PUBLICATIONS:
. . . . . A. Mathematics research:
1. Generalized intermediate Jacobians and the theorem on normal functions. Inventiones Math. 33 (1976), 185-222.
2. The Hodge conjecture for cubic fourfolds (includes appendix: Complex tori with non-analytic rational cohomology of type (p,p)). Compositio Math. 34 (1977), 199-209.
3. Intermediate Jacobians and the Hodge conjecture for cubic fourfolds. Proc. of Symposia in Pure Math. 30 (1977), 303-306.
4. Estimates for the classical parametrix for the Laplacian. Manuscripta Math. 24 (1978), 9-29.
5. Théorie de Hodge à coefficients dégénérescents. Comptes Rendus Acad. Sci. 286 (1978), 1137-1140.
6. Hodge theory with degenerating coefficients: L2-cohomology in the Poincaré metric. Annals of Math. 109 (1979), 415-476.
7. An example of L2-cohomology and Hodge theory on non-compact manifolds. In: Partial Differential Equations and Geometry, Marcel Dekker (1979), 313-319.
8. (with D. Cox) Intersection numbers of sections of elliptic surfaces. Inventiones Math. 53 (1979), 1-44.
9. Remarks on a theorem of Fujita. J. Math. Soc. Japan 34 (1982), 47-54.
10. Locally homogeneous variations of Hodge structure. L'Enseignement Math. 27 (1981), 243-276.
11. L2-cohomology of warped products and arithmetic groups. Inventiones Math. 70 (1982), 169-218.
12. L2-cohomology and intersection homology of locally symmetric varieties. Proc. of Symposia in Pure Math. 40 (1983) Part 2, 675-680.
13. Hodge theory and arithmetic groups. In: Analyse et Topolgie sur les Espaces Singuliers. Astérisque 101-102 (1983), 365--381.
14. Satake compactifications. Commentarii Math. Helvetica 58 (1983), 312-343.
15. A tensorial curvature and a theorem of Chern. Math. Zeit. 182 (1983), 87-94.
16. Degeneration of Hodge bundles (after Steenbrink). Topics in Transcendental Algebraic Geometry, Annals of Math. Studies 106 (1984), Princeton University Press, 121-141.
17. Intermediate Jacobians and normal functions. Topics in Transcendental Algebraic Geometry, Annals of Math. Studies 106 (1984), Princeton University Press, 259-267.
18. (with F. El Zein) Extendability of normal functions associated to algebraic cycles. Topics in Transcendental Algebraic Geometry, Annals of Math. Studies 106 (1984), Princeton University Press, 269-288.
19. (with J. Steenbrink) Variation of mixed Hodge structure, I. Inventiones Math. 80 (1985), 489-542.
20. Variation of mixed Hodge structure, II. Inventiones Math. 80 (1985), 543-565.
21. On the monodromy of algebraic varieties. Proc. Conf. on Algebraic Geometry, Vancouver, CMS 6 (1986), 499-503.
22. L2-cohomology and intersection homology of locally symmetric varieties, II. Compositio Math. 59 (1986), 339-398.
23. (with R. Hain) Unipotent variations of mixed Hodge structure. Inventiones Math. 88 (1987), 83-124.
24. (with R. Hain) A guide to unipotent variations of mixed Hodge structure. In: Hodge Theory: Proceedings, Sant Cugat, Spain, 1985. Lecture Notes in Math. 1246 (1987), 92-106.
25. (with R. Hain) Truncations of mixed Hodge complexes. In: Hodge Theory: Proceedings, Sant Cugat, Spain, 1985. Lecture Notes in Math. 1246 (1987), 107-114.
26. The Hodge structures on the intersection homology of varieties with isolated singularities. Duke Math. J. 55 (1987), 603-616.
27. Degeneration of mixed Hodge structures. Algebraic Geometry, Proc. of Symposia in Pure Math. 46 (1987), 283-293.
28. (with J. Steenbrink) Polar curves, resolution of singularities, and the filtered mixed Hodge structure on the vanishing cohomology. In: Singularities, Representation of Algebras, and Vector Bundles: Proceedings Lambrecht, 1985. Lecture Notes in Math. 1273 (1987), 178-202.
29. L2-cohomology and intersection homology of locally symmetric varieties, III. In: Hodge Theory: Proceedings Luminy, 1987, Astérisque 179-180 (1989), 245-278.
30. The Cheeger-Simons invariant as a Chern class. In: Algebraic Analysis, Geometry and Number Theory: Proc. JAMI Inaugural Conference, JHU Press, 1989, 397-417.
31. A brief introduction to the L2-cohomology of locally symmetric varieties. Proc. KIT Math. Workshop, 1989, 145-158.
32. L2-cohomology of Shimura varieties. In: Automorphic Forms, Shimura Varieties and L-functions, Academic Press, 1990, vol. II, 377-391.
33. (with Mo. Saito) The kernel spectral sequence of vanishing cycles. Duke Math. J. 61 (1990), 329-339.
34. (with J.-L. Brylinski) An overview of recent advances in Hodge theory. In: W. Barth and R. Narasimhan, eds., Several Complex Variables VI, Encyclopaedia of Math. Sci., vol. 69, Springer-Verlag, 1990, 39-142.
35. (with M.-H. Saito) Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type. Math. Ann. 289 (1991), 1-31.
36. (with L. Saper) An introduction to L2-cohomology. Several Complex Variables and Complex Geometry, Santa Cruz, 1989 Proc. of Symposia in Pure Math. 52 (1991), Part 2, 519-534.
37. L2-cohomology and Satake compactifications. In: J. Noguchi, T. Ohsawa (eds.) Prospects in Complex Geometry: Proceedings, Katata/Kyoto 1989. Springer LNM 1468 (1991), 317-339.
38. (with M.-H. Saito) On the Torelli problem for fiber spaces. Proc Symp. Complex Geometry and Lie Theory, Sundance, Utah, 1989, Proc. of Symposia in Pure Math. 53 (1991), 269-282.
39. Lp-cohomology: Banach spaces and homological methods on Riemannian manifolds. In: Differential Geometry: Geometry in Mathematical Physics and Related Topics, Proc. of Symposia in Pure Math. 54 (1993), 637-655.
40. (with M. Harris) Boundary cohomology of Shimura varieties, I: Coherent cohomology on toroidal compactifications. Ann. Sci. ENS 27 (1994), 249-344.
41. (with M. Harris) Boundary cohomology of Shimura varieties, II: Hodge theory at the boundary. Inventiones Math. 116 (1994; dedicated to A. Borel), 243-308. Erratum, Inventiones Math. 121 (1995), 437.
42. On the boundary cohomology of locally symmetric varieties. Vietnam J. Math. 25(4) (1997), 279-318.
43. (with J. Dupont and R. Hain) Regulators and characteristic classes of flat bundles. In: The Arithmetic and Geometry of Algebraic Cycles, CRM Proceedings & Lecture Notes, vol. 24, 47-92 (2000).
44. (with M. Harris) Boundary cohomology of Shimura varieties, III: Coherent
cohomology on higher-rank boundary strata and applications
to Hodge theory. Mem. Soc. Math. France 85, 2001 (116 pp.).
Preprint on-line
45. On the reductive Borel-Serre compactification:
Lp-cohomology of
arithmetic groups (for large p). Amer. J. Math. 123 (2001),
951-984.
Preprint on-line
46. On the reductive Borel-Serre compactification II: Excentric quotients
and least common modifications. Amer. J. Math. 130 (2008), 859-912.
Preprint on-line
47. On the reductive Borel-Serre compactification III:
Mixed Hodge structures. Asian J. Math. 8 (2004), 881-912
(Volume in memory of Armand Borel).
Preprint on-line
48. Excentric compactifications. Pure and Applied Math. Quarterly 1
(2005), 222-226.
Preprint on-line
49. Bridging the gap between incompatible compactifications of locally
symmetric varieties, 2007.
Preprint on-line
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. . . . . B. Mathematics education:
1. Teaching at the University Level. Notices of the American Mathematical Society 43(8) (1996), 863-865.
2. Teaching freshmen to learn mathematics. In: Krantz, S., How to Teach Mathematics, 2nd ed., Amer. Math. Soc., 1999, 273-284.
3. Telling the truth. Notices of the American Mathematical Society 50(3) (2003), p.325.
4. What's in a name? [course evaluation] Notices of the American Mathematical Society 50(10) (2003), 1223-1224.