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


Reading seminar in algebraic geometry: Mirror symmetry and tropical geometry.

AGNES: Algebraic Geometry North Eastern Series.

Teaching.

Office hours: Mondays and Tuesdays, 4:00--5:00PM, in my office LGRT 1235H.


Fall 2009: Math 235.4, Introduction to Linear Algebra, MWF 11:15AM-12:05PM, LGRT 111 Course website


Research.

My research is partially supported by NSF grants DMS-0650052 and DMS-0968824.


Smoothable del Pezzo surfaces with quotient singularities, with Yuri Prokhorov, 22pp., to appear in Compositio Mathematica, 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, 59pp., pdf.

Compact complex surfaces, 84pp., pdf.

Lectures on flips and minimal models, with Alessio Corti, J\'anos Koll\'ar, Robert Lazarsfeld, and Mircea Musta\c{t}\u{a}, 29pp., pdf.


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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).