Research

My research is partially supported by NSF grant DMS-2137611.

PAPERS:

• Eliot Bongiovanni, Pritam Ghosh, Funda Gültepe and Mark Hagen.  Characterizing hierarchically hyperbolic free by cyclic  groups. Arxiv Preprint.

• Pritam Ghosh and Funda Gültepe.  A combination type construction of convex  cocompactness in Out(F), submitted.

• Pritam Ghosh and Funda Gültepe. Relative hyperbolicity of free extension  of free groups. Arxiv Preprint, to appear in Trans. Amer. Math. Soc.

•  Pritam Ghosh and Funda Gültepe. Geometry of extensions of free group via automorphisms with fixed points on the complex of free factors. Arxiv  Preprint, to appear in Algebr. Geom. Topol.

• Funda Gültepe and Hugo Parlier. The coarse geometry of hexagon decomposition   graphs. Arxiv Preprint, to appear in Canadian Journal of Mathematics.

•  Funda Gültepe, Christopher J. Leininger and Witsarut Pho-on. A universal Cannon-Thurston map and the surviving curve complex. Trans. Amer. Math. Soc. Ser. B 9 (2022), 99-143.

•  Funda Gültepe and Christopher J. Leininger. An arc graph distance formula for the  flip graph. Proc. Amer. Math. Soc., 145(7): 3179-3184, 2017.

•  Funda Gültepe. Fully irreducible automorphisms of the free group via Dehn twisting in #_n(S^2 xS^1). Algebr. Geom. Topol., 17(3): 1375-1405, 2017.

•  Funda Gültepe. Normal tori in #_n(S^2xS^1). Topology Appl., 160(8):953-959, 2013