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

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A

Spyros Alexakis Fefferman
Schlag
Kollar
Harmonic Analysis
Partial Differential Equations
Levent Alpoge Bhargava
Sarnak
Dafermos
Analytic Number Theory
Representation Theory of Compact Lie Groups
Ali Altug Sarnak
Mirzakhani
Sorensen
Algebraic Number Theory
Representation Theory of Compact Lie Groups
Ryan Alweiss Alon
Dvir
Sarnak
Combinatorics
Computational Complexity
2019
Jared Anderson MacPherson
Hsiang
Stalker
Representation Theory
Algebraic Topology
Carolina Araujo Kollar
Kochen
Nelson
Algebraic Geometry
Model Theory
Aravind Asok Katz
Aizenman
Gan
Representation Theory
Algebraic Geometry

B

Pavel Bachurin Sinai
Mather
Oh
Dynamical Systems
Stochastic Processes
Shaoyun Bai Pardon
Fefferman
Di Cerbo
Partial Differential Equations
Symplectic Topology
2018
Adrian Banner Fefferman
Sarnak
Ram
Singular Integrals
Representation Theory of Lie Groups
Timothy Barber Trotter
Conway, Kohn
Nelson, Darmon
Representations of discrete groups
Computational complexity theory
Manjul Bhargava Conway
Wiles
Fefferman
Representation Theory
Algebraic Number Theory
Bhargav Bhatt Wiles
Pandharipande
Gunning
Algebraic Number Theory
Commutative Algebra
Ryan Bissell-Siders Conway
Trotter
Burchard
Set Theory
Number Theory
Andy Booker Sarnak
Fefferman
Stalker
Analytic Number Theory
Singular Integrals
Ian Budden Hsiang
Christodoulou
Conway
Algebraic Topology
Differential Geometry
Alexander Bufetov Sinai
Mather
Gan
Representation Theory
Ergodic Theory
Boris Bukh Sudakov
Sarnak
Kohn
Probabilistic Combinatorics
Analytic Number Theory

C

Emma Carberry Gunning
Fefferman
Conway
Compact Riemann Surfaces
Several Complex Variables
Will Cavendish Gabai
Yang
Katz
Algebraic topology
Riemannian Geometry
Francesco Cellarosi Sinai
Mather
Oblomkov
Probability Theory
Ergodic Theory and Dynamical Systems
Melody Chan Seymour
Lindenstrauss
Grushevsky
Graph Theory and Combinatorial Optimization
Additive Number Theory
Su Han Chan Shimura
Faltings
Nelson
Algebraic Number Theory
Algebraic Geometry
Eric Chen Chang
Constantin
Patakfalvi
Riemannian Geometry
Partial Differential Equations
Szu-yu Chen Yang
Fefferman
Gunning
Differential Geometry
Partial Differential Equations
Cheewhye Chin de Jong
Pappas
Trotter
Algebraic Geometry
Algebraic Number Theory
Dan Collins Skinner
Kollar
Chen
Algebraic Number Theory
Algebraic Geometry
Brian Conrad Wiles
Aizenman
Faltings
Algebraic Geometry
Algebraic Number Theory
Baris Coskunuzer Yang
Gabai
Ellenberg
Differential Geometry
Algebraic Topology

D

Michael C. Dafermos Christodoulou
Browder
Ram
Differential Geometry
Algebraic Topology
Matthew de Courcy-Ireland Sarnak
Conway
Templier
Functional Analysis
Analytic Number Theory
Colin Defant Sarnak
Skinner
Alon
Algebraic Number Theory
Ergodic Number Theory
2018
Margaret Doig Szabo
Tian
Grushevsky
Algebraic Topology
Differential Geometry
Dmitri Dolgopiat Sinai
Sarnak
Trotter
Stochastic Processes
Dynamical Systems
Brent Doran MacPherson
Chang
Kowalski
Algebraic Topology
Differential Geometry
Blair Dowling Seymour
Takloo-Bighash
Gunning
Selected Topics in Discrete Mathematics
Algebraic Number Theory
Eduardo DueƱez Sarnak
Christodoulou
Hewett
Analytic Number Theory
Differential Geometry

E

Eaman Eftekhary Kollar
Browder
Gunning
Algebraic Geometry
Algebraic Topology
Laszlo Erdos Lieb
Mather
Nelson
Functional Analysis
Ergodic Theory
Statistical Mechanics
Alexandros Eskenazis Naor
Yang
Patakfalvi
Functional Analysis
Differential Geometry
Statistical Mechanics

F

Sasha Ovetsky Fradkin Seymour
Takloo-Bighash
Pavlovic
Topics in Discrete Mathematics (Matroid Theory & Combinatorial Optimization)
Algebraic Number Theory
Dan Fess Skinner
Sarnak
Pusateri
Algebraic Number Theory
Representation Theory of Compact Lie Groups
2017
Francis Fung Browder
Conway
McNeal
Representation Theory
Algebraic Topology

G

Mar Gonzalez Chang
Nelson
Trotter
Differential Geometry
Functional Analysis
Bojan Gornik Oszvath
Stein
Yang
Algebraic Topology
Differential Geometry
Josh Greene Sudakov
Szabo
Pavlovic
Algebraic Combinatorics
Algebraic Topology
Michael Greenblatt Sinai
Okikioulu
Washnitzer
Harmonic Analysis
Ergodic Theory
Philip Gressman Stein
Chang
Ellenberg
Harmonic Analysis
Partial Differential Equations
Daniel Grossman Gunning
Hewett
Mather
Compact Riemann Surfaces
Differential Geometry

H

Chris Hall Katz
Gunning
Yu
Algebraic Geometry
Algebraic Number Theory
Gergely Harcos Sarnak
Trotter
Luo
Analytic Number Theory
Algebraic Number Theory
Robert Harron Takloo-Bighash
Ellenberg
Nelson
Algebraic Number Theory
Algebraic Geometry
Harald Helfgott Sarnak
Szabo
Ram
Representation Theory of Lie Groups
Analytic Number Theory
Wei Ho Bhargava
Takloo-Bighash
Nelson
Algebraic Number Theory
Representation Theory
Amit Hogadi Kollar
Pandharipande
Rodnianski
Algebraic Geometry
Algebraic Topology
Ko Honda Shimura
Katz
Nelson
Algebraic Geometry
Algebraic Number Theory
Peter Humphries Sarnak
Fefferman
Templier
Analytic Number Theory
Representation Theory of Compact Lie Groups
Tim Hsu Browder
Mather
Prato
Differential Geometry
Algebraic Topology

I

Bogdan Ion Szabo
Browder
Ram
Representation Theory of Lie Groups
Hopf Algebras
Phil Isett Klainerman
Sarnak
Sorensen
Partial Differential Equations
Analytic Number Theory
Arie Israel Fefferman
Yang
Oblomkov
Elliptic PDE
Differential Geometry

J

Lena Ji Kollar
Skinner
Gunning
Algebraic Geometry
Algebraic Number Theory
2017
Hadi Jorati Stein
Sinai
Katz
Harmonic Analysis
Probability Theory and Random Processes
Andrei Jorza Wiles
Kollar
Stein
Algebraic Number Theory
Algebraic Geometry
Andras Juhasz Szabo
Browder
Gunning
Algebraic Topology
Differential Topology

K

Vadim Kaloshin Sinai
Mather
de Jong
Dynamical Systems
Stochastic Processes
Kiran Kedlaya de Jong
Katz
Nelson
Algebraic Number Theory
Algebraic Geometry
Matthew Kerr Browder
Fefferman
Hsiang
Differential Geometry
Algebraic Topology
Dano Kim Pandharipande
Gunning
Ozsvath
Algebraic Geometry
Algebraic Topology
Allen Knutson Trotter
McLaughlin
Jeffrey
Lie algebras
Algebraic Topology
Denis Kosygin Sinai
Mather
Hewett
Dynamical Systems
Stochastic Processes
Joachim Krieger Fefferman
Kohn
Oh
Elliptic PDE
Representation Theory

L

Shilin Lai Skinner
Zhang
Gunning
Algebraic Number Theory
Representation Theory of Compact Lie Groups
2018
Holden Lee Dvir
Bhargava
Dafermos
Computational Complexity
Algebraic Number Theory
Sam Lewallen Szabo
Gunning
Conway
Algebraic Topology
Compact Riemann Surfaces
Chi Li Tian
Kollar
Kohn
Differential Geometry
Algebraic Geometry
Yuchen Liu Kollar
Tian
Pausader
Algebraic Geometry
Complex Geometry
Ben Lowe Marques
Constantin
Hanselman
Differential Geometry
Partial Differential Equations
2018
Jonathan Luk Rodnianski
Alexakis
Grushevsky
Partial Differential Equations
Differential Geometry

M

Heather Macbeth Chang
Tian
Golsefidy
Differential Geometry
Elliptic PDE
Kamal Khuri-Makdisi Shimura
Faltings
Nelson
Algebraic Geometry
Algebraic Number Theory
Andy Manion Szabo
Yang
Katz
Algebraic Topology
Differential Geometry
Simon Marshall Sarnak
Bhargava
Fefferman
Lie Groups and Symmetric Spaces
Number Theory
Andrew Mayer Hsiang
Bien
Prato
Differential Geometry
Representation Theory
Michael McBreen Okounkov
Fenley
Beliaev
Representation theory
Algebraic geometry
Djordje Milicevic Wiles
Sarnak
Fefferman
Analytic Number Theory
Algebraic Number Theory
Alison Miller Bhargava
Okounkov
Mather
Algebraic Number Theory
Representation Theory
Maggie Miller Gabai
Yang
Bhargava
Algebraic Topology
Differential Topology
Stephen Miller Browder
Aizenman
Solovej
Algebraic Topology
Functional Analysis
Steven (J) Miller Fefferman
Sarnak
Katz
Singular Integrals/Harmonic Analysis
Analytic Number Theory
Peter Milley Gabai
Szabo
Chang
Algebraic Topology
Differential Geometry
Ritabrata Munshi Wiles
Gunning
Pandharipande
Algebraic Number Theory
Algebraic Geometry

N

David Nadler Kochen
Christodoulou
MacPherson
Algebraic Topology
Differential Geometry
Ting Fai Ng Gan
Chang
Nelson
Representation Theory
Differential Geometry
Yi Ni Gabai
Okounkov
Stein
Algebraic Topology
Functional Analysis
Martin Niepel Szabo
Gan
Stalker
Representation Theory
Algebraic Topology

O

Evan O'Dorney Bhargava
Zhang
Naor
Representation Theory of Compact Lie Groups
Algebraic Number Theory
2017

P

Jonathan Pakianathan Hsiang
Mather
Machedon
Functional Analysis
Algebraic Topology
Alessandra Pantano Sarnak
Fefferman
Ozsvath
Algebraic Topology
Representation Theory
Seth Patinkin Nelson
Fefferman
Stalker
Game Theory
Singular Integrals
Ryan Peckner Sarnak
Skinner
Nelson
Algebraic Number Theory
Functional Analysis
Alex Peng Sarnak
Sinai
Ellenberg
Theory of Probability
Analytic Number Theory
Paul Pollack Sarnak
Fefferman
Ellenberg
Analytic Number Theory
Algebraic Number Theory
Rohil Prasad Pardon
Ozsvath
Shlapentokh-Rothman
Differential Topology
Symplectic Topology
2019
Kartik Prasanna Katz
Yu
Forni
Algebraic Number Theory
Algebraic Geometry

Q

R

Bela Racz Szabo
Browder
Gunning
Algebraic Topology
Differential Topology
Ali Rajaei Wiles
Washnitzer
Almgren
Algebraic Number Theory
Algebraic Geometry
Arash Rastegar Sarnak
Washnitzer
Okikiolu
Number Theory
Algebraic Geometry
Jose Luis Rodrigo Fefferman
Hagelstein
Browder
Harmonic Analysis
Partial Differential Equations
Slava Rychkov Stein
Kohn
Trotter
Harmonic Analysis
Several Complex Variables

S

Ricardo Saenz Stein
Fefferman
Browder
Harmonic Analysis
Partial Differential Equations
Colin Sandon Dvir
Gunning
Kollar
Computational Complexity
Compact Riemann Surfaces
Sucharit Sarkar Szabo
Conway
Hang
Algebraic Topology & Differential Topology
Jeff Schenker Fefferman
Stalker
Trotter
Functional Analysis
Singular Integrals and Harmonic Analysis on R^n
Rolfe Schmidt Stein
McNeal
Shimura
Harmonic Analysis
Several Complex Variables
William Schneeberger Nelson
Conway
Trotter
Logic and Set Theory
Quadratic Forms
Peter Sepanski Hsiang
Aizenman
McNeal
Algebraic Topology
Functional Analysis
Iman Setayesh Pandharipande
Szabo
Stein
Algebraic Geometry
Algebraic Topology
Arul Shankar Sarnak
Lindenstrauss
Golsefidy
Algebraic number theory
Representation theory
Yakov Shlapentokh-Rothman Rodnianski
Yang
Sorensen
Partial Differential Equations
Riemannian Geometry
Laura Shou Aizenman
Sly
Hanselman
Probability
Statistical Physics
2018
Mikhail Smirnov Kohn
Sarnak
Bridson
Differential Geometry
Several Complex Variables
Antoine Song Marques
Constantin
Katz
Riemannian Geometry
Partial Differential Equations
Alfonso Sorrentino Mather
Chang
Kollar
Elliptic PDE
Hamiltonian Dynamical Systems
Phil Sosoe Aizenman
Fefferman
Golsefidy
Harmonic Analysis
Probability
Shruthi Sridhar Gabai
Szabo
Gomez-Serrano
Algebraic Topology
Differential Topology
2019
John Stogin Klainerman
Warren
Gunning
Hyperbolic PDE
Riemannian Geometry
Brian Street Nelson
Aizenman
Ellenberg
Stochastic Processes
Functional Analysis
Jun Su Taylor
Ionescu
Patakfalvi
Algebraic Number Theory
Algebraic Geometry
Hongbin Sun Gabai
Yang
Kollar
Differential Geometry
Algebraic Topology
Mohan Swaminathan Pardon
Di Cerbo
Shcherbyna
Symplectic Topology
Complex Algebraic Geometry
2018

T

Terence Tao Stein
Klainerman
Rudnick
Harmonic Analysis
Analytic Number Theory
Mohammad Farajzadeh Tehrani Tian
Pandharipande
Wienhard
Riemannian Geometry
Complex Geometry
Henry (now Maya) Thackeray Skinner
Sarnak
Naor
Algebraic Number Theory
Representation Theory
Ralph Thomas Browder
Stein
Hewett
Singular Integrals
Algebraic Topology
Jacob Tsimerman Sarnak
Lieblich
Okounkov
Algebraic Number Theory
Algebraic Geometry

U

V

Jeffrey Vanderkam Nelson
Flach
Sarnak
Analytic Number Theory
Functional Analysis
Peter Varju Lindenstrauss
Klainerman
Gunning
Ergodic Theory
Harmonic Analysis
Konstantinos Varvarezos Szabo
Yang
Vicol
Algebraic Topology
Differential Geometry
2018
Vinayak Vatsal Washnitzer
Wiles
Rudnick
Algebraic Number Theory
Algebraic Geometry
Anibal Velozo Tian
Ozsvath
Gunning
Complex Differential Geometry
Symplectic Topology
Sameera Vemulapalli Bhargava
Skinner
Gunning
Algebraic Number Theory
Algebraic Geometry
2019
Akshay Venkatesh Sarnak
Fefferman
Katz
Algebraic Geometry
Representation Theory of Lie Groups
Jade Vinson Daubechies
Sinai
Hewett
Harmonic Analysis of Wavelets
Ergodic Theory
Daniel Vitek Ozsvath
Tian
Pusateri
Algebraic Topology
Symplectic Geometry

W

Victor Wang Sarnak
Zhang
Buckmaster
Representation Theory of Compact Lie Groups
Algebraic Geometry
2018
Xin Wan Skinner
Katz
Klartag
Algebraic Number Theory
Algebraic Geometry
Yi Wang Chang
Neves
Gunning
Partial Differential Equations
Differential Geometry
Zhiren Wang Lindenstrauss
Bhargava
Szeftel
Ergodic Theory
Representation Theory
Boya Wen Zhang
Skinner
Gomez-Serrano
Algebraic Geometry
Algebraic Number Theory
2017
Willie Wong Klainerman
Kollar
Gunning
Harmonic Analysis and PDEs
Conan Wu Gabai
Guth
Mather
Metric Geometry
Dynamical Systems
Zhongtao Wu Szabo
Grushevsky
Hang
Algebraic Topology
Algebraic Geometry

X

Chris Yang Xiu Szabo
Ozsvath
Holzegel
Algebraic Topology
Differential Topology
Chenyang Xu Kollar
Pandharipande
Tian
Algebraic Geometry
Commutative Algebra
Guangbo Xu Tian
Neves
Golsefidy
Complex Geometry
Atiyah-Singer Index Theorem

Y

Mehdi Yazdi Szabo
Sarkar
Gunning
Algebraic Topology
Differential Topology
Nung Kwan Yip Klainerman
Christodoulo
Washnitzer
Differential Geometry
Functional Analysis
Pin Yu Klainerman Partial Differential Equations
ChangDifferential Geometry
Zhiwei Yun MacPherson
Pandharipande
Gunning
Algebraic Geometry
Algebraic Topology
Po-Lam Yung Stein
Yang
Takloo-Bighash
Harmonic Analysis
Differential Geometry

Z

Sam Zbarsky Rodnianski
Katz
Yang
Riemannian Geometry
Partial Differential Equations
2018
Ruixiang Zhang Sarnak
Fefferman
Lie
Harmonic Analysis
Analytic Number Theory
Ruobing Zhang Yang
Constantin
Sorensen
Elliptic PDEs of second order
Riemannian Geometry
Runpu Zong Kollar
E
Aizenman
Mathematical Physics
Algebraic Geometry


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Last modified January 2019