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 from comments of students and faculty in preparation for, and during, an information session. Let Rosalie BelangerRioux (rbr@math.harvard.edu) 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 padic modular forms arising from the Borcherds exponents of other modular forms  
Dimitar Jetchev '04  Visible Elements of the ShafarevichTate 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 WordHyperbolic Coxeter Groups  
Ian Le '05  Tangent Lines to Curves Arising from Automorphic Distributions  
Emily Riehl '06  LubinTate 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 lowdegree smooth hypersurfaces and unirationality  
Alison Miller '08  Explicit class field theory in function fields: GrossStark 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  WorstCase and AverageCase 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 ExposureResilient 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 Hodgetype 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 GBundles  
Rebecca Resnick '11  Finding the best model for continuous computation  
Brent Ho '11  Some constructions of irreducible representations of generic Hecke algebras of type A_{n}  
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 JHomomorphism  
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 GrothendieckRiemannRoch Theorem .  
Barry Jia Hao Tng '15  How big is that cookie? The integral geometric approach to geometric quantities.  
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  
Connor Harris '16  Complex Singularities and Twist Quantum Fields  
Kate Donahue '16  All Together Now" Linking the Public Goods Game and Prisoner's Dilemma for Robustness Against FreeRiders  
Nat Mayer '16  Mostow rigidity and the proportionality principle for simplicial volume  
Octav Dragoi '16  The Sarnak Conjecture: Orthogonality of the Mobius Function on Bounded Depth Circuits  
Sitan Chen '16  Geometry in Algorithms and Complexity: Holographic Algorithms and Valiant's Conjecture  
Xiaoyu He '16  Primes of the Form p+ny  
Justin William Henry Cavitt '17  Settheoretic Geology, the Ultimate Inner Model, and New Axioms  
Greg Parker '17  Lefschetz Fibrations on 4Manifolds  
Julian Salazar '17  Crepant resolutions of Weierstrass models with torsion  
Ashvin Swaminathan '17  Inflection Points in Families of Algebraic Curves  
Kevin Yang '17  Bulk Universality of Biregular Bipartite Graphs and Dyson's Brownian Motion for Covariance Matrices  
Kathleen Zhou '17  The GolodShafarevich Theorem and the class field tower problem  
Aaron Slipper '18  The theory of modular forms and the sphere packing problem in dimensions 8 and 24  
Ravi Jagadeesan '18  Crepant resolutions of Qfactorial threefolds with compound Du Val singularities  
Andrew Gordon '18  Punctual Hilbert Schemes of the Plane  
Vikram Sundar '18  Bounds on Errors in Observables Computed from Molecular Dynamics Simulations  
Thesis 2018
Davis, Shanelle  Dusty Grundmeier  Further Analysis of Infinite Series: From Divergent to Convergent 
Gonzalez, Xavier  Noam Elkies  Uniqueness of the Leech Lattice 
Gordon, Andrew  Joe Harris  Punctual Hilbert Schemes of the Plane 
Gowravaram, Nihal  Boaz Barak, Cliff Taubes  Zero Knowledge Proofs and Applications to Financial Regulation 
Han, Johnnie  Mark Kisin, Hector Pasten  Bost's Slopes and Transcendence Theory 
Hopkins, Max  Madhu Sudan  RepresentationTheoretic Techniques for Independence Bounds of Cayley Graphs 
Hotchkiss, James  Joe Harris  The NoetherLefschetz Theorem 
Hu, Jennifer  Martin Nowak  The Mathematics of Meaning: A Bayesian Approach to Comparing the Pragmatics of English and Chinese 
Jagadeesan, Ravi  Mboyo Esole, S. T. Yau  Minimal Models of EllipticallyFibered3Folds 
Jain, Saksham  Martin Nowak  From Triangles to Teamwork: A Mathematical Explanation for the Evolution of Cooperation 
Kwon, Yong Wook  Prof. Blitzstein, Wilfried Schmid, Prof. Nelson  From ErdosRenyi to Achlioptas: The Birth of a Giant 
Mackey, Wyatt  Joe Harris  Polygons Inscribed in One Curve and Circumscribed by Another 
Otness, Karl  Michael Bronstein  Graph Convolutions and Machine Learning 
Park, Handong  Cliff Taubes, Daniel CristofaroGardinar  Investigating the Symplectic Ellipsoid Embedding Function 
Prasad, Rohil  Cliff Taubes  The SeibergWitten Invariant of a Homology S1 x S3 
Slipper, Aaron  Noam Elkies  Modular Magic 
Sundar, Vikram  AspuruGuzik, David Gelbwaser, Martin Nowak  Bounds on Errors in Observables Computed from Molecular Dynamics Simulations 
Tao, James  Dennis Gaitsgory  Formal Aspects of Bezrukavnikov's Equivalence for Affine Hecke Algebras 
Wang, Brabeeba  Mike Hopkins  What Information Does One Need to Recover the Homotopy Type of a Space at a Prime p 
Young, Fiona  Mark Kempton, Ana Balibanu  NonBacktracking Random Walks on Graphs 
Sinik, Demren  Joe Harris  A Classification of the Representation s of Complex SemiSimple Lie Algebras 
Thesis 2017
Atanas, Adam  Martin Nowak Michael Mitzenmacher  Evolutionary Graph Theory of Biased Sexual Reproduction 
Cavitt, Justin  Hugh Woodin  SetTheoretic Geology, the Ultimate Inner Model and New Axioms 
Gaebler, Hans  Hugh Woodin  Large Cardinals and Projective Determinacy 
Jiradilok, Pakawut  Tristan Collins  Construction of a Heat Kernel on Holomorphic Line Bundles over Compact Riemann Surfaces 
Larson, Hannah  Joe Harris  Normal Bundles of Lines on Hypersurfaces 
Ma, Ziyu  Martin Nowak  Evolutionary Games on Structured Population: When Will Cooperation be Favored under Weak Selection 
McNamara, Jake  Hiro Tanaka  How to Draw a Derived Manifold 
Parker, Gregory  Cliff Taubes  Lefschetz Fibrations on 4manifolds 
Salazar, Julian  Mboyo Esole, Noam Elkies  Crepant Resolutions of Weierstrass Models with Torsion 
Swaminathan, Ashvin  Joe Harris Anand Patel  Inflection Points in Families of Algebraic Curves 
Torres, George  Mike Hopkins  The Maslov Index and the Poincare Birkhoff Theorem in Planar Hamiltonian Dynamics 
Vasudevan Sahana  S.T. Yau  Pseudonorms on thePluricanonical Spaces of Riemann Surfaces 
Wang, Xie  S.T. Yau  Positive Ricci Curvature on Compact 3manifolds 
Yan, Jeffrey  Arthur Jaffe  Discrete Quantum Gravity and Schrader's Last Theorem 
Yang, Greg  Madhu Sudan, S.T. Yau  A Homological Theory of Functions 
Yang, Kevin  H.T. Yau  Bulk Universality of Biregular Bipartite Graphs and Dyson's Brownian Motion for Covariance Matrices 
Zhou, Kat  Barry Mazur  GolodShafarevich Theorem and the Class Field Tower Problem 
Carrick, Christian  Mike Hopkins  An Elementary Proof of Quillen's Theormem for Complex Cobordism 
Thesis 2016
Aida, Tara  Daniel CristofaroGardiner  The AnandDumirGupta Conjectures and Generating Functions 
AlNatsheh, Adam  Mike Hopkins  E infinityRing Spectra from Diagram Spaces and Their Topological Hochschild Homology 
Chen, Sitan  Joe Harris, Joseph Landsbert (Texas AM), Leslie Valiant  Geometry in Algorithms and Complexity: Holographic Algorithms and Valiant's Conjecture 
Ding, David  Noam Elkies  Ranks of Elliptic Curves via the ShiodaTate Theorem 
Donahue, Kate  Christian Hilbe, Oliver Hauser, Martin Nowak, Cliff Taubes  "All Together Now" Linking the Public Goods Game and Prisoner's Dilemma for Robustness Against FreeRiders 
Dragoi, Octav  Arul Shankar  The Sarnak Conjecture: Orthogonality of the Mobius Function on Bounded Depth Circuits 
Harris, Connor  Roberto Martinez  Complex Singularities and Twist Quantum Fields 
He, Xiaoyu  Arul Shankar  Primes of the Form p+ny 
Landesman, Aaron  Joe Harris, Anand Patel  Interpolation in Algebraic Geometry 
Li, Ben  HT Yau, Samuel Kou  Random Projection Ensembles and Extensions 
Lombardi, Alex  Noam Elkies  Ranks of Elliptic Curves over Q: Theory and Computation 
Menon, Priyanka  Barry Mazur  Ultrafilters in Social Choice Theory 
Roberts, David  Clifford Taubes  A Variational Approach to Topological Degeneracy in Superconductors 
Watters, Nicholas  ST Yau  Information Geometric Approaches for Neural Network Algorithms 
Ibeling, Duligur  CristofaroGardiner  The Limit of the Abelian Sandpile: An Approach Using PDE 
Hitzig, Zoe  Martin Nowak, Ned Hall  The Evolutionary Dynamics of Distributive Justice 
Nat Mayer,  Clifford Taubes  Mostow rigidity and the proportionality principle for simplicial volume 
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 TimeDeformed 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 ErdosRenyi 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 GrothendieckRiemannRoch 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 PaperScissors: 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 KroneckerWeber Theorem an Exploration of Algebraic Number Theory 
Ruescher, Joseph  Nate Ackerman  ZeroOne 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 LubinTate 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  HodgeTate Theory 
Amy (Qian) Huang  Sukhada Fadnavis  Chromatic Polynomials: An Exposition 
Michael Jemison  Mike Hopkins  Quantum Variants of 3 Manifolds 
Yacoub Kureh  Vaibhav Gadre  PerronFrobeniusTheorem: Background, Proof and Applications 
Eric Larson  Joe Harris  The Maximal Rank Conjecture for Sections of Curves 
Lucia Mocz  Mark Kisin  Birch and SwinnertonDyer conjecture for Rank 0 and 1 Elliptic Curves over Q 
ElenaMadalina Persu  Leslie Valiant  Computational Learning Methods for Evolution 
Sarwar, Arush  H T Yau  Way of the Wavelet: Timefrequency 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 JHomomorphism 
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 GlickmanHoch  Kristen Wicklegren  
Jeffrey Kalmus  H.T. Yau  The Longrun 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 CottonClay  The PoincareBirkhoff Fixed Point Theorem and Periodic Orbits in the Restricted Threebody 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 NonQuillenEquivalent Stable Model Categories with TriangleEquivalent 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 A_{n} 
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 GBundles 
Thesis 2010
Zachary Abel  Salil Vadhan  Lattice Tensor Constructions in the Complexity of the Shortest Vector Problem 
Onur Alper  HorngTzer Yau  The NavierStokes 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  HorngTzer 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 AckermannDentonKostyrko class with identity 
Daniel Litt  Wilfred Schmid  Introduction to Hodgetype Structures 
Andrew Schlafly  Gerald Sacks  Partial Recursive Functions in ZermeloFraenkel Set Theory 
Laura Starkston  Andrew CottonClay  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  WorstCase and AverageCase 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 DModules, 
Shira Mitchell,  Joe Blitzstein (Stat)  Semiparametric Survival Models with Applications to HIV 
Gilbert Moss  Toby Gee  Chebotarev's Theorem and Artin LFunctions 
Charles Nathanson  Martin Nowak  Evolution of Cooperation in Structured Pupulations under Weak Selection 
Yakir Reshef  Salil Vadhan (EECS)  On Resilient and ExposureResilient 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 EnergyMomentum Level Sets for the Lagrange Top 
Neal Wadhwa  Martin Nowak  Update Rules in GraphStructures 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: GrossStark 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 LowDegree 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 NavierStokes Equations on R^{3} 
JacksonHanen David  Peter Kronheimer  The SeibergWitten Equations and FourManifolds 
Jerison Daniel  H.T. Yau  Derivation of the Hartree energy functional for bosons with meanfield 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 ContextFree Rewriting Systems 
Nakhoul Hani  Andreea Nicoara  Subelliptic Estimates and Finite Type for the deltaNeumann Problem on C^{n} 
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  GrossStark 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 MordellWeil Theorem 
Corwin Ivan  Wilfried Schmid  Automorphic Distributions From Cocompact Fuchsian Groups 
Fithian William  Dennis Gaitsgory  The RiemannRoch Theorem and Serre Duality for Algebraic Function Fields 
Ganatra Sheel  Peter Kronheimer  Einstein Metrics on 4Manifolds and SeibergWitten Theory 
Gerasimov Timofei  Jose Blanchet (Stat)  Using Affine Processes to Price Defaultable bonds in an IntensityBased 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 DebarreDe Jong Conjecture 
Patrikis Stefan  Richard Taylor  Lifting Symplectic Galois Representation 
Riehl Emily  Francesco Calegari  LubinTate 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  ShingTung 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 SwinnertonDyer 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 WordHyperbolic Coxeter Groups 
Danielle Li  William Stein  Proving MordellWeil: A Descent in Three Parts 
Arik Motskin  L. Valiant  Graph Planarity Kuratowski's Theorem and PlanarityTesting Algorithms 
Ronen Mukamel  Dylan Thurston  Classifying Spaces for Riemann Structures on Smooth Surfaces 
Daniel Rosenbloom  P.Koellner  Borel Selections and SetTheoretic 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 KTheory 
Kevin Chan  Yum Tong Siu  Uniformization of Riemann Surfaces 
Keziah Cook  Dylan Thurston  Stable and Unstable Laminations of Automorphisms of the 2holed Torus 
Paul Fili  Frank Calegari  On the Elliptic Curve Method of Factorization 
John Francis  Mike Hopkins  On the Connective Real Ktheory of K(Z4): an Application of Stable Homotopy to Integrals on Spin Manifolds 
Jayce Getz  William Stein  Classical and padic 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 ShafarevichTate Group 
Seth Kleinerman  William Stein  On the Torsion Points of Elliptic Curves & Modular Abelian Varieties 
Kwun Kwai  Yum Tong Siu  The BochnerKodaira Techniques and Strong Rigidity of Compact Kähler 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  LInvariants 
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 3Manifolds 
Andrew Cotton  Peter Kronheimer  Gromov's Nonsqueezing Theorem 
Richard Cudney  ShingTung Yau  Jet Spaces of Schemes 
James Fowler  Nathan Dunfield  Finding 0Efficient Triangulations of 3Manifolds 
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 ThreeManifolds 
Andrew Obus  Benedict Gross  The Trace Formula for ?0(N) 
Joseph Rabinoff  Steven DeBacker  The BruhatTits building of a padic 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 LittlewoodRichardson 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 EndinItself 
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 PublicKey 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 HighDimensional Smooth and Piecewise Linear Simply Connected Manifolds 
Levine Lionel  Noam Elkies  The RotorRouter 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 OncePunctured Torus Theory 
Snyder Noah  Dick Gross  Artin's Lfunctions: A Historical Approach 
Speyer David  William Stein  The EichlerShimura 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 Lseries 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 NonStandard 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 VNPcomplete Problems 
Maryanthe Malliaris  Gerald Sacks  Asymptotic Methods for Finite Models 
Ciprian Manolescu  Peter Kronheimer  Finite Dimensional Approximation in SeibergWitten Theory 
Davesh Maulik  Dick Gross  Explicit Class Field Theory for Function Fields 
Petar Maymounkov  M. Mitzenmacher  Divergenceproving Techniques for Best Fit Bin Packing and Random Fit 
Anna Medvedovsky  Matt Baker  Chebotarev's Density Theorem 
Joshua NicholsBarrer  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 pAdic LFunctions" 
Barth Nils  Joseph Harris  "Pluricanonical Maps and Models of Algebraic Surfaces" 
Bhat Harish  Daniel Goroff  "AubryMather Sets and a Problem of ThreeBodies" 
Gilchrist Pete  Benedict Gross  "An Exploration of Algebraic Number Theory: Algorithmic Development and Inplementation" 
Jensen Meredith  Warren Goldfarb  "Establishing a Hierarchy for FirstOrder 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 pDivisible 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  "SeibergWitten 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 NonModular 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 qanalog 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 MorseTheoretic 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 3Manifolds 
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 7Manifolds 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 YuHan (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 ErrorCorrecting Codes 
Thesis 1998
David Agraz  Kamal KhuriMakdisi  Artin Lfunctions: 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 MerkurjevSuslin 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  FenchelNielsen boundary of Teichmüller Space 
Jesse Hahnel  Dick Gross  Additive Number Theory Modular Forms and the partition Function 
Christopher Jerdonek  Curt McMullen  Hyperbolic Geometry in the Study of ThreeManifolds 
Benjamin Lee  David Kazhdan  Geometric QuillenSuslin 
Florin Spinu  Wilfried Schmid  The Eisenstein Series of SL(2R) 
Julianna Tymoczko  Joe Harris  The pcomponents 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 email if you include your address, and will state the cost. Upon receipt of the requested dollar amount, they will send you a copy. 

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 LevelRaising 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 BarsottiTate Galois Representations 2001 June 14376 Vologodsky, Vadim Hodge Structure on the Fundamental Group and Its Application to padic Integration 2001 June 14376 Warrington, Gregory Saunders KazhdanLusztig 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, ChiuChu Melissa Moduli of JHolomorphic Curves with Lagrangian Boundary Conditions 2002 June 14593 Mantovan, Elena On Certain Unitary Group Shimura Varieties 2002 June 14593 Scott, Ralph H. III Closed SelfDual TwoForms on FourDimensional Handlebodies 2002 November 14716 Trifkovic, Mak On MuInvariants of Elliptic Curves over Q 2002 June 14593 Yang, Huan Hecke Algebra Action on Siegel Modular Forms 2002 June 145932003: 2003 Source Chen, JiunCheng Flops and Equivalences of Derived Categories for Threefolds with only Terminal Gorenstein Singularities 2003 June 14883 Cheng, HsiaoBing LiYauHamilton Estimate For the Ricci Flow 2003 June 14883 Clark, Pete L. Rational Points on AtkinLehner 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, YuRu Generalizations of the Turán and the ErdsKac Theorems 2003 June 14883 Lucianovic, Mark William Quaternion Rings, Ternary Quadratic Forms, and Fourier Coefficients of Modular Forms on PGSp(6) 2003 June 14883 PopEleches, Cristian Central Values of Rankin Lseries Over Real Quadratic Fields 2003 June 14883 Rasmussen, Jacob Andrew Floer Homology and Knot Complements 2003 June 14883 Weissman, Martin Hillel The FourierJacobi Map and Small Representations 2003 June 148832004: 2004 Source Rauch, Daniel Perturbations of the DBar Operator. 2004 March 