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 2024: Sabbatical
Conferences Organized
WiGGD 2025 June 1520, 2025, BIRS Banff, Alberta, Canada
Students
Daniel Levitin Postdocs
YuChan Chang (20192020)
Outreach I am the Faculty mentor for Girls Math Night Out! and the Directed Reading program. Service
Graduate Admissions chair (2018Present)
Teaching
Math 621 Introduction to Manifolds Fall 2023 Math 621 Introduction to Manifolds (Analysis III) Fall 2022 Math 552 Elemntary Geometry and Algebraic Topology Spring 2023 Math 851 Topics in Geometric Group Theory Fall 2021 Math 561 Differential Geometry Spring 2022 Math 341 Fall 2020 Math 761 Spring 2021 Math 765 Differential Geometry Fall 2019 Math 431 Introduction to the Theory of Probability Spring 2020
Math 542 Modern Algebra 2 Spring 2019 Math 751 Algebraic Topology I Fall 2018
Math 851 Intoduction to Lie groups Spring 2017 Math 376 Topics in MultiVariable Calculus and Linear Algebra 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 Pattern preserving quasiisometries of lamplighter groups (with B. Liu, N. Macura and R. MorrisWright) [pdf] (2024).
A Tukiatype theorem for nilpotent Lie groups and quasiisometric rigidity of solvable groups
(with D. Fisher and X. Xie)
[arXiv]
 A fibered Tukia theorem for nilpotent Lie groups
[arXiv]
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]
