Research Focus
Topology and geometric group theory
My primary area of research is in geometric group theory. In particular, I am interested in boundaries of relatively hyperbolic and CAT(0) groups, JSJ-splittings of groups, right-angled Coxeter groups, and the topology at infinity of finitely presented groups.
Publications
Haulmark M., Hruska G. C., On canonical splittings of relatively hyperbolic groups, To appear, Israel Journal of Mathematics (31 pages)
Haulmark M., Schreve K., Minimal volume entropy of RAAG’s, Bulletin of the LMS 55 (2023), no. 2, 879-885 (6 pages)
Dani P., Haulmark M., Walsh G., Right-angled Coxeter groups with non-planar boundary, Groups, Geometry, and Dynamics 17 (2023) 127-155 (28 pages)
Haulmark M., Mihalik M., On relatively hyperbolic groups with semistable peripherals, International Journal of Algebra and Computation 32 (2022) no. 4, 753-783
Haulmark M., Mihalik M., Piecewise visual, linearly connected metrics on boundaries of relatively hyperbolic groups, J. of Topology and Analysis Vol 0 (2021) no. 0, 1-47
Haulmark M., Nguyen H., Tran H.C., On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups, International Journal of Algebra and Computation 30 (2020) no.3 501-53
Haulmark M., Hruska G. C., Sayathe B., Non-hyperbolic groups with Menger curve boundary, L’Enseignement Mathématique (2) 65 (2019) 207-220
Haulmark M., Local cut points and splittings of relatively hyperbolic groups, Algebraic & Geometric Topology, 19-6 (2019), 2795–2836
Haulmark M., Boundary classification and 2-ended splittings of groups with isolated flats, Journal of Topology, 11(3):645-665 (2018)