Dr. Eduardo Martinez-Pedroza

Research articles

Articles and preprints are available at ArXiv

  1. (with Hadi Bigdely) Relative Dehn fuctions, hyperbolically embedded subgroups and combination theorems. Glasgow Mathematical Journal (2023)

  2. (with Jonathan Lee and Juan Felipe Rodriguez-Quinche) Coarse geometry of the Cops and robber game. Discrete Mathematics. (2023)

  3. (with Shivam Arora) Topological groups with a compact open subgroup, Coherence and Relative hyperbolicity. Journal of Algebra (2023)

  4. (with Sam Hughes) Hyperbolically embedded subgroups and quasi-isometries of pairs. Canadian Mathematical Bulletin (Accepted, 2023)

  5. (with Sam Hughes and Luis Jorge Sánchez Saldaña) A survey on quasi-isometries of pairs: invariants and rigidity. (Submitted)

  6. (with Luis Jorge Sánchez Saldaña) Bowditch Taut Spectrum and dimensions of groups. Michigan Mathematical Journal (2023)

  7. (with Sam Hughes, Luis Jorge Sánchez Saldaña and Ashot Mynasian) Quasi-isometry invariance of relative filling functions. Groups, Geometry, and Dynamics. (In Press)

  8. (with Shivam Arora) Fixed Point Sets in Diagrammatically Reducible Complexes. (Submitted)

  9. (with Farhan Rashid) A Note on Hyperbolically Embedded Subgroups. Communications in Algebra. (2021)

  10. (with Luis Jorge Sánchez Saldaña) Quasi-isometric rigidity of subgroups and Filtered ends. Algebraic & Geometric Topology. (2022)

  11. (with Shivam Arora, Ged Corob Cook, and Ilaria Castellano) Subgroups, Hyperbolicity and Cohomological Dimension for Totally Disconnected Locally Compact Groups. Journal of Topology and Analysis. (2023)

  12. (with Luis Jorge Sánchez Saldaña) Brown's Criterion and Classifying Spaces for Families. Journal of Pure and Applied Algebra. (2020)

  13. (with Tomasz Prytuła) Coarse geometry of the fire retaining property and group splittings. Geometriae Dedicata. (2023)

  14. (with Shivam Arora) Subgroups of Word Hyperbolic Groups in Rational Dimension 2. Groups, Geometry, and Dynamics. (2021)

  15. (with Joshua W. Fleming) Finiteness of Homological Filling Functions. Involve. (2018)

  16. Subgroups of Relatively Hyperbolic Groups of Bredon Cohomological Dimension 2. Journal of Group Theory. (2019)

  17. A note on the relation between Hartnell's firefighter problem and growth of groups. Séminaire de Théorie Spectrale et Géometrie (Grenoble) (2015-2016)

  18. (with Piotr Przytycki) Dismantlable classifying space for the family of parabolic subgroups of a relatively hyperbolic group. J. Inst. Math. Jussieu. (2019)

  19. (with D.Dyer and B.Thorne) The Coarse Geometry of Hartnell's Firefighter Problem on Infinite Graphs. Discrete Mathematics. (2017)

  20. A note on fine graphs and homological isoperimetric inequalities. Canadian Mathematical Bulletin. (2016)

  21. (with Gaelan Hanlon) A Subgroup Theorem for Homological Dehn Functions. Groups, Geometry, and Dynamics. (2016)

  22. (with Gaelan Hanlon) Lifting Group Actions, Equivariant Towers and Non-positively Curved Groups. Algebraic & Geometric Topology, (2014)

  23. (with A. Alaee and H. Kunduri) On maximal slices of five-dimensional black holes. Class. Quantum Grav. (2014)

  24. (with Daniel Wise) Coherence and negative sectional curvature in complexes of groups. Michigan Math. J. (2013)

  25. (with Alessandro Sisto) Virtual amalgamation of relatively quasiconvex subgroups. Algebraic & Geometric Topology, (2012)

  26. On Quasiconvexity and Relatively Hyperbolic Structures on Groups. Geometriae Dedicata, (2012)

  27. (with Daniel Wise) Local Quasiconvexity of Groups acting on Small Cancellation Complexes. Journal of Pure and Applied Algebra, (2011)

  28. (with Daniel Wise) Relative Quasiconvexity using Fine Hyperbolic Graphs. Algebraic & Geometric Topology, (2011)

  29. (with Jason F. Manning) Separation of Relatively Quasiconvex Subgroups. Pacific Journal of Mathematics, (2010)

  30. Combination of Quasiconvex Subgroups of Relatively Hyperbolic Groups. Groups, Geometry, and Dynamics, (2009)

My research work is supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).

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