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

Teaching.

Office hours:
Math 300. Mondays 4:00PM-5:00PM, Tuesdays 3:00PM-4:00PM, in my office LGRT 1235H.
Math 621. Mondays 3:00-4:00PM, Tuesdays 4:00PM-5:00PM, in my office LGRT 1235H.

Spring 2012
Math 621, Complex analysis, MWF 10:10AM-11:00AM, LGRT 1334. Course website.
Math 300, Fundamental concepts of mathematics, MWF 12:20PM-1:10PM, LGRT 119. Course website.

Fall 2011
Math 411, Algebra I, TuTh 11:15AM-12:30PM, LGRT 113. Course website.

Spring 2011
Math 612, Algebra II, MWF 10:10AM-11:00AM, LGRT 1322. Course website.

Fall 2010
Math 697B, Introduction to Riemann surfaces, TuTh 9:30AM-10:45AM, LGRT 1114. Course website.

Spring 2010
Math 462, Geometry II, MWF 11:15AM-12:05PM, LGRT 121. Course website.
Math 791, Learning seminar in algebraic geometry, Tu 4:00-6:00PM, LGRT 206. Course website.

Fall 2009
Math 235.4, Introduction to Linear Algebra, MWF 11:15AM-12:05PM, Goessmann 51. Course website.


Research.

My research is partially supported by NSF grant DMS-0968824.


Exceptional bundles associated to degenerations of surfaces, preprint arXiv:1107.2644, 19 pp., 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.

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.


Videos.

Smoothing surface singularities via mirror symmetry, MSRI, 12/4/09, here.

Moduli spaces of complex surfaces, UT Austin, 3/24/09, here.

Constructing surfaces of general type by deformation theory, MSRI, 8/3/07, here.

Noncommutative deformations of K3 surfaces, MSRI, 4/20/07, here.

Moduli of hyperplane arrangements, MSRI, 10/5/04, here.


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}, in Analytic and Algebraic Geometry: Common Problems, Different Methods, IAS/Park City Math. Ser. 17 (2010), p.557--582, 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).