Brendan Hassett

About

Brendan Hassett is the Jonathan Nelson University Professor of Mathematics and Director of the Institute for Computational and Experimental Research in Mathematics at Brown University. He received his BA in 1992 from Yale and his Ph.D. from Harvard in 1996 under the supervision of Joseph Harris. From 1996 to 2000, he worked as a Dickson Instructor at the University of Chicago, partly supported by a National Science Foundation Postdoctoral Research Fellowship. He was a faculty member at Rice University from 2000 to 2015 and chaired its mathematics department from 2009 to 2014. He has held visiting positions at the Mittag Leffler Institute in Stockholm, the Chinese University of Hong Kong, and the University of Paris (Orsay). Hassett's research focus is algebraic geometry. His work has been recognized with a Sloan Research Fellowship, a National Science Foundation CAREER award, and the Charles W. Duncan Award for Outstanding Faculty at Rice. He is a Fellow of the American Mathematical Society and the American Association for the Advancement of Science.

Research topics

• Computer Science
• Mathematics
• Pure mathematics
• Epistemology
• Geometry
• Philosophy
• Physics
• Mathematical economics

Selected publications

• Symbols and Equivariant Birational Geometry in Small Dimensions

  Progress in mathematics · 2021 · 14 citations

  1st authorCorresponding
  PublisherDOI

• Rationality of complete intersections of two quadrics over nonclosed fields

  L’Enseignement Mathématique · 2021 · 12 citations

  1st authorCorresponding

  We study rationality problems for smooth complete intersections of two quadrics.We focus on the three-dimensional case, with a view toward understanding the invariants governing the rationality of a geometrically rational threefold over a nonclosed field.

  PublisherDOI

• TORSORS AND STABLE EQUIVARIANT BIRATIONAL GEOMETRY

  Nagoya Mathematical Journal · 2022-10-11 · 8 citations

  article1st author

  Abstract We develop the formalism of universal torsors in equivariant birational geometry and apply it to produce new examples of nonbirational but stably birational actions of finite groups.

  PublisherDOI

• Equivariant geometry of odd-dimensional complete intersections of two quadrics

  Pure and Applied Mathematics Quarterly · 2022-01-01 · 6 citations

  article1st authorCorresponding
  PublisherDOI

• Stable rationality in smooth families of threefolds

  Duke Mathematical Journal · 2023-04-05 · 5 citations

  articleOpen access1st authorCorresponding

  We exhibit families of smooth projective threefolds with both stably rational and non stably rational fibers.

  PublisherOA PDFDOI

Recent grants

• FRG: Collaborative Research: Arithmetic and geometry of rational curves on K3 surfaces

  NSF · $250k · 2010–2014

• Collaborative Research: FRG: Geometry of moduli spaces of rational curves with applications to Diophantine problems over function fields

  NSF · $215k · 2006–2010

• Descent, rational points, and the geometry of moduli spaces

  NSF · $247k · 2015–2018

Frequent coauthors

• Yuri Tschinkel

  New York University

  235 shared

• Anthony Várilly‐Alvarado

  57 shared

• Andrew Kresch

  51 shared

• Nicolas Addington

  49 shared

• Arend Bayer

  University of Edinburgh

  17 shared

• Alena Pirutka

  14 shared

• Yuri Tschinkel

  Courant Institute of Mathematical Sciences

  11 shared

• Fedor Bogomolov

  7 shared

Labs

• Simons Collaboration on Arithmetic Geometry, Number Theory, and ComputationPI

  Focus on arithmetic geometry, number theory, and computation

Similar researchers at Brown University

• Joseph Silvermanh-64
• Jill Pipherh-43
• Jeffrey Hoffsteinh-39