Dr. Florian Noethen

Research associate

Address

University of Hamburg

Faculty of Mathematics, Informatics and Natural Sciences

Department of Mathematics

AM – Applied Mathematics

Contact

Email: florian.noethen"AT"uni-hamburg.de

ORCID: 0000-0001-9609-8206

Research interests

ordinary differential equations
dynamical systems
asymptotics and stability of non-stationary motion
numeric of ergodic theory
Lyapunov exponents and covariant Lyapunov vectors

I am currently a postdoc in subproject M1 of the Collaborative Research Center TRR 181 in which I investigate numerically and analytically the long-term behavior of dynamical systems.

Short CV

2021–: Postdoc (Collaborative Research Center TRR 181), UHH
2020–2021: Postdoc (department of mathematics), UHH
2018: Research stay at UNSW in Sydney, Australia
2016–2020: PhD in mathematics (Collaborative Research Center TRR 181), UHH
2011–2016: B.Sc. and M.Sc. in mathematics, UHH

Responsibilities

2022—2023: Hiring committee for W2/W3 position on "data-based methods"
2021—: Postdoc representative in steering committee of Research Training Group ENERGY
2020—2023: Postdoc representative in steering committee of Collaborative Research Center TRR 181
2020—2022: Representative of academic staff at the mathematics department council
2018—2020: Founding member of GAMM Nachwuchsgruppe Hamburg
2017—2020: Member of SIAM Student Chapter Hamburg
2017—2020: Member of Lothar Collatz Center for Computing in Science
2017—2020: Member of School of Integrated Climate and Earth System Sciences
2016—: Member of Collaborative Research Center TRR 181

Publications

Peer-Reviewed

F. Noethen (2022): Well-Separating Common Complements for Sequences of Subspaces of the Same Codimension are Generic in Hilbert Spaces. Analysis Mathematica, Vol. 48, pp. 827–847.
published version, read-only, preprint
F. Noethen (2021): Computing Covariant Lyapunov Vectors in Hilbert spaces. Journal of Computational Dynamics, Vol. 8(3), pp. 325–352.
published version, preprint
F. Noethen (2019): A projector-based convergence proof of the Ginelli algorithm for covariant Lyapunov vectors. Physica D: Nonlinear Phenomena, Vol. 396, pp. 18–34.
published version, preprint

Reports

F. Noethen (2023): Stepsize Variations for Lyapunov Exponents to Counter Persistent Errors. In Oberwolfach Report 2023, 31: Transport and Scale Interactions in Geophysical Flows.
published version

Preprints

F. Noethen (2024): Strong Fast Invertibility and Lyapunov Exponents for Linear Systems.
preprint, (code of old version)

Dissertation

F. Noethen (2019): Computing covariant Lyapunov vectors – A convergence analysis of Ginelli’s algorithm.
published version

Teaching

Sommer Semester 2021

Course: Mathematical Analysis (Research Training Group ENERGY of TRR 181)

Winter Semester 2020/21

Exercise: Analysis I (Teaching Export to TUHH)

Sommer Semester 2020

Exercise: Ordinary Differential Equations and Dynamical Systems

Winter Semester 2015/16

Exercise: Elementary Number Theory

Winter Semester 2013/14

Exercise: Linear Algebra and Analytical Geometry I

Winter Semester 2012/13

Exercise: Software Development I