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CV

Research Interests:
mapping class groups, discrete geometry, low-dimensional topology, geometric group theory



Here is a summary of all my papers and preprints listed below

Preprints:

Self-similar surfaces: involutions and perfection, with Jing Tao

On stable commutator length of non-filling curves in surfaces, with Max Forester

Arithmetic Quotients of the Automorphism Group of a Right-Angled Artin Group, to appear in Groups, Geometry, and Dynamics

Ultrarigid Periodic Frameworks , preprint with Louis Theran

Papers:
Simple closed curves, finite covers of surfaces, and power subgroups of Out(Fn) , with Andrew Putman, published in Duke Mathematical Journal (2019) arxiv

Pseudo-Anosov dilatations and the Johnson filtration , with Andrew Putman, published in Groups, Geometry, and Dynamics (2016) arxiv


Frameworks with forced symmetry I: Reflections and rotations , with Louis Theran, published in Discrete & Computational Geometry (2015) arxiv

Arithmetic quotients of the mapping class group , published in GAFA (2015) with Fritz Grunewald, Michael Larsen, and Alexander Lubotzky arxiv

Frameworks with forced symmetry II: Orientation-preserving crystallographic groups , published in Geom. Ded. (2014), with Louis Theran arxiv

Generic rigidity with forced symmetry and sparse colored graphs , chapter in Rigidity and Symmetry Fields Institute Communications Volume 70, 2014. arxiv

Topological designs , published in Geom. Ded. (2014), with Igor Rivin and Louis Theran arxiv

Generic combinatorial rigidity of periodic frameworks , published in Advances in Math. (2013), with Louis Theran arxiv

On Genericity of Pseudo-Anosovs in the Torelli Group , published in IMRN (2013), with Juan Souto arxiv

On the self-intersections of curves deep in the lower central series of a surface group , published in Geom. Ded. (2010), with Andrew Putman arxiv

Pseudo-Anosov homeomorphisms and the lower central series of a surface group , published in Algebraic and Geometric Topology (2007) arxiv