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Publications of Richard M Hain     :recent first  combined  bibtex listing:

Books

  1. Richard M. Hain, Iterated integrals and homotopy periods, Mem. Amer. Math. Soc. 291 (1984)
  2. Richard M. Hain and Philippe Tondeur (editors), Chen Memorial Volume, Illinois Journal of Mathematics, volume 34, 1990.
  3. Carl-Friedrich Bodigheimer and Richard M. Hain (editors), Mapping Class Groups and Moduli Spaces of Riemann Surfaces, Contemp. Math. 150, American Mathematical Society, 1993.
  4. Shiing-Shen Chern, Lei Fu, and Richard M. Hain, Contemporary Trends in Algebraic Geometry and Algebraic Topology, Nankai Tracts in Mathematics - Vol. 5 , World Scientific, Singapore, 2002 [html]

Papers Published

  1. Peter Eades and Richard M. Hain, On circulant weighting matrices, Ars Combinatoria, 2 (1976), 265--284
  2. Richard M. Hain, A characterization of smooth functions defined on a Banach Space, Proc. Amer. Math. Soc. 77 (1979), 63--67
  3. Richard M. Hain, Iterated Integrals, Minimal Models and Rational Homotopy Theory, Ph.D. thesis, University of Illinois, 1980
  4. Richard M. Hain, Twisting cochains and duality between minimal algebras and minimal Lie algebras, Trans. Amer. Math. Soc. 277 (1983), 397--411
  5. Richard M. Hain, Iterated integrals, intersection theory and link groups, Topology 24 (1985), 45--66, Erratum, Topology 25 (1986), 585--586
  6. Richard M. Hain, On a generalization of Hilbert's 21st problem, Ann. Sci. Ecole Norm. Sup., t. 19 (1986), 609--627
  7. Richard M. Hain, On the indecomposable elements of the bar construction, Proc. Amer. Math . Soc. 98 (1986), 312--316
  8. Richard M. Hain, Mixed Hodge structures on homotopy groups, Bull. Amer. Math. Soc. 14 (1986), 111--114
  9. Richard M. Hain, The de Rham homotopy theory of complex algebraic varieties I, Journal of K-Theory 1 (1987), 271--324
  10. Richard M. Hain, The de Rham homotopy theory of complex algebraic varieties II, Journal of K-Theory 1 (1987), 481--497
  11. Richard M. Hain and Steven Zucker, Truncations of mixed Hodge complexes, Hodge Theory (Proceedings of the U.S. Spain Workshop, Sant Cugat, Spain, 1985), LNM 1246, Springer-Verlag, 1987
  12. Richard M. Hain and Steven Zucker, Unipotent variations of mixed Hodge structure, Invent. Math. 88 (1987), 83--124
  13. Richard M. Hain, The geometry of the mixed Hodge structure on the fundamental group, Algebraic Geometry, 1985, Proc. Symp. Pure Math. 46 (1987), 247--282
  14. Richard M. Hain, Iterated integrals and mixed Hodge structures on homotopy groups, Hodge Theory (Proceedings of the U.S. Spain Workshop, Sant Cugat, Spain, 1985), LNM 1246, Springer-Verlag, 1987
  15. Richard M. Hain, Higher Albanese manifolds, Hodge Theory (Proceedings of the U.S. Spain Workshop, Sant Cugat, Spain, 1985), LNM 1246, Springer-Verlag, 1987
  16. Richard M. Hain and Steven Zucker, A Guide to unipotent variations of mixed Hodge structure, Hodge Theory (Proceedings of the U.S. Spain Workshop, Sant Cugat, Spain, 1985), LNM 1246, Springer-Verlag, 1987
  17. Alan Durfee and Richard M. Hain, Mixed Hodge structures on the homotopy of links, Math. Ann. 280 (1988), 69--83
  18. James Carlson and Richard M. Hain, Extensions of Variations of Mixed Hodge Structure, Theorie de Hodge, Luminy, Juin, 1987, Asterisque no. 179--180, 39--65
  19. Richard M. Hain, Biextensions and heights associated to curves of odd genus, Duke Math. Journal 61 (1990), 859--898
  20. Richard M. Hain and Philipe Tondeur, The life and work of Kuo-Tsai Chen, Illinois J. Math. 34 (1990), 175--190
  21. Richard M. Hain and Robert MacPherson, Higher logarithms, Illinois J. Math. 34 (1990), 392--475
  22. Richard M. Hain and Robert MacPherson, Introduction to higher logarithms, chapter in book: editor, L. Lewin, Properties of Polylogarithms, Mathematical Surveys and Monographs, Amer. Math. Soc., vol. 37, 1991, pp. 337--353
  23. Richard M. Hain, Algebraic cycles and variations of mixed Hodge structure, Complex Geometry and Lie Theory, Proc. Symp. Pure Math, 53, (1991), 175--221
  24. Richard M. Hain, Nil-manifolds as links of isolated singularities, Compositio Math. 84 (1992), 91--99
  25. Richard M. Hain, Completions of mapping class groups and the cycle C - C-, Comtemporary Math. 150 (1993), 75--105
  26. Richard M. Hain, Classical Polylogarithms, Motives, Proc. Symp. Pure Math. 55 part 2 (1994), 3--42
  27. Richard M. Hain, Torelli groups and Geometry of Moduli Spaces of Curves, Current Topics in Complex Algebraic Geometry (C. H. Clemens and J. Kollar, eds.) MSRI publications no. 28, Cambridge University Press, 1995, 97--143. [available here]
  28. Richard M. Hain, The existence of higher logarithms, Compositio Math. 100 (1996), 247--27 [alg-geom/9308005]
  29. Richard M. Hain, Jun Yang, Real Grassmann polylogarithms and Chern classes, Math. Ann. 304 (1996), 157--201. [alg-geom/9407010]
  30. Javier Elizondo, Richard M. Hain, Chow varieties of abelian varieties, Boletin de La Sociedad Matematica Mexicana, 2 (1996), 95--99.
  31. Michael Freedman, Richard M. Hain, Peter Teichner, Betti number estimates for nilpotent groups, Fields Medalists' Lectures, edited by Atiyah & Iagolnitzer, World Scientific Series in 20th Century Mathematics - Vol. 5, 1997, 413-434. [available here]
  32. Richard M. Hain, Infinitesimal presentations of Torelli groups, J. Amer. Math. Soc. 10 (1997), pp. 597-651. [available here]
  33. Richard M. Hain, Eduard Looijenga, Mapping class groups and moduli spaces of curves, Algebraic Geometry, Santa Cruz, Proc. Symp. Pure Math. 62 (1997), part II, 97-142. [available here]
  34. Richard M. Hain, The Hodge-de Rham theory of relative Malcev completion, Ann. Sci. Ecole Norm. Sup. (4) 31 (1998), no. 1, 47--92. [pdf]
  35. Richard M. Hain, Locally symmetric familes of curves and jacobians, Moduli of Curves and Abelian Varieties, Carel Faber and Eduard Looijenga, editors, Aspects of Mathematics, Vieweg, Wiesbaden 1999, 91--108 [math.AG/9803028]
  36. Johan Dupont, Richard M. Hain, Steven Zucker, Regulators and characteristic classes of flat bundles, The Arithmetic and Geometry of Algebraic Cycles, CRM Proceedings and Lecture Notes 24 (2000), 47-92 [math.AG/9202023]
  37. Richard M. Hain, Moduli of Riemann Surfaces, Transcendental Aspects, Moduli Spaces in Algebraic Geometry, ICTP Lecture Notes 1, L. Gottsche editor, 2000, 293--353 [math.AG/0003144]
  38. Richard M. Hain, David Reed, Geometric proofs of some results of Morita, J. Algebraic Geom. 10 (2001), 199-217. [math.AG/9810054]
  39. Richard M. Hain, The rational cohomology ring of the moduli space of abelian 3-folds, Math. Research Letters 9 (2002), 473-491 [math.AG/0203057]
  40. Richard M. Hain, Iterated Integrals and Algebraic Cycles: Examples and Prospects, Contemporary Trends in Algebraic Geometry and Algebraic Topology , Nankai Tracts in Mathematics, vol. 5, World Scientific, 2002 [math.AG/0109204]
  41. Thomas Duchamp and Richard M. Hain, Primitive elements in rings of holomorphic functions, J. Reine Angewandte Math., vol. 346 (1983), pp. 1999-220
  42. Richard M. Hain, Makoto Matsumoto, Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P1 - {0,1,infty}, Compositio Math., vol. 139 no. 2 (2003), pp. 119-167 [math.AG/0006158]
  43. Richard M. Hain, Periods of Limit Mixed Hodge Structures, in CDM 2002: Current Developments in Mathematics in Honor of Wilfried Schmid & George Lusztig, edited by David Jerison, George Lustig, Barry Mazur, Tom Mrowka, Wilfried Schmid, Richard Stanley & S.-T. Yau (2003), International Press [math.AG/0305090]
  44. Richard M. Hain, Makoto Matsumoto, Tannakian fundamental groups associated to Galois groups, Galois groups and Fundamental Groups, Leila Schneps (editor), MSRI Publications, vol. 41 (2003), pp. 183-216, Cambridge University Press [math.AG/0010210]
  45. Minhyong Kim, Richard M. Hain, A De Rham-Witt approach to crystalline rational homotopy theory, Compositio Math., vol. 140 (2004), pp. 1245-1276 [math.AG/0105008]
  46. Richard M. Hain, David Reed, On the Arakelov Geometry of Moduli Spaces of Curves, J. Differential Geom., vol. 67 (2004), pp. 195-228 [math.AG/0211097]
  47. Richard M. Hain and Makoto Matsumoto, Galois actions on fundamental groups of curves and the cycle C-C-, J. Inst. Math. Jussieu, vol. 4 (2005), pp. 363-403 [math.NT/0306037]
  48. Minhyong Kim, Richard M. Hain, The Hyodo-Kato isomorphism for rational homotopy types, Math. Res. Lett., vol. 12 (2005), pp. 155-169 [math.NT/0210281]
  49. Richard Hain, Finiteness and Torelli Spaces, in Problems on Mapping Class Groups and Related Topics, Proc. Symp. Pure Math. 74, edited by Benson Farb (September, 2006), pp. 57-70, American Mathematical Society [math.GT/0508541]
  50. Richard Hain, Relative weight filtrations on completions of mapping class groups, in Groups of Diffeomorphisms, Advanced Studies in Pure Mathematics, vol. 52 (May, 2008), pp. 309--368, Mathematical Society of Japan [arXiv:0802.0814]
  51. Richard Hain, Makoto Matsumoto, Relative pro-l completions of mapping class groups, J. Algebra, vol. 321 (2009), pp. 3335-3374 [arXiv:0802.0806]

Papers Accepted

  1. Richard Hain, Lectures on Moduli Spaces of Elliptic Curves, Advanced Lectures in Mathematics (2008), International Press, Boston [arXiv:0812.1803]

 

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