Nagaraj's page

Nagaraj's page I am interested in the following areas of Mathematics: Algebraic Geometry and Algebraic Number theory.

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List of publications

On the moduli of curves with theta-characteristics
Compositio Mathematica,Vol 75, P. 287-297, 1990.
The stucture of Iwasawa module associated with a $Z^r_p$-extension of a p-adic local field of characteristic 0
Journal of Number theory,Vol 38,No 1, P. 52-57, May 1991.
(with A.R.Aithal) Splitting types of holomorphic bundles associateted to some hormonic maps.
Comm. In Algebra Vol 21 (10), P. 3727-3731, 1993.
(with S.Ramanan) Polarisation of type (1,2, ... ,2) on Abelian varieties
Duke Journal of Mathematics, (Pages, 157 - 194), Vol.80, No.1, Oct.1995.
(with C.S.Seshadri) Degenerations of the moduli spaces of vector bundles on curves I
Proc.Indian Acad. Sci (Math. Sci.), Vol. 107, No. 2, pp 101-137, May 1997.
(with Indranil Biswas) Parabolic ample bundles, II: Connectivity of zero locus of a class of sections
Topology, Vol. 37, No. 4, pp. 781-789, 1998.
(with Laytimi Fatima) On the Maximal Degeneracy Loci and the secant vector bundle
Jour. of Math. Sci.(Newyork) 94 (1999), No.1, 1068-1072.
(with C.S.Seshadri) Degenerations of the moduli spaces of vector bundles on curves II
Proc. Indian Acad. Sci. (Math. Sci.). Vol. 109, No.2, May 1999.
(with V. Balaji, and Indranil Biswas) On the principal bundles over projective manifolds with parabolic structure over a divisor
Tohoku Math. J. (2) 53 (2001), no. 3, 337--367.
(with V. Balaji, and Indranil Biswas) Principal bundles with parabolic structure
Electronic Research Announcements, AMS, Vol. 7, (2001), 37-44.
Higher Circular $\ell$-units of Anderson and Ihara
Current Trends in Number Theory, 124--128, eds. S.D. Adhikari et al, HBA. New Delhi. (2002).
(with S.P.Inamdar) Cycle class map and restriction of subvarieties
J. Ramanujan Math. Soc.,17. No.2, (2002), 85-91.
(with V. Balaji, and Indranil Biswas) Krull-schmidt reduction for principal bundles.
Journal für die reine und angewandte Mathematik (Crelle's Journal). (To appear).
(with V. Balaji, and Indranil Biswas) Ramified $G$-bundles as parabolic bundles
Journal of Ramanujan Mathematical Soc., 18(2):123-138, 2003.
$\ell$-adic representation attached to an elliptic curve over a number field
Elliptic Curves, Modular Forms and Cryptography (HRI Workshop Proceedings)
eds.A.K. Bhandari et al,HBA, New Delhi, 167-192, (2003).
Seshadri's work on moduli spaces - The case of singular curves
A Tribute to C. S. Seshadri
eds.V. Lakshmibai et al, HBA, New Delhi, 20-27, (2003).
Nef and big vector bundles
"Advances in Algebra and Geometry" (University of Hyderabad Conference 2001)
Editor C. Musili, HBA, New Delhi, 189-194, (2003).
(with B. Sury) The mordell-weil theorem
Elliptic Curves, Modular Forms and Cryptography (HRI Workshop Proceedings)
eds.A.K. Bhandari et al,HBA, New Delhi, 73-84, (2003).
(with B. Sury) On commutativity of rings
Journal of Ramanujan Mathematical Soc., 18(2):175-180, 2003.
(with B. Sury) A quick introduction to algebraic geometry and elliptic curves
Elliptic Curves, Modular Forms and Cryptography (HRI Workshop Proceedings)
eds.A.K. Bhandari et al,HBA, New Delhi, 5-32, (2003).

Keith Matthews, Number Theory Web Sites:
Number Theory Web

Hydrabad conf. Pictures(Thanks to D.Keeler) Dec. 2001(7-12):
Pic1
IMSc Num-Theory Conf. Pictures Jan. 2002(3-5):
Pic2

CAAG-VI at chennai 1--6 Aug 2005:
caag

Personal Information.

Address(Office):
Mathematics Section,
Institute of Mathematical Sciences,
C.I.T. campus,
Chennai 600 113.

Office: 421.

Address (Residence):
J-3,
Shivani, Block II
40, East Coast Road,
Thiruvanmiyur,
Chennai 600 041.

PHONE(IMSc): (044) 2254 3100
PHONE(Office): (044) 2254 3271
PHONE(Res) : (044) 2451 6393
FAX(IMSc) : +91-44-2254 1586
TELEGRAMS : MATSCIENCE, Chennai 600 113
E-MAIL : dsn@imsc.res.in.

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