Tullia Dymarz
Associate 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


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.

2017-2018: Sabbatical
Fall 2016: MSRI
June 2016-2021: NSF CAREER


Conferences

Junior Geometry and Topology in the Midwest Oct 13 2018, UW Madison


Spring Topology and Dynamical Systems ConferenceNew Jersey City University Jersey City, NJ
AWM Research Symposium April 7-9 University of California, Los Angeles
Junior Geometry and Topology in the Midwest April 22 2017, UW Madison
Young Geometric Group Theory in the Midwest November 1, 2014, UW Madison.

Students

Micky Steinberg
Carolyn Abbott (Ph.D 2017)
Meng-Che "Turbo" Ho (Ph.D 2017)


Outreach

I am the Faculty mentor for Girls Math Night Out! and the Directed Reading program.


Teaching

Math 751 Algebraic Topology I Fall 2018


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).