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Dr Anne Thomas

F07 - Carslaw Building
The University of Sydney

Telephone +61 2 9351 3357

Website Mathematics and Statistics profile

Research interests

My research interests include geometric group theory, Coxeter groups and buildings. Most of my work concerns actions on discrete groups on nonpositively curved spaces, and I often collaborate with researchers from other areas of mathematics.

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Teaching and supervision

Timetable

A_Thomas

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Current research students

Project title Research student
The periodic Hecke module of hyperbolic triangle groups Gaston BURRULL NAREDO
Triangulations, Buildings and Real Projective Structures. Dominic TATE
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Selected grants

2019

  • Large scale geometry of Coxeter groups; Thomas A; DVC Research/Brown Fellowships.

2018

  • Affine flags, Euclidean reflection groups and folded galleries; Thomas A, Milicevic E, Schwer P; Australian Research Council (ARC)/Discovery Projects (DP).

2011

  • Lattices in locally compact groups; Thomas A, Capdeboscq I; Australian Research Council (ARC)/Discovery Projects (DP).
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Selected publications

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Books

  • Thomas, A. (2018). Geometric and Topological Aspects of Coxeter Groups and Buildings. Zurich, Switzerland: European Mathematical Society Publishing House.

Book Chapters

  • Margalit, D., Thomas, A. (2017). Quasi-isometries. In Matt Clay, Dan Margalit (Eds.), Office Hours with a Geometric Group Theorist, (pp. 125-145). New Jersey: Princeton University Press.
  • Thomas, A. (2016). Lattices in hyperbolic buildings. In C. S. Aravinda, F. T. Farrell, J.-F. Lafont (Eds.), Geometry, Topology, and Dynamics in Negative Curvature, (pp. 345-363). Cambridge: Cambridge University Press. [More Information]
  • Farb, B., Hruska, C., Thomas, A. (2011). Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices. In Benson Farb and David Fisher (Eds.), Geometry, Rigidity, and Group Actions, (pp. 515-560). USA: The University of Chicago Press.

Journals

  • Dani, P., Stark, E., Thomas, A. (2018). Commensurability for certain right-angled Coxeter groups and geometric amalgams of free groups. Groups, Geometry and Dynamics, 12(4), 1273-1341. [More Information]
  • Norledge, W., Thomas, A., Vdovina, A. (2018). Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes. Geometriae Dedicata, 193(1), 121-143. [More Information]
  • Fullarton, N., Thomas, A. (2018). Palindromic automorphisms of right-angled Artin groups. Groups, Geometry and Dynamics, 12(3), 865-887. [More Information]
  • Pallavi, D., Thomas, A. (2017). Bowditch's JSJ tree and the quasi-isometry classification of certain Coxeter groups. Journal of Topology, 10(4), 1066-1106. [More Information]
  • Brownlowe, N., Mundey, A., Pask, D., Spielberg, J., Thomas, A. (2017). C*-algebras associated to graphs of groups. Advances in Mathematics, 316, 114-186. [More Information]
  • Giudici, M., Li, C., Seress, A., Thomas, A. (2015). Characterising vertex-star transitive and edge-star transitive graphs. Israel Journal of Mathematics, 205(1), 35-72. [More Information]
  • Capdeboscq, I., Rumynin, D., Thomas, A. (2015). Cocompact lattices on \tilde{A}_n buildings buildings. Glasgow Mathematical Journal, 57(2), 241-256. [More Information]
  • Dani, P., Thomas, A. (2015). Divergence in right-angled Coxeter groups. Transactions of the American Mathematical Society, 367(5), 3549-3577. [More Information]
  • Lam, T., Thomas, A. (2015). Infinite Reduced Words and the Tits Boundary of a Coxeter Group. International Mathematics Research Notices, 2015 (17), 7690-7733. [More Information]
  • Capdeboscq, I., Thomas, A. (2013). Co-compact lattices in complete Kac-Moody groups with Weyl group right-angled or a free product of spherical special subgroups. Mathematical Research Letters, 20(2), 339-358. [More Information]
  • Capdeboscq, I., Thomas, A. (2013). Cocompact lattices in complete kac-moody groups with weyl group right-angled or a free product of spherical special subgroups. Mathematical Research Letters, 20(2), 339-358. [More Information]
  • Kubena, A., Thomas, A. (2012). Density of commensurators for uniform lattices of right-angled buildings. Journal of Group Theory, 15(5), 565-611. [More Information]
  • Thomas, A. (2012). Existence, covolumes and infinite generation of lattices for Davis complexes. Groups, Geometry and Dynamics, 6(4), 765-801. [More Information]
  • Capdeboscq, I., Thomas, A. (2012). Lattices in complete rank 2 Kac-Moody groups. Journal of Pure and Applied Algebra, 216(2012), 1348-1371. [More Information]
  • Futer, D., Thomas, A. (2012). Surface quotients of hyperbolic buildings. International Mathematics Research Notices, 2012 (2), 437-477. [More Information]
  • Thomas, A., Wortman, K. (2011). Infinite generation of non-cocompact lattices on right-angled buildings. Algebraic and Geometric Topology, 11(2), 929-938. [More Information]
  • Lim, S., Thomas, A. (2010). Counting Overlattices for Polyhedral Complexes. Topology Proceedings, 36, 229-247.
  • Lim, S., Thomas, A. (2008). Covering Theory for Complexes of Groups. Journal of Pure and Applied Algebra, 212(7), 1632-1663. [More Information]
  • Thomas, A. (2007). Covolumes of Uniform Lattices Acting on Polyhedral Complexes. Bulletin of the London Mathematical Society, 39, 103-111. [More Information]
  • Thomas, A. (2007). On the set of covolumes of lattices for Fuchsian buildings. Academie des Sciences. Comptes Rendus. Mathematique, 344, 215-218. [More Information]
  • Thomas, A. (2006). Lattices acting on right-angled buildings. Algebraic and Geometric Topology, 6, 1215-1238. [More Information]

Conferences

  • Thomas, A. (2018). Automorphism groups of combinatorial structures. Winter of Disconnectedness - MATRIX, Cham, Switzerland: Springer.

2018

  • Thomas, A. (2018). Automorphism groups of combinatorial structures. Winter of Disconnectedness - MATRIX, Cham, Switzerland: Springer.
  • Dani, P., Stark, E., Thomas, A. (2018). Commensurability for certain right-angled Coxeter groups and geometric amalgams of free groups. Groups, Geometry and Dynamics, 12(4), 1273-1341. [More Information]
  • Thomas, A. (2018). Geometric and Topological Aspects of Coxeter Groups and Buildings. Zurich, Switzerland: European Mathematical Society Publishing House.
  • Norledge, W., Thomas, A., Vdovina, A. (2018). Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes. Geometriae Dedicata, 193(1), 121-143. [More Information]
  • Fullarton, N., Thomas, A. (2018). Palindromic automorphisms of right-angled Artin groups. Groups, Geometry and Dynamics, 12(3), 865-887. [More Information]

2017

  • Pallavi, D., Thomas, A. (2017). Bowditch's JSJ tree and the quasi-isometry classification of certain Coxeter groups. Journal of Topology, 10(4), 1066-1106. [More Information]
  • Brownlowe, N., Mundey, A., Pask, D., Spielberg, J., Thomas, A. (2017). C*-algebras associated to graphs of groups. Advances in Mathematics, 316, 114-186. [More Information]
  • Margalit, D., Thomas, A. (2017). Quasi-isometries. In Matt Clay, Dan Margalit (Eds.), Office Hours with a Geometric Group Theorist, (pp. 125-145). New Jersey: Princeton University Press.

2016

  • Thomas, A. (2016). Lattices in hyperbolic buildings. In C. S. Aravinda, F. T. Farrell, J.-F. Lafont (Eds.), Geometry, Topology, and Dynamics in Negative Curvature, (pp. 345-363). Cambridge: Cambridge University Press. [More Information]

2015

  • Giudici, M., Li, C., Seress, A., Thomas, A. (2015). Characterising vertex-star transitive and edge-star transitive graphs. Israel Journal of Mathematics, 205(1), 35-72. [More Information]
  • Capdeboscq, I., Rumynin, D., Thomas, A. (2015). Cocompact lattices on \tilde{A}_n buildings buildings. Glasgow Mathematical Journal, 57(2), 241-256. [More Information]
  • Dani, P., Thomas, A. (2015). Divergence in right-angled Coxeter groups. Transactions of the American Mathematical Society, 367(5), 3549-3577. [More Information]
  • Lam, T., Thomas, A. (2015). Infinite Reduced Words and the Tits Boundary of a Coxeter Group. International Mathematics Research Notices, 2015 (17), 7690-7733. [More Information]

2013

  • Capdeboscq, I., Thomas, A. (2013). Co-compact lattices in complete Kac-Moody groups with Weyl group right-angled or a free product of spherical special subgroups. Mathematical Research Letters, 20(2), 339-358. [More Information]
  • Capdeboscq, I., Thomas, A. (2013). Cocompact lattices in complete kac-moody groups with weyl group right-angled or a free product of spherical special subgroups. Mathematical Research Letters, 20(2), 339-358. [More Information]

2012

  • Kubena, A., Thomas, A. (2012). Density of commensurators for uniform lattices of right-angled buildings. Journal of Group Theory, 15(5), 565-611. [More Information]
  • Thomas, A. (2012). Existence, covolumes and infinite generation of lattices for Davis complexes. Groups, Geometry and Dynamics, 6(4), 765-801. [More Information]
  • Capdeboscq, I., Thomas, A. (2012). Lattices in complete rank 2 Kac-Moody groups. Journal of Pure and Applied Algebra, 216(2012), 1348-1371. [More Information]
  • Futer, D., Thomas, A. (2012). Surface quotients of hyperbolic buildings. International Mathematics Research Notices, 2012 (2), 437-477. [More Information]

2011

  • Thomas, A., Wortman, K. (2011). Infinite generation of non-cocompact lattices on right-angled buildings. Algebraic and Geometric Topology, 11(2), 929-938. [More Information]
  • Farb, B., Hruska, C., Thomas, A. (2011). Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices. In Benson Farb and David Fisher (Eds.), Geometry, Rigidity, and Group Actions, (pp. 515-560). USA: The University of Chicago Press.

2010

  • Lim, S., Thomas, A. (2010). Counting Overlattices for Polyhedral Complexes. Topology Proceedings, 36, 229-247.

2008

  • Lim, S., Thomas, A. (2008). Covering Theory for Complexes of Groups. Journal of Pure and Applied Algebra, 212(7), 1632-1663. [More Information]

2007

  • Thomas, A. (2007). Covolumes of Uniform Lattices Acting on Polyhedral Complexes. Bulletin of the London Mathematical Society, 39, 103-111. [More Information]
  • Thomas, A. (2007). On the set of covolumes of lattices for Fuchsian buildings. Academie des Sciences. Comptes Rendus. Mathematique, 344, 215-218. [More Information]

2006

  • Thomas, A. (2006). Lattices acting on right-angled buildings. Algebraic and Geometric Topology, 6, 1215-1238. [More Information]
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