Graduate Students' Guide to Generals

A database of the general examinations taken by graduate
students in the Princeton University Mathematics Department.

Standard Questions
Updated Fall 2013!
General
info
Princeton
Math
Math German
Word List

Indexed by student examiner special topics

A

Spyros Alexakis Fefferman Harmonic Analysis
SchlagPartial Differential Equations
Kollar
Levent Alpoge Bhargava Analytic Number Theory
SarnakRepresentation Theory of Compact Lie Groups
Dafermos
Ali Altug Sarnak Algebraic Number Theory
MirzakhaniRepresentation Theory of Compact Lie Groups
Sorensen
Jared Anderson MacPherson Representation Theory
HsiangAlgebraic Topology
Stalker
Carolina Araujo Kollar Algebraic Geometry
KochenModel Theory
Nelson
Aravind Asok Katz Representation Theory
AizenmanAlgebraic Geometry
Gan

B

Pavel Bachurin Sinai Dynamical Systems
MatherStochastic Processes
Oh
Adrian Banner Fefferman Singular Integrals
SarnakRepresentation Theory of Lie Groups
Ram
Timothy Barber Trotter Representations of discrete groups
Conway, KohnComputational complexity theory
Nelson, Darmon
Manjul Bhargava Conway Representation Theory
WilesAlgebraic Number Theory
Fefferman
Bhargav Bhatt Wiles Algebraic Number Theory
PandharipandeCommutative Algebra
Gunning
Ryan Bissell-Siders Conway Set Theory
TrotterNumber Theory
Burchard
Andy Booker Sarnak Analytic Number Theory
FeffermanSingular Integrals
Stalker
Ian Budden Hsiang Algebraic Topology
ChristodoulouDifferential Geometry
Conway
Alexander Bufetov Sinai Representation Theory
MatherErgodic Theory
Gan
Boris Bukh Sudakov Probabilistic Combinatorics
SarnakAnalytic Number Theory
Kohn

C

Emma Carberry Gunning Compact Riemann Surfaces
FeffermanSeveral Complex Variables
Conway
Will Cavendish Gabai Algebraic topology
YangRiemannian Geometry
Katz
Francesco Cellarosi Sinai Probability Theory
MatherErgodic Theory and Dynamical Systems
Oblomkov
Melody Chan Seymour Graph Theory and Combinatorial Optimization
LindenstraussAdditive Number Theory
Grushevsky
Su Han Chan Shimura Algebraic Number Theory
FaltingsAlgebraic Geometry
Nelson
Eric Chen Chang Riemannian Geometry
ConstantinPartial Differential Equations
Patakfalvi
Szu-yu Chen Yang Differential Geometry
FeffermanPartial Differential Equations
Gunning
Cheewhye Chin de Jong Algebraic Geometry
PappasAlgebraic Number Theory
Trotter
Dan Collins Skinner Algebraic Number Theory
KollarAlgebraic Geometry
Chen
Brian Conrad Wiles Algebraic Geometry
AizenmanAlgebraic Number Theory
Faltings
Baris Coskunuzer Yang Differential Geometry
GabaiAlgebraic Topology
Ellenberg

D

Michael C. Dafermos Christodoulou Differential Geometry
BrowderAlgebraic Topology
Ram
Matthew de Courcy-Ireland Sarnak Functional Analysis
ConwayAnalytic Number Theory
Templier
Margaret Doig Szabo Algebraic Topology
TianDifferential Geometry
Grushevsky
Dmitri Dolgopiat Sinai Stochastic Processes
SarnakDynamical Systems
Trotter
Brent Doran MacPherson Algebraic Topology
ChangDifferential Geometry
Kowalski
Blair Dowling Seymour Selected Topics in Discrete Mathematics
Takloo-BighashAlgebraic Number Theory
Gunning
Eduardo Dueñez Sarnak Analytic Number Theory
ChristodoulouDifferential Geometry
Hewett

E

Eaman Eftekhary Kollar Algebraic Geometry
BrowderAlgebraic Topology
Gunning
Laszlo Erdos Lieb Functional Analysis
MatherErgodic Theory
NelsonStatistical Mechanics
Alexandros Eskenazis Naor Functional Analysis
YangDifferential Geometry
PatakfalviStatistical Mechanics

F

Sasha Ovetsky Fradkin Seymour Topics in Discrete Mathematics (Matroid Theory & Combinatorial Optimization)
Takloo-BighashAlgebraic Number Theory
Pavlovic
Francis Fung Browder Representation Theory
ConwayAlgebraic Topology
McNeal

G

Mar Gonzalez Chang Differential Geometry
NelsonFunctional Analysis
Trotter
Bojan Gornik Oszvath Algebraic Topology
SteinDifferential Geometry
Yang
Josh Greene Sudakov Algebraic Combinatorics
SzaboAlgebraic Topology
Pavlovic
Michael Greenblatt Sinai Harmonic Analysis
OkikiouluErgodic Theory
Washnitzer
Philip Gressman Stein Harmonic Analysis
ChangPartial Differential Equations
Ellenberg
Daniel Grossman Gunning Compact Riemann Surfaces
HewettDifferential Geometry
Mather

H

Chris Hall Katz Algebraic Geometry
GunningAlgebraic Number Theory
Yu
Gergely Harcos Sarnak Analytic Number Theory
TrotterAlgebraic Number Theory
Luo
Robert Harron Takloo-Bighash Algebraic Number Theory
EllenbergAlgebraic Geometry
Nelson
Harald Helfgott Sarnak Representation Theory of Lie Groups
SzaboAnalytic Number Theory
Ram
Wei Ho Bhargava Algebraic Number Theory
Takloo-BighashRepresentation Theory
Nelson
Amit Hogadi Kollar Algebraic Geometry
PandharipandeAlgebraic Topology
Rodnianski
Ko Honda Shimura Algebraic Geometry
KatzAlgebraic Number Theory
Nelson
Peter Humphries Sarnak Analytic Number Theory
FeffermanRepresentation Theory of Compact Lie Groups
Templier
Tim Hsu Browder Differential Geometry
MatherAlgebraic Topology
Prato

I

Bogdan Ion Szabo Representation Theory of Lie Groups
BrowderHopf Algebras
Ram
Phil Isett Klainerman Partial Differential Equations
SarnakAnalytic Number Theory
Sorensen
Arie Israel Fefferman Elliptic PDE
YangDifferential Geometry
Oblomkov

J

Hadi Jorati Stein Harmonic Analysis
SinaiProbability Theory and Random Processes
Katz
Andrei Jorza Wiles Algebraic Number Theory
KollarAlgebraic Geometry
Stein
Andras Juhasz Szabo Algebraic Topology
BrowderDifferential Topology
Gunning

K

Vadim Kaloshin Sinai Dynamical Systems
MatherStochastic Processes
de Jong
Kiran Kedlaya de Jong Algebraic Number Theory
KatzAlgebraic Geometry
Nelson
Matthew Kerr Browder Differential Geometry
FeffermanAlgebraic Topology
Hsiang
Dano Kim Pandharipande Algebraic Geometry
GunningAlgebraic Topology
Ozsvath
Allen Knutson Trotter Lie algebras
McLaughlinAlgebraic Topology
Jeffrey
Denis Kosygin Sinai Dynamical Systems
MatherStochastic Processes
Hewett
Joachim Krieger Fefferman Elliptic PDE
KohnRepresentation Theory
Oh

L

Holden Lee Dvir Computational Complexity
BhargavaAlgebraic Number Theory
Dafermos
Sam Lewallen Szabo Algebraic Topology
GunningCompact Riemann Surfaces
Conway
Chi Li Tian Differential Geometry
KollarAlgebraic Geometry
Kohn
Yuchen Liu Kollár Algebraic Geometry
TianComplex Geometry
Pausader
Jonathan Luk Rodnianski Partial Differential Equations
AlexakisDifferential Geometry
Grushevsky

M

Heather Macbeth Chang Differential Geometry
TianElliptic PDE
Golsefidy
Kamal Khuri-Makdisi Shimura Algebraic Geometry
FaltingsAlgebraic Number Theory
Nelson
Andy Manion Szabo Algebraic Topology
YangDifferential Geometry
Katz
Simon Marshall Sarnak Lie Groups and Symmetric Spaces
BhargavaNumber Theory
Fefferman
Andrew Mayer Hsiang Differential Geometry
BienRepresentation Theory
Prato
Michael McBreen Okounkov Representation theory
FenleyAlgebraic geometry
Beliaev
Djordje Milicevic Wiles Analytic Number Theory
SarnakAlgebraic Number Theory
Fefferman
Alison Miller Bhargava Algebraic Number Theory
OkounkovRepresentation Theory
Mather
Maggie Miller Gabai Algebraic Topology
YangDifferential Topology
Bhargava
Stephen Miller Browder Algebraic Topology
AizenmanFunctional Analysis
Solovej
Steven (J) Miller Fefferman Singular Integrals/Harm Analysis
SarnakAnalytic Number Theory
Katz
Peter Milley Gabai Algebraic Topology
SzaboDifferential Geometry
Chang
Ritabrata Munshi Wiles Algebraic Number Theory
GunningAlgebraic Geometry
Pandharipande

N

David Nadler Kochen Algebraic Topology
ChristodoulouDifferential Geometry
MacPherson
Ting Fai Ng Gan Representation Theory
ChangDifferential Geometry
Nelson
Yi Ni Gabai Algebraic Topology
OkounkovFunctional Analysis
Stein
Martin Niepel Szabo Representation Theory
GanAlgebraic Topology
Stalker

O

P

Jonathan Pakianathan Hsiang Functional Analysis
MatherAlgebraic Topology
Machedon
Alessandra Pantano Sarnak Algebraic Topology
FeffermanRepresentation Theory
Ozsvath
Seth Patinkin Nelson Game Theory
FeffermanSingular Integrals
Stalker
Ryan Peckner Sarnak Algebraic Number Theory
SkinnerFunctional Analysis
Nelson
Alex Peng Sarnak Theory of Probability
SinaiAnalytic Number Theory
Ellenberg
Paul Pollack Sarnak Analytic Number Theory
FeffermanAlgebraic Number Theory
Ellenberg
Kartik Prasanna Katz Algebraic Number Theory
YuAlgebraic Geometry
Forni

Q

R

Bela Racz Szabo Algebraic Topology
BrowderDifferential Topology
Gunning
Ali Rajaei Wiles Algebraic Number Theory
WashnitzerAlgebraic Geometry
Almgren
Arash Rastegar Sarnak Number Theory
WashnitzerAlgebraic Geometry
Okikiolu
Jose Luis Rodrigo Fefferman Harmonic Analysis
HagelsteinPartial Differential Equations
Browder
Slava Rychkov Stein Harmonic Analysis
KohnSeveral Complex Variables
Trotter

S

Ricardo Saenz Stein Harmonic Analysis
FeffermanPartial Differential Equations
Browder
Colin Sandon Dvir Computational Complexity
GunningCompact Riemann Surfaces
Kollar
Sucharit Sarkar Szabo Algebraic Topology & Differential Topology
Conway
Hang
Jeff Schenker Fefferman Functional Analysis
StalkerSingular Integrals and Harmonic Analysis on R^n
Trotter
Rolfe Schmidt Stein Harmonic Analysis
McNealSeveral Complex Variables
Shimura
William Schneeberger Nelson Logic and Set Theory
ConwayQuadratic Forms
Trotter
Peter Sepanski Hsiang Algebraic Topology
AizenmanFunctional Analysis
McNeal
Iman Setayesh Pandharipande Algebraic Geometry
SzaboAlgebraic Topology
Stein
Arul Shankar Sarnak Algebraic number theory
LindenstraussRepresentation theory
Golsefidy
Yakov Shlapentokh-Rothman Rodnianiski Partial Differential Equations
YangRiemannian Geometry
Sorensen
Mikhail Smirnov Kohn Differential Geometry
SarnakSeveral Complex Variables
Bridson
Antoine Song Marques Riemannian Geometry
ConstantinPartial Differential Equations
Katz
Alfonso Sorrentino Mather Elliptic PDE
ChangHamiltonian Dynamical Systems
Kollar
Phil Sosoe Aizenman Harmonic Analysis
FeffermanProbability
Golsefidy
John Stogin Klainerman Hyperbolic PDE
WarrenRiemannian Geometry
Gunning
Brian Street Nelson Stochastic Processes
AizenmanFunctional Analysis
Ellenberg
Jun Su Taylor Algebraic Number Theory
IonescuAlgebraic Geometry
Patakfalvi
Hongbin Sun Gabai Differential Geometry
YangAlgebraic Topology
Kollar

T

Terence Tao Stein Harmonic Analysis
klainermanAnalytic Number Theory
Rudnick
Mohammad Farajzadeh Tehrani Tian Riemannian Geometry
PandharipandeComplex Geometry
Wienhard
Henry Thackeray Skinner Algebraic Number Theory
SarnakRepresentation Theory
Naor
Ralph Thomas Browder Singular Integrals
SteinAlgebraic Topology
Hewett
Jacob Tsimerman Sarnak Algebraic Number Theory
LieblichAlgebraic Geometry
Okounkov

U

V

Jeffrey Vanderkam Nelson Analytic Number Theory
FlachFunctional Analysis
Sarnak
Peter Varju Lindenstrauss Ergodic Theory
KlainermanHarmonic Analysis
Gunning
Vinayak Vatsal Washnitzer Algebraic Number Theory
WilesAlgebraic Geometry
Rudnick
Anibal Velozo Tian Complex Differential Geometry
OzsvathSymplectic Topology
Gunning
Akshay Venkatesh Sarnak Algebraic Geometry
FeffermanRepresentation Theory of Lie Groups
Katz
Jade Vinson Daubechies Harmonic Analysis of Wavelets
SinaiErgodic Theory
Hewett
Daniel Vitek Ozsvath Algebraic Topology
TianSymplectic Geometry
Pusateri

W

Xin Wan Skinner Algebraic Number Theory
KatzAlgebraic Geometry
Klartag
Yi Wang Chang Partial Differential Equations
NevesDifferential Geometry
Gunning
Zhiren Wang Lindenstrauss Ergodic Theory
BhargavaRepresentation Theory
Szeftel
Willie Wong Klainerman Harmonic Analysis and PDEs
Kollar
Gunning
Conan Wu Gabai Metric Geometry
GuthDynamical Systems
Mather
Zhongtao Wu Szabo Algebraic Topology
GrushevskyAlgebraic Geometry
Hang

X

Chris Yang Xiu Szabo Algebraic Topology
OzsvathDifferential Topology
Holzegel
Chenyang Xu Kollar Algebraic Geometry
PandharipandeCommutative Algebra
Tian
Guangbo Xu Tian Complex Geometry
NevesAtiyah-Singer Index Theorem
Golsefidy

Y

Mehdi Yazdi Szabo Algebraic Topology
SarkarDifferential Topology
Gunning
Nung Kwan Yip Klainerman Differential Geometry
ChristodouloFunctional Analysis
Washnitzer
Pin Yu Klainerman Partial Differential Equations
ChangDifferential Geometry
Zhiwei Yun MacPherson Algebraic Geometry
PandharipandeAlgebraic Topology
Gunning
Po-Lam Yung Stein Harmonic Analysis
YangDifferential Geometry
Takloo-Bighash

Z

Ruixiang Zhang Sarnak Harmonic Analysis
FeffermanAnalytic Number Theory
Lie
Ruobing Zhang Yang Elliptic PDEs of second order
ConstantinRiemannian Geometry
Sorensen
Runpu Zong Kollar Mathematical Physics
EAlgebraic Geometry
Aizenman


This page is maintained by Matthew de Courcy-Ireland.

Last modified April 2015