72 citations · 167 across the 19 of their papers we have counts for
19 papers
Word length versus lower central series depth for surface groups and RAAGs
Justin Malestein, Andrew Putman
For surface groups and right-angled Artin groups, we prove lower bounds on the shortest word in the generators representing a nontrivial element of the kth term of the lower centra…
On stable commutator length of non-filling curves in surfaces
Max Forester, Justin Malestein
We give a new proof of rationality of stable commutator length (scl) of certain elements in surface groups: those represented by curves that do not fill the surface. Such elements…
Self-similar surfaces: involutions and perfection
Justin Malestein, Jing Tao
We investigate the problem of when big mapping class groups are generated by involutions. Restricting our attention to the class of self-similar surfaces, which are surfaces with s…
Arithmetic Quotients of the Automorphism Group of a Right-Angled Artin Group
Justin Malestein
It was previously shown by Grunewald and Lubotzky that the automorphism group of a free group, , has a large collection of virtual arithmetic quotients. Analogous…
Simple closed curves, finite covers of surfaces, and power subgroups of Out(F_n)
Justin Malestein, Andrew Putman
We construct examples of finite covers of punctured surfaces where the first rational homology is not spanned by lifts of simple closed curves. More generally, for any set $\mathca…
Ultrarigid periodic frameworks
Justin Malestein, Louis Theran
We give an algebraic characterization of when a -dimensional periodic framework has no non-trivial, symmetry preserving, motion for any choice of periodicity lattice. Our condit…
Pseudo-Anosov dilatations and the Johnson filtration
Justin Malestein, Andrew Putman
Answering a question of Farb-Leininger-Margalit, we give explicit lower bounds for the dilatations of pseudo-Anosov mapping classes lying in the kth term of the Johnson filtration…
Arithmetic quotients of the mapping class group
Fritz Grunewald, Michael Larsen, Alexander Lubotzky +1
To every -irreducible representation of a finite group , there corresponds a simple factor of with an involution . To this pair , we associate an ari…
Frameworks with forced symmetry II: Orientation-preserving crystallographic groups
Justin Malestein, Louis Theran
We give a combinatorial characterization of minimally rigid planar frameworks with orientation-preserving crystallographic symmetry, under the constraint of forced symmetry. The ma…
Frameworks with forced symmetry I: Reflections and rotations
Justin Malestein, Louis Theran
We give a combinatorial characterization of generic frameworks that are minimally rigid under the additional constraint of maintaining symmetry with respect to a finite order rotat…
Generic rigidity of reflection frameworks
Justin Malestein, Louis Theran
We give a combinatorial characterization of generic minimally rigid reflection frameworks. The main new idea is to study a pair of direction networks on the same graph such that on…
Generic rigidity with forced symmetry and sparse colored graphs
Justin Malestein, Louis Theran
We review some recent results in the generic rigidity theory of planar frameworks with forced symmetry, giving a uniform treatment to the topic. We also give new combinatorial char…
Generic rigidity of frameworks with orientation-preserving crystallographic symmetry
Justin Malestein, Louis Theran
We extend our generic rigidity theory for periodic frameworks in the plane to frameworks with a broader class of crystallographic symmetry. Along the way we introduce a new class o…
Rigid components in fixed-lattice and cone frameworks
Matthew Berardi, Brent Heeringa, Justin Malestein +1
We study the fundamental algorithmic rigidity problems for generic frameworks periodic with respect to a fixed lattice or a finite-order rotation in the plane. For fixed-lattice fr…
On genericity of pseudo-Anosovs in the Torelli group
Justin Malestein, Juan Souto
We show that, for any (symmetric) finite generating set of the Torelli group of a closed surface, the probability that a random word is not pseudo-Anosov decays exponentially in te…
Topological Designs
Justin Malestein, Igor Rivin, Louis Theran
We give an exponential upper and a quadratic lower bound on the number of pairwise non-isotopic simple closed curves can be placed on a closed surface of genus g such that any two…
Generic combinatorial rigidity of periodic frameworks
Justin Malestein, Louis Theran
We give a combinatorial characterization of generic minimal rigidity for planar periodic frameworks. The characterization is a true analogue of the Maxwell-Laman Theorem from rigid…
On the self-intersections of curves deep in the lower central series of a surface group
Justin Malestein, Andrew Putman
We give various estimates of the minimal number of self-intersections of a nontrivial element of the kth term of the lower central series and derived series of the fundamental grou…
Pseudo-Anosov homeomorphisms and the lower central series of a surface group
Justin Malestein
Let Gamma_k be the lower central series of a surface group Gamma of a compact surface S with one boundary component. A simple question to ponder is whether a mapping class of S can…