Francesco Matucci 

Instituto de Matemática, Estatística e Computação Científica
Universidade Estadual de Campinas
Rua Sérgio Buarque de Holanda, 651 – Cidade Universitária "Zeferino Vaz"
13083-859, Barão Geraldo, Campinas, São Paulo, Brazil
Phone: +55 19 3521 6003

E-mail: francesco (at)

I am a Professor Doutor (equivalent to UK lecturer, US assistant professor, French Maître de conférence) at the Instituto de Matemática, Estatística e Computação Científica of the Universidade Estadual de Campinas. Before arriving here, I was at Cornell, CRM Barcelona, Virginia, Paris Sud 11 and CAUL Lisbon.

I am interested in questions of asymptotic, combinatorial and geometric group theory: decision problems, finiteness properties, subgroup classification, growth and dynamics in groups, and dynamics in groups, such as piecewise-linear homeomorphism groups, Thompson groups, groups of diagrams, free groups, Baumslag-Solitar groups, surface groups, lamplighter groups, nilpotent groups and finite groups.


Research papers

  1. Intersection growth in metabelian groups,
    with I.Biringer, K.Bou-Rabee, M.Kassabov, in progress
  2. Dynamics and centralizers in the higher dimensional Thompson's group 2V,
    with J. Belk, C.Martinez-Perez, B.Nucinkis, in progress
  3. Intersection growth in nilpotent groups,
    with I.Biringer, K.Bou-Rabee, M.Kassabov, in preparation
  4. Embeddings into Thompson's group V and coCF groups,
    with C.Bleak, M.Neunhoffer, submitted (abstract, arXiv)
  5. Cohomological finiteness conditions and centralisers in generalisations of Thompson's group,
    with C.Martinez-Perez, B.Nucinkis, submitted (abstract, arXiv)
  6. Rover's Simple Group is of Type F_\infty,
    with J.Belk, to appear in Publicacions Matematiques (abstract, arXiv)
  7. On groups with slow intersection growth,
    with M.Kassabov, to appear in Proceedings of the Edinburgh Mathematical Society (abstract, arXiv)
  8. Intersection growth in groups,
    with I.Biringer, K.Bou-Rabee, M.Kassabov, to appear in Transactions of the American Mathematical Society (abstract, arXiv)
  9. The Conjugacy Problem in Extensions of Thompson's group F,
    with J.Burillo, E.Ventura, to appear in Israel Journal of Mathematics (abstract, arXiv)
  10. Conjugacy and Dynamics in Thompson's groups,
    with J.Belk, Geometriae Dedicata 169, No. 1 (2014) 239-261 (abstract, arXiv)
  11. Implementation of a Solution to the Conjugacy Problem in Thompson’s Group F,
    with J. Belk, N. Hossain, R. McGrail, ACM Communications in Computer Algebra 47, 3/4 (2014), 120-121 (abstract, paper, proceedings website)
  12. Deciding Conjugacy in Thompson's Group F in Linear Time,
    with J. Belk, N. Hossain, R. McGrail, 2013 15th International Symposium on International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 89-96 (abstract, paper, slides, proceedings website)
  13. Centralizers in R.Thompson’s group V_n,
    with C.Bleak, H.Bowman, A.Gordon, G.Graham, J.Hughes, J.Sapir, Groups, Geometry and Dynamics 7, No. 4 (2013), 821-865 (abstract, arXiv)
  14. Presentations for the Higher Dimensional Thompson's groups nV,
    with J.Hennig, Pacific Journal of Mathematics 257, No. 1 (2012) 53--74 (abstract, arXiv)
  15. The Simultaneous Conjugacy Problem in Groups of Piecewise Linear Functions,
    with M.Kassabov, Groups, Geometry and Dynamics 6, No. 2 (2012) 279--315 (abstract, arXiv)
  16. Structure Theorems for Subgroups of Homeomorphisms Groups,
    with C.Bleak, M.Kassabov, International Journal of Algebra and Computation 21, no. 6 (2011), 1007--1036, (abstract, arXiv)
  17. Bounding the residual finiteness of free groups,
    with M.Kassabov, Proceedings of the American Mathematical Society 139 (2011), no. 7, 2281--2286 (abstract, arXiv)
  18. Mather invariant in groups of piecewise-linear homeomorphisms,
    Trends in Mathematics, Combinatorial and Geometric Group Theory (2010) 251--260 (abstract, arXiv)
  19. Finite solvable groups whose Quillen complex is Cohen-Macaulay,
    Journal of Algebra 322 (2009) 969--982 (abstract, arXiv)
  20. Cryptanalysis of the Shpilrain-Ushakov Protocol in Thompson's Group,
    Journal of Cryptology, 21(3) (2008) 458--468 (abstract, arXiv)

PhD thesis

  1. Algorithms and Classification in Groups of Piecewise-Linear Homeomorphisms,
    PhD Thesis, Cornell University, 2008, Advisors: Ken Brown and Martin Kassabov (abstract, arXiv)

Selected Talks