Algebraic Geometry

Department of Mathematics

at Stony Brook University

Core faculty

- Mark de Cataldo
- Topology, Hodge, and cycle theory of algebraic varieties and maps
- Samuel Grushevsky
- Curves, abelian varieties, and their moduli spaces; theta functions and modular forms
- Radu Laza
- Hodge theory; geometric invariant theory; construction and compactifications of moduli spaces
- Robert Lazarsfeld
- Higher-dimensional geometry; linear series and multiplier ideals; geometric questions in commutative algebra
- Christian Schnell
- Hodge theory; Mixed Hodge modules; D-modules and derived categories; geometry of irregular varieties
- Jason Starr
- Curves on varieties; stacks; Fano manifolds; arithmetic and geometry of varieties over function fields

Faculty in related areas

- Xiuxiong Chen
- Complex geometry
- Ljudmila Kamenova
- Complex differential geometry
- Alexander Kirillov, Jr.
- Algebra and representation theory
- H. Blaine Lawson, Jr.
- Differential geometry and algebraic cycles
- Claude LeBrun
- Differential geometry
- Mark McLean
- Symplectic geometry
- Michael Movshev
- Algebra
- Nikita Nekrasov
- Physics (SCGP)
- John Pardon
- Geometry and Topology (SCGP)
- Dennis Sullivan
- Geometry, topology, and algebra
- Leon Takhtajan
- Mathematical physics
- Dror Varolin
- Complex geometry and several complex variables
- Oleg Viro
- Topology and tropical geometry
- Aleksey Zinger
- Symplectic topology and enumerative geometry

Current PhD students

- Dan Brogan
- Schnell
- Prabhat Devkota
- Grushevsky
- Srijan Ghosh
- Starr
- Matthew Huynh
- de Cataldo
- Myeongjae Lee
- Grushevsky
- Giovanni Passeri
- Lazarsfeld
- Yu Xiao
- Lazarsfeld
- Zhengze Xin
- Schnell
- Ze Yun
- Schnell

Current postdocs

- Bradley Dirks
- (2023–2026)
- Federico Moretti
- (2024–2027)

Former PhD students (and first job)

- Anant Atyam
- (Grushevsky, 2014)
- American Express
- Frederik Benirschke
- (Grushevsky, 2021)
- postdoc at University of Chicago
- Nathan Chen
- (Lazarsfeld, 2021)
- NSF postdoc at Harvard and Columbia
- Qianyu Chen
- (Schnell, 2022)
- Postdoc at University of Michigan
- Karina Cho
- (Lazarsfeld, 2024)
- Prithviraj Chowdhury
- (Starr, 2021)
- Goldman Sachs
- Robert Findley
- (Starr, 2010)
- Goldman Sachs
- Patricio Gallardo
- (Laza, 2014)
- postdoc at University of Georgia
- Jan Gutt
- (Starr, 2013)
- postdoc at Center for Theoretical Physics of the Polish Academy of Sciences
- Xuntao Hu
- (Grushevsky, 2019)
- data scientist
- Li Li
- (de Cataldo, 2006)
- postdoc at UIUC
- Yoon-Joo Kim
- (Laza, 2022)
- postdoc at Universität Bonn and Columbia
- Lisa Marquand
- (Laza, 2023)
- postdoc at Courant Institute
- Cristian Minoccheri
- (Starr, 2018)
- postdoc at the University of Michigan
- Yusuf Mustopa
- (Starr, 2008)
- postdoc at the University of Michigan
- Chaya Norton
- (Grushevsky, 2014)
- postdoc at CRM, Montreal and Concordia University
- Santai Qu
- (Starr, 2020)
- postdoc at Tsinghua University
- John Sheridan
- (Lazarsfeld, 2020)
- lecturer at Princeton
- Lloyd Smith
- (Starr, 2014)
- G-Research LLC
- David Stapleton
- (Lazarsfeld, 2017)
- postdoc at UCSD
- Zhiyu Tian
- (Starr, 2011)
- postdoc at Caltech
- Alexandra Viktorova
- (Laza, 2022)
- postdoc at KU Leuven
- Mads Villadsen
- (Schnell, 2023)
- postdoc at University of Berlin
- Ben Wu
- (de Cataldo, 2022)
- Goldman Sachs
- Ruijie Yang
- (Lazarsfeld & Schnell, 2021)
- postdoc at Humboldt University Berlin
- Dingxin Zhang
- (Starr, 2017)
- postdoc at Brandeis
- Siqing Zhang
- (de Cataldo, 2023)
- postdoc at IAS
- Zheng Zhang
- (Laza, 2014)
- postdoc at Texas A&M
- Zili Zhang
- (de Cataldo, 2016)
- postdoc at University of Michigan
- Yi Zhu
- (Starr, 2012)
- postdoc at the University of Utah

Former postdocs (and current job)

- Harold Blum
- (2020–2022)
- assistant professor at University of Utah
- Adrian Brunyate
- (2015–2019)
- Benjamin Dozier
- (2019–2021)
- assistant professor at Cornell
- Eugene Gorsky
- (2010–2013)
- professor at UC Davis
- François Greer
- (2017–2020)
- assistant professor at Michigan State University
- Henri Guenancia
- (2014–2017)
- CNRS, chargé de recherche
- Xuhua He
- (2006–2008)
- professor at Chinese University of Hong Kong
- Thorsten Herrig
- (2019–2020)
- actuary, Oliver Wyman
- Dave Jensen
- (2010–2013)
- professor at University of Kentucky
- Chi Li
- (2012–2015)
- associate professor at Rutgers
- Luigi Lombardi
- (2015–2018)
- associate professor at University of Milan
- Olivier Martin
- (2020–2023)
- assistant professor at IMPA, Brazil
- Mikhail Mazin
- (2010–2013)
- assistant professor at Kansas State University
- Timothy Ryan
- (2016–2019)
- visiting assistant professor, North Dakota State University
- Giulia Saccà
- (2013–2017)
- assistant professsor at Columbia
- Jing-Zhou Sun
- (2012–2016)
- associate professor at Shantou University
- Chuanhao Wei
- (2018–2021)
- assistant professor at Westlake University
- Andrew Young
- (2008–2011)
- Illumina
- Dmitry Zakharov
- (2010–2013)
- associate professor at Central Michigan University
- Letao Zhang
- (2014–2019)
- Citadel

Former undergraduate students (and PhD program)

- Ken Ascher
- (Laza, 2012)
- Brown University
- Ren Yi
- (Laza, 2012)
- Brown University
- Thao Do
- (Laza, 2014)
- MIT

Regular graduate courses

- MAT 530–531
- Topology and Geometry I,II
- MAT 534–535
- Algebra I,II
- MAT 537
- Several Complex Variables
- MAT 538
- Riemann Surfaces
- MAT 544
- Commutative and Homological Algebra
- MAT 545
- Complex Geometry (on the level of Griffiths & Harris)
- MAT 552
- Introduction to Lie Groups and Lie Algebras
- MAT 568–569
- Differential Geometry I,II
- MAT 589
- Introduction to Algebraic Geometry

Topics courses

- Fall 2024
- Geometry of moduli spaces (Starr)
- Fall 2024
- Complex Non-Kahler Geometry (Addison)
- Fall 2023
- The generic vanishing theorem (Schnell)
- Fall 2023
- A second course in algebraic geometry (Starr)
- Spring 2023
- Complex curves and surfaces (Zinger)
- Spring 2023
- Variational methods in complex geometry (Varolin)
- Spring 2023
- Vector bundles on algebraic varieties (Lazarsfeld)
- Fall 2022
- Higgs bundles and flat connections in algebraic geometry (de Cataldo)
- Fall 2022
- K3 surfaces and hyperkäer manifolds (Kamenova)
- Fall 2022
- Selected topics on algebraic cycles (Martin)
- Spring 2022
- Toric geometry (Hanlon)
- Spring 2022
- Research articles in Algebraic Geometry (de Cataldo)
- Fall 2021
- Using algebraic geometry (Starr)
- Spring 2021
- Hodge theory and geometry (Laza)
- Spring 2021
- Moduli of curves (Grushevsky)
- Fall 2020
- Teichmüller theory and character varieties (Takhtajan)
- Fall 2020
- Geometry of syzygies of algebraic varieties (Lazarsfeld)
- Spring 2020
- Intersection theory in algebraic geometry (Greer)
- Spring 2020
- Effective methods in birational geometry (Varolin)
- Fall 2019
- Elements of Hodge theory and hyperkaehler geometry (Kamenova)
- Fall 2019
- An introduction to Hodge Modules (Schnell)
- Spring 2019
- Algebraic D-modules (Schnell)
- Fall 2018
- Introduction to the Minimal Model Program (Laza)
- Fall 2018
- Spaces of Curves on Algebraic Varieties (Starr)
- Spring 2018
- Complex Surfaces (Laza)
- Spring 2018
- Deformations of Complex Manifolds (Varolin)
- Fall 2017
- Topological Methods in Real Algebraic Geometry (Viro)
- Fall 2017
- Complex Analysis: Teichmueller Dynamics (Grushevsky)
- Spring 2017
- Modern View of Classical Problems in Algebraic Geometry (Arbarello)
- Fall 2016
- Moduli Spaces of Sheaves (Saccà)
- Fall 2016
- Geometry of Teichmuller Spaces (Grushevsky)
- Spring 2016
- Vanishing theorems, multiplier ideals and their applications (Lazarsfeld)
- Spring 2016
- K3 sufaces, hyperkaehler manifolds and moduli spaces (Kamenova)
- Fall 2015
- Perspectives on moduli (Laza)
- Spring 2015
- Perverse sheaves in algebraic geometry and in representation theory (de Cataldo)
- Spring 2015
- Abelian varieties (Grushevsky)
- Fall 2014
- Intersection theory (Starr)
- Spring 2014
- Derived categories and stability conditions (Lazarsfeld)
- Fall 2013
- Motives (de Cataldo)
- Spring 2013
- The Generic Vanishing Theorem (Schnell)
- Fall 2012
- Curves on Algebraic Varieties (Starr)
- Fall 2012
- Teichmüller Theory (Grushevsky)
- Spring 2012
- Perverse Sheaves (de Cataldo)
- Fall 2011
- Deformation Theory (Laza)
- Spring 2011
- Multiplier Ideal Sheaves (Grushevsky)
- Fall 2010
- Tropical Geometry (Viro)
- Spring 2010
- Moduli of Curves (Grushevsky)

Algebraic Geometry

Core faculty

Faculty in related areas

Current PhD students

Current postdocs

Former PhD students (and first job)

Former postdocs (and current job)

Former undergraduate students (and PhD program)

Regular graduate courses

Topics courses

Weekly seminars

Conferences in algebraic geometry

Links