Curriculum Vitae

Richard M Hain

107 Physics Bldg
Duke University, Box 90320
Durham, NC 27708-0320 		(919) 660-2819, (919) 660-2800 (office)
(email)
Education

Ph.D.University of Illinois, Urbana-Champaign1980
M.Sc.Australian National University1977
B.Sc.(Hons)University of Sydney1976
Areas of Research

Topology of Algebraic Varieties, Hodge Theory, and Moduli of Curves

Professional Experience / Employment History

Duke University
Chair, Mathematics, 2004-2006
Chair, Mathematics, 1999-2002
Professor, Mathematics, 1991-present
University of Washington
Professor, Mathematics, 1990-92
Associate Professor, Mathematics, 1987-90
Assistant Professor, Mathematics, 1985-87
Acting Assistant Professor, Mathematics, 1980-83
SUNY, Buffalo
Assistant Professor, Mathematics, 1984-85
Visiting Positions
Professeur Invité, Université de Nice, May, 2009
Member, Mathematical Sciences Research Institute, February - March, 2009
Visiting Professor, Sydney University, October - December, 2008
Professeur Invité, Université de Nice, May-June, 2003
University of Sydney, February-March, 2003
Harvard University, September-November, 2002
Visiting Professor, Universität Essen, Germany, April-June 1995
Member, Institut des Hautes Études Scientifiques, France, February-April 1995
Professeur Invité, Institut Henri Poincaré, Paris, February-April 1995
Member, Institute for Advanced Study, Princeton, Fall semester, 1994
Visiting Professor, University of Sydney, Australia, September, 1993
Visiting Professor, University of Utrecht, The Netherlands, May, 1992
Visiting Professor, Aarhus University, Denmark, July, 1991
Visiting Professor, Duke University, September-December 1990
Member, Institut des Hautes Études Scientifiques, France, September, 1989
Max-Planck Institut für Mathematik, Bonn, October-December 1987
Member, Institut des Hautes Études Scientifiques, France, July-September, 1987
Member, Institute for Advanced Study, Princeton, 1985-86
Visiting Assistant Professor, University of Utah, 1983-84
Awards, Honors, and Distinctions

Fellowship, Japan Society for the Promotion of Science, May, 1998
Frontiers in Mathematics Lectures, Texas A&M University, March, 1997
Research Fellowship, American Mathematical Society, 1987-88
Postgraduate Travelling Scholarship, University of Sydney, 1978-1980
University Medal, Pure Mathematics, University of Sydney, April, 1976
Recent Grant Support

Conferences Organized

(with Jonathan Wahl) The Third Duke Mathemtical Journal Conference, April 23-25, 2004  
(with Jonathan Wahl) The Second Duke Mathematical Journal Conference, April 27-29, 2001  
(with Jonathan Wahl) The Duke Math. Journal Conference, May 1-2, 1998  
Torellifest, a conference at Duke, March, 1996  
Mapping Class Groups and Moduli Spaces of Curves, Seattle, August 1991  
Professional Service

Director, IAS Park City Mathematics Institute, September 1, 2009 - present  
Member, Council of the American Mathematical Society, February, 2010 - January, 2012  
American Mathematical Society: Advisory Board for Employment Committee, February, 2009 - January, 2011  
AMS committee to select speakers for national meetings (chair in 2005-06), 2003 - 2006  
AMS Nominating Committee, 2003-2005  
Committee to choose the Joint AMS-MAA speakers for January 2005 meeting, 2004 - 2005  
Alumni Visiting Committee, University of Illinois, Urbana-Champaign, October, 2003  
AMS Southeastern Section Program Committee (Chair in 2000-2001), 1999 - 2001  
Director of Graduate Studies, Mathematics, Duke University, 1993-94 and 1995-96  
AMS Centennial Fellowship Committee, 1991 - 1993  
Selected Recent Invited Talks

On the section conjecture for universal curves over function fields, Newton Institute, Cambridge, UK, July 29, 2009  
On the Section Conjecture for universal curves over function fields, Number Theory Seminar, Tokyo University, June 24, 2009  
On the Section Conjecture for universal curves over function fields, Number Theory Seminar, Hiroshima University, June 19, 2009  
Hodge and Galois theory of fundamental groups of algebraic varieties, (2 talks) Fundamental Groups in Algebraic Geometry, Université de Nice, May 25 and 26, 2009  
Groupes de Teichmüller et espaces de modules de courbes, Séminaire Passe-partout, Université de Nice, May 20, 2009  
Elliptic curves and multiple zeta numbers, UNSW-Sydney joint Colloquium, University of New South Wales, Australia, November 14, 2008  
Elliptic curves and multiple zeta numbers, Colloquium, University of Michigan, Ann Arbor, September 23, 2008  
An introduction to moduli of curves through elliptic curves (4 lectures), Zhejiang University, Hangzhou, China, July, 2008  
Elliptic motives and multiple zeta values, Séminaire de géométrie algébrique Rennes-Nantes-Paris, Institut des Hautes Etudes Scientifiques, Paris, April 3, 2008  
Hyperelliptic Torelli groups, Max-Planck Institut, Bonn, Germany, January 9, 2008  
Modular forms and derivations of the free Lie algebra of rank 2, Geometry and Lie Theory Conference, University of Sydney, Australia, July 12, 2007  
Elliptic motives, Hodge Theory, Kaehler Manifolds, and Homogeneous Spaces, University of Utah, May 26, 2007  
Universal Teichmuller and elliptic motives, Motives, Related Topics, Applications, Hiroshima University, Japan, March 08, 2007  
Higher Albanese manifolds, Banff International Research Station, February, 2007  
Hyperelliptic Motives, 2005 Summer Research Institute in Algebraic Geometry, University of Washington, Seattle, August 12, 2005  
Algebraic cycles and cohomology of hyperelliptic mapping class groups, Geometry Seminar, Université de Nice, May 25, 2005  
An introduction to Chen's Iterated Integrals, K.-T. Chen Celebration, University of Illinois, April 14, 2005  
Iterated integrals, Hodge theory, and fundamental groups, Arizona Winter School 2005, Alburqueque, NM, March 12-16, 2005  
On the symplectic cohomology of hyperelliptic mapping class groups, International Research Institute on Moduli Spaces and Arithmetic Geometry, Kyoto University, September 8--15, 2004  
Cohomology of mapping class groups and the geometry and arithmetic of curves, Colloquium, University of Toronto, March 25, 2004  
Cycle classes associated to familes of degree 0 divisors on curves, Geometry seminar, Stanford, February 17, 2004  
Torelli Groups and Enumerative Geometry of Moduli of Curves Parts I and II, Geometry Lectures, University of Chicago, December 5 and 8, 2003  
The symplectic cohomology of the genus 2 mapping class groups, Geometry seminar, University of Chicago, November 6, 2003  
Le cycle algébrique Cx - Cx- dans la jacobienne de C et l'action des groupes de Galois sur &pi1(C,x), Séminaire Géométrie algébrique, Université de Nice, June, 2003  
Galois actions on fundamental groups of curves and the cycle C-C-, Journée Groupes Fondamentaux et Polylogs, Université Paris VI, June 19, 2003  
Intégrales itérées et le théorème de de Rham pour le groupe fondamental, Séminaire Passe-Partout, Université de Nice, June 18, 2003  
Galois actions on fundamental groups of curves and the cycle C - C-, Cortona, Italy, June, 2003  
Some geometry and arithmetic of hyperelliptic mapping class groups, Topology Seminar, Tokyo University, December 10, 2002  
Periods of limit mixed Hodge structures, Current Developments in Mathematics Conference, Harvard-MIT, November 16, 2002  
Galois actions on fundamental groups of curves and the cycle C-C-, Number Theory Seminar, Harvard, November 6, 2002  
Galois actions on fundamental groups of curves and the cycle C-C-, Geometry Seminar, Brown University, October 30, 2002  
The cycle C-C-, positivity of normal functions and Moriwaki's inequality , Harvard-MIT Algebraic Geometry Seminar, October 15, 2002  
The rational cohomology ring of the moduli space of principally polarized abelian 3-folds, Topology Seminar, MIT,, September 30, 2002  
Iterated Integrals and Motives, Workshop on Non-Abelian Hodge Theory, MSRI, April 1, 2002  
The rational cohomology of Sp3(Z), Workshop on the Topology of Moduli Spaces, Stanford University, August 16, 2001  
Differential forms and combinatorial group theory, Colloquium, Australian National University, June 28, 2001  
A Hodge analogue of the Galois Lie algebra, Workshop on Hodge theory, Galois theory, moduli and arithmetic geometry, Kyoto University, May 21-24, 2001  
The story of C-C-, Colloquium, University of Chicago, 13 April 2001  
Constructions of Natural Teichmuller Modular Forms, JAMI Conference, Johns Hopkins University, March 24, 2001  
The story of C - C-, Colloquium, University of Arizona, March 22, 2001  
Chen's iterated integrals: key examples and future directions, Nankai University, Tianjin, China, October 9, 2000  
On the action of the absolute Galois group on the fundamental group of the thrice punctured projective line, Aspects of Algebraic Geometry and Commutative Algebra, Texas A&M, May 18-20, 2000, 18 May 2000  
Relative completion of arithmetic mapping class groups, Galois Actions and Geometry Workshop, MSRI, Berkeley, CA., 14 October 1999  
Moduli spaces of curves: transcendental and Hodge theoretic aspects (4 lecutres), ICTP, Trieste, Italy, July and August, 1999  
Moriwaki's Inequality and Generalizations, Midwest Algebraic Geometry Conference, Northwestern University, 31 October 1998  
On the Arakelov geometry of moduli spaces of curves, ICM Satellite Conference: Algebraic and Arithmetic Geometry, Essen, Germany, 4 August 1998  
Colloquium, RIMS, Kyoto University, 24 May 1998  
Colloquium, Tokyo Metropolitan University, 20 May 1998  
Topology Seminar, Tokyo University, 16 May 1998  
Moduli Workshop, Tokyo University, 14 May 1998  
Brandeis-Harvard-MIT-Northeastern Colloquium, Northeastern University, 10 March 1998  
Algebra seminar, Princeton University, 12 February 1998  
Special Seminar, University of Chicago, 11 November 1997  
Howard Garland's 60th Birthday Conference, Yale University, 1 November 1997  
AMS Invited Hour Address, Memphis, TN, 22 March 1997  
Frontiers in Mathematics Lectures, Texas A&M University, March, 1997  
Doctoral Theses Directed

Joseph A. Spivey, Twisted cohomology of hyperelliptic mapping class groups, (2008)  
Anthony J. Narkawicz, Cohomology jumping loci and the relative Malcev completion, (2007)  
Kevin Knudson, The Homology of Linear Groups over Laurent Polynomial Rings, (1996)  
Alexandre Kabanov, The Second Homology of the Moduli Space of Riemann Surfaces with Twisted Coefficents, (1995)  
Vincent Moulton, Vector Braids, (1994)  
Jun Yang, Algebraic K-groups of Number Fields and the Hain-MacPherson Trilogarithm, (1991)  
Dale Lear, Extensions of normal functions and asymptotics of the height pairing, (1990)  

Publications

Books

  1. 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
  2. Carl-Friedrich Bodigheimer and Richard M. Hain (editors), Mapping Class Groups and Moduli Spaces of Riemann Surfaces, Contemp. Math. 150, American Mathematical Society, 1993.
  3. Richard M. Hain and Philippe Tondeur (editors), Chen Memorial Volume, Illinois Journal of Mathematics, volume 34, 1990.
  4. Richard M. Hain, Iterated integrals and homotopy periods, Mem. Amer. Math. Soc. 291 (1984)

Papers Published

  1. Richard Hain, Makoto Matsumoto, Relative pro-l completions of mapping class groups, J. Algebra, vol. 321 (2009), pp. 3335-3374
  2. 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
  3. 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
  4. 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
  5. Minhyong Kim, Richard M. Hain, The Hyodo-Kato isomorphism for rational homotopy types, Math. Res. Lett., vol. 12 (2005), pp. 155-169
  6. Richard M. Hain, David Reed, On the Arakelov Geometry of Moduli Spaces of Curves, J. Differential Geom., vol. 67 (2004), pp. 195-228
  7. Minhyong Kim, Richard M. Hain, A De Rham-Witt approach to crystalline rational homotopy theory, Compositio Math., vol. 140 (2004), pp. 1245-1276
  8. 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
  9. 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
  10. 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
  11. Thomas Duchamp and Richard M. Hain, Primitive elements in rings of holomorphic functions, J. Reine Angewandte Math., vol. 346 (1983), pp. 1999-220
  12. Richard M. Hain, The rational cohomology ring of the moduli space of abelian 3-folds, Math. Research Letters 9 (2002), 473-491
  13. 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
  14. Richard M. Hain, David Reed, Geometric proofs of some results of Morita, J. Algebraic Geom. 10 (2001), 199-217.
  15. Richard M. Hain, Moduli of Riemann Surfaces, Transcendental Aspects, Moduli Spaces in Algebraic Geometry, ICTP Lecture Notes 1, L. Gottsche editor, 2000, 293--353
  16. 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
  17. 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
  18. Richard M. Hain, The Hodge-de Rham theory of relative Malcev completion, Ann. Sci. Ecole Norm. Sup. (4) 31 (1998), no. 1, 47--92.
  19. 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.
  20. Richard M. Hain, Infinitesimal presentations of Torelli groups, J. Amer. Math. Soc. 10 (1997), pp. 597-651.
  21. 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.
  22. Richard M. Hain, The existence of higher logarithms, Compositio Math. 100 (1996), 247--27
  23. Richard M. Hain, Jun Yang, Real Grassmann polylogarithms and Chern classes, Math. Ann. 304 (1996), 157--201.
  24. Javier Elizondo, Richard M. Hain, Chow varieties of abelian varieties, Boletin de La Sociedad Matematica Mexicana, 2 (1996), 95--99.
  25. 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.
  26. Richard M. Hain, Classical Polylogarithms, Motives, Proc. Symp. Pure Math. 55 part 2 (1994), 3--42
  27. Richard M. Hain, Completions of mapping class groups and the cycle C - C-, Comtemporary Math. 150 (1993), 75--105
  28. Richard M. Hain, Nil-manifolds as links of isolated singularities, Compositio Math. 84 (1992), 91--99
  29. 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
  30. Richard M. Hain, Algebraic cycles and variations of mixed Hodge structure, Complex Geometry and Lie Theory, Proc. Symp. Pure Math, 53, (1991), 175--221
  31. Richard M. Hain, Biextensions and heights associated to curves of odd genus, Duke Math. Journal 61 (1990), 859--898
  32. Richard M. Hain and Philipe Tondeur, The life and work of Kuo-Tsai Chen, Illinois J. Math. 34 (1990), 175--190
  33. Richard M. Hain and Robert MacPherson, Higher logarithms, Illinois J. Math. 34 (1990), 392--475
  34. 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
  35. Alan Durfee and Richard M. Hain, Mixed Hodge structures on the homotopy of links, Math. Ann. 280 (1988), 69--83
  36. Richard M. Hain, The de Rham homotopy theory of complex algebraic varieties I, Journal of K-Theory 1 (1987), 271--324
  37. Richard M. Hain, The de Rham homotopy theory of complex algebraic varieties II, Journal of K-Theory 1 (1987), 481--497
  38. 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
  39. Richard M. Hain and Steven Zucker, Unipotent variations of mixed Hodge structure, Invent. Math. 88 (1987), 83--124
  40. 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
  41. 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
  42. Richard M. Hain, Higher Albanese manifolds, Hodge Theory (Proceedings of the U.S. Spain Workshop, Sant Cugat, Spain, 1985), LNM 1246, Springer-Verlag, 1987
  43. 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
  44. Richard M. Hain, On a generalization of Hilbert's 21st problem, Ann. Sci. Ecole Norm. Sup., t. 19 (1986), 609--627
  45. Richard M. Hain, On the indecomposable elements of the bar construction, Proc. Amer. Math . Soc. 98 (1986), 312--316
  46. Richard M. Hain, Mixed Hodge structures on homotopy groups, Bull. Amer. Math. Soc. 14 (1986), 111--114
  47. Richard M. Hain, Iterated integrals, intersection theory and link groups, Topology 24 (1985), 45--66, Erratum, Topology 25 (1986), 585--586
  48. Richard M. Hain, Twisting cochains and duality between minimal algebras and minimal Lie algebras, Trans. Amer. Math. Soc. 277 (1983), 397--411
  49. Richard M. Hain, Iterated Integrals, Minimal Models and Rational Homotopy Theory, Ph.D. thesis, University of Illinois, 1980
  50. Richard M. Hain, A characterization of smooth functions defined on a Banach Space, Proc. Amer. Math. Soc. 77 (1979), 63--67
  51. Peter Eades and Richard M. Hain, On circulant weighting matrices, Ars Combinatoria, 2 (1976), 265--284

Papers Accepted

  1. Richard Hain, Lectures on Moduli Spaces of Elliptic Curves, Advanced Lectures in Mathematics (2008), International Press, Boston
Last modified: 2009/11/10