Aleksey Zinger's Homepage

Department of Mathematics         Stony Brook

Contact Information

Office: Math Tower, 3-111      Phone: (631) 632-8288      E-mail: azinger@math.stonybrook.edu
 

Research

I am primarily interested in geometric properties of Gromov-Witten invariants in algebraic geometry and
symplectic topology as well as in connections with enumerative geometry and string theory.
CV     Research Highlights     Connections between Papers and Brief Abstracts     Google Scholar
Research Description (non-technical)    Research Statement (somewhat technical)    Publications and Preprints
 

On Symplectic Sum Formulas in Gromov-Witten Theory

Mathematical specifics: current version, first arXiv version, pre-arXiv version, updates 02/26/15
Some e-mails, On Ionel-Parker's response, Li-Ruan's response, More on the Li-Ruan situation (updated 11/26/15)
Comments on the Annals Statement

I can't say I'm outraged. Other people do worse. Of course, there are many mathematicians who are more or less honest. But almost all of them are conformists. They are more or less honest, but they tolerate those who are not honest. G. Perelman. From Manifold Destiny, Sylvia Nassar and David Gruber, The New Yorker, August 28, 2006

Unfortunately, the situation with honesty, assisting in and rewarding dishonesty, and conformity is particularly sad in symplectic topology.

 
 
An Asymptotics Question (from AGNES/WAGS Fall'13)
 
Slides from Seminar in Augsburg (in pdf beamer and handout formats):
 
Mirror Symmetry: from curve counts to hypergeometric series (beamer, handout)
 
Slides from Colloquium at UC Irvine (in pdf beamer and handout formats):
 
Enumerative Geometry: from Classical to Modern (beamer, handout)
 
Proof of BCOV'93 Mirror Symmetry Prediction (in pdf beamer and handout formats):
 
On the Geometry of Genus 1 Gromov-Witten Invariants (beamer, handout)
 
Atiyah-Bott Localization Computation in Genus 1 (beamer, handout)
 
Transparencies from colloquium talk at Stony Brook (cover entire talk):
 
Degenerate Contributions, Enumerative Geometry, and Gromov-Witten Invariants
 
Transparencies from other seminar talks (including details not covered in talks):
 
A Desingularization of the Moduli Space of Genus-One Stable Maps into Pn
 
Reduced Genus-One Gromov-Witten Invariants and Applications
 
On Genus-1 Gromov-Witten Invariants of Complete Intersection 3-Folds
 
Counting Rational Curves of Arbitrary Shape in Projective Spaces
 
Enumerative Algebraic Geometry via Techniques of Symplectic Topology
and Analysis of Local Obstructions

 

Teaching

Spring 2017    MAT127: Calculus C
Fall 2016 MAT542/540: Algebraic Topology
Spring 2015    MAT127: Calculus C
MAT566: Differential Topology
Fall 2014    MAT648: Mirror Symmetry
Spring 2014    MAT645: Symplectic Topology
Fall 2013    MAT620: Enumerative Geometry
Spring 2011    MAT531: Topology&Geometry, II
Fall 2010    MAT127: Calculus C
Spring 2010    MAT531: Topology&Geometry, II
Fall 2009    MAT127: Calculus C
Spring 2009    MAT615: Complex Curves and Surfaces
Fall 2008    MAT401: Introduction to Enumerative Geometry
MAT545: Complex Geometry
Fall 2007    MAT614: Enumerative Geometry
Fall 2006    MAT566: Differential Topology
Spring 2006    MAT531: Topology&Geometry II
Fall 2005 MAT131: Calculus I
MAT530: Topology&Geometry I
Fall 2004 Stanford Math53: Ordinary Differential Equations
Winter 2004 Stanford Math53: Ordinary Differential Equations
Fall 2000 MIT 18.02: Multivariable Calculus (TA)
Fall 1997 MIT 18.02: Multivariable Calculus (ESG)
 
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This page is maintained by Aleksey Zinger.
Last modified: October 10, 2016