Paul Hacking

Department of Mathematics and Statistics
Lederle Graduate Research Tower, Box 34515
University of Massachusetts Amherst
Amherst, MA 01003-9305, USA
hacking@math.umass.edu

Office: LGRT 1235H
Phone: 413.545.6017



AGNES: Algebraic Geometry North Eastern Series.

Valley geometry seminar

Reading seminar in algebraic geometry

Resources for graduate students


Graduate students and Postdocs.

Graduate student Huy Le studies vector bundles on rational surfaces.

Postdoc Stephen Coughlan studies algebraic surfaces and their moduli. In Fall 2014 he will be a postdoc in the algebraic geometry group at Leibniz U. Hannover.

Former graduate student Anna Kazanova is now a postdoc in the algebraic geometry group at U. Georgia. Her 2013 PhD thesis studies degenerations of Godeaux surfaces and exceptional vector bundles.

Teaching.

Math 797W, Algebraic geometry, TuTh 11:30AM--12:45PM, LGRT 1114. Course website.

Office hours: Tuesdays 3:00PM--4:00PM and Wednesdays 2:30PM--3:30PM in my office LGRT 1235H.

Research.

My research is partially supported by NSF grant DMS-1201439.


Flipping surfaces, with Jenia Tevelev and Giancarlo Urzua, preprint arXiv:1310.1580, 65 pp., pdf.

Birational geometry of cluster algebras, with Mark Gross and Sean Keel, preprint arXiv:1309.2573, 50 pp., to appear in Algebraic geometry, pdf.

Compact moduli spaces of surfaces and exceptional vector bundles, 31 pp., to appear in "Compactifying moduli spaces", Advanced Courses in Mathematics -- CRM Barcelona, Springer, pdf.

Moduli of surfaces with an anti-canonical cycle, with Mark Gross and Sean Keel, preprint arXiv:1211.6367, 42 pp., to appear in Compositio Math., pdf.

Exceptional bundles associated to degenerations of surfaces, Duke Math. J. 162 (2013), no. 6, 1171--1202, pdf.

Mirror symmetry for log Calabi-Yau surfaces I, with Mark Gross and Sean Keel, preprint arXiv:1106.4977, 144 pp., pdf.

Compact moduli of surfaces of general type, Contemp. Math. 564 (2012), 1--18, pdf.

Smoothable del Pezzo surfaces with quotient singularities, with Yuri Prokhorov, Compositio Math. 146 (2010), no. 1, 169--192, pdf.

Lectures on flips and minimal models, with Alessio Corti, J\'anos Koll\'ar, Robert Lazarsfeld, and Mircea Musta\c{t}\u{a}, in Analytic and Algebraic Geometry: Common Problems, Different Methods, IAS/Park City Math. Ser. 17 (2010), p.557--582, pdf.

Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces, with Sean Keel and Jenia Tevelev, Invent. Math. 178 (2009), no. 1, 173--227, pdf.

Canonical singularities of orders over surfaces, with Daniel Chan and Colin Ingalls, Proc. Lond. Math. Soc. (3) 98 (2009), no. 1, 83--115, pdf.

The moduli space of curves is rigid, Algebra and Number Theory 2 (2008), no. 7, 809--818, pdf.

Homology of tropical varieties, Collect. Math. 59 (2008), no. 3, 263--273, pdf.

Compactification of the moduli space of hyperplane arrangements, with Sean Keel and Jenia Tevelev, J. Algebraic Geom. 15 (2006), 657--680, pdf.

Compact moduli of plane curves, Duke Math. J. 124 (2004), no. 2, 213--257, pdf.

Semistable divisorial contractions, J. Algebra 278 (2004), no. 1, 173--186, pdf.


Lecture Notes.

Algebraic curves and Riemann surfaces (2008), 59pp., pdf.

Compact complex surfaces (2009), 84pp., pdf.


Other resources.

Some videos of my talks.

Past course webpages.


Return to UMass Mathematics Department.



Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).