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

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.

Spring 2025: Sabbatical
May 2023-Present: Group actions and dynamics NSF RTG
June 2016-2023: NSF CAREER
2017-2018: Sabbatical
Fall 2016: MSRI

WiGGD 2025 June 15-20, 2025, BIRS Banff, Alberta, Canada
WiGGD 2023 July 16-22 2023, near Yellow Stone National Park, Ashton Idaho
WiGGD 2021 Aug 1-7 2021, Glacier National Park, Montana
Junior Geometry and Topology in the Midwest Oct 26 2019, UW Madison
Junior Geometry and Topology in the Midwest Oct 13 2018, UW Madison
Spring Topology and Dynamical Systems Conference 2017 New Jersey City University Jersey City, NJ
AWM Research Symposium April 7-9 2017, 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.

Daniel Levitin
Andrew Krenz
Yandi Wu (Ph.D 2024)
Micky Steinberg (Ph.D 2021)
Carolyn Abbott (Ph.D 2017)
Meng-Che "Turbo" Ho (Ph.D 2017)

Postdocs

Yu-Chan Chang (2019-2020)
Nathan Fisher (2021-2024)

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

Service

Graduate Admissions chair (2018-2024)
Graduate Faculty Executive Committe (2021-Present)
Physical Sciences Divisional Committee (2018-2021)

Math 621 Introduction to Manifolds Fall 2023

-Pattern preserving quasi-isometries of lamplighter groups (with B. Liu, N. Macura and R. Morris-Wright) [pdf] (2024).

-A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups (with D. Fisher and X. Xie) [arXiv]
Submitted. (2023)

- A fibered Tukia theorem for nilpotent Lie groups [arXiv]
(with D. Fisher and X. Xie) Annales Fennici Mathematici, (2023) no.48(2), 653-680.

-Separated nets in nilpotent groups [pdf]
(with M. Kelly, S. Li and A. Lukyanenko) Indiana Univ. Math. J. 67 (2018) no. 3

-A matrix model for random nilpotent groups [pdf]
(with K.Delp and A. Schaffer-Cohen) Int. Math. Res. Not. IMRN (2019) no.1

-Non-rectifiable Delone sets in SOL and other solvable groups [pdf]
(with A.Navas) Inidiana Univ. Math. J. 67 (2018) no. 1

-Day's fixed point theorem, Group Cohomology and Quasi-isometric rigidity [pdf]
(with X.Xie) Groups Geom.Dyn. 10 (2016) no. 4

-Bilipschitz versus quasi-isometric equivalence for higher rank lamplighter groups. [pdf]
(with I.Peng and J.Taback) New York J. Math. 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).