Universitat Wien

Christopher H. Cashen

picture of me
Fakultät für Mathematik
Universität Wien
Oskar-Morgenstern-Platz 1
1090 Wien, Österreich
Email: christopher DOT cashen AT univie.ac.at
Office: 2.130

I am a postdoc in the Geometric and Analytic Group Theory group at the University of Vienna.

Curriculum Vitae


  1. Quasi-isometries Between Tubular Groups, Groups, Geometry and Dynamics 4 (2010) no. 3, 473--516. doi:10.4171/GGD/92, arXiv:0707.1502
  2. Line Patterns in Free Groups (w/ Nataša Macura), Geometry & Topology, 15 (2011), no. 3, 1419--1475. doi:10.2140/gt.2011.15.1419, arXiv:1006.2123
  3. Virtual Geometricity is Rare (w/ Jason F. Manning), LMS Journal of Computation and Mathematics, 18 (2015) no. 1, 444-455. doi:10.1112/S1461157015000108, arXiv:1407.7834
  4. Growth Tight Actions (w/ Goulnara N. Arzhantseva and Jing Tao), Pacific Journal of Mathematics, in press. arXiv:1401.0499
  5. Growth Tight Actions of Product Groups (w/ Jing Tao), Groups, Geometry and Dynamics, in press. arXiv:1404.4335
  6. Splitting Line Patterns in Free Groups, submitted, (2010). arXiv:1009.2492
  7. Mapping tori of free group automorphisms, and the Bieri-Neumann-Strebel invariant of graphs of groups (w/ Gilbert Levitt), submitted, (2014). arXiv:1412.8582
  8. Quasi-isometry Invariants from Decorated Trees of Cylinders of Two-Ended JSJ Decompositions, preprint, (2014). arXiv:1403.2865
  9. Boundary Homeomorphisms and Quasi-isometries Between Hyperbolic Groups with Two-Ended Splittings (w/ Alexandre Martin), in preparation, (2015).
  10. Mapping Tori of Polynomially Growing Free Group Automorphisms (w/ Nataša Macura), in preparation, (2015).

Notes on the arXiv

  1. Computing the Maximum Slope Invariant in Tubular Groups, preprint, (2009). arXiv:1001.0086
  2. A Geometric Proof of the Structure Theorem for Cyclic Splittings of Free Groups, preprint, (2012). arXiv:1208:3652

Other Stuff

Slides from Line Patterns talk, Joint Meetings 2011


I am not currently teaching. Visit my teaching page from Utah instead.


I gratefully acknowledge support from:
Logo of
   the Austrian Science Fund (FWF) (2014-2016) Austrian Science Fund (FWF): M 1717-N25, Lise Meitner Fellowship
(2012-2014) European Research Council (ERC) grant of Goulnara ARZHANTSEVA, "ANALYTIC" grant agreement n°259527.
(2011-2012) French National Research Agency (ANR) grant: ANR-2010-BLAN-116-01 GGAA
(2008-2011) USA National Science Foundation (NSF) VIGRE grant to the University of Utah.
This page created and maintained by christopher DOT cashen AT univie.ac.at
Last updated  April 20, 2015.