Dr. Eduardo Martinez-Pedroza

Research articles

Articles and preprints are available at ArXiv

  1. (with Luis Jorge Sánchez Saldaña) Bowditch Taut Spectrum and dimensions of groups. (Submitted)

  2. (with Sam Hughes and Luis Jorge Sánchez Saldaña) Quasi-isometry invariance of relative filling functions. (Submitted)

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

  4. (with Farhan Rashid) A Note on Hyperbolically Embedded Subgroups. Communications in Algebra. (In Press)

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

  6. (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. (Online ready)

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

  8. (with Tomasz Prytuła) Coarse geometry of the fire retaining property and group splittings. Geometriae Dedicata. (In Press)

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

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

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

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

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

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

  15. A note on fine graphs and homological isoperimetric inequalities. Canadian Mathematical Bulletin. 59 (2016)

  16. (with Gaelan Hanlon) A Subgroup Theorem for Homological Dehn Functions. Groups, Geometry, and Dynamics. 10 (2016)

  17. (with Gaelan Hanlon) Lifting Group Actions, Equivariant Towers and Non-positively Curved Groups. Algebraic & Geometric Topology, 14 (2014)

  18. (with A. Alaee and H. Kunduri) On maximal slices of five-dimensional black holes. Class. Quantum Grav. 31 (2014)

  19. (with Daniel Wise) Coherence and negative sectional curvature in complexes of groups. Michigan Math. J. 62 (2013)

  20. (with Alessandro Sisto) Virtual amalgamation of relatively quasiconvex subgroups. Algebraic & Geometric Topology, 12 (2012)

  21. On Quasiconvexity and Relatively Hyperbolic Structures on Groups. Geometriae Dedicata, 157 no.1, (2012)

  22. (with Daniel Wise) Local Quasiconvexity of Groups acting on Small Cancellation Complexes. Journal of Pure and Applied Algebra, 215 no. 10 (2011)

  23. (with Daniel Wise) Relative Quasiconvexity using Fine Hyperbolic Graphs. Algebraic & Geometric Topology, 11 no. 1 (2011)

  24. (with Jason F. Manning) Separation of Relatively Quasiconvex Subgroups. Pacific Journal of Mathematics, 244 no. 2 (2010)

  25. Combination of Quasiconvex Subgroups of Relatively Hyperbolic Groups. Groups, Geometry, and Dynamics, 3 no. 2 (2009)

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

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