Robert Penner
Robert Clark Penner | |
|---|---|
Institut des Hautes Etudes Scientifiques | |
| Doctoral advisor | James Munkres David Gabai |
Robert Clark Penner is an American
theoretical biology. He is the son of Sol Penner
, an aerospace engineer.
Biography
Robert Clark Penner received his
Ph.D. from the Massachusetts Institute of Technology in 1981, the latter under the direction of James Munkres and David Gabai
. In his doctoral studies, he solved a 50 year old
problem posed by Max Dehn on the action of the mapping class group on curves and arcs in surfaces, developed combinatorial aspects of Thurston's theory of train tracks and generalized Thurston's construction of pseudo-Anosov maps.[1]
After postdoctoral positions at
Institut des Hautes Etudes Scientifiques.[3]
Throughout his career Penner held various visiting positions around the world including
University of Grenoble, Nonlinear Institute of Nice-Sophia Antipolis
.
Contributions to mathematics, physics, and biology
Penner's research began in the theory of
Teichmüller theory
together with its Lie algebra. He discovered
combinatorial cocycles with Shigeyuki Morita for the first and with Nariya Kawazumi for the higher Johnson homomorphisms. Penner has also contributed to theoretical biology in joint work with Jørgen E. Andersen et al.
discovering a priori geometric constraints on protein geometry, and with Michael S. Waterman, Piotr Sulkowski, Christian Reidys
et al. introducing and solving the matrix model for RNA topology.
Main journal publications
- Penner, R. C. (1987). "The decorated Teichmüller space of punctured surfaces". S2CID 120198031.
- .
- Penner, R. C. (1988). "Perturbative series and the moduli space of Riemann surfaces". .
- Penner, Robert C. (1988). "A construction of pseudo-Anosov homeomorphisms". .
- Penner, R. C. (1991). "Bounds on least dilatations". .
- Penner, R. C. (1992). "Weil-Petersson volumes". .
- Penner, R. C. (1993). "Universal constructions in Teichmüller theory". .
- Penner, R. C. (1996). "The geometry of the Gauss product". Journal of Mathematical Sciences. 81 (3): 2700–2718. .
- Penner, R. C.; .
- Papadopoulos, Athanase; Penner, R. C. (1991). "La forme symplectique de Weil-Petersson et le bord de Thurston de l'espace de Teichmüller". Comptes rendus de l'Académie des Sciences. Série I. 312: 871–874.
- S2CID 14428342.
- Morita, S.; Penner, R. C. (2008). "Torelli groups, extended Johnson homomorphisms, and new cycles on the moduli space of curves". S2CID 13633256.
- Bene, Alex James; Kawazumi, Nariya; Penner, R. C. (2009). "Canonical extensions of the Johnson homomorphisms to the Torelli groupoid". .
- Penner, Robert C.; Andersen, Ebbe S.; Jensen, Jens L.; Kantcheva, Adriana K.; Bublitz, Maike; Nissen, Poul; Rasmussen, Anton M. H.; Svane, Katrine L.; Hammer, Bjørk; Rezazadegan, Reza; Nielsen, Niels Chr.; Nielsen, Jakob T.; Andersen, Jørgen E. (2014). "Hydrogen bond rotations as a uniform structural tool for analyzing protein architecture". PMID 25517704.
- Reidys, Christian M.; Huang, Fenix W. D.; Andersen, Jørgen E.; Penner, Robert C.; Stadler, Peter F.; Nebel, Markus E. (2011). "Topology and prediction of RNA pseudoknots". PMID 21335320.
- Andersen, Jørgen E.; Chekhov, Leonid O.; Penner, R. C.; Reidys, Christian M.; Sułkowski, Piotr (2012). "Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces". S2CID 10826116.
- Penner, R. C. (2016). "Moduli spaces and macromolecules". .
- Penner, R. C.; Zeitlin, Anton M. (2019). "Decorated super-Teichmüller space". S2CID 119664779.
Books
- with the assistance of J. L. Harer: Combinatorics of Train Tracks, Annals of Mathematical Studies 125, Princeton University Press (1992); second printing (2001).
- Perspectives in Mathematical Physics, Shing-Tung Yau(1994).
- Discrete Mathematics--proof techniques and mathematical structures, World Scientific Publishing Company(1999); second printing (2001).
- Woods Hole Mathematics: perspectives in math and physics, edited by World Scientific Publishing Company(2004).
- Groups of Diffeomorphisms-in honor of Shigeyuki Morita on the occasion of his 60th birthday, Advanced Studies in Pure Mathematics 52 (2008), Mathematical Society of Japan, edited by R. C. Penner, D. Kotschick, T. Tsuboi, N. Kawazumi, T. Kitano, Y. Mitsumatsu.
- Decorated Teichmüller theory, (with a foreword by ISBN 978-3-03719-075-3.
- Topology and K-theory: Lectures by Daniel Quillen, Notes by Robert Penner, Springer-Verlag Lecture Notes in Mathematics (2020)
Patents
Methods of Digital Filtering and Multi-Dimensional Data Compression Using the Farey Quadrature and Arithmetic, Fan, and Modular Wavelets, US Patent 7,158,569 (granted 2Jan07)[4]
Philanthropy
In 2018 Penner endowed the Alexzandria Figueroa and Robert Penner Chair at the IHES in memoriam of Alexzandria Figueroa.[5]
References
- hdl:1721.1/15618– via dspace.mit.edu.
- ^ "qgm.au.dk". qgm.au.dk.
- ^ "Robert C. Penner".
- ^ "Methods of digital filtering and multi-dimensional data compression using the farey quadrature and arithmetic, fan, and modular wavelets".
- ^ "The Alexzandria Figueroa and Robert Penner Chair established at the Institut des Hautes Etudes Scientifiques". February 1, 2019.
