Downloadable expository writing

Teichmueller spaces and Torelli theorems for hyperkaehler manifolds16 p. (Dec. 2019)

Some algebraic geometry related to the mapping class group, abstract of a survey talk given at the Oberwolfach workshop New Perspectives on the Interplay between Discrete Groups in Low-Dimensional Topology and Arithmetic Lattice, June 2015.

Moduli spaces and locally symmetric varieties, in: Development of Moduli Theory—Kyoto 2013, Adv. Studies in Pure Math. 69, Math. Soc., 2016.

From WZW models to modular functors, in: Handbook of Moduli, vol. II, G. Farkas, I. Morrison (eds.), 427-166, International Press, 2013.

Trento notes on Hodge theory, Trento Summer School on Hodge Theory September 2009, appeared  in the Rend. Sem. Mat. Univ. Pol. Torino 69, 113-148, 2011.

The Hitchin fibration, notes for a talk given in a seminar on Ngo’s preprint, Le lemme fondamental pour les algèbres de Lie, Nov. 2008, 9 p.

Uniformization by Lauricella functions-an overview of the theory of Deligne-Mostow, appeared in Lectures Notes for the CIMPA Summer School Arithmetic and Geometry Around Hypergeometric Functions 207-244, Progr. Math. 260, Birkhaüser Verlag Basel (2007).

(with T. Springer) Peter Slodowy (in German), appeared in Jahresber. Dtsch. Math.-Ver. 108 (2006), 105-117 .

Conformal blocks revisited, Intercity seminar April 15 2005 (this version of July 4 2005), 18 p. (superseded by From WZW models to modular functors.)

Motivic measures, Séminaire Bourbaki Mars 2000, appeared in Astérisque No. 276, 267-297, (2002).

A minicourse on moduli of curves, given at the School on Algebraic geometry 1999 at the ICTP, Trieste, appeared in ICTP Lecture Note series 1 (2000), 267-291.

Arrangements, KZ systems and Lie algebra homology, appeared in Singularity Theory, B. Bruce and D. Mond eds., London. Math. Soc. Lecture Note Series 263, CUP, 109-130, 1999.

(with Richard Hain) Mapping class groups and moduli of curves, appeared in Algebraic Geometry-Santa Cruz 1995, Proc. Symp. Pure Math 62, part 2, 97-142, 1997.

Intersection theory on Deligne-Mumford compactifications (after Witten and Kontsevich), Séminaire Bourbaki Mars 1993. Appeared in: Astérisque 216, 187-212.

Cohomology and intersection homology of algebraic varieties, appeared in Complex Algebraic Geometry at Park City, IAS/Park City Mathematical Series 3, AMS, 221-263, 1997.