**Full text of dissertations can be found on the**

** Stanford University Libraries website**

### 2015-16 | 2014-15 | 2013-14 | 2012-13 | Archive

### 2016-17

Name |
Dissertation Title |
Dissertation Advisor |
First Position After Graduating |

Zarathustra Brady | Sieves and Iteration Rules | Kannan Soundararajan | Instructor in Pure Mathematics/NSF Fellow, MIT |

Daren (Da Rong) Cheng | Geometric Variational Problems: Regular and Singular Behavior | Richard Schoen | L. E. Dickson Instructor, University of Chicago |

Alexandra Florea | Moments and zeros of L-functions over function fields | Kannan Soundararajan | NSF Postdoctoral Fellow, University of Bristol |

Jun Gao | The front asymptotics for the non-local KPP equation | Leonid Ryzhik | Market Quantitative Associate, Citigroup |

François Greer | Modular Forms in Enumerative Geometry | Jun Li | Research Assistant Professor, Simons Center for Geometry and Physics, Stony Brook University |

Jafar Jafarov | Loop Equations and String Dualities in Lattice Gauge Theories | Sourav Chatterjee | Market Associate, Barclays |

Brian Lawrence | Two Results on Period Maps | Akshay Venkatesh | NSF Postdoctoral Research Fellow, Columbia University |

Oleg Lazarev | Flexible Weinstein structures and applications to symplectic and contact topology | Yakov Eliashberg | NSF Postdoctoral Research Fellow, Columbia University |

Shotaro Makisumi | Modular Koszul duality for Soergel bimodules | Zhiwei Yun | Joseph F. Ritt Assistant Professor, Columbia University |

Christos Mantoulidis | Geometric Variational Problems in Mathematical Physics | Richard Schoen | C L E Moore Instructor, MIT |

David Montague | Covariance Estimation and Graphical Models for Infinite Collections of Random Variables | Balakanapathy Rajaratnam | Member of the Technical Staff, Palantir Technologies |

Donghai Pan | Pencils of Fermat hypersurfaces and Galois cyclic covers of the projective line | Ravi Vakil | |

Niccolò Ronchetti | On the mod p derived Hecke algebra of a p-adic group | Akshay Venkatesh | Hedrick Assistant Adjunct Professor, UCLA |

Beniada Shabani | Propagation in multi-dimensional Fisher-KPP equations | Leonid Ryzhik | Postdotoral Fellow, EHESS |

Sverrir Thorvaldsson | Boundary Fibration Structures and Quasi-Homogeneous Geometries | Rafe Mazzeo | Chief Risk Officer, Islandsbanki |

Evan Warner | Adic Moduli Spaces | Brian Conrad | Joseph F. Ritt Assistant Professor, Columbia University |

Graham White | Combinatorial methods in Markov chain mixing | Persi Diaconis | Zorn Postdoctoral Fellow, Indiana University |

### 2015-16

Name |
Dissertation Title |
Dissertation Advisor |
First Position After Graduating |

Jeremy Booher | Geometric Deformations of Orthogonal and Symplectic Galois Representations | Brian Conrad | Postdoctoral Research Associate, University of Arizona |

Iurie Boreico | Statistics of random integral matrices | Akshay Venkatesh | |

Valentin Buciumas | Quantum groups and the Yang-Baxter equation | Daniel Bump | |

Peter Diao | Differential Calculus on Graphon Space and Statistical Applications of Graph Limit Theory | Balakanapathy Rajaratnam | |

Nicholas Edelen | On the free-boundary mean curvature flow | Simon Brendle | |

Daniel Jerison | The Drift and Minorization Method for Reversible Markov Chains | Persi Diaconis | |

Sara Kalisnik Verovsek | Tropical Coordinates on the Space of Persistence Barcodes | Gunnar Carlsson | |

Sander Kupers | Some finiteness results for groups of automorphisms of manifolds | Soren Galatius | |

Evita Nestoridi | Rates of convergence of Markov chains to stationarity: strong stationary times, coupling, Gelfand pairs and comparison theory. | Persi Diaconis | |

Samuel Nolen | The string topology of holomorphic curves in BU(n). | Ralph Cohen | |

David (Weiluo) Ren | Two models on limit order trading | George Papanicolaou | |

Kyler Siegel | New constructions and computations in rigid and flexible symplectic geometry and applications to several complex variables | Yakov Eliashberg | |

Soarer (Ho Chung) Siu | Value distribution of Automorphic Forms in a Family | Kannan Soundararajan | |

Jacek Skryzalin | Numeric Invariants from Multidimensional Persistence | Gunnar Carlsson | |

Arnav Tripathy | The symmetric power and etale realization functors commute | Ravi Vakil | |

Li-cheng Tsai | Weak Universality of Interacting Particle Systems | Amir Dembo | |

Alexandr Zamorzaev | Gopakumar-Vafa conjecture for genus 0 real Gromov-Witten invariants | Eleny Ionel |

### 2014-15

Name |
Dissertation Title |
Dissertation Advisor |
First Position After Graduating |

Saran Ahuja | Mean field games with common noise | George Papanicolaou | |

Megan Bernstein | Random Walks on the Symmetric Group, Likelihood Orders, and Involutions | Persi Diaconis | |

Otis Chodosh | The geometry of asymptotically hyperbolic manifolds | Simon Brendle | |

Ralph Furmaniak | On the Structure and Complex Analysis of Dirichlet Series | Kannan Soundararajan | |

Elizabeth Goodman | Lagrangian Tori in R^4 and S^2xS^2 | Yakov Eliashberg | |

Christopher Henderson | Propagation Phenomena in Reaction-Advection-Diffusion Equations | Leonid Ryzhik | |

Peter Hintz | Global analysis of linear and nonlinear wave equations on cosmological spacetimes | Andras Vasy | |

Vitaly Katsnelson | Diffraction of Elastic Waves by Edges | Andras Vasy | |

Seung Ki Kim | On the Shape of a High-Dimensional Random Lattice | Akshay Venkatesh | |

Jeremy Leach | The Vacuum Einstein Constraint Equations on Manifolds with Ends of Cylindrical Type | Rafe Mazzeo | |

Daniel Litt | Non-Abelian Lefschetz Hyperplane Theorems | Ravi Vakil | |

Sam Nariman | Stable Moduli of Flat Manifold Bundles | Soren Galatius | |

Khoa Lu Nguyen | On Symplectic Homology of the Complement of a Positive Normal Crossing Divisor in a Projective Variety | Yakov Eliashberg | |

John Pardon | A new construction of virtual fundamental cycles in symplectic geometry | Yakov Eliashberg | |

Haizhao Yang | Oscillatory Data Analysis and Fast Algorithms for Integral Operators | Lexing Ying |

### 2013-14

Name |
Dissertation Title |
Dissertation Advisor |
First Position After Graduating |

Ulrik Buchholtz | Unfolding of Systems of Inductive Definitions | Solomon Feferman | |

Alessandro Carlotto | Rigidity and flexibility phenomena in General Relativity | Richard Schoen | |

Junsoo Ha | Some problems in multiplicative number theory | Kannan Soundararajan | |

Yuncheng Lin | On Higher q, t-Catalan Numbers | Ravi Vakil | |

Cary Malkiewich | Duality and linear approximations in Hochschild homology, K-theory, and string topology | Ralph Cohen | |

Daniel Kim Murphy | Algebraic Modular Forms on Definite Orthogonal Groups | Akshay Venkatesh | |

Amy Pang | Hopf Algebras and Markov Chains | Persi Diaconis | |

Jenya Sapir | Non-simple geodesics on surfaces | Maryam Mirzakhani | |

Fernando (Xuancheng) Shao | Dichotomy between structure and randomness in combinatorial number theory | Kannan Soundararajan |

### 2012-13

Name |
Dissertation Title |
Dissertation Advisor |
First Position After Graduating |

Henry Adams | Evasion Paths in Mobile Sensor Networks | Gunnar Carlsson | |

Rebecca Bellovin | p-adic Hodge theory in rigid analytic families | Brian Conrad | |

Jonathan Campbell | Some Results on K-Theory, Topological Hochschild Homology, and Parameterized Spectra | Ralph Cohen | |

Ilya Grigoriev | Relations Among Characteristic Classes of Manifold Bundles | Soren Galatius | |

Nicholas Haber | Microlocal analysis of Lagrangian submanifolds of radial points | Andras Vasy | |

Kenji Kozai | Singular hyperbolic structures on pseudo-Anosov mapping tori | Steven Kerckhoff | |

Brandon Levin | G-valued flat deformations and local models | Brian Conrad | |

Xiaodong Li | Sparse and Low-rank Structures in Robust Principal Component Analysis, Compressed Sensing with Corruptions, and Phase Retrieval | Emmanuel Candes | |

Michael Lipnowski | Equivariant Torsion and Base Change | Akshay Venkatesh | |

Minyu Peng | Deviation Inequalities for Eigenvalues of Deformed Random Matrices | George Papanicolaou | |

Ian Petrow | Moments of Automorphic L-Functions and Related Problems | Kannan Soundararajan | |

Maksym Radziwill | Zero-distribution and size of the Riemann zeta-function on the critical line. | Kannan Soundararajan | |

Nisan Stiennon | The moduli space of real curves and a Z/2-equivariant Madsen-Weiss theorem | Soren Galatius | |

James Zhao | A Random Walk Through Combinatorial Probability | Persi Diaconis | |

Xin Zhou | On the variational methods for minimal submanifolds | Richard Schoen |