SelectedWorks - Paul Hacking

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Selected Works of Paul Hacking

Associate Professor, Department of Mathematics & Statistics

My research focuses on moduli spaces of complex surfaces and related topics, including birational geometry, tropical geometry, mirror symmetry, derived categories, and noncommutative geometry.

Works
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About Paul Hacking

My research focuses on moduli spaces of complex surfaces and related topics, including birational geometry, tropical geometry, mirror symmetry, derived categories, and noncommutative geometry.

Present	Associate Professor, Department of Mathematics & Statistics, University of Massachusetts Amherst
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Algebraic Geometry

Algebraic geometry

Personal Webpage

Lederle Grad Research Tower, Rm 1235H
University of Massachusetts Amherst
Amherst MA, 01003
Tel: 413-545-6017

Unpublished Paper

Mirror Symmetry for Log Calabi-Yau Surfaces I

Mathematiques de l'IHES (2015)

Mark Gross, Paul Hacking and Sean Keel

We give a cononical sythetic construction of the mirror family to pairs (Y,D) where Y is a smooth projective surface ...

Birational Geometry of Cluster Algebras

Algebraic Geometry (2015)

Mark Gross, Paul Hacking and Sean Keel

We give a geometric interpretation of cluster varieties in terms of blowups of toric varieties. This enables us to provide, ...

Unpublished Paper

Canonical Bases for Cluster Algebras

Mark Gross, Paul Hacking, Sean Keel and Maxim Kontesevich

In GHK11, Conjecture 0.6, the first three authors conjectured the ring of regular functions on a natural class of affine ...

Unpublished Paper

Moduli of Surfaces with an Anti-Canonical Cycle

Compositio Mathematica (2015)

Mark Gross, Paul Hacking and Sean Keel

We prove a global torelli theorem for pairs (Y,D) where Y is a smooth projective rational surface and D ∈ ...