Funda Gültepe

Postdoctoral Researcher
Mathematics Research Unit
University of Luxembourg
6 Avenue de la Fonte
Esch-Sur-Alzette, LUXEMBOURG

Office: MNO
Phone: (+352) 46 66 44 5743
Fax:   (+352) 46 66 44 35743


I am a postdoc at the University of Luxembourg and I am a member of the research group of Hugo Parlier. I am also a member of the interdiciplinary ANR/FNR research project SoSANR .
Before, I was a visiting assistant professor at UIUC and my mentors were Chris Leininger and Ilya Kapovich . I also spent a semester at the MSRI as a postdoc, and there my mentor was Ursula Hamenstädt.

On August 2018 I will join the faculty of Department of Mathematics and Statistics at the University of Toledo, Ohio.


My research interests are in intersections of low dimensional topology and geometric group theory with emphasis on the free group, outer automorphism group Out(F_n) of free group, mapping class groups and right angled Artin groups.
More specifically, I am interested in the geometry of Out(F_n) and dynamical properties of the outer automorphisms, subgroup structure of Out(F_n), geometry of the Outer Space and the study of the simplicial complexes associated with Out(F_n).

Above is a two copies of an embedded torus in the universal cover of double handlebody (#_n(S^2 x S^1)), and the images of purple intersection disk under a Dehn twist along this torus. The middle picture is after twisting once, the last picture is the image after twisting twice.

My research papers:

  • Normal tori in #_n( S^2xS^1), Topology Appl., 160(8):953--959,2013 , also in arxiv.
  • Fully irreducible automorphisms of the free group via Dehn twisting in #_k( S^2xS^1), Algebr. Geom. Topol., 17(3): 1375--1405, 2017, updated preprint.
  • The video of this talk.
  • An arc graph distance formula for the flip graph , with Chris Leininger . Proc. Amer. Math. Soc., 145(7): 3179--3184, 2017. Preprint in arxiv.
  • A combination type construction of fully irreducibles, preprint: pdf
  • Hyperbolicity and relative hyperbolicity of Aut(F_n) complexes, with Ursula Hamenstädt (in preparation).
  • Mapping class group of closed surfaces via hexagon graph, with Hugo Parlier, in progress
  • A Cannon-Thurston map for boundary for the surviving curve complex of a punctured surface, with Christopher J. Leininger and Witsarut Pho-on, in progress

  • A Cannon-Thurston map for boundary for the surviving curve complex of a punctured surface, Iberoamerican Congress of Geometry, Vallodoid, Spain. January 21-24.
  • A distance formula in Out(F_n), Weihnachtsworkshop, University of Saarlandes, Germany. December 18-20, 2017.
  • A distance formula in Out(F_n), CMS winter meeting 2017, University of Waterloo. December 8-11, 2017.
  • IAS women and math program, research seminar talk, May 2017.
    Video of the talk
  • Lightning talk, Georgia Institute of Technology, December 11, 2016
  • Lightning talk, Georgia Institute of Technology, December 2015
  • GGD day, Purdue,Nov. 21 2015
  • Geometric and Probabilistic methods in group theory and dynamical systems conference, Texas A&M, College Station, November 9-12, 2015
  • Slides from the talk
  • Spring topology and Dynamics conference, Bowling Green, April 2015
  • Slides from the talk
  • Young Geometric Group theory in the Midwest Workshop,
  • University of Wisconsin, Madison, November 1, 2014.
  • Essential tori and subgroups of Out(F_n) generated by twists.
  • G3 conference, South Padre Island, Texas March 21-24, 2013.
  • Essential Tori and subgroups of Out(F_n)
  • Cool down week for automorphisms of free groups, CRM, Barcelona. November 19-23, 2012.
  • Essential Tori and Dehn Twists in Outer Space
  • Redbud Topology Conference, Norman, Oklahoma November 3-4, 2012.
  • Dehn Twists in Outer Space
  • Topology Students workshop, Atlanta, Georgia June 10-15, 2012.
  • Normal spheres and Normal Tori in #_n( S^2xS^1)
  • OSU Workshop on the Torelli group, Mapping class group, and Out(Fn), Columbus, Ohio May 2-6, 2011.

  • Hyperbolic Lunch talk, University of Toronto, Canada. December 13, 2017.
  • Geometry and Topology seminar, University of Luxembourg. November 29, 2017.
  • Geometry and Topology seminar, Middle East Technical University, Turkey. November 6, 2017.
  • University of Toledo, Colloquium, April 2017
  • Rice University topology Seminar, April 2017
  • Constructing generic elements of $\Out(F_n)$. MSRI, Post-doc seminar. October 14, 2016.
  • An arc graph distance formula for the flip graph, Geometry Seminar, Indiana University Bloomington, IN, April 7, 2016
  • Bogazici University , Colloquium, June 2015
  • University of Oklahoma Geometry and topology seminar talk, March 2015
  • UIUC Group Theory seminar talk,
  • Spring 2015. video of the talk.
  • UIUC Group Theory seminar talk,
  • Fall 2014.
  • Subgroups of Out(F_n) generated by two Dehn twist automorphisms. Brown University, January 30, 2013


  • My partner is also a mathematician: James Broda
  • Non-profit Turkish organization aims at teaching mathematics and philosophy to students (elementary and high school as well as graduate) in a village in beautiful Aagean coast of Turkey: Nesin Mathematics Village
  • Turkish Mathematical Society
  • Association for women in mathematics
  • Association for Turkish women in mathematics