I am a Norbert Wiener Fellow at the Department of Mathematics at Tufts University.
My area of research is in geometric group theory and generalized nonpositive curvature. I am broadly interested in groups acting on and sharing characteristics with metric and combinatorial spaces of nonpositive curvature.
Previously, I was an NSERC H.C. Wang Visiting Assistant Professor at the Department of Mathematics at Cornell University. Before that, I was a postdoctoral researcher at the Department of Mathematics and their Applications at the École Normale Supérieure of Paris. Before that, I was an assistant professor at the Institute of Mathematics at the University of Wrocław. I completed my doctoral studies in 2019 at the Department of Mathematics and Statistics of McGill University under the supervision of Daniel Wise. For more details, please see my CV.
Articles
In print or accepted for publication:
- C. H. Cashen, N. Hoda, D. J. Woodhouse, Asymptotic cones of snowflake groups and the strong shortcut property, Algebr. Geom. Topol., to appear, 67 pages.
- N. Hoda, Strongly shortcut spaces, Algebr. Geom. Topol. 24 (2024), no. 6, 3291–3325.
- N. Hoda, Crystallographic Helly Groups, Bull. Lond. Math. Soc., 55 (2023), no. 6, 2991–3011.
- T. Haettel, N. Hoda, H. Petyt, Coarse injectivity, hierarchical hyperbolicity, and semihyperbolicity, Geom. Topol. 27 (2023), no. 4, 1587–1633.
- N. Hoda, S. Krishna M S, Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut, Math. Proc. Cambridge Philos. Soc. 175 (2023), no. 2, 367–380.
- N. Hoda, Shortcut Graphs and Groups, Trans. Amer. Math. Soc. 375 (2022), no. 4, 2417–2458.
- N. Hoda, Quadric Complexes, Michigan Math. J. 69 (2020), no. 2, 241–271.
- N. Hoda, D. Wise, D. Woodhouse, Residually Finite Tubular Groups, Proc. Roy. Soc. Edinburgh Sect. A 150 (2019), no. 6, 2937–2951
- N. Hoda, D. Osajda, Two-Dimensional Systolic Complexes Satisfy Property A, Internat. J. Algebra Comput. 28 (2018), no. 7, 1247–1254.
- P. Bose, V. Dujmović, N. Hoda, P. Morin, Visibility-Monotonic Polygon Deflation. Contrib. Discrete Math. 10 (2015), no. 1, 1–21.
Preprints:
- N. Hoda, T. Riley, Strong shortcuts, generating sets, and isometric circles in asymptotic cones, arXiv:2410.21482 (2024), 6 pages.
- N. Hoda, Z. Munro, The quadric flat torus theorem, arXiv:2410.09905 (2024), 15 pages.
- N. Hoda, I.-C. Lazăr, 7-location, weak systolicity and isoperimetry, arXiv:2409.00612 (2024), 15 pages.
- N. Hoda, J. Świątkowski, Trees of Graphs as Boundaries of Hyperbolic Groups, arXiv:2312.15827 (2023), 84 pages.
- T. Haettel, N. Hoda, H. Petyt, ℓp metrics on cell complexes, arXiv:2302.03801 (2023), 36 pages.
- N. Hoda, Bisimplicial Complexes and Asphericity, arXiv:1804.04630 (2018), 19 pages.
Videos of Talks
- Minicourse: Notions of nonpositive curvature and groups: abstract, videos: part 1, part 2, part 3, part 4
- A flat torus theorem for quadric complexes: video
- Strongly shortcut spaces: abstract, video, slides
- Hierarchical hyperbolicity, coarse Helly spaces and the strong shortcut property: abstract, video
- Constructing bisimplices: abstract+video, slides
- Constructing bisimplices (WoG): video
- Shortcut Graphs and Groups: abstract+video, video