 |
Francesco
Matucci Department of Mathematics, University of Virginia, 325 Kerchof Hall, Charlottesville, VA, 22904 United States of America Email: fm6w@virginia.edu |
|
Francesco
Matucci Department of Mathematics, University of Virginia, 325 Kerchof Hall, Charlottesville, VA, 22904 United States of America Email: fm6w@virginia.edu |
|
I am a Whyburn postdoctoral instructor at the Department of Mathematics at the University of Virginia in Charlottesville, Virginia.
Prior to this I spent a year at Centre de Recerca Matemātica in Barcelona, Spain. I did my graduate studies at 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. |
| 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, to appear in the Journal of Algebra. |
| Mather invariant in groups of piecewise-linear homeomorphisms, to appear in Combinatorial and Geometric Group Theory, Trends in Mathematics. |
| Conjugacy
in Thompson's Groups, submitted,
with James
Belk. |
| Dynamics
in Thompson's group F, submitted,
with James
Belk. |
| 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 |