheng Flops and Equivalences of Derived Categories for Threefolds with only Terminal Gorenstein Singularities 2003 June 14883 Cheng, Hsiao-Bing Li-Yau-Hamilton Estimate For the Ricci Flow 2003 June 14883 Clark, Pete L. Rational Points on Atkin-Lehner Quotients of Shimura Curves 2003 June 14883 Jao, David Yen Supersingular Primes for Rational Points on Modular Curves 2003 June 14883 Karigiannis, Spiros Deformations of G2 and Spin(7) Structures on Manifolds 2003 June 14883 Liu, Yu-Ru Generalizations of the Tur�n and the Erds-Kac Theorems 2003 June 14883 Lucianovic, Mark William Quaternion Rings, Ternary Quadratic Forms, and Fourier Coefficients of Modular Forms on PGSp(6) 2003 June 14883 Pop-Eleches, Cristian Central Values of Rankin L-series Over Real Quadratic Fields 2003 June 14883 Rasmussen, Jacob Andrew Floer Homology and Knot Complements 2003 June 14883 Weissman, Martin Hillel The Fourier-Jacobi Map and Small Representations 2003 June 148832004: 2004 Source Rauch, Daniel Perturbations of the D-Bar Operator. 2004 March |