 |
Francesco
Matucci Centre de Recerca Matemātica Apartat 50 08193 Bellaterra Barcelona, Spain Email: fmatucci@crm.cat |
|
Francesco
Matucci Centre de Recerca Matemātica Apartat 50 08193 Bellaterra Barcelona, Spain Email: fmatucci@crm.cat |
|
I am a postdoctoral fellow at the Centre de Recerca Matemātica in Barcelona, Spain.
Until August 2008 I was a graduate student in the Department of Mathematics at Cornell University under the supervision of Ken Brown and Martin Kassabov. My research interests are in combinatorial group theory, specifically in the study of decision problems, finiteness properties 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, Journal of Cryptology, 21(3):458-468 |
| Finite solvable
groups
whose Quillen complex is Cohen-Macaulay, submitted. |
| Conjugacy
in Thompson's Groups, submitted,
with James
Belk. |
| Dynamics
in Thompson's group F, submitted,
with James
Belk. |
| Mather invariant in groups of piecewise-linear homeomorphisms, submitted. |
| The Simultaneous
Conjugacy
Problem in Groups of Piecewise Linear Functions,
preprint, with Martin Kassabov. |
| 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 |
||
| Centralizers
in R. Thompson’s groups, Seminari de Teoria de Grupi, Universitat
Polytecnica de Catalunya, Barcelona, Spain, September 2008 (slides) | ||
| Structure Theorems for Subgroups of Homeomorphism Groups, Thompson’s Groups: New Developments and Interfaces, CIRM, Marseille, France (slides) | ||
| Centralizers in R. Thompson’s groups, AMS Special Session, Courant Institute of Mathematical Sciences, New York University, March 2008 | ||
| 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 |