Andrei Căldăraru 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 Algebra and algebraic geometry seminar
Teaching:	Math 763: Introduction to Algebraic Geometry
Publications:	All the papers below are also available from the Mathematics ArXiv.
	Recent papers: Effective categorical enumerative invariants (with Junwu Tu), arXiv:2404.01499, supersedes the two papers CEI I, II below. Moonshine at Landau-Ginzburg points (with Yunfan He and Shengyuan Huang), to appear in Proc. AMS, arXiv:2107.12405. The cup product in orbifold Hochschild cohomology (with Shengyuan Huang), under revision, Adv. Math., arXiv:2101.06276. Categorical enumerative invariants: Categorical enumerative invariants, I: String vertices (with Kevin Costello and Junwu Tu), arXiv:2009.06673, superseded by the Effective CEI paper above. Categorical enumerative invariants, II: Givental formula (with Junwu Tu), arXiv:2009.06659, superseded by the Effective CEI paper above. (see series of 5 talks about the above two papers) Categorical primitive forms and Gromov-Witten invariants of An singularities (with Si Li and Junwu Tu), International Mathematics Research Notices, rnz315, https://doi.org/10.1093/imrn/rnz315 Computing a categorical Gromov-Witten invariant (with Junwu Tu), Compos. Math. 156 (2020), no. 7, 1275-1309 (see video of talk about this paper). Derived algebraic geometry and interactions with Lie theory: Formality of derived intersections and the orbifold HKR isomorphism (with Dima Arinkin and Marton Hablicsek), J. Algebra 540 (2019), pp. 100-120, issn: 0021-8693, doi:10.1016/j.jalgebra.2019.08.002. Derived intersections and the Hodge theorem (with Dima Arinkin and Marton Hablicsek), Algebraic Geometry 4 (2017), 394-423 On the Lie algebroid of a derived self-intersection (with Damien Calaque and Junwu Tu) Adv. Math. 262 (2014), 751--783 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) New York J. Math. 19 (2013), 305-342 PBW for an inclusion of Lie algebras (with Damien Calaque and Junwu Tu) J. Algebra 378 (2013), 64-79 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 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 Non-birational derived equivalences: GLSM realizations of maps and intersections of Grassmannians and Pfaffians (with Johanna Knapp and Eric Sharpe), J. High Energ. Phys. (2018) 2018: 119, also arXiv:1711.00047 Intersections of two Grassmannians in P9 (with Lev Borisov and Alex Perry), J. reine angew. Math. (Crelle), 760 (2020), 133-162 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 Elliptic fibrations, K3 surfaces, and twisted sheaves: 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 Non-fine moduli spaces of sheaves on K3 surfaces Internat. Math. Res. Notices 2002 (2002), no. 20, 1027-1056 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 Ph.D. thesis: Derived categories of twisted sheaves on Calabi-Yau manifolds Ph.D. Thesis, Cornell University, May 2000 General expository: Derived categories of sheaves: a skimming Snowbird lectures in algebraic geometry, 43-75, Contemp. Math., 388, Amer. Math. Soc., Providence, RI, 2005