Benjamin Thompson

Ph.D. Candidate

Mauro Camargo Rios

Ph.D. Candidate

Chaitanya Tappu

Ph.D. Candidate

Brandon Shapiro

Ph.D. Candidate

David Mehrle

Ph.D. Candidate

Elise McMahon

Ph.D. Candidate

Karen Vogtmann, FRS

Goldwin Smith Professor Emerita of Mathematics; Professor, University of Warwick

Publications

  • Moduli of graphs and automorphisms of free groups (with M. Culler), Inventionnes 84 (1986), 91–119.
  • Cerf theory for graphs (with A. Hatcher), J. London Math. Soc. 58 part 3 (1998), 633–655.
  • Geometry of the space of phylogenetic trees (with L. J. Billera and S. Holmes), Advances in Applied Math 27 (2001), 733–767.
  • On a theorem of Kontsevich (with J. Conant), Algebr. Geom. Topol. 3 (2003), 1167–1224.
  • The cohomology of automorphism groups of free groups, Proceedings of the I.C.M. Madrid II (2006), 1101–1119.
  • Automorphisms of two-dimensional right-angled Artin groups (with R. Charney), Geometry & Topology 11(2007), 2227–2264.
  • Actions of automorphism groups of free groups on spheres and acyclic manifolds (with Martin Bridson), Commentarii Math. Helv. 86 no. 1 (2011).
  • Abelian covers of graphs and maps between outer automorphisms of free groups (with M. R.. Bridson), Math. Ann. 353 no. 4 (2012), 1069–1102.

Allen Hatcher

Professor Emeritus

Publications

  • Higher simple homotopy theory, Annals of Math. 102 (1975), 101–137.
  • A proof of the Smale conjecture, Annals of Math. 117 (1983), 553–607.
  • Algebraic Topology, Cambridge University Press, 2002. (This book is also available online at pi.math.cornell.edu/~hatcher)

Peter J. Kahn

Professor Emeritus

Kenneth Brown

Professor Emeritus

Publications

Euler Characteristics of Discrete Groups and G-Spaces, Invent. Math. 27 (1974), 229–264.

Cohomology of Groups, Graduate Texts in Mathematics 87, Springer-Verlag, New York, 1982.

Semigroups, Rings and Markov Chains, J. Theoret. Probab. 13 (2000), 871–938.

Forest diagrams for elements of Thompson’s group F (with James Belk), Internat. J. Algebra Comput. 15 (2005), 815–850.

Buildings: Theory and Applications (with Peter Abramenko), Graduate Texts in Mathematics 248, Springer, New York, 2008.

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