17 citations · 33 across the 15 of their papers we have counts for
17 papers
From Trees to Tripods: Proof of for Artin groups with -type spherical parabolics
Nima Hoda, Jingyin Huang
We reduce the -conjecture for all Artin groups with tree Coxeter diagrams to properties of Artin groups with tripod-shaped Coxeter diagrams. Combining this reduction theore…
Strong shortcuts, generating sets, and isometric circles in asymptotic cones
Nima Hoda, Timothy Riley
We show that whether loops can be shortcut in a group's Cayley graph depends on the choice of finite generating set. Our example is the direct product of two rank-2 free groups and…
The quadric flat torus theorem
Nima Hoda, Zachary Munro
We prove a flat torus theorem for quadric complexes. In particular, we show that if a non-cyclic free abelian group acts metrically properly on a quadric complex , then $G \…
7-location, weak systolicity and isoperimetry
Nima Hoda, Ioana-Claudia Lazăr
-location is a local combinatorial condition for flag simplicial complexes introduced by Osajda. Osajda showed that simply connected 8-located locally 5-large complexes are hype…
Trees of Graphs as Boundaries of Hyperbolic Groups
Nima Hoda, Jacek Świątkowski
We characterize those 1-ended word hyperbolic groups whose Gromov boundaries are homeomorphic to trees of graphs (i.e. to inverse limits of graphs that have particularly simple fin…
metrics on cell complexes
Thomas Haettel, Nima Hoda, Harry Petyt
Motivated by the observation that groups can be effectively studied using metric spaces modelled on , , and geometry, we consider cell complexes equip…
Asymptotic cones of snowflake groups and the strong shortcut property
Christopher H. Cashen, Nima Hoda, Daniel J. Woodhouse
We exhibit an infinite family of snowflake groups all of whose asymptotic cones are simply connected. Our groups have neither polynomial growth nor quadratic Dehn function, the two…
Crystallographic Helly Groups
Nima Hoda
We prove that asymptotic cones of Helly graphs are countably hyperconvex. We use this to show that virtually nilpotent Helly groups are virtually abelian and to characterize virtua…
Strongly Shortcut Spaces
Nima Hoda
We define the strong shortcut property for rough geodesic metric spaces, generalizing the notion of strongly shortcut graphs. We show that the strong shortcut property is a rough s…
Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut
Nima Hoda, Suraj Krishna M S
We show that a group that is hyperbolic relative to strongly shortcut groups is itself strongly shortcut, thus obtaining new examples of strongly shortcut groups. The proof relies…
Coarse injectivity, hierarchical hyperbolicity, and semihyperbolicity
Thomas Haettel, Nima Hoda, Harry Petyt
We relate three classes of nonpositively curved metric spaces: hierarchically hyperbolic spaces, coarsely injective spaces, and strongly shortcut spaces. We show that every hierarc…
Residually Finite Tubular Groups
Nima Hoda, Daniel T. Wise, Daniel J. Woodhouse
A tubular group is a finite graph of groups with vertex groups and edge groups. We characterize residually finite tubular groups: is residually…
Shortcut Graphs and Groups
Nima Hoda
We introduce shortcut graphs and groups. Shortcut graphs are graphs in which cycles cannot embed without metric distortion. Shortcut groups are groups which act properly and cocomp…
Bisimplicial complexes and asphericity
Nima Hoda
We present a discrete Morse-theoretic method for proving that a regular CW complex is homeomorphic to a sphere. We use this method to define bisimplices, the cells of a class of re…
Two-Dimensional Systolic Complexes Satisfy Property A
Nima Hoda, Damian Osajda
We show that 2-dimensional systolic complexes are quasi-isometric to quadric complexes with flat intervals. We use this fact along with the weight function of Brodzki, Campbell, Gu…
Quadric Complexes
Nima Hoda
Quadric complexes are square complexes satisfying a certain combinatorial nonpositive curvature condition. These complexes generalize 2-dimensional CAT(0) cube complexes and are a…
Visibility-Monotonic Polygon Deflation
Prosenjit Bose, Vida Dujmović, Nima Hoda +1
A deflated polygon is a polygon with no visibility crossings. We answer a question posed by Devadoss et al. (2012) by presenting a polygon that cannot be deformed via continuous vi…