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My preprints or postprints:

1. Geometry of cohomology support loci for local systems I (published in J. Alg. Geom. 1997)
2. Geometry of cohomology support loci II: integrability of Hitchin's map (1997)
3. (with M. Nori) Solvable fundamental groups of algebraic varieties and Kaehler manifolds (published in Compositio Math. 1999)
4. Building mixed Hodge structures (in: The arithmetic and geometry of algebraic cycles, AMS 2000 )
5. (with P. Sastry) Intermediate Jacobians and Hodge Structures of Moduli Spaces (published in Proc. Ind. Acad. Sci. 2000)
6. A class of sheaves satisfying Kodaira's vanishing theorem (published in Math. Ann. 2000)
7. (with S. Archava) Kodaira dimension of symmetric powers ( published in Proc. AMS 2003)
8. Hodge cycles on some moduli spaces
9. (+ appendix by D. Keeler) Frobenius amplitude and strong vanishing theorems for vector bundles (published Duke Math. J, 2004)
10. The Leray spectral sequence is motivic (published in Inventiones Math. 2005)
11. Kahler Solvmanifolds (published Internat. Math. Res. Notices, 2004)
12. Partial regularity and amplitude (published in Amer. J. Math, 2006)
13. (with S-J. Kang) Functoriality of the coniveau filtration Canad. Math. Bull. (2007)
14. Motivation for Hodge cycles (published in Advances in Math, 2006)
15. The Hodge conjecture for rationally connected fivefolds
16. (with S-J. Kang) Coniveau and the Grothendieck group of varieties (published in Mich. Math. J., 2006)
17. (with A. Dhillon) The motive of the moduli stack of G-bundles over the universal curve ( Proc. Ind. Acad. Sci., 2008)
18. Mixed Hodge structures associated to geometric variations (to appear in Cycles, Motives, Shimura Varieties, TIFR Mumbai)
19. Varieties with very little transcendental cohomology (published in Motives and Algebraic Cycles, Fields Inst.)
20. A category of motivic sheaves
21. Frobenius Amplitude and Vanishing on Singular Spaces
22. (with M. Kumar) Beilinson-Hodge cycles on semiabelian varieties (Math. Res. Let., 2009)
23. The Hodge theoretic fundamental group and its cohomology (to appear in Proc. Conf on Alg. Cycles, Ohio State)
24. (with P. Baktary, J. Wlodarczyk) The combinatorial part of the cohomology of a singular variety.
25. Homomorphisms between Kaehler groups

• Some applications of positive characteristic techniques to vanishing theorems (pdf file), Talk at Lipman Conf.
• Higgs Bundles, Integrability, and holomorphic forms (dvi file) (published in Motives, Polylogarithms and Hodge theory, Int'l Press 2002)
• Sato-Tate and beyond
• Notes on D-modules and connections with Hodge theory (pdf file)
• Notes on the Hodge conjecture (pdf file) Talks at Chennai
• Cohomology support loci for local systems and Higgs bundles Talks at U. Michigan

• Abstract Algebra done Concretely (pdf file, 550K)
• Algebraic Geometry over the complex numbers
• An introduction to differential forms (pdf file)
• Introduction to algebraic geometry (web page)
• A gallery of complex curves (web page)

• UC Davis front end to Math ArXiv
• The American Math Society
• Purdue math department home page
• MathSciNet
• SGA Online
• Back issues of Publ. IHES (including EGA)

You can contact me via email at arapura*math.purdue.edu, where * should be replaced by @ , or you can contact me by phone at (765) 494-1983, or by mail at