Algebraic Geometry
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)
Weekly seminars
Conferences in algebraic geometry
- Winter School on New Applications of Mixed Hodge Modules
- January 15-January 26, 2024
- Hodge theory, Moduli, and Representation Theory
- August 14-August 18, 2017
- Complex, p-adic and Logarithmic Hodge Theory and their Applications
- March 6-April 29, 2016
- Moduli Spaces and Singularities in Algebraic and Riemannian Geometry
- August 17-November 20, 2015
- Collapsing Calabi-Yau Manifolds
- August 31-September 4, 2015
- New Techniques in Birational Geometry
- April 7-11, 2015
- Geometric Representation Theory
- January 4-29, 2015
- AGNES (twice a year, at Stony Brook every 3-4 years)
- April 28-30, 2023: AGNES Stony Brook 2023
- March 27-29, 2020: AGNES Stony Brook 2020
- April 21-23, 2017: AGNES Stony Brook 2017
- April 25-27, 2014: AGNES Stony Brook 2014
- Stony Brook mini-schools in geometry
- April 21, 2017: Singular metrics and direct images
- December 4, 2015: Invariants of Singularities in zero and positive characteristic
- April 6, 2015: Derived categories and birational geometry
- January 30, 2015: Gromov-Witten theory
- April 9, 2014: Complex dynamics and algebraic surfaces
- December 6, 2013: K-Stability in algebraic geometry
- Graduate workshops, at Simons Center
- August 19–23, 2019: Geometry and modular representation theory of algebraic groups
- April 15–19, 2019: Geometry of Teichmüller spaces
- July 7–18, 2014: Moduli of curves
- November 18–22, 2013: Geometry of Hilbert schemes
- Upcoming conferences in algebraic geometry
- (maintained by Ravi Vakil)
©2022 Stony Brook Algebraic Geometry