Department of Mathematics and Statistics
Lederle Graduate Research Tower, Box 34515
University of Massachusetts Amherst
Amherst, MA 01003-9305, USA hacking@math.umass.edu
Math 421 Complex variables, MWF 11:15AM--12:05PM, LGRT 171. Course website.
Math 611 Graduate Algebra I, MWF 9:05AM--9:55AM, LGRT 219. Course website.
Office hours:
421: Mondays 5:00PM--6:00PM and Tuesdays 4:00PM--5:00PM
611: Mondays 3:00PM--4:00PM and Tuesdays 5:00PM--6:00PM.
Research.
My research is partially supported by NSF grant DMS-1201439.
Canonical bases for cluster algebras, with Mark Gross, Sean Keel, and Maxim Kontsevich, preprint arXiv:1411.1394, 136pp., pdf.
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, Algebr. Geom. 2 (2015), no. 2, 137--175., 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, Compos. Math. 151 (2015), no. 2, 265--291, 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., to appear in Publ. Math. Inst. Hautes Études Sci., 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.
Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).