For the earlier vita see


1994 Professor of Mathematics (and Economics) Emeritus, University of California, Berkeley

1995-2001 Distinguished University Professor, City University of Hong Kong

2002-present Professor, Toyota Technological Institute at Chicago

August 1, 2009 to Aug 1, 2014, Distinguished University Professor, City University of Hong Kong, Hong Kong.

Honors (selected)

  • 1994 Class of the Grand Cross of the Brasilian National Order of Scientific Merit
  • 1996 Honorary Doctor of Science, University of Michigan
  • 1996 National Medal of Science, Washington, D. C.
  • 1997 Doctor Honoris Causa, Universite Pierre et Marie Curie, Paris
  • 1997 Honorary Doctor of Science, City Univerisity of Hong Kong
  • 1997 Honorary Member of the Moscow Mathematical Society
  • 1998 Honorary Member of the London Mathematical Society
  • 1999 Honorary Doctorate of Rostov State University
  • 2004 Honorary Doctorate of University of Genoa
  • 2005 Jurgen Moser Prize of SIAM, Dynamics Group
  • 2007 Wolf Prize

List of Publications 2005-2009:

With F. Cucker, "On the mathematics of emergence"Japanese Jour of Mathematics (The first Takagi Lectures) Vol. 2, No. 1, March 2007. 197-227

With A Caponnetto, "Risk Bounds for Random Regression Graphs" Jour Foundations of computational mathematics (2007), vol 7 ,#4, 495-528

With F. Cucker, "Emergent behavior in Flocks" IEEE Transactions on automatic control, Vol 52, issue 5 (May, 2007) 852-862

With P Niyogi and S Weinberger, "Finding the homology of submanifolds with high confidence from random samples" Discrete and Computational geometry (2008) 39: 419-441

With Y. Yao "Online learning algorithms" Foundations of computational mathematics vol 6 no 2 145-170 (2006)

With D-X Zhou, "Learning theory estimates via integral operators and their approximations" Constructive Approximations (2007) 26: 153-172

with D-X Zhou, "Shannon 2: Connections to learning theory" Applied and Computational harmonic analysis 19 (2005) 285-302

With Ding-Xuan Zhou, "Online Learning with Markov Sampling" Accepted "Analysis and Applications"

With Ding-Xuan Zhou, "Geometry on Probability Spaces" accepted in "Constructive Application"

With Partha Niyogi and Shmuel Weinberger, "A Topological View of Unsupervised Learning from Noisy Data", University of Chicago Technical Report

With Tomaso Poggio, Andrea Caponnetto, Jake Bouvrie, "Derived Distance: towards a mathematical theory of visual cortex" MIT CBCL Technical Report Submitted to Jour. of FoCM.

With Nathan Smale, Hodge Theory on Metric Spaces, Submitted to Jour of FoCM.