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Sawon, Justin

Justin Sawon

J. Burton Linker Fellow & Associate Professor
Chapman Hall 441
sawon@email.unc.edu
Website

Research Interests

Algebraic and Differential Geometry, Topology, Mathematical Physics

 

Professional background

BSc & MSc, University of Adelaide, Australia, 1994 & 1996; Ph.D., University of Cambridge, UK, 2000; Junior Research Fellow, New College, Oxford, UK, 1999-2002; Simons Instructor, Stony Brook University, 2002-2006; Assistant Professor, Colorado State University, 2006-2009

 

Research Synopsis

I use techniques of complex algebraic and complex differential geometry to study hyperkaehler geometry. This is a kind of geometry based on Hamilton's quaternions. It arises naturally in string theory and other areas of high-energy theoretical physics, and my work is often inspired by physical ideas.

 

Representative Publications

On Lagrangian Fibrations by Jacobians I
J. Sawon,
Journal für die Reine und Angewandte Mathematik, 701, 127-151, 2015

Generalized Twistor Spaces for Hyperkähler Manifolds
R. Glover and J. Sawon,
Journal of the London Mathematical Society, 91, 2, 321-342, 2015

Lagrangian Fibrations on Hilbert Schemes of Points on K3 Surfaces
J. Sawon,
Journal of Algebraic Geometry, 16, 3, 477-497, 2007

News

SIAM NExT Fellow

SIAM NExT Fellow

Congratulations to Manuchehr Aminian, a Ph.D. graduate from our department... Camassa Awarded Kruskal Prize

Camassa Awarded Kruskal Prize

Congratulations to Roberto Camassa for earning the SIAM Kruskal Prize for his work to advance the understanding of nonlinear wave evolution.