Tullia Dymarz
Assistant Professor
509 Van Vleck Hall
Department of Mathematics
University of Wisconsin, Madison

To reach me by email please email me at

dymarz@math.wisc.edu

CV


Research

My research interests include geometric group theory, especially quasi-isometric rigidity, large scale geometry of finitely generated groups, metric geometry of solvable groups and quasiconformal analysis.

Fall 2016: MSRI

June 2016-2021: NSF CAREER


Students

Carolyn Abbott
Meng-Che "Turbo" Ho


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 Multi-Variable Calculus and Linear Algebra Spring 2017


Math 376 Topics in Multi-Variable Calculus and Linear Algebra Spring 2016
Math 851 Topics in Geometry Spring 2016

Math 375 Topics in Multi-Variable 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]
(with M. Kelly, S. Li and A. Lukyanenko) Preprint (2016)

-A matrix model for random nilpotent groups [pdf]
(with K.Delp and A. Schaffer-Cohen) Preprint (2016)

-Non-rectifiable Delone sets in SOL and other solvable groups [pdf]
(with A.Navas) To appear in IUMJ (2016)

-Day's fixed point theorem, Group Cohomology and Quasi-isometric rigidity [pdf]
(with X.Xie) To appear in Groups, Geometry and Dynamics (2016)

-Bilipschitz versus quasi-isometric equivalence for higher rank lamplighter groups. [pdf]
(with I.Peng and J.Taback) New York Journal of Mathematics 21 (2015), 129-150.

-Envelopes of certain solvable groups [pdf]
Comment. Math. Helv. 90 (2015), 195-224.

-Quasisymmetric maps of boundaries of amenable hyperbolic groups [pdf]
IUMJ Indiana University Mathematics Journal 63 (2014), 329--343.

-Bilipschitz maps of boundaries of certain negatively curved homogeneous spaces [pdf]
(with I. Peng) Geometriae Dedicata volume 152 (2011)

- Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups [pdf]
Duke Mathematical Journal, volume 154, 3 (2010), 509-526

- Large scale geometry of certain solvable groups [pdf]
Geometric and Functional Analysis, volume 19, 6 (2009), 1650-1687

- Bijective Quasi-Isometries of Amenable Groups [ps] [dvi] [pdf]
Geometric methods in group theory, 181-188, Contemp. Math., 372, Amer. Math. Soc., Providence, RI, (2005).