Research My research interests include geometric group theory, especially quasiisometric rigidity, large scale geometry of finitely generated groups, metric geometry of solvable groups and quasiconformal analysis. Fall 2016: MSRI June 20162021: NSF CAREER
Students
Carolyn Abbott
Outreach I am the Faculty mentor for Girls Math Night Out! and the Directed Reading program.
Teaching
Math 851 Intoduction to Lie groups Spring 2017 Math 376 Topics in MultiVariable Calculus and Linear Algebra Spring 2016 Math 851 Topics in Geometry Spring 2016 Math 375 Topics in MultiVariable Calculus and Linear Algebra Fall 2015 Math 542 Modern Algebra Fall 2015 Math 752 Algebraic Topology 2 Spring 2015 Math 171 Calc with Algebra & Trig.1 Fall 2014 Math 217 Calc with Algebra & Trig. 2 Spring 2014 Math 171 Calc with Algebra & Trig. 1 Fall 2013 Math 751 Algebraic Topology 1 Fall 2013 Math 217 Calculus with Algebra & Trig. 2 Spring 2013 Math 747 Lie Algebras Fall 2012 Math 847 Topics in Algebra  Intro to Geometric Group Theory Spring 2012 Math 441 Introduction to Modern Algebra Fall 2011 Math 340 Elementary Matrix and Linear Algebra Fall 2011 Papers
Separated nets in nilpotent groups
[pdf]
A matrix model for random nilpotent groups
[pdf]
Nonrectifiable Delone sets in SOL and other solvable groups
[pdf]
Day's fixed point theorem, Group Cohomology and Quasiisometric rigidity
[pdf]
Bilipschitz versus quasiisometric equivalence for higher rank lamplighter groups.
[pdf]
Envelopes of certain solvable groups
[pdf]
Quasisymmetric maps of boundaries of amenable hyperbolic groups
[pdf]
Bilipschitz maps of boundaries of certain negatively curved homogeneous
spaces
[pdf]
 Bilipschitz equivalence is not equivalent to quasiisometric equivalence
for finitely generated groups
[pdf]
 Large scale geometry of certain solvable groups
[pdf]
 Bijective QuasiIsometries of
Amenable Groups
[ps]
[dvi]
[pdf]
