Funda Gültepe
Assistant Professor
Department of Mathematics and Statistics
University of Toledo
2801 W. Bancroft St.
Toledo, Ohio
Office: UH 3016
e-mail: Funda.Gultepe@utoledo.edu
CV
I am an Assistant Professor at the University of Toledo, department of Mathematics and Statistics.
I am also the executive director of MathCorps UToledo
and of Super Saturdays: Data Science program for high school students.
I am one of the organizers of Buckeye metric geometry workshop as well.
TEACHING:
This semester (Spring 2024) I'm teaching Abstract Algebra (Math 3320) and Topology
RESEARCH:
My research is partially supported by NSF 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 Data Science for social justice.
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 universal Cannon-Thurston map and the surviving curve complex, with Christopher J. Leininger and Witsarut Pho-on, Trans. Amer. Math. Soc. Ser. B 9 (2022), 99–143.
The coarse geometry of hexagon decomposition graphs, with Hugo Parlier, arxiv preprint, submittted
Hyperbolicity and relative hyperbolicity of free extensions of free groups, with Pritam Ghosh. Arxiv Preprint, submitted.
|
LINKS
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
|