Papers
31. Lefschetz theorems for Principal Bundles (with
Ajneet Dhillon),
Submitted.
[pdf]
30. Defects of Codes from Higher Dimensional Varieties (with
Mahir Bilen Can and
Roy Joshua ),
Designs, Codes and Cryptography, (to appear). [pdf]
29. Hodge rank of ACM bundles and Franchetta's conjecture
(with Indranil Biswas ),
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,
(to appear). [pdf]
28. Higher Grassmann codes - II (with
Mahir Bilen Can and
Roy Joshua ),
Finite Fields and
Applications 89 (2023), 102211. [pdf]
27. On the base case of a conjecture on ACM bundles over
hypersurfaces (with Amit
Tripathi),
Geometriae Dedicata
216 (2022), issue 5, 10pp. [pdf]
26. Higher Grassman codes (with Mahir
Bilen Can and
Roy Joshua),
Finite Fields and
Applications 76 (2021), 101905.
[pdf]
25. Grothendieck-Lefschetz and Noether-Lefschetz for bundles
(with Amit Tripathi),
Proceedings of the American Mathematical Society
149 (2021), No. 12, 5025--5034.
[pdf]
24. Rank 3 ACM bundles on general hypersurfaces in P^5 (with Amit Tripathi),
Advances in Mathematics 355C (2019)
106780. [pdf]
23. Remarks on higher rank ACM bundles
on hypersurfaces (with Amit
Tripathi),
Comptes Rendus Mathématique de
l'Académie des Sciences, Paris Ser. I 356 (2018), No.
11-12, 1215--1221. [pdf]
22. Lefschetz
theorems for torsion algebraic cycles in codimension 2 (with Deepam Patel),
Advances in Mathematics 316 (2017),
554--575. [pdf] [Erratum]
21. An infinitesimal Noether Lefschetz
theorem for Chow groups (with Deepam Patel),
Journal
of Pure and Applied Algebra 221 (2017), No. 8, 1926--1933.
[pdf]
20. The Weak Lefschetz theorem for
Chow groups: Infinitesimal liftings (with Deepam Patel),
Homology, Homotopy and Applications
16 (2014), No. 2, 65--84. [pdf]
19. Torsion
points and matrices defining elliptic curves (with Amit Tripathi),
International Journal of Algebra and Computation
24, (2014), No. 06, 879--891. [pdf]
18. Towards connectivity for codimension 2 cycles: Infinitesimal deformations
(with Deepam Patel),
Journal of Algebra
399 (Feb 2014), 407--422. [pdf]
17.
Extension theorems for vector bundles with applications to Noether-Lefschetz theorems
(with Amit Tripathi),
Communications in Contemporary Mathematics
15 (2013), No. 5, 1350003 (20 pages). [pdf]
16. Arithmetically Cohen-Macaulay bundles on complete intersection varieties of
sufficiently high multi-degree (with J.Biswas),
Mathematische Zeitschrift 265 (2010), No. 3, 493--509.
[pdf]
15. Curves on threefolds and a conjecture of
Griffiths-Harris,
Mathematische Annalen
345 (2009), No. 3, 731--748. [pdf]
14. The Noether-Lefschetz theorem for the divisor class group (with V. Srinivas),
Journal of Algebra 322 (2009),
3373--3391. [pdf]
13. On codimension two subvarieties in
hypersurfaces (with N. Mohan Kumar and A. P. Rao),
Fields Institute Communications 56, (2009), 167--174. [pdf]
12. On the Picard bundle (with
I.Biswas),
Bulletin des Sciences Mathematiques
133 (2009), No. 1, 51--55.
[pdf]
11. On some moduli spaces of stable vector bundles on
cubic and quartic threefolds (with I.Biswas and J.Biswas),
Journal of Pure and Applied Algebra 212 (2008), No. 10,
2298--2306.
[pdf]
10. The Noether-Lefschetz theorem via vanishing of coherent
cohomology,
Canadian Math
Bulletin 51 (2008), No. 2, 283--290. [pdf]
9. Arithmetically Cohen-Macaulay bundles on three dimensional hypersurfaces
(with N. Mohan Kumar and A. P. Rao),
International Math Research Notices
2007, No. 8, Art. ID rnm025, 11 pp. [pdf]
8. Arithmetically Cohen-Macaulay bundles on hypersurfaces (with N. Mohan
Kumar and A. P. Rao),
Commentarii Mathematici Helvetici
82 (2007),
No. 4,
829--843. [pdf]
7.
Generators for vector bundles on generic hypersurfaces (with N. Mohan Kumar and A. P. Rao) ,
Mathematical Research Letters
14 (2007),
No. 4, 649--655. [pdf]
6. On the geometry of generalized quadrics (with N. Mohan Kumar and A. P. Rao),
Journal of Pure and Applied Algebra
208 (2007), No. 3, 1051--1054.
[pdf]
5. Four-by-Four Pfaffians (with N. Mohan Kumar and A. P. Rao),
Rendiconti del Seminario
Matematico. Universita e Politecnico Torino 64 (2006), No. 4,
471--477. [pdf]
4. Zero cycles on certain surfaces in arbitrary characteristic,
Proceedings of the Indian Academy of Sciences (Mathematical
Sciences) 116 (2006),
No. 1, 37--50. [pdf]
3. A note on detecting algebraic cycles,
Canadian Math Bulletin 49 (2006),
No. 3, 464--471.
[pdf]
2. The Grothendieck-Lefschetz theorem for normal projective varieties (with V. Srinivas),
Journal of Algebraic Geometry 15
(2006), No. 3, 563-590.
[pdf]
1. Higher Abel-Jacobi maps (with J.Biswas,
G.Dayal and K.Paranjape),
TIFR Proceedings of the international colloquium in Algebra, Arithmetic and Geometry,
2000.
[pdf]
Other
1. Hodge style Chern classes for vector bundles on schemes in characteristic
zero (with N. Mohan Kumar and A. P. Rao),
Expository notes.
[pdf]
