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Richard Hain

Professor of Mathematics
Mathematics
Box 90320, Durham, NC 27708-0320
107 Physics Bldg, Durham, NC 27708

Selected Presentations & Appearances


Is the Goldman-Turaev Lie Bialgebra Motivic? - Periods seminar · January 8, 2024 Invited Talk Tsinghua University, Beijing, (virtual)
Mapping class groups of simply connected algebraic manifolds - Algebraic topology seminar · November 2, 2023 Invited Talk Princeton University, (virtual)
Hodge Correlators, the Goldman-Turaev Lie Bialgebra and Johnson Homomorphisms - Workshop on Mapping class groups: pronilpotent and cohomological approaches · September 2023 Invited Talk SwissMAP, Les Diablerets, Switzerland
Polylogs: prehistory and future directions - workshop on Polylogarithms, Cluster Algebras, and Scattering Amplitudes · September 2023 Invited Talk Brin Mathematics Research Center, University of Maryland
Mapping class groups of simply connected algebraic manifolds - Colloquium · September 2023 Invited Talk Institut de Mathématiques de Bourgogne, Dijon
Is the Goldman-Turaev Lie Bialgebra Motivic? - Periods seminar · January 8, 2024 Invited Talk Tsinghua University, Beijing, (virtual)
Mapping class groups of simply connected algebraic manifolds - Algebraic topology seminar · November 2, 2023 Invited Talk Princeton University, (virtual)
Hodge Correlators, the Goldman-Turaev Lie Bialgebra and Johnson Homomorphisms - Workshop on Mapping class groups: pronilpotent and cohomological approaches · September 2023 Invited Talk SwissMAP, Les Diablerets, Switzerland
Polylogs: prehistory and future directions - workshop on Polylogarithms, Cluster Algebras, and Scattering Amplitudes · September 2023 Invited Talk Brin Mathematics Research Center, University of Maryland
Mapping class groups of simply connected algebraic manifolds - Colloquium · September 2023 Invited Talk Institut de Mathématiques de Bourgogne, Dijon
Hecke Actions on Loops and Periods of Iterated Shimura Integrals - Periods, Shafarevich Maps and Applications · February 2023 Invited Talk University of Miami, Florida
Modular inverters - Algebra, Topology and the Grothendieck-Teichmüller group · August 2022 Invited Talk SwissMAP Research Station (Switzerland), (virtual)
Weighted completion of Galois groups and rational points - Rational Points and Galois Representations · May 2021 Invited Talk University of Pittsburgh, (virtual)
A Guide to Variations of Mixed Hodge Structure: Generalities and Examples - Recent Developments in Hodge Theory · April 2021 Invited Talk University of Miami, (virtual)
Hecke operators and iterated integrals of modular forms - Galois Theory of Periods Seminar · November 2020 Invited Talk Oxford University, (virtual)
Johnson Homomorphisms, the Goldman--Turaev Lie bialgebra and GRT - Patterns in Cohomology of Moduli Spaces · October 1, 2019 Invited Talk Clay Mathematics Institute, Oxford University
Mixed elliptic motives - Masterclass: Elliptic Motives · May 20, 2019 - May 24, 2019 Instructional Course, Workshop, or Symposium KTH Royal Institute of Technology and University of Stockholm,
The Johnson homomorphism and its generalizations - Séminaire "Groupes de Lie et espaces des modules" · April 5, 2019 Invited Talk University of Geneva, Switzerland
Path torsors of moduli spaces of curves - Modular forms, periods and scattering amplitudes · April 2019 Invited Talk Institute for Theoretical Studies, ETH Zurich
Hodge Theory and the Goldman–Turaev Lie Bialgebra - Algebra seminar · October 16, 2018 Invited Talk University of Oregon, Eugene
Completions of Mapping Class Groups - Mathematics Department Colloquium · October 15, 2018 Invited Talk University of Oregon, Eugene
Hodge theory and the Goldman-Turaev Lie bialgebra - Workshop on Poisson geometry of moduli spaces, associators and quantum field theory · May 2018 Invited Talk Simons Center, SUNY, Stony Brook

(Two talks)

Modular inverters - Workshop: Periods and Regulators · January 2018 Invited Talk University of Bonn, Hausdorff Institute of Mathematics
Multiple modular motives II - Periods in Number Theory, Algebraic Geometry and Physics · January 2018 Invited Talk University of Bonn, Hausdorff Institute of Mathematics
Johnson homomorphisms, stable and unstable - Topology seminar · August 2017 Invited Talk University of Tokyo, Japan
Ihara Curves - Workshop: Johnson homomorphisms and related topics · August 2017 Invited Talk University of Tokyo, Department of Mathematics
Motives and derivations of free Lie algebras - Hot Topics: Galois Theory of Periods and Applications · March 2017 Invited Talk Mathematical Sciences Research Institute, Berkeley, CA
Introduction to mixed modular motives - Local zeta functions and the arithmetic of moduli spaces: A conference in memory of Jun-Ichi Igusa · March 2017 Invited Talk Johns Hopkins University, Baltimore
Introduction to Unipotent and Relative Unipotent Completion - Algebraic geometry seminar · October 2016 Invited Talk Purdue University,
Motivic Structures on Mapping Class Groups - ALGECOM-14 · October 2016 Invited Talk Purdue University,
Completions of path torsors of moduli spaces of curves (4 lectures) - GRT, MZVs and associators workshop · August 2016 Invited Talk Les Diablerets, Switzerland,
Galois actions on unipotent fundamental groups of curves - Topology of Complex Algebraic Varieties · May 2016 Invited Talk CIRM, Luminy, France,
Mixed motives associated to elliptic curves - Moduli Spaces in Geometry · October 2015 Invited Talk CIRM, Luminy, France,
Mixed motives associated to classical modular forms - Algebraic Geometry 2015 · July 2015 Invited Talk American Mathematical Society, University of Utah
Rational Points of Universal Curves - Algebra seminar · April 2015 Invited Talk Colorado State University,
Rational Points of Universal Curves - Algebra seminar · March 16, 2015 Invited Talk University of Pennsylvania,
A Torelli Odyssey - Teichmüller Modular Groups · March 2015 Invited Talk University of Chicago,
Normal functions and the geometry of moduli spaces of curves · January 2015 Invited Talk Institute for Advanced Study, Princeton,
The Hodge theory of SL_2(Z) and Pollack's relations between derivations - Workshop on Multiple Zeta Values, Modular Forms and Elliptic Motives II · December 2014 Invited Talk ICMAT, Madrid,
The Hodge-de Rham theory of modular groups - Conference on Hodge Theory and L^2-cohomology · November 2014 Invited Talk Johns Hopkins University,
The Hodge-de Rham theory of modular groups - Workshop on Periods · October 2014 Invited Talk Institute for Advanced Study, Princeton,
Can a mapping class group ever be a Kähler group? - Algebra seminar · September 12, 2014 Lecture University of Sydney,

Invited Lectures

Introduction to universal mixed elliptic motives - Motives conference · September 5, 2014 Invited Talk Hiroshima University,

Invited Lectures

Universal mixed elliptic motives - mini-course · May 2014 Lecture Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France

Invited Lectures ; http://www.math.duke.edu/faculty/hain/ihes/ notes

Motivic structures on completions of modular groups - Fundamental Groups in Arithmetic and Algebraic Geometry · December 20, 2013 Lecture Di Giorgi Center, Pisa, Italy,

Invited Lectures

Modular forms and multiple zeta values, Texas Geometry and Topology Conference · October 13, 2013 Lecture Texas A&M University
The Hodge theory of relative completions of modular groups, Recent Advances in Hodge Theory · June 14, 2013 Lecture University of British Columbia, Vancouver, BC
Hodge Theory and Iterated Integrals, Summer School, Recent Advances in Hodge Theory · June 13, 2013 Lecture University of British Columbia, Vancouver, BC
The Beauville splitting of the Chow groups of a the jacobian of a general curve, Algebra Seminar · May 17, 2013 Lecture University of Sydney
Higher Genus Polylogarithms, Workshop on Grothendieck-Teichmüller Theory and Multiple Zeta Values · April 10, 2013 Lecture Newton Institute, Cambridge, UK
Infinitesimal presentations of mapping class groups, Colloquium · February 28, 2013 Lecture SUNY Stony Brook
The Beauville splitting of the Chow groups of a general jacobian, Algebra, Geometry and Physics seminar · February 27, 2013 Lecture SUNY Stony Brook
Scissors Congruence, NAM MathFest · November 8, 2012 Lecture Morgan State University, Baltimore MD
Mapping class groups and rational points of algebraic curves, Algebraic Geometry and Number Theory seminar · November 7, 2012 Lecture Johns Hopkins University
Colloquium, Mapping class groups and rational points of algebraic curves · October 19, 2012 Lecture University of Illinois, Chicago
Morse theory and the topology of moduli spaces of curves · June 8, 2012 Lecture Centre International de Rencontres Mathématiques, Luminy, France
Morse theory and mapping class groups in low genus, Colloquium · May 29, 2012 Lecture Université de Nice
The Torelli group in genus 3, Max Dehn Seminar · February 16, 2012 Lecture University of Utah
The Torelli group in genus 3, Geometry/Topoogy seminar · September 23, 2011 Lecture University of Chicago
Universal mixed ellliptic motives · May 24, 2011 Lecture Lorentz Center, University of Leiden, The Netherlands
Topology and Arithmetic, Colloquium · May 19, 2011 Lecture Universiteit Utrecht
On a problem of Eliashberg, Seminaire Algèbre, Topologie et Géométrie · May 10, 2011 Lecture Université de Nice, France
Universal mixed ellliptic motives · May 6, 2011 Lecture Heilbronn Institute, Bristol University, UK
Topology and arithmetic, Colloquium · February 24, 2011 Lecture Rice University
Topology and arithmetic, Max Dehn Seminar · February 11, 2011 Lecture University of Utah
Universal mixed elliptic motives · June 9, 2010 Lecture Number Theory Seminar, University of Tokyo
On the section conjecture for universal curves over function fields, Algebra Seminar · May 28, 2010 Lecture University of Sydney
On the section conjecture for curves over universal function fields · April 30, 2010 Lecture Institut Henri Poincaré, Paris
On the section conjecture for universal curves over function fields · July 29, 2009 Lecture Newton Institute, Cambridge, UK
On the Section Conjecture for universal curves over function fields, Number Theory Seminar · June 24, 2009 Lecture Tokyo University
On the Section Conjecture for universal curves over function fields · June 19, 2009 Lecture Number Theory Seminar, Hiroshima University
Hodge and Galois theory of fundamental groups of algebraic varieties, (2 talks) Fundamental Groups in Algebraic Geometry · May 25, 2009 Lecture Université de Nice
Groupes de Teichmüller et espaces de modules de courbes, Séminaire Passe-partout · May 20, 2009 Lecture Université de Nice
Elliptic curves and multiple zeta numbers, UNSW-Sydney joint Colloquium, University of New South Wales, Australia · November 14, 2008 Lecture
Algebraic completions of discrete and profinite groups, Algebra Seminar, University of Sydney · November 6, 2008 Lecture
Elliptic curves and multiple zeta numbers, Colloquium · September 23, 2008 Lecture University of Michigan, Ann Arbor
An introduction to moduli of curves through elliptic curves (4 lectures) · July 1, 2008 Lecture Zhejiang University, Hangzhou, China
Elliptic motives and multiple zeta values, Séminaire de géométrie algébrique Rennes-Nantes-Paris · April 3, 2008 Lecture Institut des Hautes Etudes Scientifiques, Paris
Hyperelliptic Torelli groups, Max-Planck Institut, Bonn, Germany · January 9, 2008 Lecture

Service to the Profession


Co-organizer (with F. Brown, C. Dupont, V. Vologodsky) of Hot Topis workshop: - Galois Theory of Periods and Applications · March 27, 2017 - March 31, 2017 Event/Organization Administration MSRI, Berkeley,
Program committee (with Valery Alexeev, and François Loeser) for conference: - Local zeta functions and the arithmetic of moduli spaces: A conference in memory of Jun-Ichi Igusa · March 22, 2017 - March 26, 2017 Event/Organization Administration Johns Hopkins University,
American Mathematical Society, Colloquium Lecture Committee · February 2016 - January 2019 Committee Service American Mathematical Society,
NSF site visit, American Institute of Mathematics · May 17, 2015 - May 19, 2015 Other National Science Foundation,
Distinguished Public Service Award Committee · February 2015 - January 2020 Committee Service American Mathematical Society,
Co-organizer (with F. Brown, C. Dupont, V. Vologodsky) of Hot Topis workshop: - Galois Theory of Periods and Applications · March 27, 2017 - March 31, 2017 Event/Organization Administration MSRI, Berkeley,
Program committee (with Valery Alexeev, and François Loeser) for conference: - Local zeta functions and the arithmetic of moduli spaces: A conference in memory of Jun-Ichi Igusa · March 22, 2017 - March 26, 2017 Event/Organization Administration Johns Hopkins University,
American Mathematical Society, Colloquium Lecture Committee · February 2016 - January 2019 Committee Service American Mathematical Society,
NSF site visit, American Institute of Mathematics · May 17, 2015 - May 19, 2015 Other National Science Foundation,
Distinguished Public Service Award Committee · February 2015 - January 2020 Committee Service American Mathematical Society,
(co-organizer with J. Burgos (Madrid), K. Ebrahimi-Fard (Madrid), H. Gangl (Durham, UK), J. Kramer (Berlin), O. Patashnick (Bristol, UK), L. Scneps (Paris)) - Workshop on Multiple Zeta Values, Modular Forms and Elliptic Motives II · December 1, 2014 - December 5, 2014 Event/Organization Administration ICMAT, Madrid, Spain,
Organizer (co-organizers Benson Farb and Eduard Looijenga) - Moduli Spaces of Riemann Surfaces · July 3, 2011 - July 23, 2011 Event/Organization Administration IAS/Park City Mathematics Institute, Park City, Utah

Conferences Organized

Co-organizer (with Herbert Gangl) - Multiple zeta values, modular forms and elliptic motives · May 2, 2011 - May 6, 2011 Event/Organization Administration Heilbronn Institute, University of Bristol, UK,

Conferences Organized

American Mathematical Society, Committee on Publications · February 2010 - January 1, 2013 Other
Member : Council of the American Mathematical Society · February 2010 - January 1, 2013 Other
Director : IAS Park City Mathematics Institute · September 2009 - September 2014 Other
American Mathematical Society: Advisory Board for Employment Committee · February 2009 - January 31, 2011 Other

Service to Duke


Assistant managing editor . Duke Mathematical Journal · July 2022 - June 2023 Editorial Activities
Managing editor . Duke Mathematical Journal · July 2019 - June 2022 Editorial Activities
Managing co-editor · July 2018 - June 2019 Editorial Activities Duke Mathematical Journal,
Organizer . Fourth Duke Mathematical Journal Conference · April 26, 2018 - April 29, 2018 Event/Organization Administration Duke University,