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; 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

Current PhD students

Current postdocs

Former PhD students (and first job)

Former postdocs (and current job)

    • Harold Blum
    • (2020–2022)
    • assistant professor at University of Utah
    • Adrian Brunyate
    • (2015–2019)
    • François Greer
    • (2017–2020)
    • assistant professor at Michigan State University
    • Xuhua He
    • (2006–2008)
    • professor at Chinese University of Hong Kong
    • 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
    • Mikhail Mazin
    • (2010–2013)
    • assistant professor at Kansas State University
    • Timothy Ryan
    • (2016–2019)
    • visiting assistant professor, North Dakota State University
    • 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

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 2023
    • The generic vanishing theorem (Schnell)
    • 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
    • Research articles in Algebraic Geometry (de Cataldo)
    • 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)
    • 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)
    • Spring 2014
    • Derived categories and stability conditions (Lazarsfeld)
    • Fall 2013
    • Motives (de Cataldo)
    • Fall 2012
    • Curves on Algebraic Varieties (Starr)
    • Spring 2012
    • Perverse Sheaves (de Cataldo)
    • Fall 2011
    • Deformation Theory (Laza)
    • Spring 2011
    • Multiplier Ideal Sheaves (Grushevsky)
    • Spring 2010
    • Moduli of Curves (Grushevsky)

Conferences in algebraic geometry

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