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Picture of Clemens Saemann

Clemens Saemann

Dr.
Pronouns
He / Him
Status
Postdoctoral Research Associate
Contact form
https://clemenssaemann.wordpress.com/
CV
+44 1865 615313
ORCID iD
https://orcid.org/0000-0002-4155-2317
Research groups
  • Geometry
  • Mathematical Physics

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent publications
Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds
Beran, T Saemann, C Journal of London Mathematical Society (20 Feb 2023)
Hyperbolic angles in Lorentzian length spaces and timelike curvature
bounds
Beran, T Sämann, C (19 Apr 2022) http://arxiv.org/abs/2204.09491v3
A Lorentzian analog for Hausdorff dimension and measure
McCann, R Sämann, C (08 Oct 2021) http://arxiv.org/abs/2110.04386v2
Lorentz meets Lipschitz
Lange, C Lytchak, A Sämann, C (18 Sep 2020) http://arxiv.org/abs/2009.08834v2
The future is not always open.
Grant, J Kunzinger, M Sämann, C Steinbauer, R Letters in mathematical physics volume 110 issue 1 83-103 (12 Jan 2020)
Major / recent publications

Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds with Tobias Beran, 70 pages, MSC classes: 28A75, 51K10, 53C23, 53C50, 53B30, 53C80, 83C99; submitted

A Lorentzian analog for Hausdorff dimension and measure with Robert McCann; Pure and Applied Analysis Vol. 4 (2022), No. 2, 367–400; MSC classes: 28A75, 51K10, 53C23, 53C50, 53B30, 53C80, 83C99; preprint available here

Lorentz meets Lipschitz with Christian Lange and Alexander Lytchak; Advances in Theoretical and Mathematical Physics Volume 25, Number 8, 2141–2170, 2021; MSC classes: 53B30, 34A36, 83C99; preprint available here

Generalized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems with Stephanie Alexander, Melanie Graf, and Michael Kunzinger, 55 pages, MSC classes: 51K10, 53C23, 53C50, 53B30, 53C80; Comm. Anal. Geom., to appear

The future is not always open with James D.E. Grant, Michael Kunzinger and Roland Steinbauer; Lett. Math. Phys. 110, 83–103 (2020), MSC classes: 53C50, 83C75; preprint available here

Cut-and-paste for impulsive gravitational waves with Λ: The geometric picture with Jiří Podolský, Robert Švarc and Roland Steinbauer; Phys. Rev. D 100, 024040 (2019), 12 pages, MSC classes: 83C15, 83C35, 83C10; preprint available here

Inextendibility of spacetimes and Lorentzian length spaces with James D.E. Grant and Michael Kunzinger, Annals of Global Analysis and Geometry 55, no. 1, 133–147 (2019), 15 pages; MSC classes: 53C23, 53C50, 53B30, 53C80, 83C75; preprint available here

Lorentzian length spaces with Michael Kunzinger, Annals of Global Analysis and Geometry 54, no. 3, 399-447 (2018), 49 pages; MSC classes: 53C23, 53C50, 53B30, 53C80; preprint available here

On geodesics in low regularity with Roland Steinbauer, Journal of Physics: Conference Series 968 012010 (2018), 14 pages; MSC classes: 53B30, 53C22, 34A36, 83C99; preprint available here

Geodesics in nonexpanding impulsive gravitational waves with Λ, II with Roland Steinbauer, Journal of Mathematical Physics 58, 112503 (2017), 18 pages; featured as “Editor’s pick” (JMP, December 2017); MSC classes: 83C15, 83C35, 46F30, 34A36; preprint available here

Penrose junction conditions extended: impulsive waves with gyratons with Jiří Podolský, Robert Švarc and Roland Steinbauer, Phys. Rev. D 96, 064043 (2017), 11 pages; MSC classes: 83C15, 83C35, 83C10; preprint available here

Completeness of general pp-wave spacetimes and their impulsive limit with Roland Steinbauer and Robert Švarc, Class. Quantum Grav. 33 (2016) 215006, 27 pages; MSC classes: 83C15, 83C35, 83C10, 34A36; preprint available here

The global uniqueness and $C^1$-regularity of geodesics in expanding impulsive gravitational waves with Jiří Podolský, Roland Steinbauer and Robert Švarc, Class. Quantum Grav. 33 (2016) 195010, 23 pages; MSC classes: 83C15, 83C35, 83C10, 34A36; preprint available here

Geodesics in nonexpanding impulsive gravitational waves with Λ, Part I with Roland Steinbauer, Alexander Lecke and Jiří Podolský, Class. Quantum Grav. 33 (2016) 115002, 33 pages; MSC classes: 83C15, 83C35, 46F10, 34A36; preprint available here

Global hyperbolicity for spacetimes with continuous metrics, Annales Henri Poincaré, 17(6), 1429-1455 (2016), 27 pages; MSC classes: 53B30, 83C99; preprint available here

Research interests

Lorentzian geometry, General Relativitiy, metric (measure) geometry

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