Murat Sağlam

About

I am a researcher at Universität zu Köln in the research group of  Hansjörg Geiges. My research is funded by DFG through my project:  "Reeb flows with symmetries: dynamics and topology" (Eigenestelle, GZ: SA 5534/1-1). I  finished my PhD at Universität Leipzig/MPI MIS in 2017  under the supervision of Matthias Schwarz.  I am mainly interested in topological and dynamical aspects of contact and symplectic manifolds. 

Research

Publications and preprints

• Bott-integrability of overtwisted contact structures, arXiv: 2501.05784  , 2025 (joint with H. Geiges and  J. Hedicke)

• On contact mapping classes of prequantizations,  Algebr. Geom. Topol., 2024 (joint with S. Allout)

• Bott-integrable Reeb flows on 3-manifolds,  J. London Math. Soc., 2024 (joint with H. Geiges and J. Hedicke )

• Reeb flows with small contact volume and large return time to a global section,  Journal of Topology and Analysis, 2024 

• Why bootstrapping for J–holomorphic curves fails in C^k,  Anal.Math.Phys., 2023 (joint with H. Geiges and K. Zehmisch)

• Entropy collapse versus entropy rigidity for Reeb and Finsler flows, Selecta Mathematica, 2023 (joint with A. Abbondandolo, M. R. R. Alves and F. Schlenk)

• Holomorphic curves in the symplectizations of lens spaces: an elementary approach, Münster J. of Math., 2022

• Contact forms with large systolic ratio in arbitrary dimensions, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5),  20211806.019

Lecture notes

• Einführung in Dynamische Systeme, pdf

Talks

• "Classification of lens spaces via holomorphic curves", Heidelberg Symplectic Topics Seminar

• "On the integrable Reeb flows", 20th IFS Seminar

Misc.

• Here is a review (in Turkish) on A Singular Mathematical Promenade  by Etienne Ghys, published at Matematik Dünyası (2019 - 1)

121rXiv:2103.01144

Teaching

WS 24/25: Dynamische Systeme (as the lecturer)

WS 23/24: Elementare Differentialgeometrie (as the  lecturer)

WS 22/23: Dynamische Systeme (as the lecturer)

SS 22: Holomorphe Scheiben (as the TA)

WS 21/22: Seminar über Algebraische Topologie  (as the instructor, joint with H. Geiges)

Contact

msaglam "at" math.uni-koeln.de

Department Mathematik/Informatik der Universität zu Köln

Abteilung Mathematik

Weyertal 86-90 Raum 207

50931 Köln