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Creators/Authors contains: "Hassett, Brendan"

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  1. ; (, Taiwanese Journal of Mathematics)
    Free, publicly-accessible full text available June 29, 2026
  2. ; ; (, Journal of the London Mathematical Society)
    Abstract We study equivariant geometry and rationality of moduli spaces of points on the projective line, for twists associated with permutations of the points. 
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  3. ; (, Communications in Number Theory and Physics)
    Full Text Available 
  4. ; ; (, Duke mathematical journal)
    We exhibit families of smooth projective threefolds with both stably rational and non stably rational fibers. 
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    Accepted Manuscript Full Text Available
  5. ; (, Nagoya Mathematical Journal)
    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. 
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    Full Text Available 
  6. ; ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract Given a smooth projective variety over a number field and an elementof its Brauer group, we consider the specialization of the Brauerclass at a place of good reduction for the variety and the class. Weare interested in the case of K3 surfaces.We show that a Brauer class on a very general polarized K3 surfaceover a number field becomes trivial after specialization at a set ofplaces of positive natural density. We deduce that there exist cubic fourfolds over number fields that are conjecturally irrational, with rational reduction at a positive proportion of places. We also deduce that there are twisted derivedequivalent K3 surfaces which become derived equivalent after reductionat a positive proportion of places. 
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    Full Text Available 
  7. ; (, Pure and Applied Mathematics Quarterly)
    Full Text Available 
  8. ; ; (, Commentarii Mathematici Helvetici)
    Full Text Available 
  9. ; (, European Journal of Mathematics)
    null (Ed.)
    Full Text Available 
  10. ; (, Arithmetic geometry, number theory, and computation)
    Balakrishnan, J.S.; Elkies, N.; Hassett, B.; Poonen, B.; Sutherland, A.V.; Voight, J. (Ed.)
    In this article, we discuss whether a single congruent number t can have two (or more) distinct corresponding triangles with the same hypotenuse. We describe and carry out computational experimentation providing evidence that this does not occur. 
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    Accepted Manuscript Full Text Available