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how dose math related to robots
In the last two decades the field of robotics has largely been developed within the computer science and
engineering communities. However, many open problems of great practical significance remain that require
the application of modern mathematical and computational tools. Members of the relevant scientific
communities and several National Science Foundation programs share common interests in exploring
potential advances in these directions and recognize the advantages in bringing together people from diverse
areas to contribute to the development of fundamental research in these disciplines. Some initial
collaborative efforts in recent years demonstrate that the time is right for sustained and intensive activities
between the two groups of researchers.
In order to stimulate fruitful interdisciplinary investigations, the Divisions of Mathematical Sciences,
Information and Intelligent Systems, and Civil and Mechanical Structures of the National Science
Foundation co-sponsored a workshop on the interplay between mathematics and robotics which was held at
the National Science Foundation on May 15, 16, and 17. We the participants identified fundamental and
significant areas of robotics research and the mathematical tools necessary to help solve problems therein. A
summary of our findings, the workshop agenda, and the list of attendees form the basis for this report.
James S. Albus, National Institute of Standards & Technology
Mihai Anitescu, University of Pittsburgh
Anthony Bloch, University of Michigan
Roger Brockett, Harvard University
Joel Burdick, California Institute of Technology
Greg Cherikjian, The Johns Hopkins University
Mike Erdmann, Carnegie Mellon University
Robert Ghrist, Georgia Institute of Technology
Leo Guibas, Stanford University
John Harer, Duke University
Roberto Horowitz, UC Berkeley
John Horst, National Institute of Standards & Technology
Steve Kaufman, Sandia National Laboratories
P.S. Krishnaprasad, University of Maryland
Vijay Kumar, University of Pennsylvania
Ming Lin, University of North Carolina
Matt Mason,Carnegie Mellon University
Jim Milgram, Stanford University
Jean Ponce, University of Illinois, Urbana-Champaign
Florian Potra, University of Maryland Baltimore County
Daniela Rus, Dartmouth University
Ed Scheinerman, The Johns Hopkins University
Ray Sterling, Louisiana Tech University
David Stewart, The University of Iowa
Russell Taylor, The Johns Hopkins University
Sebastian Thrun, Carnegie Mellon University
Dawn Tilbury, University of Michigan
Jeffrey C. Trinkle, Sandia National Laboratories
Louis Whitcomb, The Johns Hopkins University
engineering communities. However, many open problems of great practical significance remain that require
the application of modern mathematical and computational tools. Members of the relevant scientific
communities and several National Science Foundation programs share common interests in exploring
potential advances in these directions and recognize the advantages in bringing together people from diverse
areas to contribute to the development of fundamental research in these disciplines. Some initial
collaborative efforts in recent years demonstrate that the time is right for sustained and intensive activities
between the two groups of researchers.
In order to stimulate fruitful interdisciplinary investigations, the Divisions of Mathematical Sciences,
Information and Intelligent Systems, and Civil and Mechanical Structures of the National Science
Foundation co-sponsored a workshop on the interplay between mathematics and robotics which was held at
the National Science Foundation on May 15, 16, and 17. We the participants identified fundamental and
significant areas of robotics research and the mathematical tools necessary to help solve problems therein. A
summary of our findings, the workshop agenda, and the list of attendees form the basis for this report.
James S. Albus, National Institute of Standards & Technology
Mihai Anitescu, University of Pittsburgh
Anthony Bloch, University of Michigan
Roger Brockett, Harvard University
Joel Burdick, California Institute of Technology
Greg Cherikjian, The Johns Hopkins University
Mike Erdmann, Carnegie Mellon University
Robert Ghrist, Georgia Institute of Technology
Leo Guibas, Stanford University
John Harer, Duke University
Roberto Horowitz, UC Berkeley
John Horst, National Institute of Standards & Technology
Steve Kaufman, Sandia National Laboratories
P.S. Krishnaprasad, University of Maryland
Vijay Kumar, University of Pennsylvania
Ming Lin, University of North Carolina
Matt Mason,Carnegie Mellon University
Jim Milgram, Stanford University
Jean Ponce, University of Illinois, Urbana-Champaign
Florian Potra, University of Maryland Baltimore County
Daniela Rus, Dartmouth University
Ed Scheinerman, The Johns Hopkins University
Ray Sterling, Louisiana Tech University
David Stewart, The University of Iowa
Russell Taylor, The Johns Hopkins University
Sebastian Thrun, Carnegie Mellon University
Dawn Tilbury, University of Michigan
Jeffrey C. Trinkle, Sandia National Laboratories
Louis Whitcomb, The Johns Hopkins University
Thursday, April 10, 2014
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