Dr. Daniel Rosen
Name |
Dr. Daniel Rosen |
Address |
TU Dortmund
Fakultät für Mathematik
Lehrstuhl LSIX
Vogelpothsweg 87
44227 Dortmund
|
Room |
M 613 |
Telephone |
(0231) 755-3088
(0231) 755-3063 (secretariat)
|
Telefax |
(0231) 755-5219 |
E-mail |
daniel.rosen[at]math.tu-dortmund.de |
Personal webpage
More information can be found on my
webpage.
Research
Research interests
- Symplectic and contact geometry
- Convex and stochastic geometry
Peer-reviewed articles
- Relative growth rate and contact Banach-Mazur distance. Jun Zhang, Daniel Rosen (2021). In: Geometriae Dedicata, Volume 215, pp. 1–30. [DOI] [arXiv]
- Caustic-free regions for billiards on surfaces of constant curvature. Dan Florentin, Yaron Ostrover, Daniel Rosen (2021). In: Journal of Geometry and Physics, Volume 168. [DOI] [arXiv]
- Random inscribed polytopes in projective geometries. Florian Besau, Daniel Rosen, Christoph Thäle (2021). In: Mathematische Annalen, Volume 381, Issue 3–4, pp. 1345–1372. [DOI] [arXiv]
- Topological persistence in geometry and analysis. Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang (2020). American Mathematical Society, Providence, RI. [DOI] [arXiv]
- Chekanov's dichotomy in contact topology. Daniel Rosen, Jun Zhang (2020). In: Mathematical Research Letters, Volume 27, Issue 4, pp. 1165–1193. [DOI] [arXiv]
- Embeddings of free groups into asymptotic cones of Hamiltonian diffeomorphisms. Daniel Alvarez-Gavela, Victoria Kaminker, Asaf Kislev, Konstantin Kliakhandler, Andrei Pavlichenko, Lorenzo Rigolli, Daniel Rosen, Ood Shabtai, Bret Stevenson, Jun Zhang (2019). In: Journal of Topology and Analysis, Volume 11, Issue 2, pp. 467–498. [DOI] [arXiv]
- Duality of caustics in Minkowski billiards. Shiri Artstein-Avidan, Dan Florentin, Yaron Ostrover, Daniel Rosen (2018). In: Nonlinearity, Volume 31, Issue 4. [DOI] [arXiv]
- On Sandon-type metrics for contactomorphism group. Maia Fraser, Leonid Polterovich, Daniel Rosen (2018). In: Annales Mathématiques du Québec, Volume 42, Issue 2, pp. 191–214. [DOI] [arXiv]
- Function Theory on Symplectic Manifolds. Leonid Polterovich, Daniel Rosen (2014). American Mathematical Society, Providence, RI. [DOI]
- Poisson brackets, quasi-states and symplectic integrators. Michael Entov, Leonid Polterovich, Daniel Rosen (2010). In: Discrete and Continuous Dynamical Systems, Volume 28, Issue 4, pp. 1455–1468. [DOI] [arXiv]
Preprints
- A quantitative central limit theorem for Poisson horospheres in high dimensions. Zakhar Kabluchko, Daniel Rosen, Christoph Thäle (2023). [arXiv]
- Fluctuations of $\lambda$-geodesic Poisson hyperplanes in hyperbolic space. Zakhar Kabluchko, Daniel Rosen, Christoph Thäle (2022). [arXiv]
- Limit theory of sparse random geometric graphs in high dimensions. Gilles Bonnet, Christian Hirsch, Daniel Rosen, Daniel Willhalm (2022). [arXiv]
Theses
- On Geometric and Dynamical Measurements in Symplectic and Contact Geometry. Daniel Rosen (2018). PhD thesis, Tel-Aviv University.
Talks
- Random convex hulls in non-Euclidean geometries. Bernoulli-IMS One World Symposium 2020, Vitrual, August 24–28.
- Caustics in Euclidean and Minkowski billiards. Mathematisches Kolloquium, Universität Jena, January 16.
- Geometries on groups of symplectic and contact transformations. Symplectix, IHP Paris, November 8.
- Geometries on groups of symplectic and contact transformations. Oberseminar Geometrie, LMU München, May 21.
- Sandon-type metrics on contactomorphism groups. Séminaire de Géométrie et Systèmes Dynamiques, Université de Neuchâtel, April 26.
- Embedding free groups into Asymptotic cones of Hamiltonian diffeomorphisms. Colloque du Mardi, Université de Neuchâtel, April 24.
- Duality of Caustics in Minkowski Billiards. Recent advances in Hamiltonian dynamics and symplectic topology, University of Padova, February 12–16.
Teaching
Summer term 22/23
Previous teaching
Short CV
- Research assistant at the TU Dortmund since 2023
- Research assistant at the Ruhr0Universitz Bochum 2018–2023
- PhD 2018 at the University of Tel-Aviv
Kontakt
Adresse
TU Dortmund
Fakultät für Mathematik
Lehrstuhl IX
Vogelpothsweg 87
44227 Dortmund
Sie finden uns auf dem sechsten Stock des Mathetowers.
Sekretariat
Janine Textor (Raum M 620)
Tel.: (0231) 755-3063
Fax: (0231) 755-5219
Mail: janine.textor@tu-dortmund.de
Bürozeiten:
Di. und Do. von 8 bis 12 Uhr
Home Office:
Mo. und Fr. von 8 bis 12 Uhr
Weiteres