Rajesh S. Kulkarni

PUBLICATIONS/PREPRINTS

1) Irreducible representations of Witten's deformations of U(sl_2), Journal of Algebra 214 (1999), no. 1, 64-91.

2) Down-up algebras and their representations, Journal of Algebra 245 (2001), no. 2, 431-462.

3) On the Clifford algebra of a binary form(ps file), Transactions of the AMS 355 (2003), no. 8, 3181-3208.

4) The extension of the reduced Clifford algebra and its Brauer class(ps file), Manuscripta Mathematica 112 (2003), 297-311.

5) Del Pezzo Orders on Projective Surfaces (ps file), (with Daniel Chan) Advances in Mathematics 173 (2003), 144-177.

6) Self-dual sheaves on reductive Borel-Serre compactifications of Hilbert modular surfaces (psfile), (with Markus Banagl) Geometriae Dedicata 105 (1) (2004), 121-141.

7) Numerically Calabi-Yau Orders on surfaces(ps file), (with Daniel Chan) J. London Math. Soc. Vol. 72(3), (2005), 571-584.

8) Down-up algebras at roots of unity, Proc. Amer. Math. Soc. 136 (2008), no. 10, 3375–3382.

9) Moduli of bundles on exotic del Pezzo orders, (with Daniel Chan) Amer. J. Math. 133 (2011), no. 1, 273–293.

10) BLT Azumaya algebras and moduli of maximal orders, (with Max Lieblich) submitted.

11) On representations of Clifford algebras of ternary cubic forms, (with Emre Coskun and Yusuf Mustopa) New trends in noncommutative algebra, 91–99, Contemp. Math., 562, Amer. Math. Soc., Providence, RI, 2012.

12) The geometry of Ulrich bundles on del Pezzo surfaces, (with Emre Coskun and Yusuf Mustopa) J. Alg. 375 (2013), 280-301.

13) Pfaffian quartic surfaces and representations of Clifford algebras, (with Emre Coskun and Yusuf Mustopa) Doc. Math. 17 (2012), 1003-1028.

The following preprints are available upon request.

14) Cyclicity of certain division algebras over $k( \mathbb{C} \mathbb{P}^2)$, (with Manish Kumar) preprint.

15) Relative Brauer groups and graded represenations of Clifford algebras, (with Aaron Levin) preprint.

16) Elliptically fibred orders on surfaces, (with Daniel Chan) preprint.

17) Self-dual sheaves on compactifications of locally symmetric spaces: Q-rank 1 case (I am adding a section on unitary Shimura varieties, so this will reappear after this addition.)

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