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Publications of Richard Hain    :chronological  alphabetical  combined  bibtex listing:

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Books

  1. Benson Farb, Richard Hain, Eduard Looijenga, Moduli Spaces of Riemann Surfaces, IAS/Park City Mathematics Series, edited by Farb, B; Hain, R; Looijenga, E, vol. 20 (2013), pp. x+356 pages, American Mathematical Society, Providence, RI; Institute for Advanced Study (IAS), Princeton, NJ, ISBN 978-0-8218-9887-1 [AMS]
  2. Shiing-Shen Chern, Lei Fu, and Richard M. Hain, Contemporary Trends in Algebraic Geometry and Algebraic Topology, edited by Chern, S-S; Fu, L; Hain, R, vol. 5 (2002), pp. viii+266 pages, World Scientific Publishing Co., Inc., River Edge, NJ, ISBN 981-02-4954-3 [html], [doi]
  3. Carl-Friedrich Bodigheimer and Richard M. Hain (editors), Mapping Class Groups and Moduli Spaces of Riemann Surfaces, edited by Bödigheimer, C-F; Hain, R, vol. 150 (1993), pp. xx+372-xx+372, American Mathematical Society, Providence, RI, ISBN 0-8218-5167-5 [doi]
  4. Hain, RM, Iterated Integrals and Homotopy Periods, vol. 47 (1984), pp. iv-98, American Mathematical Society [0291], [doi]

Papers Published

  1. Cox, D; Esnault, H; Hain, R; Harris, M; Ji, L; Saito, M-H; Saper, L, Remembering Steve Zucker, edited by Cox, D; Harris, M; Ji, L, Notices of the American Mathematical Society, vol. 68 no. 7 (August, 2021), pp. 1156-1172, American Mathematical Society
  2. Hain, R, Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem, Journal of the European Mathematical Society, vol. 23 no. 12 (January, 2021), pp. 3889-3933 [doi]  [abs]
  3. Hain, R, Johnson homomorphisms, EMS Surveys in Mathematical Sciences, vol. 7 no. 1 (January, 2021), pp. 33-116 [doi]  [abs]
  4. Hain, R, Hodge theory of the Goldman bracket, Geometry & Topology, vol. 24 no. 4 (November, 2020), pp. 1841-1906, Mathematical Sciences Publishers [doi]
  5. Hain, R; Matsumoto, M, Universal Mixed Elliptic Motives, Journal of the Institute of Mathematics of Jussieu, vol. 19 no. 3 (May, 2020), pp. 663-766 [arxiv:1512.03975], [doi]  [abs]
  6. Hain, R, Notes on the Universal Elliptic KZB Equation, Pure and Applied Mathematics Quarterly, vol. 12 no. 2 (January, 2020), International Press [arXiv:1309.0580], [1309.0580v3]  [abs]
  7. Hain, R, Notes on the universal elliptic KZB connection, Pure and Applied Mathematics Quarterly, vol. 16 no. 2 (January, 2020), pp. 229-312 [doi]  [abs]
  8. Brown, F; Hain, R, Algebraic de Rham theory for weakly holomorphic modular forms of level one, Algebra and Number Theory, vol. 12 no. 3 (January, 2018), pp. 723-750 [doi]  [abs]
  9. Hain, R, Deligne-Beilinson Cohomology of Affine Groups, in Hodge Theory and $L^2$-analysis, edited by Ji, L (2017), International Press, ISBN 9781571463517 [arXiv:1507.03144]  [abs]
  10. Arapura, D; Dimca, A; Hain, R, On the fundamental groups of normal varieties, Communications in Contemporary Mathematics, vol. 18 no. 4 (August, 2016), pp. 1550065-1550065, ISSN 0219-1997 [doi]  [abs]
  11. Hain, R, The Hodge-de Rham theory of modular groups, in Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles, and Arithmetic, edited by Kerr, M; Pearlstein, G, vol. 427 (February, 2016), pp. 422-514, Cambridge University Press, ISBN 9781107546295 [doi]
  12. Hain, R, Genus 3 mapping class groups are not Kähler, Journal of Topology, vol. 8 no. 1 (March, 2015), pp. 213-246, Wiley, ISSN 1753-8416 [arXiv:1305.2052], [2052], [doi]
  13. Dimca, A; Hain, R; Papadima, S, The abelianization of the Johnson kernel, Journal of the European Mathematical Society, vol. 16 no. 4 (January, 2014), pp. 805-822, ISSN 1435-9855 [arXiv:1101.1392], [1392], [doi]  [abs]
  14. Hain, R, Remarks on non-abelian cohomology of proalgebraic groups, Journal of Algebraic Geometry, vol. 22 no. 3 (June, 2013), pp. 581-598, American Mathematical Society (AMS), ISSN 1056-3911 [arXiv:1009.3662], [S1056-3911-2013-00598-6], [doi]  [abs]
  15. Hain, R, Normal Functions and the Geometry of Moduli Spaces of Curves, in Handbook of Moduli, edited by Farkas, G; Morrison, I, vol. 1 (2013), pp. 527-578, International Press, ISBN 9781571462572 [arXiv:1102.4031]
  16. Hain, R, Rational points of universal curves, Journal of the American Mathematical Society, vol. 24 no. 3 , pp. 709-769, American Mathematical Society (AMS), ISSN 0894-0347 [arXiv:1001.5008], [S0894-0347-2011-00693-0], [doi]
  17. Hain, R, Lectures on Moduli Spaces of Elliptic Curves, in Transformation Groups and Moduli Spaces of Curves: Advanced Lectures in Mathematics, Advanced Lectures in Mathematics, edited by Ji, L; Yau, ST, vol. 16 no. 16 (2010), pp. 95-166, Higher Education Press, Beijing, ISBN 978-7-04-029842-0 [arXiv:0812.1803]
  18. Hain, R; Matsumoto, M, Relative pro-ℓ completions of mapping class groups, Journal of Algebra, vol. 321 no. 11 (June, 2009), pp. 3335-3374, Elsevier BV, ISSN 0021-8693 [arXiv:0802.0806], [014], [doi]
  19. Hain, R, Relative Weight Filtrations on Completions of Mapping Class Groups, in Groups of Diffeomorphisms: Advanced Studies in Pure Mathematics, Advanced Studies in Pure Mathematics, vol. 52 (2008), pp. 309-368, Mathematical Society of Japan [arXiv:0802.0814]
  20. Hain, R, Finiteness and Torelli Spaces, in Problems on Mapping Class Groups and Related Topics, Proc. Symp. Pure Math. 74, edited by Farb, B, vol. 74 (2006), pp. 57-70, Amererican Mathematics Societty, ISBN 9780821838389 [arXiv:math/0508541], [2264131], [doi]
  21. Kim, M; Hain, RM, The Hyodo-Kato theorem for rational homotopy types, Mathematical Research Letters, vol. 12 no. 2-3 (January, 2005), pp. 155-169, ISSN 1073-2780 [arXiv:math/0210281], [repository], [doi]  [abs]
  22. Hain, R; Matsumoto, M, Galois actions on fundamental groups of curves and the cycle, Journal of the Institute of Mathematics of Jussieu, vol. 4 no. 3 (January, 2005), pp. 363-403, Cambridge University Press (CUP): STM Journals, ISSN 1475-3030 [arXiv:math/0306037], [S1474748005000095], [doi]  [abs]
  23. Kim, M; Hain, RM, A De Rham–Witt approach to crystalline rational homotopy theory, Compositio Mathematica, vol. 140 no. 05 (September, 2004), pp. 1245-1276, Wiley, ISSN 0010-437X [arXiv:math/0105008], [repository], [doi]
  24. Hain, R; Reed, D, On the arakelov geometry of moduli spaces of curves, Journal of Differential Geometry, vol. 67 no. 2 (Summer, 2004), pp. 195-228, ISSN 0022-040X [arXiv:math/0211097], [doi]  [abs]
  25. Hain, R; Matsumoto, M, Weighted completion of galois groups and galois actions on the fundamental group of ℙ1 -{0, 1, ∞}, Compositio Mathematica, vol. 139 no. 2 (November, 2003), pp. 119-167, ISSN 0010-437X [arXiv:math/0006158], [doi]  [abs]
  26. Hain, R, Periods of Limit Mixed Hodge Structures, in CDM 2002: Current Developments in Mathematics in Honor of Wilfried Schmid & George Lusztig, edited by Jerison, D; Lustig, G; Mazur, B; Mrowka, T; Schmid, W; Stanley, R; Yau, ST (2003), pp. 113-133, International Press [arXiv:math/0305090]
  27. Hain, R; Matsumoto, M, Tannakian Fundamental Groups Associated to Galois Groups, in Galois Groups and Fundamental Groups, edited by Schneps, L, vol. 41 (2003), pp. 183-216, Cambridge Univ. Press [arXiv:math/0010210]
  28. Hain, R; Tondeur, P, The Life and Work of Kuo-Tsai Chen [ MR1046561 (91b:01072)], in Contemporary trends in algebraic geometry and algebraic topology (Tianjin, 2000), vol. 5 (2002), pp. 251-266, World Sci. Publ., River Edge, NJ, ISBN 9789810249540 [9789812777416_0012], [doi]
  29. Hain, R, Iterated Integrals and Algebraic Cycles: Examples and Prospects, in Contemporary Tends in Algebraic Geometry and Algebraic Topology, vol. 5 (2002), pp. 55-118, World Scientific Publishing, ISBN 9789810249540 [arXiv:math/0109204], [9789812777416_0004], [doi]
  30. Hain, R, The rational cohomology ring of the moduli space of abelian 3-folds, Mathematical Research Letters, vol. 9 no. 4 (2002), pp. 473-491 [arXiv:math/0203057], [doi]
  31. Hain, R; Reed, D, Geometric proofs of some results of Morita, Journal of Algebraic Geometry, vol. 10 no. 2 (2001), pp. 199-217 [arXiv:math/9810054]
  32. Dupont, J; Hain, R; Zucker, S, Regulators and Characteristic Classes of Flat Bundles, in The arithmetic and geometry of algebraic cycles (Banff, AB, 1998), vol. 24 (2000), pp. 47-92, American Mathematical Society [arXiv:alg-geom/9202023]
  33. Hain, R, Moduli of Riemann Surfaces, Transcendental Aspects, Moduli Spaces, in ALgebraic Geometry, edited by Gottsche, L, vol. 1 (2000), pp. 293-353, Abdus Salam Int. Cent. Theoret. Phys., ISBN 92-95003-00-4
  34. Hain, R, Locally Symmetric Families of Curves and Jacobians, in Moduli of Curves and Abelian Varieties, edited by Faber, C; Looijenga, E (1999), pp. 91-108, Friedr. Vieweg [arXiv:math/9803028]
  35. Hain, RM, The Hodge De Rham theory of relative Malcev completion, Annales Scientifiques de l'Ecole Normale Superieure, vol. 31 no. 1 (1998), pp. 47-92 [pdf], [doi]  [abs]
  36. Freedman, M; Hain, R; Teichner, P, Betti Number Estimates for Nilpotent Groups, in Fields Medallists’ Lectures, edited by Atiyah, ; Iagolnitzer,, vol. 5 (1997), pp. 413-434, World Science, ISBN 9789810231026 [9789812385215_0045], [doi]
  37. Hain, R; Looijenga, E, Mapping Class Groups and Moduli Spaces of Curves, in Algebraic geometry—Santa Cruz 1995, vol. 62 (1997), pp. 97-142, American Mathematical Society [arXiv:alg-geom/9607004]
  38. Hain, R, Infinitesimal presentations of the Torelli groups, Journal of the American Mathematical Society, vol. 10 no. 3 (1997), pp. 597-651 [available here], [doi]
  39. Hain, RM, The existence of higher logarithms, Compositio Mathematica, vol. 100 no. 3 (1996), pp. 247-276, ISSN 0010-437X [alg-geom/9308005]  [abs]
  40. Hain, RM; Yang, J, Real Grassmann polylogarithms and Chern classes, Mathematische Annalen, vol. 304 no. 1 (1996), pp. 157-201 [alg-geom/9407010], [doi]
  41. Elizondo, EJ; Hain, RM, Chow varieties of abelian varieties, Sociedad Matemática Mexicana. Boletí n. Tercera Serie, vol. 2 no. 2 (1996), pp. 95-99  [abs]
  42. Hain, RM, Torelli Groups and Geometry of Moduli Spaces of Curves, in Current Topics in Complex Algebraic Geometry, edited by Clements, CH; Kollar, J, vol. 28 (1995), pp. 97-143, Cambridge Univ. Press [available here]
  43. Hain, RM, Classical Polylogarithms, Motives, in Motives (Seattle, WA, 1991), vol. 55 (1994), pp. 3-42, American Mathematical Society
  44. Hain, RM, Completions of Mapping Class Groups and the Cycle C-C, in Mapping class groups and moduli spaces of Riemann surfaces (Göttingen, 1991/Seattle, WA, 1991), vol. 150 (1993), pp. 75-105, American Mathematical Society, ISSN 0271-4132 [01287], [doi]
  45. Hain, RM, Nil-manifolds as links of isolated singularities, Compositio Mathematica, vol. 84 no. 1 (1992), pp. 91-99, KLUWER ACADEMIC PUBL, ISSN 0010-437X [Gateway.cgi]
  46. Hain, RM, Algebraic Cycles and Variations of Mixed Hodge Structure, Complex Geometry and Lie Theory, in Complex geometry and Lie theory (Sundance, UT, 1989), vol. 53 (1991), pp. 175-221, American Mathematical Society, ISBN 9780821814925 [1141202], [doi]
  47. Hain, RM; MacPherson, R, Introduction to Higher Logarithms, in Properties of Polylogarithms, edited by Lewin, L, vol. 37 (1991), pp. 337-353, American Mathematical Societ, ISBN 9780821816349 [15], [doi]
  48. Hain, RM; MacPherson, R, Higher Logarithms, Illinois Journal of Mathematics, vol. 34 no. 2 (1990), pp. 392-475, ISSN 0019-2082 [1255988272], [doi]
  49. Hain, R; Tondeur, P, The Life and Work of Kuo Tsai Chen, Illinois Journal of Mathematics, vol. 34 no. 2 (1990), pp. 175-190, Duke University Press, ISSN 0019-2082 [1255988263], [doi]
  50. Hain, R, Biextensions and heights associated to curves of odd genus, Duke Mathematical Journal, vol. 61 no. 3 (1990), pp. 859-898, ISSN 0012-7094 [doi]
  51. Durfee, AH; Hain, RM, Mixed Hodge Structures on the Homotopy of Links, Mathematische Annalen, vol. 280 (1988), pp. 69-83, ISSN 0025-5831 [BF01474182], [doi]
  52. Hain, RM; Zucker, S, A Guide to Unipotent Variations of Mixed Hodge Structure, Proceedings of the U.S. Spain Workshop, vol. 1246 (1987), pp. 92-106, Springer-Verlag [BFb0077532], [doi]
  53. Hain, RM, Higher Albanese Manifolds, Proceedings of the U.S. Spain Workshop, vol. 1246 (1987), pp. 84-91, Springer-Verlag [BFb0077531], [doi]
  54. Hain, RM, Iterated Integrals and Mixed Hodge Structures on Homotopy Groups, Proceedings of the U.S. Spain Workshop, vol. 1246 (1987), pp. 75-83, Springer-Verlag [BFb0077530], [doi]
  55. Hain, RM, The Geometry of the Mixed Hodge Structure on the Fundamental Group, in Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), vol. 46 (1987), pp. 247-282, American Mathematical Society
  56. Hain, RM; Zucker, S, Truncations of Mixed Hodge Complexes, Proceedings of the U.S. Spain Workshop, vol. 1246 (1987), pp. 107-114, Spring-Verlag [BFb0077533], [doi]
  57. Carlson, JA; Hain, RM, Extensions of Variations of Mixed Hodge Structure (1987), pp. 39-65, Theorie de Hodge
  58. Hain, RM; Zucker, S, Unipotent variations of mixed Hodge structure, Inventiones Mathematicae, vol. 88 no. 1 (1987), pp. 83-124, ISSN 0020-9910 [doi]
  59. Hain, RM, The de rham homotopy theory of complex algebraic varieties I, K-Theory, vol. 1 no. 3 (1987), pp. 271-324, ISSN 0920-3036 [doi]  [abs]
  60. Hain, RM, The de Rham homotopy theory of complex algebraic varieties. II, $K$-Theory. An Interdisciplinary Journal for the Development, Application, and Influence of $K$-Theory in the Mathematical Sciences, vol. 1 no. 5 (1987), pp. 481-497, ISSN 0920-3036 [doi]  [abs]
  61. HAIN, RM, CORRECTION, TOPOLOGY, vol. 25 no. 4 (1986), pp. 585-586, ISSN 0040-9383 [0040-9383(86)90034-0], [doi]
  62. Hain, RM, Mixed Hodge structures on homotopy groups, American Mathematical Society. Bulletin. New Series, vol. 14 no. 1 (1986), pp. 111-114, American Mathematical Society (AMS), ISSN 0273-0979 [doi]
  63. Hain, RM, On the Indecomposable Elements of the Bar Construction, Proceedings of the American Mathematical Society, vol. 98 no. 2 (1986), pp. 312-316, JSTOR, ISSN 0002-9939 [2045704], [doi]  [abs]
  64. Hain, RM, On a Generalization of Hilbert’s 21st Problem, Annales Scientifiques de l’École Normale Supérieure. Quatrième Série, vol. 19 no. 4 (1986), pp. 609-627, Societe Mathematique de France, ISSN 0012-9593 [item], [doi]
  65. Hain, RM, Iterated integrals, intersection theory and link groups, Topology. An International Journal of Mathematics, vol. 24 no. 1 (1985), pp. 45-66, ISSN 0040-9383 [doi]
  66. HAIN, RM, ITERATED INTEGRALS AND HOMOTOPY PERIODS, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 47 no. 291 (January, 1984), pp. 1-98, AMER MATHEMATICAL SOC
  67. Duchamp, T; Hain, RM, Primitive Elements in Rings of Holomorphic Functions, Journal für die Reine und Angewandte Mathematik. [Crelle’s Journal], vol. 346 no. 346 (1984), pp. 199-220, WALTER DE GRUYTER GMBH, ISSN 0075-4102 [199], [doi]
  68. Hain, RM, Twisting Cochains and Duality Between Minimal Algebras and Minimal Lie Algebras, Transactions of the American Mathematical Society, vol. 277 no. 1 (1983), pp. 397-411, JSTOR, ISSN 0002-9947 [1999363], [doi]
  69. Hain, RM, Iterated Integrals, Minimal Models and Rational Homotopy Theory (1980)
  70. Hain, RM, A characterization of smooth functions defined on a Banach space, Proceedings of the American Mathematical Society, vol. 77 no. 1 (1979), pp. 63-67, American Mathematical Society (AMS), ISSN 0002-9939 [2042717], [doi]  [abs]
  71. Eades, P; Hain, RM, On Circulant Weighing Matrices, Ars Combinatoria, vol. 2 (1976), pp. 265-284, ISSN 0381-7032
  72. Richard M. Hain, Moduli of Riemann Surfaces, Transcendental Aspects, Moduli Spaces in Algebraic Geometry, ICTP Lecture Notes 1, L. Gottsche editor, 2000, 293--353 [arXiv:math/0003144]
  73. Richard M. Hain, Classical Polylogarithms, Motives, Proc. Symp. Pure Math. 55 part 2 (1994), 3--42
  74. Richard M. Hain, Algebraic cycles and variations of mixed Hodge structure, Complex Geometry and Lie Theory, Proc. Symp. Pure Math, 53, (1991), 175--221
  75. Richard M. Hain, The de Rham homotopy theory of complex algebraic varieties I, Journal of K-Theory 1 (1987), 271--324 [pdf]
  76. Richard M. Hain, The de Rham homotopy theory of complex algebraic varieties II, Journal of K-Theory 1 (1987), 481--497 [pdf]
  77. Peter Eades and Richard M. Hain, On circulant weighting matrices, Ars Combinatoria, 2 (1976), 265--284

Other

  1. R.M. Hain, The de Rham homotopy theory of complex algebraic varieties (unpublished version) (Spring, 1984) [pdf]  [author's comments]

 

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