Funda Gültepe Assistant Professor
Department of Mathematics and Statistics
University of Toledo
2801 W. Bancroft St.
Office: UH 3016
I am an Assistant Professor at the University of Toledo, department of Mathematics and Statistics.
Previously, I was a postdoc at the University of Luxembourg as a member of the research group of Hugo Parlier.
Between 2013-2017 I was a visiting assistant professor at UIUC where my mentors were Chris Leininger and Ilya Kapovich
I also spent a semester (Fall 2016) at the MSRI as a postdoc, and there my mentor was
On the left you see me
in one of the wonderful California redwood forests.
This semester Xiangdong Xie
and I are organizing
Toledo-BGSU joint seminar in Geometry and Topology .
This semester (Fall 2021) I'm teaching differential equations (Math 2860) and Topology (Math 5450)
My research is supported by NSF research grant DMS-2137611.
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. I am also interested in computational problems related to optimization on surfaces.
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
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
A universal Cannon-Thurston map and the surviving curve complex, with Christopher J. Leininger and Witsarut Pho-on, submitted: arxiv preprint
Mapping class group of closed surfaces via hexagon graph, with Hugo Parlier, (in preparation)
Hyperbolicity and relative hyperbolicity of Aut(F_n) complexes, with Ursula Hamenstädt (in progress).
INVITED CONFERENCE TALKS:
AMS sectional meeting, Binghamton, October 12-13, 2019 (Upcoming)
Conference on Outer Space, University of Bielefeld, Germany, September 2019. (Upcoming)
A geometric construction for the iwip automorphisms of the free group, Joint Mathematical Meeting, Baltimore, January 2019.
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.
Cannon-Thurston maps, space filling curves and boundaries of curve complexes, Colloquium, Bowling Green State University, April 2019 (INVITED)
Algebra Seminar, University of Toledo, November 22 and 29, 2018.
Differential Equations and nonlinear analysis seminar, University of Toledo. November 22 and 29, 2018.
Mini course: Introduction to mapping class group I \&II, ANRSoS kickstart meeting, Nancy, France. May 2-3, 2018.
Hyperbolic Lunch talk, University of Toronto, Canada. December 13, 2017. (INVITED)
Geometry and Topology seminar, University of Luxembourg. November 29, 2017.(INVITED)
Geometry and Topology seminar, Middle East Technical University, Turkey. November 6, 2017.(INVITED)
University of Toledo, Colloquium, April 2017 (INVITED)
Rice University topology Seminar, April 2017 (INVITED)
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 (INVITED)
Bogazici University , Colloquium, June 2015 (INVITED)
University of Oklahoma Geometry and topology seminar talk, March 2015 (INVITED)
UIUC Group Theory seminar talk,
Spring 2015. video of the talk.
UIUC Group Theory seminar talk,
Subgroups of Out(F_n) generated by two Dehn twist automorphisms.
Brown University, January 30, 2013 (INVITED)
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