 |
Francesco
Matucci Department of Mathematics Cornell University Ithaca, NY 14853, USA Email: matucci@math.cornell.edu |
|
Francesco
Matucci Department of Mathematics Cornell University Ithaca, NY 14853, USA Email: matucci@math.cornell.edu |
|
I
am a graduate student in the Department
of Mathematics
at Cornell
University
under the supervision of Ken Brown.
My research interests are in combinatorial group
theory, specifically in the study of decision problems and subgroup
classification in groups of homeomorphisms.
My CV is here. |
My Research Statement and my Teaching Statement. |
| Papers |
| Cryptanalysis of
the
Shpilrain-Ushakov Protocol in Thompson’s Group, to
appear in the Journal of
Cryptology. |
| Finite solvable
groups
whose Quillen complex is Cohen-Macaulay, submitted. |
| The Simultaneous
Conjugacy
Problem in Groups of Piecewise Linear Functions, preprint, with Martin Kassabov. |
| Conjugacy
in Thompson's Groups,
preprint,
with James
Belk. |
| Dynamics
in Thompson's group F,
preprint,
with James
Belk. |
| Structure Theorems for
Subgroups of Homeomorphisms Groups, in preparation,
with Collin Bleak and Martin
Kassabov (slides) |
| Roots, Centralizers and
the Conjugacy Problem in Subgroups of Homeomorphism Groups of R
and S^1,
in
preparation, with Collin Bleak and Martin
Kassabov. |
| Selected Talks |
| Structure Theorems for Subgroups of Homeomorphism Groups, University of Nebraska-Lincoln, September 2007 (slides) |
All flavours of Conjugacy in Thompson's group F, Universitat Autonoma de Barcelona, Barcelona, Spain, June 2007 (slides) |
Cryptanalysis of the Shpilrain-Ushakov Protocol in Thompson’s Group, Advanced Course on Group-Based Cryptography, May 2007 (slides) |
Conjugacy and Dynamics in Thompson's Groups, Binghamton University, May 2007 (slides) |
Conjugacy and Dynamics in Thompson's Groups, Conference on Combinatorial, algorithmic and cryptographic aspects of Group Theory, Marseille, France, February 2007 (slides) |
On Trivalent Directed Graphs and Conjugacy Classes of Thompson's Group F, AMS Special Session, University of New Hampshire, April 2006 |
The Conjugacy Problem in Groups of Piecewise Linear Functions, Binghamton University, November 2005 (slides) |
The Conjugacy Problem in Groups of Piecewise Linear Functions, Conference on Geometric and Probabilistic Methods in Group Theory and Dynamical Systems, Texas T&AM, November 2005 |
The Simultaneous Conjugacy Problem in Thompson's Group F is Solvable, AMS Special Session, University of Nebraska-Lincoln, October 2005 |