Andrei Căldăraru Associate Professor Department of Mathematics  University of Wisconsin, Madison  480 Lincoln Dr Madison WI 53706-1388   andreic@math.wisc.edu  Office: van Vleck 605 Phone: (608) 262-2880 Fax: (608) 263-8891

Research:	Algebraic geometry, homological algebra, string theory
	Curriculum Vitae List of publications Algebraic geometry seminar
Teaching:	MATH 742 Graduate Algebra II
Publications:	All the papers below are also available from the Mathematics ArXiv.
	Preprints: When is the self-intersection of a subvariety a fibration? (with Dima Arinkin) Adv. Math. 231 (2012), no. 2, 815--842 Curved A-infinity algebras and Landau-Ginzburg models (with Junwu Tu) arXiv:1007.2679 PBW for an inclusion of Lie algebras (with Damien Calaque and Junwu Tu) To appear, J. Algebra, or arXiv:1010.0985 Ph.D. thesis: Derived categories of twisted sheaves on Calabi-Yau manifolds Ph.D. Thesis, Cornell University, May 2000 Elliptic fibrations: Derived categories of twisted sheaves on elliptic threefolds J. reine angew. Math. 544 (2002), 161-179 Fiberwise stable bundles on elliptic fibrations with relative Picard number one CR Acad. Sci. Paris Ser. I 334 (2002), no. 6, 469-472 K3 surfaces: Non-fine moduli spaces of sheaves on K3 surfaces Internat. Math. Res. Notices 2002 (2002), no. 20, 1027-1056 Hochschild homology and cohomology: Algebraic deformations arising from orbifolds with discrete torsion (with Anthony Giaquinto and Sarah Witherspoon) J. Pure Appl. Algebra 187 (2004), no. 1-3, 51--70. The Mukai pairing, I: a categorical approach (with Simon Willerton) New York J. Math. 16 (2010), 61-98 The Mukai pairing, I: the Hochschild structure Preprint, math.AG/0308079, superseded by the paper above The Mukai pairing, II: the Hochschild-Kostant-Rosenberg isomorphism Adv. in Math. 194 (2005), no. 1, 34-66 Physics and string theory: D-branes, B-fields and Ext groups (with Sheldon Katz and Eric Sharpe) Adv. Theor. Math. Phys. 7 (2003), no. 3, 381-404. Non-birational twisted derived equivalences in abelian GLSMs (with Jacques Distler, Simeon Hellerman, Tony Pantev and Eric Sharpe) Comm. Math. Phys. 294 (2010), no. 3, 605-645 General expository: Derived categories of sheaves: a skimming Snowbird lectures in algebraic geometry, 43-75, Contemp. Math., 388, Amer. Math. Soc., Providence, RI, 2005 Non-birational derived equivalences: Non-birational Calabi-Yau threefolds that are derived equivalent Internat. J. Math. 18 (2007), no. 5, 491-504 The Pfaffian-Grassmannian derived equivalence (with Lev Borisov) J. Algebraic Geom. 18 (2009), no. 2, 201-222