**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. **

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

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

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

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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. **

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

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

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** The following preprints are available upon request.**

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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