Paul Hacking

Professor

Faculty
UMass collegiate M maroon on gray
Contact
Email
Email
Phone
Personal Webpage
Location
LGRT 1235I

My research focuses on moduli spaces of algebraic varieties, birational geometry, and mirror symmetry.

Education

PhD Cambridge University, 2001

RESEARCH INTERESTS

Algebraic geometry

Selected Publications

  • M. Gross, P. Hacking, S. Keel, and B. Siebert, The mirror of the cubic surface, Recent developments in algebraic geometry, 150--182, London Math. Soc. Lecture Note Ser. 478, C.U.P., 2022.
  • M. Gross, P. Hacking, and B. Siebert, Theta functions on varieties with effective anti-canonical class, Mem. Amer. Math. Soc. 278 (2022), no. 1367, xii+103 pp.
  • P. Hacking and S. Keel, Mirror symmetry and cluster algebras, Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018. Vol. II. Invited lectures, 671–697, World Sci. Publ., 2018.
  • M.Gross, P. Hacking, S. Keel, and M. Kontsevich, Canonical bases for cluster algebras, J. Amer. Math. Soc. 31 (2018), no. 2, 497-608.
  • P. Hacking, J. Tevelev, and G. Urzúa, Flipping surfaces, J. Algebraic Geom. 26 (2017), no. 2, 279-345.
  • P. Hacking, Compact moduli spaces of surfaces and exceptional vector bundles, in Compactifying moduli spaces, 41-67, Adv. Courses Math. CRM Barcelona, Birkhäuser/Springer, 2016.
  • M. Gross, P. Hacking, and S. Keel, Mirror symmetry for log Calabi-Yau surfaces I, Publ. Math. Inst. Hautes Études Sci. 122 (2015), 65-168.
  • M. Gross, P. Hacking, and S. Keel, Birational geometry of cluster algebras, Algebr. Geom. 2 (2015), no. 2, 137-175.
  • M. Gross, P. Hacking, and S. Keel, Moduli of surfaces with an anti-canonical cycle, Compos. Math. 151 (2015), no. 2, 265-291.
  • P. Hacking, Exceptional bundles associated to degenerations of surfaces, Duke Math. J. 162 (2013), no. 6, 1171-1202.
  • P. Hacking, Compact moduli spaces of surfaces of general type, Compact moduli spaces and vector bundles, 1-18, Contemp. Math. 564, A.M.S., 2012.
  • P. Hacking and Y. Prokhorov, Smoothable del Pezzo surfaces with quotient singularities, Compositio Mathematica 146 (2010), no. 1, 169-192.
  • P. Hacking, S. Keel, and J. Tevelev, Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces, Invent. Math. 178 (2009), no. 1, 173-227.
  • D. Chan, P. Hacking, and C. Ingalls, Canonical singularities of orders over surfaces, Proc. Lond. Math. Soc. (3) 98 (2009), no. 1, 83-115.
  • P. Hacking, The moduli space of curves is rigid, Algebra Number Theory 2 (2008), no. 7, 809-818.
  • P. Hacking, Homology of tropical varieties, Collect. Math. 59 (2008), no. 3, 263-273.
  • P. Hacking, S. Keel, and J. Tevelev, Compactification of the moduli space of hyperplane arrangements, J. Algebraic Geom. 15 (2006), 657-680.
  • P. Hacking, Compact moduli of plane curves, Duke Math. J. 124 (2004), no. 2, 213-257.
  • P. Hacking, Semistable divisorial contractions, J. Algebra 278 (2004), no. 1, 173-186.