## Selected Presentations & Appearances

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

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,

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,

Completions of Mapping Class Groups
- Mathematics Department Colloquium
· October 15, 2018
Invited Talk
University of Oregon,

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)

Multiple modular motives II
- Periods in Number Theory, Algebraic Geometry and Physics
· January 2018
Invited Talk
University of Bonn,
Hausdorff Institute of Mathematics

Modular inverters
- Workshop: Periods and Regulators
· January 2018
Invited Talk
University of Bonn,
Hausdorff Institute of Mathematics

Ihara Curves
- Workshop: Johnson homomorphisms and related topics
· August 2017
Invited Talk
University of Tokyo,
Department of Mathematics

Johnson homomorphisms, stable and unstable
- Topology seminar
· August 2017
Invited Talk
University of Tokyo,

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,

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