2025

• Schillewaert, J., Struyven, K., Thomas, A. (2025). Fixed points for group actions on 2-dimensional affine buildings. Bulletin of the London Mathematical Society, 57(1), 285-301. [More Information]
• Brownlowe, N., Spielberg, J., Thomas, A., Wu, V. (2025). Group actions on multitrees and the $K$-theory of their crossed products. Transactions of the American Mathematical Society, 378(5), 1697-1732. [More Information]

2024

• Milicevic, E., Naqvi, Y., Schwer, P., Thomas, A. (2024). A Gallery Model for Affine Flag Varieties via Chimney Retractions. Transformation Groups, 29, 773-821. [More Information]

2023

• Parreau, A., Leung, H., Schillewaert, J., Thomas, A. (2023). Affine buildings: construction by norms and study of isometries. Innovations in Incidence Geometry, 20(2), 471-517. [More Information]
• Milicevic, E., Schwer, P., Thomas, A. (2023). Affine Deligne-Lusztig varieties and folded galleries governed by chimneys. Annales de l'Institut Fourier, 73(6), 2469-2541. [More Information]
• Milićević, E., Schwer, P., Thomas, A. (2023). Chimney retractions in affine buildings encode orbits in affine flag varieties. Innovations in Incidence Geometry, 20(2), 395-430. [More Information]
• Leung, H., Schillewaert, J., Thomas, A. (2023). Distances between fixed-point sets in metrically complete 2-dimensional Euclidean buildings are realised. Innovations in Incidence Geometry, 20(2-3), 341-351. [More Information]

2019

• Milicevic, E., Schwer, P., Thomas, A. (2019). Dimensions of Affine Deligne–Lusztig Varieties: A New Approach Via Labeled Folded Alcove Walks and Root Operators. Memoirs of the American Mathematical Society, 261(1260), 1-113. [More Information]

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. [More Information]

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). 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]