Murat Sağlam
About
I am a postdoctoral researcher at Universität zu Köln (partially supported by CRC/TRR 191), in the research group of Hansjörg Geiges. 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
On contact mapping classes of prequantizations, arXiv:2306.17729 (2023) (joint with S. Allout)
Bott-integrable Reeb flows on 3-manifolds, J. London Math. Soc., 109: e12859. https://doi.org/10.1112/jlms.12859 (2024) (joint with H. Geiges and J. Hedicke )
Why bootstrapping for J–holomorphic curves fails in C^k, Anal.Math.Phys. 13, 11 (2023) (joint with H. Geiges and K. Zehmisch)
Entropy collapse versus entropy rigidity for Reeb and Finsler flows, Selecta Mathematica (2023) 29:67 (joint with A. Abbondandolo, M. R. R. Alves and F. Schlenk)
Reeb flows with small contact volume and large return time to a global section, to appear Journal of Topology and Analysis (2021)
Contact forms with large systolic ratio in arbitrary dimensions, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol.XXII (2021), 1265-1308, arXiv: 1806.019671806.019
Holomorphic curves in the symplectizations of lens spaces: an elementary approach, Münster J. of Math. 15 (2022), 389–440
Talks
Here is a talk that I gave in "Heidelberg Symplectic Topics Seminar" on classification of lens spaces via holomorphic curves.
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
SS 21: Differentialtopologie (as the TA)
WS 21/22: Seminar über Algebraische Topologie (as the instructor, joint with H. Geiges)
SS 22: Holomorphe Scheiben (as the TA)
WS 22/23: Dynamische Systeme (as the instructor)
WS 23/24: Elementare Differentialgeometrie (as the instructor)
Contact
msaglam "at" math.uni-koeln.de
Department Mathematik/Informatik der Universität zu Köln
Abteilung Mathematik
Weyertal 86-90 Raum 207
50931 Köln