Research page
Research interests
 Homological algebra and higher algebraic structures,
such as Categories, Stacks, Gerbes, and their
differential geometry.
 Moduli of Riemann Surfaces and algebraic curves,
Teichmüller spaces and related structures.
 Mathematical Physics, in particular algebraic
structures related to Conformal Field Theory and
String Theory and their applications to Algebraic
Geometry and Complex Analysis.
Papers

Cup products, the Heisenberg group, and codimension two algebraic cycles, with Niranjan Ramachandran
arXiv:1510.01825,
local copy

Stacks of AnnCategories and their morphisms:
Theory and Applications of Categories 30 (2015), 1256–1286,
arXiv:1501.07592,
local copy

Biextensions, bimonoidal functors, multilinear functor calculus, and categorical rings:
(arXiv:1501.04664, local copy)

Notes on Weak Units
of Picard 1 and 2Stacks
(with A. Emin Tatar)

Butterflies II: Torsors for 2group stacks
(with Behrang
Noohi)
Advances in Mathematics 225
(2010), 922–976
DOI:
10.1016/j.aim.2010.03.011
Local copies:
DVI
PS
PDF

Butterflies I: Morphisms of 2group stacks
(with Behrang
Noohi)
Advances in Mathematics 221
(2009), 687–773
DOI:
10.1016/j.aim.2008.12.014
Local copies:
DVI
PS
PDF

2gerbes bound by complexes of
gr–stacks, and cohomology
Journal of Pure and Applied Algebra 212
(2008), 994–1038
DOI:
10.1016/j.jpaa.2007.07.020
Local copies:
DVI
PS
PDF

Hermitianholomorphic Deligne cohomology, Deligne
pairing for singular metrics, and hyperbolic
metrics
Int. Mathematics Research Notices
17 (2005), 1015–1046.
(Local
copies in
DVI
PS
PDF)

Hermitianholomorphic (2)gerbes and tame
symbols
Journal of Pure and
Applied Algebra 200 (2005),
97–135.
(Local copies in DVI PS PDF)

On
hermitianholomorphic classes related to
uniformization, the dilogarithm and the Liouville
action
Commun. Math. Phys. 251
(2004) 27–64
(Local copies in DVI PS PDF)

Homological algebra of multivalued action
functionals
Letters in Mathematical
Physics 60 (2002)
4758

Generating Functional in CFT on Riemann Surfaces
II: Homological Aspects (with
L. A. Takhtajan)
Commun. Math. Phys. 227 (2002)
303–348