David
C.
Barrow
Professor of Mathematics at the University of Georgia
Department of Mathematics
University of Georgia
Athens GA 30602, USA
Recent papers and preprints
(with Rita Pardini)
Explicit compactifications of
moduli spaces of Campedelli and Burniat
surfaces:
color version,
black-and-white version.
(with David Swinarski)
Nef divisors on \bar M_{0,n}
from GIT
Weighted grassmannians
and stable hyperplane arrangements
(updated 6/19/08)
Higher-dimensional analogues of stable curves,
Proceedings of Madrid ICM2006, 2 (2006), 515-536, Eur. Math. Soc. Pub. House.
(with Michael Guy)
Moduli of weighted stable maps and their gravitational
descendants,
Journal 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
and Yujiro Kawamata)
Termination of (many) 4-dimensional log flips
(successor to "A note on termination of 4-dimensional flips"
below)
Inventiones
Mathematicae,
168 (2007), 433-448.
(with
Viacheslav V. Nikulin)
Del Pezzo and K3 surfaces,
Memoirs of the Mathematical Society of Japan, 15 (2006), x+149pp.
(with Allen Knutson)
Complete moduli of branchvarieties, to appear in Crelle Journal.
A report
in the Bourbaki Seminar
on my research
(with Michel Brion)
Stable spherical varieties and their moduli
International Math. Research Papers, vol. 2006 (2006),
Article ID 46293, 57 pages.
Compactified jacobians and Torelli map
Publ. RIMS, Kyoto Univ.
40 (2004), 1241-1265.
(40-year RIMS anniversary issue)
A note on termination of 4-dimensional flips (6/8/2004)
(with
Viacheslav V. Nikulin)
Classification of log del Pezzo surfaces of index <=2
(with Michel Brion)
Toric degenerations of spherical varieties
Selecta
Mathematica 10 (2004), 1-26.
(with Ludmil Katzarkov)
On K-stability of reductive varieties
Geometric and Functional Analysis GAFA 15:2
(2005), 297-310.
(with Michel Brion)
Moduli of affine schemes with reductive group action
Journal of Algebraic Geometry 14 (2005), 83-117.
(with Michel Brion)
Boundedness of spherical Fano varieties
Proceedings of "The Fano conference" Turin Sept. 2002, pp. 69-80 (2004).
(with Michel Brion)
Stable reductive varieties I: Affine varieties
Inventiones Math.
157/2 (2004), 224-274.
(with Michel Brion)
Stable reductive varieties II: Projective case
Advances of Math.
184/2 (2004), 380-408.
Complete moduli in the presence of semiabelian group action
Annals of Math. 155 (2002), 611-708.
(with
Christina Birkenhake and
Klaus Hulek)
Degenerations of Prym varieties
Jour. f.d. Reine Angew. Mathematik (Crelle's Journal) 553
(2002), 73-116.
(with Shigefumi Mori)
Bounding singular surfaces of general type
In "Algebra, Arithmetic and Geometry with Applications", ed. by
Christensen et al, Springer-Verlag (2003), 143-174.
Descriptions of some older papers
My students
Vitaly Vologodsky, PhD 2003, The extended Jacobi and Prym maps
Tawanda Gwena, PhD 2004, Degenerations of
Prym varieties and Cubic
threefold
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
Lev Konstantinovsky
Teaching
Recipient of a 2009 Sandy Beaver Excellence in Teaching Award from the UGA Franklin College of Arts
and Sciences.
I am coorganizing the annual
UGA Mathematical Competition for High School Students
Conferences, talks, etc
(2008)
January 19 - February 7:
Tata Institute for fundametal
research, Mumbai, India
February 11 - May 10:
Research program on algebraic geometry,
MSRI, Berkeley, CA
February 23-27: Modern Moduli Theory,
MSRI, Berkeley, CA
May 11-15:
Classification
of algebraic varieties,
Schiermonnikoog, Netherlands
June 8-12:
Moduli and discrete groups,
RIMS,
Kyoto, Japan
June 29 - July 3:
Algebraic geometry conference in memory of
Vasily Iskovskikh,
Steklov Institute,
Moscow, Russia
August 24-29:
Arithmetic geometry and moduli spaces in algebraic
geometry,
CMS, Hangzhou, China
September 7-11: Workshop on algebraic geometry,
KIAS, Seoul, Korea
Algebraic geometry seminar
Schedule for the Fall 2008
semester,
Spring 2008 semester.
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