University of Georgia
Athens GA 30602, USA
Recent papers and preprints
(with Rita Pardini)
On the existence of ramified
abelian covers, Rendiconti del Seminario Matematico Universita e Politecnico di Torino, to appear.
(with Dmitri Orlov)
Derived categories of Burniat surfaces and exceptional collections, Math. Annalen, to appear.
(with Alexander Borisov)
On the log discrepancies in
Mori contractions, Proc. Amer. Math. Soc., to appear.
(with Christopher Hacon)
Non-rational centers of log canonical singularities,
J. Algebra, 369 (2012), 1-15.
Tenini, et al.)
Torelli map to the Igusa blowup in genus 6, 7, and 8.
Experimental Mathematics, 21(2), 2012, 193-203.
(with Rita Pardini)
148, no. 4 (2012), 1051-1084.
(with Adrian Brunyate)
Extending Torelli map to toroidal compactifications of Siegel space, Inventiones Mathematicae, 188 (2012), issue 1, 175-196.
(with Angela Gibney
blocks divisors on
from sl(2), Proc. Edinburgh Math. Soc., to appear.
(with Rita Pardini)
compactifications of moduli spaces of Campedelli and Burniat surfaces:
(with David Swinarski)
Nef divisors on
from GIT, Geometry and Arithmetic, 2012, European Math. Soc., EMS Congress Reports, pp. 1-22.
Weighted grassmannians and stable hyperplane
analogues of stable curves,
Proceedings of Madrid ICM2006, 2 (2006), 515-536,
Eur. Math. Soc. Pub. House.
weighted stable maps and their gravitational descendants,
of the Institute of Mathematics of Jussieu, 7
(2008), no.3, 425-456.
Limits of stable pairs, Pure and Applied
Math Quaterly, 4 (2008), no.3, 767-783.
(with Christopher Hacon
of (many) 4-dimensional log flips
(successor to "A note on termination of 4-dimensional flips" below)
168 (2007), 433-448.
Viacheslav V. Nikulin) Del Pezzo and K3 surfaces,
of the Mathematical Society of Japan, 15
(with Allen Knutson)
moduli of branchvarieties, Jour. f.d. Reine Angew.
Mathematik (Crelle's Journal), 639 (2010), 29-71.
report in the Bourbaki Seminar
on my research
Stable spherical varieties and their moduli
International Math. Research Papers, vol. 2006 (2006), Article ID
46293, 57 pages.
jacobians and Torelli map
RIMS, Kyoto Univ.
40 (2004), 1241-1265.
(40-year RIMS anniversary issue)
(Here is a local
A note on termination of 4-dimensional flips
Viacheslav V. Nikulin)
Classification of log del Pezzo surfaces of index
Toric degenerations of spherical varieties
Mathematica 10 (2004), 1-26.
(with Ludmil Katzarkov)
On K-stability of reductive varieties
Geometric and Functional Analysis GAFA 15:2
Moduli of affine schemes with reductive group
Journal of Algebraic Geometry 14 (2005),
of spherical Fano varieties
Proceedings of "The Fano conference" Turin Sept. 2002, pp. 69-80
Stable reductive varieties I: Affine varieties
157/2 (2004), 224-274.
Stable reductive varieties II: Projective case
Advances of Math.
184/2 (2004), 380-408.
Complete moduli in the presence of semiabelian
Annals of Math. 155 (2002), 611-708.
Birkenhake and Klaus
Degenerations of Prym varieties
Jour. f.d. Reine Angew. Mathematik (Crelle's Journal) 553
(with Shigefumi Mori)
singular surfaces of general type
In "Algebra, Arithmetic and Geometry with Applications", ed. by
Christensen et al, Springer-Verlag (2003), 143-174.
(with Iku Nakamura)
Mumford's construction of degenerating abelian varieties, Tohoku
Mathematical Journal 51(1999), 399-420.
(with Arnaud Beauville, C. Herbert Clemens, Elham Izadi)
Curves and Abelian Varieties: International conference March 30-April
2, 2007, University of Georgia, Athens. Contemporary
Mathematics, American Math. Soc.,
Vol. 465 (2008), 270 pp.
(with Angela Gibney, Elham Izadi, Eduard Looijenga, János
Compact Moduli and Vector Bundles. Proceedings of the 2010
conference at the University of Georgia, Athens.
Contemporary Mathematics, American Math. Soc., 255 pp. to appear.
Some conferences I coorganized
March 30 - April 3, 2007:
and abelian varieties, University of Georgia, Athens, GA
October 21-24, 2010: Compact
moduli and vector bundles,
University of Georgia,
May 21 - June 1, 2012:
UGA school and conference on algebraic geometry, Athens, GA
Vitaly Vologodsky, PhD 2003, The extended Jacobi and Prym maps
Tawanda Gwena, PhD 2004, Degenerations of Prym varieties and
Michael Guy, PhD 2007, Moduli of Weighted Stable Maps and
Their Gravitational Descendants
Peter Petrov, PhD 2007, Nash problem on spaces of arcs
Joe Rusinko, PhD 2007, Equivalence of
Mirror Families Constructed from Toric Degenerations of Flag Varieties
Xiaoyan (Shannon) Hu
"Graph theory". Textbook:
Agnarsson-Greenlaw, Graph Theory: Modeling, Applications, and Algorithms
I am coorganizing the annual
Mathematical Competition for High School Students
Recipient of a 2009 Sandy Beaver Excellence in
Teaching Award from the UGA Franklin College of Arts and Sciences.
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