PostDoctoral Stay:  

University of Paris -6, France in  1999-2000

University of Essen, Germany 2000-2002

Max Planck Institute of Mathematiks, Bonn, Germany 2002-2003

Institute for Advanced Studies, Princeton, USA 2006-2007

Institut des Hautes Études Scientifiques, Paris, France --Jan-June 2013

Institute of Mathematical Sciences, Chennai, India,  since 2003--

Fellow of Indian Academy of Sciences, Benguluru, India, since 2013

Fellow of National Academy of Sciences, Allahabad, India,since 2013

LIST OF PAPERS (full texts at   math arXiv )

• 
  (1)  Projective normality of abelian surfaces, given by primitive line bun-dles, Manuscripta Mathematica, 98, 1999, 139-153.
  

• 
  (2)  Line Bundles of type (1,...,1,2,...,2,4,...,4) on Abelian Varieties, International Journal of Mathematics, 12, 2001, no. 1, 125-142.
  

• 
  (3)  Linear systems on abelian varieties of dimension 2g + 1, Proceedings
  
  of Amer. Math. Soc. 130 (2002), no. 4, 959-962.
  

• 
  (4)  Projective normality of abelian varieties, Transactions of Amer. Math.
  
  Soc. 355 (2003), 3227-3239.
  

• 
  (5)  The de Rham bundle on a compactification of the moduli space of
  
  abelian varieties, Compositio Mathematica (2003), no.3, Vol.136,
  
  317-321.
  

• 
  (6)  Indecomposable cycles on special quartics in P3, Manuscripta Math-
  
  ematica (2003), no.3, 311, 277-285.
  

• 
  (7)  A note on syzygies of projective varieties, in Commutative algebra
  
  and algebraic geometry, 109–117, Contemp. Math., 390, Amer.
  
  Math. Soc., Providence, RI, 2005.
  

• 
  (8)  (with I. Biswas) Vanishing of Chern classes of deRham bundles for
  
  some families of moduli spaces, Communications in Algebra, Volume
  
  35, Issue 5, 2007, 1525 - 1531.
  

• 
  (9)  (with I. Biswas) Holomorphic connections on some complex mani-
  
  folds, C. R. Math. Acad. Sci. Paris, 2007 - Volume 344 - no. 9,
  
  577-580.
  

• 
  10)  (with C. Simpson) A relation between the parabolic Chern charac-
  
  ters of the de Rham bundles, Mathematisches Annalen, 2007,no. 2,
  
  Vol.338, 347-383.
  

• 
  (11)  Chern invariants of some flat bundles in the arithmetic Deligne co-
  
  homology, Math. Zeitschrift, Volume 260, Number 1, 2008.
  

• 
  (12)  (with C. Simpson) The Chern character of a parabolic bundle, and a parabolic Reznikov theorem in the case of finite order at infinity, Progress in Math. Birkhau ̈ser, ’Geometry and Dynamics of group actions’ in memory of A. Reznikov at MPI, Bonn 2006, 57 pages, Volume 265, 2008.

• 
  (13)  Murre’s conjectures and explicit Chow–Ku ̈nneth projectors for vari-
  
  eties with a nef tangent bundle, Trans. of Amer. Math. Soc., 361
  
  (2009) 1667-1681.
  

• 
  (14)  (with U. Iyer) Chern-Simons classes for a superconnection, Exposi-
  
  tiones Mathematicae, 27 (2009), no. 4, 351–361.
  

• 
  (15)  (with C. Simpson) Regulators of canonical extensions are torsion;
  
  the smooth divisor case, preprint 2007, arXiv math.AG/07070372.
  

• 
  (16)  (with S. Mu ̈ller-Stach) Chow–Ku ̈nneth decomposition for some mod-
  
  uli spaces, Documenta Mathematica, 14, 2009, 1-18.
  

• 
  (17)  Absolute Chow-Ku ̈nneth decomposition for rational homogeneous bundles over a variety and for log homogeneous varieties, Michigan
  
  Math. Journal, Vol.60, 1, 2011, 79-91.
  

• 
  (18)  (with A. Hirschowitz) Hilbert schemes of fat r-planes and trivial-
  
  ity of Chow groups of complete intersections, Vector bundles and Complex Geometry, 53-70, Contemporary Math., Amer.Math.Soc., Providence, RI, 2010.
  

• 
  (19)  (with S. Mueller-Stach) A note on unirationality of a moduli space of double covers, Mathematische Nachrichten Vol. 284, No. 17-18, 2206-2211 (2011).
  

• 
  (20)  The Abel-Jacobi isomorphism for one cycles on Kirwan’s resolution of the moduli space SUC (2, OC ), with an Appendix by James Lewis, J. Reine Angew. Math. 696 2014, 1–29.
  

• 
  (21)  (with J-L. Colliot Th ́el`ene) Potential density for families of homo- geneous spaces, Vol 27, no. 3, Journal of Ramanujan Math.Society, 2012.
  

• 
  (22)  Tautological ring of the moduli space of generalised parabolic line bundles on a curve, Communication in Algebra 42, no. 2, 2014, 755–763.
  

• 
  23)  (with S.Chintapalli) Semistablity of logarithmic tangent bundle on some projective manifolds, Communication in Algebra 42, no. 4, 1732–1746.
  

• 
  (24)  (with S. Chintapalli) Embedding theorems on hyperelliptic varieties, Geometria Dedicata 171, 2014, 249–264.
  

• 
  25)  Chern-Cheeger-Simons theory. Asia Pac. Math. Newsl. 4, no. 1, 2014 1–3.
  

• 
  (26)  Stability of the tangent bundle on moduli space of stable bundles on a curve, preprint 2014.
  

• 
  (27)  Cohomological invariants of a variation of flat connection, arXiv:1504.05126, Letters in Mathematical Physics, 2016.
  

• 
  (28)  (Pedro Luis del Angel, Charles Doran, Jaya Iyer, Matt Kerr, James D. Lewis, Stefan Mueller-Stach, Deepam Patel) Specialization of cy- cles and the K-theory elevator, 45 pages, arXiv:1704.04779, Commu- nications in Physics and Number theory, 2019.
  

• 
  (29)  (with Roy Joshua) Brauer groups of schemes associated to symmet- ric powers of smooth projective curves in arbitrary characteristics, Journal of Pure and Applied Algebra, 2019.
  

• 
  (30)  (with K.Banerjee, J. Lewis) On the kernel of the push-forward homo- morphism between Chow groups, Mathematische Nachrichten, 2021.
  

• 
  (31)  (with C. Gangopadhyay, A. Mukherjee) Tautological algebra of the moduli stack of semi-stable bundles of rank two on a general curve,
  
  math arXiv: 2002.00568, preprint 2020.
  

• 
  (32)  (with R. Joshua) The Brauer groups of algebraic stacks and GIT
  
  quotients, preprint 2022, math.arXiv:2106.14268.
  

• 
  (33)  (with R. Parimala, Appendix by S. Ramanan) Period -index prob-
  
  lems for hyperelliptic curves, preprint 2021.