Robert Connelly ( born Robert Connelly ) (born July 15, 1942 , Seuikley , Pennsylvania , USA ) - American mathematician , expert in combinatorial geometry and the theory of structural rigidity ( English Structural rigidity ).
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Scientific Activities
In 1964, he received a bachelor 's degree in mathematics from the Carnegie Institute of Technology (since 1967, he is called Carnegie Mellon University). In 1969, he received a doctorate in mathematics from the University of Michigan in Ann Arbor , Michigan . Since 1969 he has been teaching at Cornell University in Ithaca , New York . He occupied temporary positions at the Institute of Higher Scientific Research in Byur-sur-Yvette in France in 1975-1976 and 1983, at Syracuse University in the State of New York in 1976-1977, at Dijon and Savoy Universities in France in 1984, in Budapest University in 1986, 2002, 2003, 2007 and 2008, at the University of Montreal in Canada in 1987, at the University of Bielefeld in Germany in 1991–1992 as a Humboldt scholar, at the University of Washington in Seattle in 1999–2000, at the University Calgary in Canada in 2004 at the University of Cambridge those in the UK 2005-2006. From January 1, 1996 to June 30, 1999 he headed the mathematics department at Cornell University [1] [2] . Since 1987 and as of 2012 he is a professor of mathematics at Cornell University .
Scientific contribution
Connelly's research interests lie mainly in the field of combinatorial geometry and, above all, concern the study of the problems of structural rigidity, stability and bendability of polyhedra, frameworks, stressed frameworks [3] . In his works he used, in particular, the energy method [ clarify ] and infinitesimal bendings of higher orders [ clarify ] . I solved some previously discovered problems of dense packing [4] and on straightening a broken line. [five]
Connelly is best known for the bendable polyhedron he proposed, which does not have self-intersections. This construction was devoted to a plenary report [6] at the International Mathematical Congress ( Helsinki , 1978). One of the models of a flexible polyhedron is in the National Museum of American History . Asteroid 4816 (Connelly) is named after Robert Connelly.
Works translated into Russian
- P. Connelly, On one approach to the problem of inflexibility , in Vol. by ed. A. N. Kolmogorova and S. P. Novikova : Studies on the metric theory of surfaces. M .: Mir. 1980. pp. 164–209.
- R. Connelly, Some assumptions and unresolved questions in the theory of bending . Ibid. Pp. 228–238.
Selected Publications
- K. Bezdek and R. Connelly, Pushing disks apart - the Kneser-Poulsen conjecture in the plane , J. Reine Angew. Math 553 (2002), 221–236.
- R. Connelly, Generic global rigidity , Discrete Comput. Geom 33 (2005), no. 4, 549-563.
- R. Connelly, ED Demaine, and G. Rote, Straightening polygonal arcs and convexifying polygonal cycles . Discrete Comput. Geom 30 (2003), no. 2, 205–239.
- M. Belk and R. Connelly, Realizability of graphs , Discrete Comput. Geom 37 (2007), no. 2, 125-137.
- A. Donev, S. Torquato, FH Stillinger, and R. Connelly, Jamming & Hard Disk Packings, J. Appl. Phys. 95 (2004), no. 3, 989-999.
- R. Connelly, The rigidity of polyhedral surfaces , Math. Mag. 52 (1979), no. 5, 275–283.
- R. Connelly, Rigidity . Handbook of convex geometry, Vol. A, 223-271, North-Holland, Amsterdam, 1993. ISBN 0-444-89597-3
Links
- Homepage
- Cornell University Faculty of Mathematics (contains photo)
Notes
- ↑ Math Matters, The Cornell Mathematics Department Newsletter, vol. 4, no. 1 1996.
- ↑ Math Matters, Winter 1999.
- ↑ R. Connelly. Rigidity. In the book edited by P. Gruber et al. Handbook of convex geometry. Volume A. Amsterdam: North-Holland. 223-271 (1993).
- ↑ K. Bezdek, R. Connelly. Pushing disks apart - the Kneser-Poulsen conjecture in the plane . J. Reine Angew. Math Vol. 553, 221–236 (2002).
- ↑ R. Connelly, ED Demaine, G. Rote. Straightening polygonal arcs and convexifying polygonal cycles . Discrete Comput. Geom Vol. 30, No. 2, 205–239 (2003).
- ↑ R. Connelly. Conjectures and open questions in rigidit . Proc. int. Congr. Math., Helsinki 1978, Vol. 1, 407-414 (1980).