
The Third Pillar of Science, Simons Foundation Lecture, February 17, 2021. 
Structure Preservation in the Discretization of Partial Differential Equations, invited address at the Joint Math Meetings 2021, January 9, 2021. 
Preserving Geometry in Numerical Discretization, CMSA Colloquium, Harvard University, December 2, 2020. 
Complexes from Complexes, International Conference on Computational Mathematics and Scientific Computing, Chinese Academy of Sciences, August 18, 2020. 
Wave Localization and its Landscape, Distinguished lecture in the natural sciences, Shanghai Jiaotong University, April 11, 2020. 
Finite Element Exterior Calculus and Applications, Peking
University/BICMR, August 1518, 2015. 
Part I
Part II
Part III
Part IV
Part V 
Epilogue,
SIAM Past President's Address, Minneapolis, July 11, 2012; highlights. 
Ten Lectures on Finite Element Exterior
Calculus, NSF/CBMS course, ICERM, June 1115, 2012. 
Finite Element Differential Forms
on Simplices and Cubes, conference in the memory of JL Lions, Fudan
University, May 31, 2012. 
Mathematics that Swings: the Math Behind
Golf, the 2010 Maseeh Lecture, Portland State, May 11, 2010. 
Fifty years of Whitney elements,
Colloquium on the 50th anniversary of the journal Numerische
Mathematik, Munich, June 16, 2009. 
Stability, Consistency, and
Convergence: Modern Variations on a Classical Theme, Distinguished Feng
Kang Lecture given at the Chinese Academy of Sciences, April 7, 2009. Similar
talk given as the joint AMSMAA lecture at the Joint Math Meetings,
Washington, DC, January 2009. 
Finite element differential forms,
this version from April 2009 given at the Institute for Computational
Mathematics and Science/Engineering Computing, Chinese Academy of
Sciences. 
Finite element exterior calculus and the
geometrical basis of numerical stability, this version from April 2009,
given at Tsinghua University, Beijing and Fudan University, Shanghai. 
Finite element exterior calculus: A new
approach to the stability of finite elements, plenary talk at the 9th
U.S. National Congress on Computational Mechanics, San Francisco, July 25,
2007. 
Differential complexes and mixed finite
elements for elasticity, workshop on Compatible Discretizations for PDE,
Centre of Mathematics for Applications, Oslo, Norway, September 26,
2005. 
Mathematics and the cosmos in the
Einstein centenary: The new mathematical gravitational astronomy, Bullitt
Lecture, University of Louisville, April 28, 2005. 
Mathematics in a dangerous time, Keynote
address for an Applied Math Workshop at University of Illinois, May 7,
2003. 
From exact sequences to colliding black
holes: Differential complexes in numerical analysis, Plenary address at
ICM 2002, the International Congress of Mathematics, Beijing, 2002. 
Numerical relativity, ICM 2002 Satellite
Conference on Nonlinear PDE: Theory and Approximation, Hong Kong, August 30,
2002. 
Mixed finite elements for elasticity,
ICM 2002 Satellite Conference on Scientific Computing, Xi'an, August 16,
2002. 
A quick introduction to the Einstein
equations, tutorial delivered at the IMA workshop on Numerical
Relativity, June 24, 2002. 
Mathematics in industry, presentation
delivered at the NSF VIGRE meeting, Reston, VA, May 4, 2002. 
Approximation by quadrilateral finite
elements, Sandia National Laboratory, Albuquerque, NM, February 19,
2002. 
Questions on shell theory workshop on
"Elastic Shells: Modeling, Analysis, and Computation", Mathematical Sciences
Research Institute, Berkeley, CA, April 21, 2000. 
