Students
| Lawrence Gordon Roberts :On the flat cohomology of finite group schemes Harvard University, Ph.D. 1968 |
| Richard Anthony Rasala :On the structure of purely inseparable field extensions Harvard University, Ph.D. 1969 |
| John Winfield Shuck :Calculus on \(p\)-adic manifolds: With applications to number theory Harvard University, Ph.D. 1969 |
| Daniel Sion Kubert :Universal bounds on the torsion and isogenies of elliptic curves Harvard University, Ph.D. 1973 |
| William John Gordon :Linking the conjectures of Artin–Tate and Birch–Swinnerton–Dyer Harvard University, Ph.D. 1975 |
| Victor Saul Miller :Diophantine and \(p\)-adic analysis of elliptic curves and modular forms Harvard University, Ph.D. 1975 |
| Naomi G. Jochnowitz :Congruences between modular forms and implications for the Hecke algebra Harvard University, Ph.D. 1976 |
| David Mark Goss :\(p\)-adic Eisenstein series for function fields Harvard University, Ph.D. 1977 |
| Michael Howard Harris :On \(p\)-adic representations arising from descent on Abelian varieties Harvard University, Ph.D. 1977 |
| Ofer Gabber :Some theorems on Azumaya algebras Harvard University, Ph.D. 1978 |
| Bruce Winchester Jordan :On the Diophantine arithmetic of Shimura curves Harvard University, Ph.D. 1981 |
| Sheldon Kamienny :On \(J_1(p)\) and the arithmetic of the kernel of the Eisenstein ideal Harvard University, Ph.D. 1981 |
| Ron Aharon Livne :On certain covers of the universal elliptic curve Harvard University, Ph.D. 1981 |
| Glenn Howard Stevens :On congruences satisfied by special values of \(L\)-functions Harvard University, Ph.D. 1981 |
| Yevsey A. Nisnevich :Etalé cohomology and arithmetic of semisimple groups Harvard University, Ph.D. 1982 |
| David James Wright :Dirichlet series associated with the space of binary cubic forms with coefficients in a number field Harvard University, Ph.D. 1982 |
| Paul Alan Vojta :Integral points on varieties Harvard University, Ph.D. 1983 |
| Boris Abramovich Datskovsky :On zeta functions associated with the space of binary cubic forms with coefficients in a function field Harvard University, Ph.D. 1984 |
| George Thomas Gilbert :Analytic multiplicity-one theorems for \(\mathrm{GL}(n)\) Harvard University, Ph.D. 1984 |
| William Gordon McCallum :The Tate–Shafarevich group of the Jacobian of a quotient of the Fermat curve Harvard University, Ph.D. 1984 |
| Robert Michael Kuhn :On the canonical Galois closure of the universal elliptic curve over \(X_1(n)\) Harvard University, Ph.D. 1985 |
| Nigel Boston :Deformation theory of Galois representations Harvard University, Ph.D. 1987 |
| Noam David Elkies :Supersingular primes of a given elliptic curve over a number field Harvard University, Ph.D. 1987 |
| Fernando Quadros Gouvêa :Arithmetic of \(p\)-adic modular forms Harvard University, Ph.D. 1987 |
| John William Jones :Iwasawa theory at multiplicative primes Harvard University, Ph.D. 1987 |
| Minhyong Kim :Lower bounds for lattice vectors and arithmetic intersection theory Yale University, Ph.D. 1990 |
| Andrew David Schwartz :Igusa towers over Hilbert modular surfaces Harvard University, Ph.D. 1990 |
| Wayne Aitken :An arithmetic Riemann–Roch theorem for singular arithmetic surfaces Harvard University, Ph.D. 1991 |
| Jean-François H. Burnol :Weierstrass points on arithmetic surfaces Harvard University, Ph.D. 1991 |
| Keith Andrew Ramsay :Power-free values of polynomials Harvard University, Ph.D. 1991 |
| Michael Liam McQuillan :Division points on semi-Abelian varieties Harvard University, Ph.D. 1993 |
| Milja-Riitta Poe :A special \(S\)-unit equation Massachusetts Institute of Technology, Ph.D. 1993 |
| Xuesung Wang :Higher-order characteristic classes in arithmetic geometry Harvard University, Ph.D. 1993 |
| Lan Wang :Rational points and canonical heights on varieties with many elliptic fibrations Harvard University, Ph.D. 1994 |
| Siman Wong :On the Selmer groups of elliptic curves in quadratic twist families Massachusetts Institute of Technology, Ph.D. 1995 |
| David B. Carlton :Moduli for pairs of elliptic curves with isomorphic \(n\)-torsion Massachusetts Institute of Technology, Ph.D. 1998 |
| Jordan Stuart Ellenberg :Hilbert modular forms and the Galois representations attached to Hilbert–Blumenthal Abelian varieties Harvard University, Ph.D. 1998 |
| Matthew James Emerton :\(2\)-adic modular forms of minimal slope Harvard University, Ph.D. 1998 |
| Leonid Positselski :Koszul property and Bogomolov’s conjecture Harvard University, Ph.D. 1998 |
| Charles Francis Doran :Picard–Fuchs uniformization and geometric isomonodromic deformations: Modularity and variation of the mirror map Harvard University, Ph.D. 1999 |
| Catherine Helen O’Neil :Jacobians of curves of genus one Harvard University, Ph.D. 1999 |
| Michael Gregory Szydlo :Flat regular models of elliptic schemes Harvard University, Ph.D. 1999 |
| Thomas Alexander Weston :On Selmer groups of geometric Galois representations Harvard University, Ph.D. 2000 |
| Tomas Antonius Klenke :Modular varieties and visibility Harvard University, Ph.D. 2001 |
| Robert Jordan Pollack :On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime Harvard University, Ph.D. 2001 |
| Mak Trifkovic :On \(\mu\)-invariants of elliptic curves over \(\mathbb{Q}\) Harvard University, Ph.D. 2002 |
| Peter Louis Clark :Rational points on Atkin–Lehner quotients of Shimura curves Harvard University, Ph.D. 2003 |
| Yu-Ru Liu :Generalizations of the Turan and the Erdohs–Kac theorem Harvard University, Ph.D. 2003 |
| Nicholas Adam Ramsey :Geometric and \(p\)-adic modular forms of half-integral weight Harvard University, Ph.D. 2004 |
| Abhinav Kumar :\(K3\) surfaces of high rank Harvard University, Ph.D. 2006 |
| Chung Pang Mok :The exceptional-zero conjecture for Hilbert modular forms Harvard University, Ph.D. 2007 |
| Jonathan Pottharst :Selmer growth and a “triangulordinary” local condition Harvard University, Ph.D. 2008 |
| Daniel Mertz Kane :On elliptic curves, the ABC conjecture, and polynomial threshold functions Harvard University, Ph.D. 2011 |
| Fucheng Tan :Families of \(p\)-adic Galois representations Massachusetts Institute of Technology, Ph.D. 2011 |
|
Florian E. Ito Sprung
:The arithmetic of elliptic curves in towers of number fields
(Coadvised with Robert Jordan Pollack and Joseph Hillel Silverman) Brown University, Ph.D. 2013 |
| Chi-Yun Hsu :Ramification of the Hilbert eigenvariety Brown University, Ph.D. 2019 |
| Syed Waqar Ali Shah :On an approach to automorphic Euler systems Brown University, Ph.D. 2022 |
