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Ph.D. Alumni

Discover the remarkable work of our Ph.D. graduates over the past century and a half.

1920's

1929

Ph.D. Recipient	Thesis Title	Advisor
Sedgewick, Rose Whelan	Approximate solutions of certain general types of boundary value problems from the standpoint of integral equations	Jacob David Tamarkin

1930's

1930

Ph.D. Recipient	Thesis Title	Advisor
Jonah, Frederick Chapman	The Green's matrix and expansion problem for systems of integro-differential equations	Jacob David Tamarkin
Lehmer, Derrick Henry	An extended theory of Lucas' functions	Jacob David Tamarkin

1931

Ph.D. Recipient	Thesis Title	Advisor
Parker, William Vann	The addition formulas for hyperelliptic functions	Albert Bennett

1932

Ph.D. Recipient	Thesis Title	Advisor
Krall, Harry Levern	On some asymptotic relations for the characteristic values of the elliptic differential equations	Jacob David Tamarkin
Moskovitz, David	Certain irregular non-homogeneous linear difference equations	C. Raymond Adams
Moursund, Andrew Fleming, Jr.	On a method of summation of Fourier series	Jacob David Tamarkin
Smith, Aubrey Henderson	On the summability of derived series of the Fourier-Lebesgue type	Jacob David Tamarkin
Vehse, Charles Henry	Acceleration stresses in a heavy wire rope	Jacob David Tamarkin

1934

Ph.D. Recipient	Thesis Title	Advisor
Clarkson, James Andrew	Part I. On definitions of bounded variation for functions of two variables Part II. On double Riemann-Stieltjes integrals	C. Raymond Adams
Gurney, Margaret	Some general existence theorems for partial differential equations of hyperbolic type	Jacob David Tamarkin
Randels, William Conrad	Part I. On the summation of Fourier series Part II. Three examples in the theory of Fourier series	Jacob David Tamarkin
Sedgewick, Charles Hill Wallace	Generalized Lambert series	Jacob David Tamarkin
Rosskopf, Myron Frederick	Some inequalities for non-uniformly bounded ortho-normal polynomials,	Jacob David Tamarkin

1935

Ph.D. Recipient	Thesis Title	Advisor
Astrachan, Max	Studies in the summability of Fourier series by Norlund means	Jacob David Tamarkin

1936

Ph.D. Recipient	Thesis Title	Advisor
Comfort, Edwin Gustavus Hunter	On the preservation of Holder properties of initial conditions in the solutions of wave equations	Jacob David Tamarkin
Dunford, Nelson	Part I. Integration in general analysis Part II. On a theorem of Plessner Part III. A particular sequence of step functions	Jacob David Tamarkin
Hamilton, Hugh James	Part I. On transformations of double series Part II. Transformations of multiple sequences	C. Raymond Adams
Hill, John Dillard	Part I. Some theorems on double limits Part II. A theorem in the theory of summability Part III. On perfect methods of summability	C. Raymond Adams Jacob David Tamarkin
Kales, Morris Leon	Tauberian theorems related to Borel and Abel summabillity	Jacob David Tamarkin
Quade, Edward Schaumberg	Part I. The category of the class Li (a, p) Part II. A generalized Parseval's relation Part III. A note on Lipschitz classes Part IV. Trigonometric approximation in the mean	Jacob David Tamarkin

1937

Ph.D. Recipient	Thesis Title	Advisor
Morse, Anthony Perry	Convergence in variation and related topics	C. Raymond Adams

1939

Ph.D. Recipient	Thesis Title	Advisor
Day, Mahlon March	Part I. Regularity of function-to-function transformations Part II. Operations in Banach spaces	C. Raymond Admas
Bernstein, Dorothy Lewis	The double Laplace integral	Jacob David Tamarkin
O'Brien, Katharine Elizabeth	Some problems in interpolation by characteristic functions of linear differential systems of the fourth order	Jacob David Tamarkin
Torrance, Esther McCormick	Superposition of monotomic functions	Jacob David Tamarkin

1940's

1940

Ph.D. Recipient	Thesis Title	Advisor
Royall, Norman Norris, Jr.	Laplace transforms of multiply monotomic functions	Jacob David Tamarkin

1941

Ph.D. Recipient	Thesis Title	Advisor
Forsythe, George Elmer	Part I. Riesz summability methods of order r, for R(r) < 0 Part II. Cesaro summability of independent random variables	Jacob David Tamarkin William Feller
Eberhart, Paul	On the summation of derived series of Fourier series and conjugate series	Jacob David Tamarkin
Schmidt, Olaf Henrik	On the relation between ancient mathematics and spherical astronomy	Otto Edward Neugebauer

1942

Ph.D. Recipient	Thesis Title	Advisor
Hedge, Lafayette Boyd	Part I. Moment problem for a bounded region Part II. Transformations of multiple Fourier series	Jacob David Tamarkin

1943

Ph.D. Recipient	Thesis Title	Advisor
Beesley, Edward Maurice	Part I. Concerning total differentiability of functions of class P Part II. f-Cantorian functions and their convex moduli	C. Raymond Adams Anthony. P. Morse
Eberhart, Paul	On the summation of derived series of Fourier series and conjugate series	Jacob David Tamarkin
Schmidt, Olaf Henrik	On the relation between ancient mathematics and spherical astronomy	Otto Edward Neugebauer

1945

Ph.D. Recipient	Thesis Title	Advisor
Diaz, Joaquin Basilio	On a class of partial differential equations of even order	Lipman Bers
Munroe, MarsPeter Hall Evans	On certain generalizations of the fundamental theorem of integral calculus	C. Raymond Adams

1946

Ph.D. Recipient	Thesis Title	Advisor
Greenberg, Herbert Julius	The Determination of Upper and Lower Bounds for the Solution of the Dirichlet Problem	William Prager
Handelman, George Herman	Part I. Some problems in the study of thin-walled plastic sections Part II. Aerodynamic pursuit curves for overhead attacks	William Prager
Kincaid, Wilfred MacDonald	Part I. On non-cut sets of locally connected continua Part II. An application of orthogonal moments to prolems in statically indeterminate structures Part III. Numerical methods for finding the characteristic roots and vectors of matrices	Peter Hall William Feller
Protter, Murray Harold	Generalized spherical harmonics	Lipman Bers
Tolsted, Elmer Beaumont	Limiting values of subharmonic functions	Jacob David Tamarkin
Western, Donald Ward	Inequalities of the Markoff and Bernstein type for integral norms	Paul Charles Rosenbloom Jacob David Tamarkin Antoni Zygmund

1947

Ph.D. Recipient	Thesis Title	Advisor
Epstein, Bernard	A method for the solution of the Dirichlet problem for certain types of domains	Maurice Heins
Shu, Shien-Siu	The method of successive approximations as applied to compressible flow problems	Paul G. Loewner
Wilansky, Albert	An application of Banach linear functionals to summability	C. Raymond Adams

1949

Ph.D. Recipient	Thesis Title	Advisor
Freilich, Gerald	On the measure of Cartesian product sets	Herbert Federer
Sholander, Marlow C.	On the existenxe of the inverse operation in alternation groupoids On certain minimum problems in the theory of convex curves	Albert Bennett C. Raymond Adams

Ph.D. Recipient

Thesis Title

Advisor

Freilich, Gerald

On the measure of Cartesian product sets

Herbert Federer

Sholander, Marlow C.

On the existenxe of the inverse operation in alternation groupoids

On certain minimum problems in the theory of convex curves

Albert Bennett

C. Raymond Adams

1950's

1950

Ph.D. Recipient	Thesis Title	Advisor
Arsove, Maynard G.	Functions representable as differences of subharmonic functions	Maurice Heins
Moore, Edward F.	Part I. Convexly generated k-dimensional measures Part II. Density ratios and (phi - 1)-rectifiability in n-space	Herbert Federer
Schmied, Robert W.	Limiting forms of Green's functions and Harnack's inequality for multiply connected plane regions	Unknown

Ph.D. Recipient

Thesis Title

Advisor

Arsove, Maynard G.

Functions representable as differences of subharmonic functions

Maurice Heins

Moore, Edward F.

Part I. Convexly generated k-dimensional measures

Part II. Density ratios and (phi - 1)-rectifiability in n-space

Herbert Federer

Schmied, Robert W.

Limiting forms of Green's functions and Harnack's inequality for multiply connected plane regions

Unknown

1951

Ph.D. Recipient	Thesis Title	Advisor
Clarke, Allen B.	On the representations of cardinal algebras by direct sums	Bjarnu Jonsson
Wagner, Daniel H.	On free products of groups	Bjarnu Jonsson Herbert Federer

Ph.D. Recipient

Thesis Title

Advisor

Clarke, Allen B.

On the representations of cardinal algebras by direct sums

Bjarnu Jonsson

Wagner, Daniel H.

On free products of groups

Bjarnu Jonsson

Herbert Federer

1952

Ph.D. Recipient	Thesis Title	Advisor
Moore, John C.	Some applications of homology theory to homotopy problems	George W. Whitehead
Schatz, Joseph A.	Representations of Banach algebras with an involution	Charles E. Rickart

1953

Ph.D. Recipient	Thesis Title	Advisor
Tompson, Robert N.	Areas of k-dimensional nonparametric surfaces in (k + 2)-space	Herbert Federer

1954

Ph.D. Recipient	Thesis Title	Advisor
Wolk, Elliot S.	Representations of topological algebras	R. Creighton Buck

1955

Ph.D. Recipient	Thesis Title	Advisor
Palermo, Frank P.	Cohomology rings of product complex	William S. Massey
Smith, Edgar C., Jr.	Higher degrees of distributivity and completeness in Boolean algebras	Alfred Tarski Bjarnu Jonsson

Ph.D. Recipient

Thesis Title

Advisor

Palermo, Frank P.

Cohomology rings of product complex

William S. Massey

Smith, Edgar C., Jr.

Higher degrees of distributivity and completeness in Boolean algebras

Alfred Tarski

Bjarnu Jonsson

1956

Ph.D. Recipient	Thesis Title	Advisor
Slepian, Paul	The theory of the Lebesgue area of continuous maps of 2-manifolds into n-space; The Lebesgue area of a doubled map	Herbert Federer

1957

Ph.D. Recipient	Thesis Title	Advisor
Demers, Maurice R.	On Lebesgue area	Herbert Federer
Lewis, Charles J.	The problem of Milloux for functions analytic in an open annulus	Maurice Heins

1958

Ph.D. Recipient	Thesis Title	Advisor
Stockton, Doris G. S. (Mrs.)	Singular parabolic partial differential equations with time dependent coefficients	Joanne Elliot

1959

Ph.D. Recipient	Thesis Title	Advisor
Eisenberg, Edmund	Aggregation of utility functions	David Gale
Lighthall, Harry, Jr.	A study of a model of multi-commodity dynamic economy	David Gale
Malm, Donald G.	On the cohomology ring of a sphere bundle	William S. Massey

1960's

1960

Ph.D. Recipient	Thesis Title	Advisor
Kamowitz, Herbert M.	Cohomology groups of commutative Banach algebra	John Wermer
Lundell, Albert T.	Obstruction theory of principal fiber bundles	William S. Massey
Mitchell, Barry M.	Homological tic tac toe	David Buchsbaum

1961

Ph.D. Recipient	Thesis Title	Advisor
Ziemer, William P.	Integral currents mod 2	Wendell H. Fleming

1962

Ph.D. Recipient	Thesis Title	Advisor
Almgren, Frederick J., Jr.	The homotopy groups of the integral cycle groups	Herbert Federer
Voichick, Michael	Closed ideals and closed invariant subsplaces of analytic functions	John Wermer

1963

Ph.D. Recipient	Thesis Title	Advisor
Roberts, Howard M.	On the dual Pontrjagin classes of a manifold	William S. Massey
Tyndall, William F.	A duality theorem for a class of continuous linear programming problems	David Gale

1964

Ph.D. Recipient	Thesis Title	Advisor
Brothers, John E.	Integral geometry in homogeneous spaces	Herbert Federer
Kumpel, Paul G., Jr.	On the homotopy groups of the exceptional Lie groups	Bruno Harris
Ruh, Ernst A.	On the automorphism groups of a G-structure	Katsumi Nomizu

1965

Ph.D. Recipient	Thesis Title	Advisor
Howard, Alan	On the homotopy groups of an affine algebraic hypersurface	Theodore Frankel
O'Neill, Bernard V., Jr.	Parts and one-dimensional analytic spaces	John Wermer
Ramanuja, Srinivasa	An application of Morse theory to certain symmetric spaces	Theodore Frankel
Richardson, Henry R., III	Regression analysis when the least-squares estimate is not asymptotically efficient	Murray Rosenblatt

1966

Ph.D. Recipient	Thesis Title	Advisor
Arnold, Leslie K.	On finite invariant measures	Yuji Ito
Lewowicz, Jorge	On relative invariant sets	Mauricio Peixoto
Smyth, Brian B.	Differential geometry of complex hypersurfaces	Katsumi Nomizu
Norvig, Torsten	A convergence theorem for linear economic exchange models	David Gale

1967

Ph.D. Recipient	Thesis Title	Advisor
Bell, David	Poincare series representations of automorphic forms	Lipman Bers
Drachman, Byron C.	Homotopy multiplicities	Allan H. Clark
Jonah, David W.	Cohomology of co-algebras	George F. Leger
Sutherland, William R. S.	On optimal development programs when future utility is discounted	David Gale

1968

Ph.D. Recipient	Thesis Title	Advisor
Allard, William K.	On boundary regularity for the Plateau problem	Wendell H. Fleming
Brennan, James E.	Point evaluations and invariant subspaces	John Wermer
Hallstrom, Alfred P.	Bounded point derivations and other topics concerning rational approximation	Andrew Browder
Leonard, Peter C.	G-structures on spheres	Bruno Harris
Ryan, Patrick J.	Homogeneity and some curvature conditions for hypersurfaces	Katsumi Nomizu

1969

Ph.D. Recipient	Thesis Title	Advisor
Grove, Edward A.	SO(n) actions on differentiable manifolds with vanishing first and second integral Pontrjagin classes	Wu-Yi Hsiang
Kiley, William T.	Automorphism groups on compact Riemann surfaces	Robert D. M. Accola
Markoe, Andrew G.	New techniques in deformation of complex structures	Gabriel Stolzenberg
Rosenberg, Alan E.	On the semi-simplilcity of the group algebra	Michael I. Rosen
Tannenwald, Ronald M.	Generic properties of dynamical systems on open manifolds	Mauricio Peixoto

1970's

1970

Ph.D. Recipient	Thesis Title	Advisor
Abe, Kinetsu	Relative curvature and applications to submanifolds in space firms	Katsumi Nomizu
Derrig, Richard A.		Yiji Ito
Erbacher, Joseph A.	Isometric immersions of Riemannian manifolds into space forms	Katsumi Nomizu
Ernst, Lawrence R.	A proof that C2 and T2 are distinct measures and a characterization of certain Cartesian product measure by invariance	Herbert Federer
Tillman, Stephen J.	On quadratic forms over a certain class of function fields	Michael I. Rosen
Weiss, Michael D.	Restricted topological entropy and its application to problems in ergodic theory	Yuji Ito

1971

Ph.D. Recipient	Thesis Title	Advisor
Ewing, John H.	On the type of associate H-spaces	Allan H. Clark
Fraser, David F.	Rates of convergence for a probabilistic solution to the Dirichlet problem	Stanley Sawyer
Hardt, Robert M.	Slicing and intersection theory for chains associated with real analytic varieties	Herbert Federer
Preskenis, Kenneth J.	Approximation on disks	Andrew Browder
Stodghill, Jack R.	On the Adams operators and exterior powers of a simple Lie algebra	Bruno Harris
Warfield, Virginia, P.	A stochastic maximum principle	Wendell H. Fleming

1972

Ph.D. Recipient	Thesis Title	Advisor
Basener, Richard F.	On rationally convex hulls	John Wermer
Brandstein, Alfred G.	Function spaces related to hypo-Dirichlet algebras	John Wermer
Galovich, Steven P.	Nibs and pics	Michael I. Rosen
O'Connell, John M. F.	Real parts of uniform algebras	John Wermer

1973

Ph.D. Recipient	Thesis Title	Advisor
Bond, Robert J.	When does the Galois group determine the field; the function field class	Michael I. Rosen
Cecil, Thomas E.	Geometric applicsations of critical point theory to submanifolds, complex projective space and hyperbolic space	Katsumi Nomizu
Chen, Chi-Cheng	On the residues of meromorphic vector fields	Paul Baum
Costa, David G.	The uniform behavior of solutions of linear hyperbolic systems for large times	Walter A. Strauss
Cox, Lawrence H.	One-parameter formal A-modules over p-adic integer rings	Jonathan D. Lubin
O'Farrell, Anthony G.	Capacities in uniform approximation	Brian Cole
Rodrigues, Lucio	Relative tightness and the two-piece property for manifolds with boundary	Thomas F. Banchoff
Wolf, Joel L.	The cohomology of homogeneous spaces and related topics	Paul Baum

1974

Ph.D. Recipient	Thesis Title	Advisor
Dippolito, Paul R.	Quasibundles in codimension one foliations	Robert D. MacPherson
Wang, James Li-Ming	An approximate Taylor's theorem for R(X)	Andrew Browder
Perla-Menzala, Gustavo	On the inverse problem for three-dimensional potential scattering	Walter A. Strauss

1975

Ph.D. Recipient	Thesis Title	Advisor
Mitchell, Alan R.	Meromorphic vector fields and Atiyah characteristic classes in topology	Paul Baum

1976

Ph.D. Recipient	Thesis Title	Advisor
Goresky, R. Mark	Geometric cohomology and homology of stratified objects	Robert D. MacPherson
Johnson, Kent W.	Immersion and embedding of projective varieties	William E. Fulton
Kelmanson, Milton L.	Stochastic approximation algorithms for the sequential Monte Carlo optimization of stochastic systems	Harold J. Kushner
Lin, Jeng-Eng	Time decay of two conservative equations	Walter A. Strauss
Wolf, Edwin M.	Bounded point evaluations and smoothness properties of functions in RP(X)	Andrew Browder

1977

Ph.D. Recipient	Thesis Title	Advisor
Graves, Larry K.	Codimension one isometric immersions between Lorentz spaces	Katsumi Nomizu
Jones, Jeffrey P.	Generators of the disk algebra	John Wermer
Lima, Paulo	Hopf bifurcation in equations with infinite delays	Harold J. Kushner
Polansky, Paul J.	Multi-dimensional stochastic population models	Wendell H. Fleming
Quart, George J.	A fixed point formula for singular varieties	William E. Fulton
Young, Christopher A.	Function rings of algebraic varieties	Alan Landman
Zamlong, Stuart	The extension of Milnor's exact sequence of Witt rings for hyperelliptic curves and the co-kernel of for special hyperelliptic curves	Michael I. Rosen

1978

Ph.D. Recipient	Thesis Title	Advisor
Cornell, Gary	Genus fields and class groups of number fields	Michael I. Rosen
Harrop, Frederick F.	Nilradicals of Witt rings of certain classes of Dedekind domain	Michael I. Rosen
Magid, Martin	Isometric immersions between indefinite flat spaces with parallel second fundamental forms	Katsumi Nomizu

1979

Ph.D. Recipient	Thesis Title	Advisor
Hwang-Ma, Shu-Yin	A nilpotent generalization of the Jacobian variety of a compact Riemann surface	Bruno Harris
Lee, Hsuan-Pei	Orthogonal measures for subsets of the boundary of the ball in C²	John Wermer
Shakiban, Chehrzad	The Euler operation in the formal calculus of variation	Wendell H. Fleming
Stormes, James M.	A natural transformation K * KO analogous to the Bockstein homomorphism	Paul Baum
Wake, Robert A.	The Tate-Shafarevich group for an elliptic curve	Jonathan D. Lubin

1980's

1980

Ph.D. Recipient	Thesis Title	Advisor
Anderson, Stephen L.	Green's functions, Jensen measures, and bounded point evaluations	John Wermer
Damiano, David B.	Webs, Abelian equations, and characteristic classes	Robert D. MacPherson
Hansen, Johan P.	A connectedness theorem for flagmanifolds and Grassmannians and singularities of morphisms to P^m	William E. Fulton
Lazarsfeld, Robert K.	Branched coverings of projective space	William E. Fulton
McNertney, Louise V. (Mrs. Berard)	One-parameter families of surfaces with constant curvature in Lorentz 3-space	Thomas F. Banchoff
Mitchell, Kevin J.	Foldings and crimpings of algebraic varieties	Alan Landman

1981

Ph.D. Recipient	Thesis Title	Advisor
Keller, Clayton H., Jr.	Automorphisms of stationery solutions of semilinear wave equations	Walter A. Strauss
Scheim, Charles H., Jr.	Automorphisms of compact Riemann surfaces	Robert D. M. Accola
Wolper, James S.	Theta functions and automorphisms of Riemann surfaces	Robert D. M. Accola

1982

Ph.D. Recipient	Thesis Title	Advisor
Diaz, Steven	Exceptional Weierstrass points and the divisor on moduli space that they define	Joseph Harris
Haskell, Peter E.	Intrinsically defined cycles in the K homology of singular curves	Paul Baum
Horowitz, Tony	Varieties of low relative degree	Joseph Harris
Klapper, Andrew	Canonical Subgroups of Formal Groups of Arbitrary Dimension.	Jonathan Lubin
Liao, Yu-Chung	Optimal control of a Brownian motion and its approximation to queuing process	Wendell H. Fleming
McGuinness, Francis Oisin	The Cassels pairing in a family of elliptic curves	Jonathan D. Lubin
Richters, Stephen	H^p spaces in tubes and the representation of tempered disributions by holomorphic functions	Andrew Browder
Tabak, Barbara L.	Harmonic maps and foliations	Bruno Harris

1983

Ph.D. Recipient	Thesis Title	Advisor
Hill-Tout, Barry	A Local Euler invariant for real algebraic singularities	Clint G. McCrory
Keem, Changho	A remark on the variety of special linear systems on an algebraic curve	Joseph Harris
Khavinson, Dmitry S.	On a geometric approach to problems concerning Cauchy integrals and rational approximation	John Wermer
Migliore, Juan C.	Topics in the theory of liaison of space curves	Joseph Harris
Sheu, Shuenn-Jyi	Optimal control and its applications to large deviation theory	Wendell H. Fleming
Vilonen, Kari	Intersection homology D-modules on hypersurfaces with isolated singularities	Robert D. MacPherson

1984

Ph.D. Recipient	Thesis Title	Advisor
Blomstrom, Carol	Extrinsically symmetric and planar geodesic isometric immersions in pseudo-Riemannian space forms	Katsumi Nomizu
Dorman, David	Prime factorization of singular moduli	Benedict H. Gross
Ryan, Kevin	Schubert varieties in the flag manifold of SO(n, C)	Robert D. MacPherson
Spyropoulos, Konstantine	Certain Diophantine equations of degree three and four	Michael I. Rosen

1985

Ph.D. Recipient	Thesis Title	Advisor
Shepard, Allen D.	A cellular description of the derived category of a stratified space	Robert D. MacPherson
Zimmermann, Karl	Subgroups of generic formal groups	Jonathan D. Lubin

1986

Ph.D. Recipient	Thesis Title	Advisor
Anderson, John	Algebras of solutions to partial differential equations	John Wermer
Coghlan, C. Leslie	Tight stable mappings of surfaces	Thomas F. Banchoff
Deutsch, Jesse I.	Identities on modular forms in several variables derivable from Hecke transformations	Harvey Cohn (Cuny) Michael I. Rosen
Freije, Richard M.	Intersection formulae and volume calculations for Mumford curves	Benedict H. Gross
Garrity, Thomas	On ample vector bundles and negative curvature	William E. Fulton
Napolitano, Margaret	Higher dimensional formal groups and the formal group of the Jacobian	Michael I. Rosen
O'Grady, Kieran	Moduli of abelian and K3 surfaces	Joseph Harris
Schwalbe, Daniel	K-theory for discrete subgroups of the Lorentz group	Paul Baum

1987

Ph.D. Recipient	Thesis Title	Advisor
Aluffi, Paolo	On some characteristic numbers for smooth plane curves	William E. Fulton
Cukierman, Fernando M.	Families of Weierstrass points	Joseph Harris
McConnell, Mark W.	Projective configurations and locally symmetric spaces associated to SL(n,R)	Robert D. MacPherson
Ulmer, Douglas L.	The arithmetic of universal elliptic modular curves	Benedict H. Gross

1988

Ph.D. Recipient	Thesis Title	Advisor
Buyske, Steven G.	Lie sphere transformations and the focal sets of hypersurfaces	Katsumi Nomizu
Curtin, Eugene	Intermediate tautness and relative tautness for submanifolds	Thomas F. Banchoff
Faucette, William M.	Harmonic volume, symmetric products, and the Abel-Jacobi map	Bruno Harris
Hanamura, Masaki	Motives of perverse sheaves	Robert D. MacPherson
Kerckhove, Michael G.	Conformal transformations of pseudo-Riemannian Einstein manifolds	Katsumi Nomizu
Lopez, Angelo	On the Picard group of projective surfaces	Joseph Harris
Solomon, David R.	On Lichtenbaum's conjecture in the case of number fields	Ted C. Chinburg

1989

Ph.D. Recipient	Thesis Title	Advisor
Friesen, Christian	Continued fractions and real quadratic function fields	Michael I. Rosen
Kuwaya, Masato	Mordell-Weil groups and elliptic K3 surfaces	Joseph H. Silverman
Loe, Brian J.	Scattering by potentials of unbounded support	Walter A. Strauss
McLaughlin, Dennis	String structures on loop space	Jean-Luc Brylinski
Zamboni, Luca	A Chern character in cyclic homology	Jean-Luc Brylinski

1990's

1990

Ph.D. Recipient	Thesis Title	Advisor
Hironaka, Eriko	Abelian coverings of CP² branched along configurations of real lines	Alan Landman
Johnson, Ockle E.	Chain level Whitney duality theorems for simplicial manifolds	Thomas F. Banchoff
Park, Hwasin	Idempotent relations and the conjecture of Birch- and Swinnerton-Dyer	Joseph H Silverman

1991

Ph.D. Recipient	Thesis Title	Advisor
Baragar, Arthur	The Markoff equation and equations of Hurwitz	Joseph H. Silverman
Chang, Xiang-Qian	Weighted norm equality for martingales	Andrew Browder
Donohoe, William A.	Generalized Castelnuovo inequalities	Robert D. M. Accola
Huang, Ying	Floquet theory for linear periodic differential delay equations	John Mallet-Paret
Johnson, Brenda	The derivatives of homotopy theory	Thomas G. Goodwillie

1992

Ph.D. Recipient	Thesis Title	Advisor
Crannell, Annalisa	The existence of many periodic non-travelling solutions to the Boussinesq equation	Walter Craig
Lieman, Daniel Bennett	Automorphic forms and cubic twists of elliptic curves	Jeffrey Hoffstein
Shu, Linghsueh	Cyclotomic type theorems over global function fields	Michael I. Rosen

1993

Ph.D. Recipient	Thesis Title	Advisor
Arone, Gregory	The Taylor tower of the stable homotopy of the mapping spaces	Thomas G. Goodwillie
Cai, Hongsheng	Dispersive smoothing effects for generalized and high order KdV type Equations	Walter Craig
Cervone, Davide P.	Vertex-minimal simplicial immersion of surfaces into three-space	Thomas F. Banchoff
Chen, Yen-Mei Julia	Descent via 3-isogenies on elliptic curves	Joseph H. Silverman
Chua, Seng-Kiat	Arithmetic of etale quotient varieties	Joseph H. Silverman
Guo, Yan	Boundary problems for the Vlasov-Maxwell system	Walter A. Strauss
Lee, Chaujun Isaac	Generalized affine rotation surfaces	Katsumi Namizu
Lim, Nancy Lee	The L^p Dirichlet problem for second order elliptic operators with nonsmooth coefficients	Jill C. Pipher
Lydakis, Manos George	Fixed point problems, equivariant stable homotopy, and a trace map for the algebraic K-theory of a point	Thomas G. Goodwillie
Meng, Guo-wu	The stability theorem for smooth concordance imbeddings	Thomas G. Goodwillie
Sauerberg, James John	Kummer theory for Lubin-Tate groups	Michael I. Rosen
Towse, Christopher	Weierstrass points on cyclic covers of the projective line	Joseph H. Silverman

1994

Ph.D. Recipient	Thesis Title	Advisor
Choksi, Rustum	Two Topics on the Equations of Solid Mechanics: The Incompressible Limit in Nonlinear Elasticity and Conservations Laws in Fibre-Reinforced Materials	Constantine Dafermos
Gorman, John Rober	L-Functions of Orders at Zero	Stephen Lichtenbaum
Hsia, Liang-chung	A weak Neron model with applications to p-adic dynamical systems	Joseph H. Silverman
Li, Hua-chieh	p-adic dynamical systems	Michael I. Rosen
Liu, Yue	Instability of Solutions for Generalized Boussinesq Equations	Walter A. Strauss
Pagano, Andrea	Analyticity of Bergman Isometries	Kang-Tae Kim
Tsalidis, Stavros	The equivariant structure of topological Hochschild homology and the topological cyclic homology of the integers	Thomas G. Goodwillie
Wang, Bin	Archimedean Height Pairing	Bruno Harris

1995

Ph.D. Recipient	Thesis Title	Advisor
Dutta Gupta, Shamita	Average Value of Quadratic Twists of L-Functions over Function Fields	Jeffrey Hoffstein
Geloneze-Neto, Antonio	Cusp Parity and Generalized Riemann-Hurwitz Formulas for Simplicial Maps	Thomas F. Banchoff
Saccone, Scott Frank	A Study of Strongly Tight Uniform Algebras	Brian Cole
She, Xiaotie	On the Nonvanishing of Cubic Twists of Automorphic L-Series	Jeffrey Hoffstein

1996

Ph.D. Recipient	Thesis Title	Advisor
Andreano, Federica	Approximation Problems For Singularity Sets	John Wermer
Li, Chao-Qun	Z_p-Extensions of Function Fields over Finite Fields	Michael I. Rosen
Menochi, Gisele Maria Vecchi	Average Value of Class Numbers in Cyclic Extensions of F(T)	Michael I. Rosen
Ramachandran, Niranjan	Mixed Motives of Schemes	Stephen Lichtenbaum

1997

Ph.D. Recipient	Thesis Title	Advisor
Levandosky, Steven	Stability and Asymptotic Behavior of Higher Order Nonlinear Waves	Walter Strauss
Luo, Chenghui	Numerical Invariants and Classification of Smooth and Polygonal Plane Curve	Thomas F. Banchoff
Rizzo, Ottavio	On the Variation of Root Numbers of Families of Elliptic Curves	Joseph H. Silverman
Whittlesey, Marshall	Analytic structure in polynomial hulls and singularity sets	John Wermer
Yang, Seong-deog	On a connected sum construction for complete minimal surfaces of finite total curvature	Nicolaos Kapouleas

1998

Ph.D. Recipient	Thesis Title	Advisor
Benedetto Robert	Fatou Components in p-adic Dynamics	Joseph H. Silverman
Chin, Bing	Stabilization of a Sequence of Images	Donald McClure
Dreibelbis, Daniel	A bitangency theorem for surfaces in Euclidean four-space	Thomas Banchoff
Holden, Joshua	On the Fontaine-Mazur Conjecture for Number Fields and an Analogue for Function Fields	Michael Rosen
Hukovic, Sanja	Bellman Functions and Singular Integrals in Weighted Spaces	Jill Pipher
Papanikolas, Matthew	Canonical Heights in Characteristic p	Joseph H. Silverman

1999

Ph.D. Recipient	Thesis Title	Advisor
Benson, Julie Lynn	Gain of Regularity for Nonlinear Dispersive Equations in Two Spatial Dimensions	Walter Strauss
Diaconu, Calin Adrian	Applications of the double Dirichlet series to quartic twists	Jeffrey Hoffstein
Jamison, Danielle Lynn	Local Hardy Spaces and Non-Linear Quantities Arising in the Theory of Compensated Compactness	Jill Pipher
Lee, Yoonjin	Cohen-Lenstra Heuristics and the Spiegelungssatz	Michael Rosen
Zhao, Jianqiang	Hopf Algebra Structure of Generalized Scissors Congruence Groups	Alexander Goncharov

2000's

2000

Ph.D. Recipient	Thesis Title	Advisor
Akhtar, Reza	Milnor K-theory and Zero-Cycles on Algebraic Varieties	Stephen Lichtenbaum
Fridman, Artur	Mixed Markov Fields	David Mumford
Getachew, Selemon	Galois Theory of Polynomial Iterates	Joseph H. Silverman
Ih, Su Ion	Height Uniformity for Algebraic and Integral Points on Curves	Joseph H. Silverman
Lepsky, Olga	High Order Numerical Methods for Nonlinear Hamilton-Jacobi Equations and Approximations to Solutions of Stationary Boundary	Chi-Wang Shu
Muscalu, Camil	LP Estimates for Multilinear Operators Given by Singular Symbols	Jill Pipher
Reid, Michael	Investigations into Gross' Generalized Class Number Formula and the p-adic Stark Conjecture	Michael Rosen

2001

Ph.D. Recipient	Thesis Title	Advisor
Sarkis, Ghassan Y.	Dynamical Systems and Formal Groups	Jonathan Lubin
Wazir, Rania	Arithmetic on Elliptic Threefolds	Joseph H. Silverman

2002

Ph.D. Recipient	Thesis Title	Advisor
Bekyel, Ebru	Minimal Weierstrasse Equations for Elliptic Curves Over Global Fields	Joseph H. Silverman
Hwang, Huang Ju	Rayleigh-Taylor Instability and Regularity for the Vlasov System	Yan Guo
Soule, Steve Thomas	Branched Extensions of Codimemsion One Maps	Thomas Banchoff
Vassilakis, Theodore	On A Conjecture of Bando-Siu	Georgios Daskalopoulos

2003

Ph.D. Recipient	Thesis Title	Advisor
Brubaker, Benjamin Brock	Analytic Continuation for Cubic Multiple Dirichlet Series	Jeffrey Hoffstein
Jafari, Amir	Framed Mixed Hodge Structures Associated to Iterated Integrals and Strong Suslin Reciprocity Laws on Curves	Alexander Goncharov
Lin, Zhiwu	Stability and Instability of Equilibria in Collisionless Plasmas and Ideal Plane Flows	Walter Strauss
Munson, Brian Andrew	Embeddings in the 3/4 Range	Thomas G. Goodwillie
Pacelli, Allison	The Structure of the Class Group in Global Function Fields	Michael I. Rosen
Volic, Ismar	Finite Type Knot Invariants and Calculus of Functors	Thomas G. Goodwillie

2004

Ph.D. Recipient	Thesis Title	Advisor
Christoforou, Cleopatra Christou	Hyperbolic Systems of Balance Laws via Vanishing Viscosity	Constantine Dafermos
Horozov, Ivan Emilov	Euler characteristics of arithmetic groups	Alexander Goncharov Stephen Lichtenbaum
Karageorgis, Paschalis	Nonlinear Waves with Sign-changing Potentials	Walter Strauss
Leonard, Kathryn Elizabeth	Measuring Shape Space: E-entropy, Adaptive Coding and Two-dimensional Shape	David Mumford
Wang, Qingxue	Multiple polylogarithm motives and moduli spaces Mo, n	Alexander Goncharov Stephen Lichtenbaum

2005

Ph.D. Recipient	Thesis Title	Advisor
Acquista, Karen Elisa	A generation of class field theory using motivic complexes	Stephen Lichtenbaum
Jones, Raphael Falk	Galois Martingales and the Hyperbole Subset of the p-adic Mandelbrot Set	Joseph H. Silverman
Joyce, Michael Orin	Rational Points on the E6 Cubic Surface	Joseph H. Silverman
Lauzon, Michael Peter	Harmonic analysis for vector-valued functions	Sergei Treil
Walter, Benjamin, Charles	Rational Homotopy Calculus of Functors	Thomas G. Goodwillie
Wick, Brett Duane	Analytic Projections, The Geometry of Holomorphic Vector Bundles and Applications to the Corona Problem	Sergei Treil

2006

Ph.D. Recipient	Thesis Title	Advisor
Bucur, Alina Ioana	On the Simultaneous Nonvanishing of Quadratic Twists of GL(2) L-series Over the Rational Function Field	Jeffrey Hoffstein
Quang, Minh Ha	Reproducing Kernel Hilbert Spaces in Learning Theory	Jill Pipher
Hur, Mikyoung	Steady Water Waves with Vorticity	Walter Strauss
Jiang, Yongbin	Weil-tale topology over local rings	Stephen Lichtenbaum
Wilkin, Graeme Peter	An analytic Stratification of the Space of Higgs	Georgios Daskalopoulos
Xing, Yulong	High order well-balance numerical schemes for hyperbolic systems with source terms	Chi-Wang Shu

2007

Ph.D. Recipient	Thesis Title	Advisor
Chen, Ming	Analysis of some nonlinear dispersive waves in a compressible hyperelastic plate	Walter Strauss
Hutz, Benjamin	Arithmetic Dynamics on Varieties of Dimension Greater than 1	Joseph H. Silverman
Jang, Juhi	Diffusive Expansion in Kinetic Theory and Dynamics of Gaseous	Yan Guo
King, Michael	Cluster ensembles of Type An and the Canonical Map for Configuration Spaces	Alexander Goncharov
Manes, Michelle	Arithmetic Dynamics of Rational Maps	Joseph H. Silverman

2008

Ph.D. Recipient	Thesis Title	Advisor
Kwon, Hyun-Kyoung	Similarity of Operators and Geometry of Eigenvector Bundles	Sergei Treil
Miller, Stephen Francis	The Calculus of Equivariant Spectra and a Classification of Degree 2 Endofunctors	Thomas G. Goodwillie
Stange, Katherine Elisabeth	Elliptic Nets and Elliptic Curves	Joseph H. Silverman
Wise, Jonathan Samuel Dennis	The genus zero Gromov-Witten invariants of [Sym² P²] and the enumerative geometry of hyperelliptic curves in P²	Dan Abramovich
Yasufuku, Yu	Vojta’s Conjecture and Blowups	Joseph H. Silverman

2009

Ph.D. Recipient	Thesis Title	Advisor
Katz, Daniel Jason	Sumfree Subsets in Cubes of Arbitrary Dimension	Joseph H. Silverman
Liaw, Constanze Dong-Li	Singular Integrals and Rank One Perturbations	Sergei Treil
Lin, Yu-Lin	Perturbation Theorems for Hele-Shaw Flows and Their Applications	Govind Menon
Park, Donghoon	1-Motives with Torsion and Cartier Duality	Stephen Lichtenbaum
Tsikkou, Charis	Hyperbolic Conservation Laws with Large Initial Data. Is the Cauchy Problem Well-Posed? BV Estimates for the P-System.	Constantine Dafermos
Ulfarsson, Henning	Extending Grothendieck Topologies to diagram categories and Serre functors on diagam schemes	Dan Abramovich

2010's

2010

Ph.D. Recipient	Thesis Title	Advisor
Lee, Chong Gyu	Height Estimates for Rational Maps	Joseph H. Silverman
Salikhov, Konstantin	Multiple Points of Immersions	Thomas G. Goodwillie

2011

Ph.D. Recipient	Thesis Title	Advisor
Ben-Artzi, Jonathan	Linear Instability of Nonmonotone Super Heated Plasmas	Walter Strauss
Chen, Qile	Logarithmic Stable Maps to Deligne - Faltings Paris	Dan Abramovich
Chhita, Sunil	Scaling Windows of Dimer Models	Richard Kenyon
Giansiracusa, Noah	Birational Models from Rational Normal Curves	Dan Abramovich
Gokturk, Ali	Comparison of Teichmuller Geodesics and Weil-Peterson Geodesics	Jeffrey Brock
Kim, Chanwoo	Initial Boundry Value Problem of the Boltzmann Equation	Yan Guo
Li, Zhongyang	Vertex Models Ising Models and Fisher Graph	Richard Kenyon
Ma, Xiaomin	Discrepancy of Point Distributionin Two Dimensions and Appication of Quasi-Monte Carlo Method in Intehral Estimation	Jill Pipher
Spencer, Matthew	Parameter Spaces of Power Series in Finite Characteristic	Joseph H. Silverman
Xiao, Xiao	Geometric-Arithmetic Averaging of Dyadic Weights, and Multi-Parametre Harmonic Analysis	Jill Pipher
Zhang, Xiangxiong	Maximum-Princile-Satifying and Positivity-Preserving High Order Schemes for Conservation Laws	Chi-Wang Shu

2012

Ph.D. Recipient	Thesis Title	Advisor
Lin, Quahui	On the Interactions of Dispersive Modes and Solition Dynamics	Justin Holmer
Sahinoglu, Hatice	On the Independence of Heegner Points	Joseph H. Silverman
Wu, Yunhui	Isometries on CAT (0) Spaces, Interation of Mapping Classes and Weil-Peterson Geometry	Jeffrey Brock

2013

Ph.D. Recipient	Thesis Title	Advisor
Anderson, Jacqueline	P-Adic Analogues of the Mandelbrot Set	Joseph H. Silverman
Davis, Diana	Cutting Sequences on Translation Surfaces	Richard Schwartz
Hong, Younghun	Nonliniar Schoedinger Equations with Potentials	Justin Holmer
Hulse, Thomas	Triple Shifted Sums of Automorphic L-Functions	Jeffrey Hoffstein
Lim, Li-Mei	Multiple Dirchlet Series Associated to Prehomogeneous Spaces and the Relation with GL (3) Eisenstein Series	Jeffrey Hoffstein
Muthaih, Dinikar	Double MV Cycles, Affine PBW Bases, and Crystal Combinatorics	Alexander Braverman
Sprung, Florian	The Arithmetic of Elliptic Curves in Towers of Number Fields	Joseph H. Silverman

2014

Ph.D. Recipient	Thesis Title	Advisor
Kiral, Eren Mehmet	Spectral Theory and Shifted Convolution Sums in Analytic Number Theory	Jeffrey Hoffstein
Kuan, Chan Ieong	Hybrid Bounds on Twisted L-functions Associated to Modular Forms	Jeffrey Hoffstein
Leshin, Jonah	Class Field Towers, Solvable Galois Representations and Noether's Problem in Galois Theory	Joseph H. Silverman
Minevich, Igor	Cohomology of Topology Groups and Grothendieck Topologies	Stephen Lichtenbaum
Molcho, Samouil	Logarithmic Stable Maps with Torus Actions	Dan Abramovich
Tassy, Martin	Tiling by Bars	Richard Kenyon
Wheeler, Miles	Large-Amplitude Solitary Water Waves with Vorticity and Surface Pressure	Walter Strauss
Wiygul, David	Doubling Constructions with Asymmetric Sides	Nicolaos Kapouleas

2015

Ph.D. Recipient	Thesis Title	Advisor
Anderson, Theresa	A frameworkk for Calderon-Zygmund singular integral operators on spaces of homogeneous type	Jill Pipher
Belulovich, Thomas	Absolute Homotopy Limits	Thomas G. Goodwillie
Hindes, Wade	Galois uniformity in airthmetic dinamics	Joseph H. Silverman
Lai, Jingguo	Two weight problems and Bellman functions on filtered probability spaces	Sergei Treil
Ma, Ningning	Tropicalization of the Dimer model	Richard Kenyon
Routis, Evangelos	Weighted compa ctifications of configuration spaces	Dan Abramovich
Tran, Minh-Hoang	Weil-Etale Cohomology and Special Values of L-Functions of 1-Motives	Stephen Lichtenbaum
Ulirsch, Martin	Tropical geometry of logarithmic schemes	Dan Abramovich
Winter, Dale	Mixing properties of flows on geometrically finite hyperbolic manifolds	Hee Oh

2016

Ph.D. Recipient	Thesis Title	Advisor
Carter, Paul	Fast Pulses with Oscillatory Tails in the FitzHugh--Nagumo System	Bjorn Sandstede
Culiuc, Amalia	Weighted estimates of Calderon-Zygmund operators on vector-valued function spaces	Sergei Treil
Newkirk, Edward	Billiards with Bombs	Richard Schwartz

2017

Ph.D. Recipient	Thesis Title	Advisor
Ascher, Kenneth	Higher Dimensional Birational Geometry: Moduli and Arithmetic	Dan Abramovich
Chen, Xiaoshuang	Duality Theorems and Special Value of Artin L-functions at Zero	Stephen Lichtenbaum
Healey, Vivian	The Loewner Equation with Branching and the Continuum Random Tree	Govin Menon
Kim, Semin	Harmonic Maps and the Moduli of Higgs Bundles	George Daskalopoulos
Le, Quang Nhat	A Family of Projective Natural Polygon Iterations	Richard Schwartz
Liu, Chang	Blow-Up For the 1D Nonlinear Schrodinger Equation With Point Nonlinearity	Walter Strauss
Lowry-Duda, David	On Some Variants of the Gauss Circle Problem	Jeffrey Hoffstein
McGrath, Peter	Existence and Uniqueness Results for Minimal Surfaces	Nicolaos Kapouleas
Ramassamy, Sanjay	Topics in Combinatorics, From Probability to Geometry	Richard Kenyon

2018

Ph.D. Recipient	Thesis Title	Advisor
Bejleri, Dori	A Tale of Two Moduli Spaces: Hilbert Schemes of Singular Curves and Moduli of Elliptic Surfaces	Dan Abramovich
Freidin, Brown	Harmonic maps between and into singular spaces	George Daskalopoulos
Harper, Alicia	Factorization of Deligne-Mumford Stacks	Dan Abramovich
Lai, Kuan-Wen	Cremona Transformations and Rational Parametrizations Inspired by Hodge Theory	Brendan Hassett
Malik, Numann	Dark Soliton Linearization of the 1D Gross-Pitaevskii Equation	Justin Holmer
Walker, Alexander	Sums of Fourier Coefficients of Modular Forms and the Gauss Circle Problem	Jeffrey Hoffstein
Walton, Laura	Forward and Inverse Image Problems in Arithmetic Dynamics	Joseph Silverman
Yi, Ren	Domain Exchange Transformations and Their Renormalizations	Richard Schwartz

2019

Ph.D. Recipient	Thesis Title	Advisor
Asgarli, Shamil	Transversality for Algebraic Varieties Over Finite Fields	Brendan Hassett
Barron, Alexander	Sparse Bounds in Harmonic Analysis and Semiperiodic Estimates	Jill Pipher
Crites, Elizabeth	Delegatable Anonymous Credentials from Mercurial Signatures	Anna Lysyanskaya
Fang, Zhou	Shifted Sums of Integral and Half-Integral Weights Cusp Forms	Jeffrey Hoffstein
Gras Andreu, Victoria	Harmonic Maps between 2-Dimensional Simplicial Complexes	George Daskalopoulos
Gulian, Mamikon	Discovering and Solving Fractional-Order Partial Differential Equations: Machine Learning and Monte Carlo Methods	George Karniadakis
Kim, Seoyoung	The Distribution of the Trace of Frobenius and its Applications in Number Theory	Joseph Silverman
Li, Linhan	$L^p$ Dirichlet Problems for Second Order Elliptic Operators Having BMOO Anti-Symmetric Part	Jill Pipher
Peterpaul, Cyrus	Lifting Arc Diagrams under Branched Covers: An Inverse Problem and its Algorithmic Solution	Jeremy Kahn
Silverman, Thomas	Stability in Non-archimedean Dynamics	Joseph Silverman
Solomon, Yitzchak	Inverse Problems for Topological Transforms	Jeffrey Brock
Wang, Zili	On Convex Polyhedra: Their Metric Properties and Moduli Spaces	Richard Schwartz
Weber, Ashley	Hyperbolicity, Convexity, and Simplicial Embeddings of Graphs Associated to Surfaces	Jeffrey Brock
Zhang, Xufan	Random systems with discrete parallel dynamics and their scaling limits.	Richard Kenyon

2020's

2020

Ph.D. Recipient	Thesis Title	Advisor
George, Terrence	Cluster Integrable Systems and Statistical Mechanics	Richard Kenyon
Inchiostro, Giovanni	Wall-Crossing Morphisms for Moduli of Stable Pairs	Dan Abramovich
Kakaroumpas, Spyridon	Sharp Weighted Estimates in Harmonic Analysis	Sergei Treil
Li, Xiang Raymond	The Laplacian of Directed Planar Graphs	Richard Kenyon
Wang, Yuhan	Incompressible Surfaces in Hyperbolic Four-Punctured Sphere Bundles	Richard Schwartz
Xiao, Yang	On the Algebraic Aspects of Complex Hyperboli	Jeffrey Brock

2021

Ph.D. Recipient	Thesis Title	Advisor
Ivanov, Milen	Truncation of Contact Defects in Reaction-Diffusion Systems	Bjorn Sandstede
Jiang, Peihong	A Construction of Divergent Weil-Petersson Geodesic Rays with Common Filling Ending Lamination	Jeffrey Brock
Li, Ang	Robustness of Planar Target Patterns	Bjorn Sandstede
McDonough, Alexander	https://sites.google.com/view/alexmcdonough	Caroline Klivans
Ouyang, Zhimeng	Some Topics in Kinetic and Dispersive PDEs	Yan Guo

2022

Ph.D. Recipient	Thesis Title	Advisor
Ge, Tangli	Uniform Mordell-Lang Plaus Bogomolov	Dan Abramovich
Han, Minsik	Arithmetic Dynamics on Rational Maps with Nontrivial Automorphisms	Joseph Silverman
Liang, Zhehui	A Dynamical Approach to the Inverse Spectral Problem for Hamkel	Sergei Treil
Weinreich, Max	Algebraic Dynamics, Moduli Spaces, and Integrability	Joseph Silverman
Yun, Claudia	Tropical Moduli Spaces of Curves	Melody Chan

2023

Ph.D. Recipient	Thesis Title	Advisor
Ferendo, Kaya	Fl-Calculus and Representation Stability	Thomas Goodwillie
Kannan, Siddarth	Combinatorics and Topology of Muduli Spaces	Melody Chan
Liu, Yanze	Sobolev Estimates for Non-Local PDE's	Hongjie Dong
Quek, Ming Hao	Resolution of Singularities Via Logarithmic Stacks with a View Toward the Monodromy Conjecture	Dan Abramovich
Adams, Ophelia	Dynamical Galois Representations	Joseph Silverman
Zou, Jiahau	New Gluing Constructions of Mineral Surfaces	Nicolaos Kapouleas

2024

Ph.D. Recipient	Thesis Title	Advisor
Arena, Veronica	On Weighed Blow-Ups and Their Intersection Theory	Dan Abramovich
Chen, Chengjie	C^2-Morse Functions on the Deligne-Mumford Compactification of the Moduli Space	Jeremy Kahn
Freedman, Samuel	Veech Surfaces: Periodic Points and Families	Jeremy Kahn
Obinna, Stephen	Some Results about Weighted Blow-Ups, Mostly Their Intersection Theory	Dan Abramovich
Rao, Zhenghao	Subgroups of Genus-2 Quasi-Fuchsian Groups and Cocompact Kleinian Groups	Jeremy Kahn

2025

Ph.D. Recipient	Thesis Title	Advisor
Backus, Aidan	Calibration of Laminations as the Limit of Convex Duality for the p-Laplacian	Georgios Daskalopoulos
Gobetti Borges, Tainara	Bilinear Averaging Operators and Singular Variants of Falconer’s Distance	Jill Pipher
Lucas, Trent	Birman-Hilden Theory Beyond Surfaces	Bena Tshishiku
Wang, Yeqiu	Lagrangian Place Embedding in Hyperkähler Manifold	Brendan Hassett