S. Öykü Yurttaş
Associate Professor
Department of Mathematics
Science Faculty, Dicle University, 21280,
Diyarbakır, Turkey
(+90) 412-2488666- (3004)
saadet (dot) yurttas (at) dicle (dot) edu (dot) tr
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Research Interests: Low dimensional topology, mapping class groups, topological dynamical systems; in particular dynamics of surface homeomorphisms and algorithms for multicurves on surfaces via global coordinates such as train tracks, Dynnikov coordinates, Dehn-Thurston coordinates. CV
Quadratic-time computations for pseudo-Anosov mapping classes, w/Dan Margalit, Balázs Strenner and Sam Taylor, Preprint, 2024.
Detecting Free Products in the Mapping Class Group of Punctured Disks via Dynnikov Coordinates, w/Elif Dalyan, Elif Medetogulları, Preprint, 2024.
A recipe for the dilatation of families of pseudo-Anosov braids, Essays in Geometry, dedicated to Norbert A'Campo" (A. Papadopoulos, ed.), European Mathematical Society Press, Berlin, 2023, 111-126.
Curves on non--orientable surfaces and crosscap transpositions, Mathematics, 10(9)(2022), 1-33.,
Moves on curves on non-orientable surfaces, w/Ferihe Atalan, Rocky Mountain Journal of Mathematics, 52(6) (2022), 1957-1967.
Applications of the Dynnikov coordinate system on the boundary of Teichmüller space, Advanced Lectures in Mathematics, ALM 49, Teichmüller theory and its impact, Advanced Lectures in Mathematics, 2022.
Intersections of multicurves from Dynnikov coordinates, w/Toby Hall, Bulletin of Australian Mathematical Society, 98 (1) (2018), 149-158.
Integral laminations on non-orientable surfaces, w/Mehmetcik Pamuk, Turkish Journal of Mathematics, 42 (2018), 69-82.
Counting components of an integral lamination, w/Toby Hall, Manuscripta Mathematica, 153 (2017), 263-278.
Dynnikov and train track transition matrices of pseudo-Anosov braids, Discrete and Continuous Dynamical Systems-A, 36 (1) (2016), 541-570.
Geometric intersection of curves on punctured disks, Journal of the Mathematical Society of Japan, 65 (4) (2013), 1153-1168.
On the topological entropy of families of braids, w/Toby Hall, Topology and its Applications, 156 (8) (2009), 1554-1565.
Action of mapping class groups in terms of global coordinates, w/ Daniele Alessandrini (preprint)
Other Written Work:
Dynnikov koordinatları ve π1-train-track grafikleri w/Umut Güngörür, Academic Platform Journal of Engineering and Science, 7(2), 316-323, 2019 (TR-DIZIN)
Pseudo-Anosov örgülerin topolojik entropisi ve çekici matrisler, w/Arife Atay, Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 11 (3), 2278-2289, 2021 (TR-DIZIN)
Intersections of multicurves on small genus non–orientable surfaces, Journal of Mathematical Sciences and Modelling, 4(3), 110-116, 2021 (TR-DIZIN)
Projects:
Geometric intersection of curves on non-orientable surfaces, 2020 (TUBITAK 3001, Project no: 117F282, PI)
Train tracks and the topological entropy of braids, 2020 (DUBAP, Proje no: FEN.17.021, PI)
Algorithms for mapping classes on non-orientable surfaces, 2024- (Tübitak 1001, Proje no: 124F147, PI)
Awards/Scholarships:
Council of Higher Education of The Republic of Turkey, Ph.D Scholarship, January 2007-July 2011
The Scientific and Technological Research Council of Turkey, International Postdoctoral Research Scholarship, August 2014-August 2015
Fulbright Scholar, January 2022-July 2022
The Scientific and Technological Research Council of Turkey, International Postdoctoral Research Scholarship, October 2023-January 2024
Max-Planck Institute for Mathematics Guest Program, August 1, 2024-September 30, 2024.
Other:
Plenary speaker at the 36.National Mathematics Symposium , Amasya Üniversitesi, 9–12 Eyl 2024
I was the scientific coordinator of IMAGINARY in Diyarbakir.
I was in the organizing committee of the 5th Workshop of Association of Turkish Women in Maths.
I was in the organizing committee of the Workshop Curves, Mapping Class Groups and their Applications.
Translation of ''Introduction to Metric and Topological spaces'' by Wilson A. Sutherland.
Here is my MATHEMATICAL LINEAGE.
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