Sunday July 4 -- Thursday July 8, 2004 in Snowbird, Utah
Organizing committee: Herb Clemens (Ohio State), Rob Lazarsfeld (Michigan), Ravi Vakil (Stanford).
This is one of the 2004 Joint Summer Research Conferences.
Even at its modern inception, algebraic geometry was technically quite demanding. Today the field is broad and deep enough that most new Ph.D.'s narrowly focus on a small part of it in order to produce original research. Thus the postdoctoral years are the best time to broaden their knowledge and to build the connections, both personal and intellectual, that will nourish a lifelong research career.
This conference is intended for recent Ph.D.'s, who have already developed an area of expertise. The conference is intended to widen the participants' horizons, by exposing them to the ideas and problems of other parts of the field, and to introduce them to future colleagues and collaborators. Hence there will be ample time for and emphasis on small group discussions and networking.
In the mornings, there will be ten Bourbaki-style talks, in which participants will present important results in the field. In the afternoons, the participants will break up into groups and work with a senior mentor and each other. (The mentors are listed below.)
Sunday | Nick Proudfoot | Geometric Invariant Theory and projective toric varieties |
Brian Osserman | Two degeneration techniques for maps of curves | |
Monday | Julianna Tymoczko | Equivariant cohomology, following Goresky, Kottwitz, and MacPherson |
Sam Grushevsky | Multiplier ideals in algebraic geometry | |
Tuesday | Carolina Araujo | Rationally connected varieties and a theorem by Graber, Harris and Starr |
Mihran Papikian | Rigid analytic geometry and abelian varieties (notes; Owen Jones warns that the inequalities are going in the wrong direction when R and M are defined on p. 2 par. 2) | |
Wednesday | Max Lieblich | Quotients by groupoids (following Keel-Mori) |
Andrei Caldararu | Why Hochschild? An algebraic geometer's point of view | |
Thursday | David Lehavi | Real algebraic curves and amoebas (following Mikhalkin) |
Izzet Coskun | The arithmetic and the geometry of Kobayashi hyperbolicity (notes) |
Mentor | Topic | |
A | Linda Chen | Schubert calculus |
B | Gabi Farkas | Moduli spaces of abelian varieties |
C | Angela Gibney | Moduli of curves and the Fulton-Macpherson configuration space |
D | Allen Knutson | Group actions and degeneration |
E | Sándor Kovács | Introduction to the minimal model program |
F | Diane Maclagan | Introduction to toric varieties |
G | Mike Nakamaye | Applications of positivity in diophantine geometry |
H | Tony Pantev | Geometric dualities |
Name | Aft. working group | Field of interest (please e-mail me updates) | |
Kursat Aker, Penn | D | ||
Carolina Araujo, Princeton / IMPA | D | rational curves, Fano varieties | |
Daniele Arcara, Utah | C | vector bundles on curves and surfaces | |
Roya Beheshti, Max Planck / Queens | C | ||
Aaron Bertram, Utah (visiting mentor) | moduli problems and Gromov-Witten invariants | ||
Nero Budur, Johns Hopkins | H | higher dimensional geometry | |
Charles Cadman, Columbia / Michigan | E | stacks and enumerative geometry | |
Andrei Caldararu, Penn | G | ||
Sebastian Casalaina-Martin, Columbia | B | ||
Paolo Cascini, NYU | H | ||
Linda Chen, Columbia / Ohio State (mentor) | A | moduli problems, orbifold cohomology | |
Zhao Chen, NYC College of Technology | F | ||
Herb Clemens, Ohio State (organizing committee) | algebraic cycles, deformation theory | ||
Izzet Coskun, Harvard / MIT | E | ||
Gabi Farkas, Princeton / UT Austin (mentor) | B | moduli of curves, abelian varieties | |
Alexandru Ghitza, McGill | G | moduli of abelian varieties in positive characteristic and applications to modular forms | |
Angela Gibney, Yale / Penn (mentor) | C | moduli of curves and the Fulton-Macpherson configuration space | |
Sam Grushevsky, Princeton | A | moduli of curves, abelian varieties | |
Tawanda Gwena, Georgia | F | moduli of curves and abelian varieties | |
Milena Hering, Michigan | A | toric varieties | |
Jason Howald, Johns Hopkins | D | ||
Amanda Johnson, NSF | F | ||
Michael Joyce, Brown | E | arithmetic of almost Fano varieties | |
Allen Knutson, Berkeley (mentor) | D | ||
Sándor Kovács, Washington (mentor) | E | higher-dimensional geometry | |
Gabriele La Nave, NYU | H | ||
Rob Lazarsfeld, Michigan (organizing committee) | higher-dimensional algebraic geometry | ||
David Lehavi, Ohio State | B | classical algebraic geometry | |
Maxim Leyenson, Chicago | H | moduli of vector bundles | |
Max Lieblich, MIT / Brown/ Princeton | E | algebraic stacks, moduli of sheaves, and arithmetic applications | |
Diane Maclagan, Stanford / Rutgers (mentor) | F | toric varieties and grobner bases | |
Leonardo Mihalcea, Michigan | D | Schubert calculus, equivariant and quantum cohomology | |
Maciej Mizerski, UBC | C | Schubert calculus and Gromov-Witten invariants | |
Anca-Magdalena Mustata, UBC | H | ||
Andrei Mustata, UBC | B | ||
Mike Nakamaye, New Mexico (mentor) | G | base loci of linear series | |
Brian Osserman, RIMS / Berkeley | F | ||
Tony Pantev, Penn (mentor) | H | Hodge theory and mathematical physics | |
Mihran Papikian, Stanford | G | ||
Sam Payne, Michigan | G | ||
Nick Proudfoot, Berkeley / UT Austin | G | hyperkahler quotients | |
Kevin Purbhoo, Berkeley | C | ||
Julius Ross, Columbia | H | stability of polarised varieties; relation to metrics of constant scalar curvature | |
Fumitoshi Sato, Utah | E | Gromov-Witten invariants | |
James Spencer, Rice | H | ||
Matt Szczesny, Penn | E | ||
Evgeni Tevelev, UT Austin | C | ||
Csilla Tamás, Georgia | H | higher-dimensional geometry, abelian varieties | |
Howard Thompson, Michigan | B | toric varieties | |
Will Traves, US Naval Academy | A | intersection theory, invariant theory, and D-modules | |
Julianna Tymoczko, Michigan | A | ||
Ravi Vakil, Stanford (organizing committee) | intersection theory on moduli spaces | ||
Michael Van Opstall, Washington / Utah | A | moduli of stable surfaces | |
Stephanie Yang, Harvard / Michigan | F | ||
Alexander Yong, Berkeley | B | Schubert calculus, quantum cohomology, group actions and degenerations | |
Jing Zhang, Washington University | E | ||
Aleksey Zinger, Stanford | D |