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Department of Mathematics

Photo: UHH/MIN/Christina Brandt

PD Dr. Alexander Lohse

lohse-180x240

Photo: Noah Lohse

Lecturer

Address

University of Hamburg
Faculty of Mathematics, Informatics and Natural Sciences
Department of Mathematics
AM – Applied Mathematics
Bundesstraße 55
20146 Hamburg

Office

Room: 205

Office hours

by appointment

Contact

Tel: +49 40 42838-5153
ORCID: 0000-0002-9834-181X

Research interests

  • Ordinary Differential Equations
  • Dynamical Systems
  • Stability and Attraction
  • Heteroclinic Dynamics

I am an Editor for the Journal of Nonlinear Science, member of the MIN Faculty Council (Fakultätsrat) of the University of Hamburg, co-initiator of the Lowlands Dynamics Seminar (with VU Amsterdam) as well as a member of the Scientific Committee for the Hanseatic Dynamical Systems Days.

 

News and Upcoming Events

  • Transfer Project: Digitale Lernwerkstatt Arithmetik im Grundschullehramt (DLAG), UHH Transferfonds, Nov 2024 -- Juli 2025
  • 12th Hanseatic Dynamical Systems Day: 10 October, 2025, U Hamburg

Short CV

since 2020: Lecturer/Researcher (permanent), Department of Mathematics, UHH

2019/2020: Interim Professor (W2), Department of Mathematics, Universität Bremen

2017–2019: Postdoc, Department of Mathematics, UHH

2016–2017: Interim Professor (W1), Department of Mathematics, UHH

2015: Postdoc, Universidade do Porto, Portugal

2014/2015: Postdoc, Department of Mathematics, UHH

2010–2014: PhD Student, Department of Mathematics, UHH

2005–2010: Studies of Mathematics, UHH

Teaching

Please see the German version of my web page for further information.

Publications

Mathematical Publications

  1. S. Castro, A. Lohse: Complete heteroclinic networks derived from graphs consisting of two cycles, preprint, 2025
  2. C. Bick, A. Lohse: How many points converge to a heteroclinic network in an aperiodic way?, preprint, 2024
  3. S. Castro, A. Lohse: Arbitrarily large heteroclinic networks in fixed low-dimensional state space, Chaos: An Interdisciplinary Journal of Nonlinear Science 33, 2023
  4. A. Lohse: Stability indices of non-hyperbolic equilibria in two-dimensional systems of ODEs, Dynamical Systems 37 (4), 699–709, 2022
  5. S. Castro, A. Lohse: A hybrid heteroclinic cycle, Examples and Counterexamples 2, 100071, 2022
  6. P. Ashwin, S. Castro, A. Lohse: Almost complete and equable heteroclinic networks, Journal of Nonlinear Science 30, 1–22, 2020
  7. M. Carvalho, A. Lohse, A. Rodrigues: Moduli of stability for heteroclinic cycles of periodic solutions, Discrete and Continuous Dynamical Systems 39 (11), 6541–6564, 2019
  8. C. Bick, A. Lohse: Heteroclinic Dynamics of Localized Frequency Synchrony: Stability of Heteroclinic Cycles and Networks, Journal of Nonlinear Science 29, 2571–2600, 2019
  9. O. Podvigina, A. Lohse: Simple heteroclinic networks in ℝ4, Nonlinearity 32 (9), 3269–3293, 2019
  10. P. Chossat, A. Lohse, O. Podvigina: Pseudo-simple heteroclinic cycles in ℝ4, Physica D 372, 1–21, 2018
  11. A. Lohse, A. Rodrigues: Boundary crisis for degenerate singular cycles, Nonlinearity 30 (6), 2211–2245, 2017
  12. S. Castro, A. Lohse: Construction of heteroclinic networks in ℝ4, Nonlinearity 29 (12), 3677–3695, 2016
  13. S. Castro, A. Lohse: Switching in heteroclinic networks, SIAM Journal on Applied Dynamical Systems 15 (2), 1085–1103, 2016
  14. A. Lohse: Stability of heteroclinic cycles in transverse bifurcations, Physica D 310, 95–103, 2015
  15. A. Lohse: Unstable attractors: existence and stability indices, Dynamical Systems 30 (3), 324–332, 2015
  16. S. Castro, A. Lohse: Stability in simple heteroclinic networks in ℝ4, Dynamical Systems 29 (4), 451–481, 2014

Hochschuldidaktische Publikationen

  1. V. Bach, H. Barbas, I. Gasser, F. Konieczny, A. Lohse, R. Seiler: Formatives Assessment in Mathe-Kursen für Erstsemester: Digitalisierung eine Chance?, Tagungsband des Hanse-Kolloqiums 2018, Band 6 der Reihe Schriften zur Hochschuldidaktik Mathematik, WTM-Verlag, 2019.
  2. oHMint-Team: Projekt ZZ600. oHMint­Pilot: Höhere Mathematik für MINT-Studierende – Onlinekurs und Lernplattform – Basiseinheit Differentialrechnung, in: Projekte 2017/2018. Berichte aus der Förderphase am Universitätskolleg Digital. Sonderband zum Fachmagazin Synergie, 62–65, Universität Hamburg, 2019
  3. H. Barbas, A. Lohse: oHMint: Ein online Mathematik-Kurs für WIMINT-Studiengänge, Kolleg-Bote Ausgabe 089, S.8, Universität Hamburg, 2019
  4. H. Barbas, I. Gasser, F. Konieczny, A. Lohse, R. Seiler: oHMint: Höhere Mathematik für MINT-Studierende – Onlinekurs und Lernplattform, in: Digitalisierung und Hochschulentwicklung – Proceedings zur 26. Tagung der Gesellschaft für Medien in der Wissenschaft e.V., 200–205, Waxmann-Verlag, 2018
  5. H. Barbas, I. Gasser, F. Konieczny, A. Lohse, R. Seiler: oHMint: Online Higher Mathematics for MINT Students – An Online Mathematics Course and Learning Platform, in: Proceedings of the 46th SEFI Annual Conference (Copenhagen, Denmark), 573–580, 2018
  6. H. Barbas, F. Konieczny, A. Lohse, T. Schramm: oHMint: An Online Mathematics Course and Learning Platform for MINT Students, Tagungsband 24. Symposium Simulationstechnik, ASIM 2018 (HafenCity Universität Hamburg), 50–54, 2018

Theses

  1. Habilitation: Classification and Stability of Low-Dimensional Heteroclinic Structures, 2023
  2. Dissertation: Attraction properties and non-asymptotic stability of simple heteroclinic cycles and networks in ℝ4, June 2014
  3. Diploma Thesis: The GEOFLOW-Experiment as a Spherical Bifurcation Problem, July 2010

Meteorology/Technical reports

  1. K. Bigalke et al.: Synthetische Ausbreitungsklassenzeitreihen (SynAKTerm) und Ausbreitungsklassenstatistiken (SynAKS) in der Version 3.0, 2024
  2. K. Bigalke, A. Lohse: Bewertung der Qualität synthetischer Ausbreitungsklassenstatistiken (SynAKS) anhand von VDI-Richtlinie 3783 Blatt 20, Immissionsschutz 03, 20–27, 2018
  3. K. Bigalke, M. Rau, K. Anke, F. Hüftle, A. Lohse: Synthetisch repräsentative Ausbreitungsklassenzeitreihen SynRepAKTerm für Deutschland, Berechnung–Qualitätssicherung–Anwendung, 2013
  4. K. Bigalke, M. Rau, K. Anke, F. Hüftle, A. Lohse: Synthetische Ausbreitungsklassenstatistiken SynAKS für Deutschland, Berechnung–Qualitätssicherung–Anwendung, 2013

Publications (registered in FIS)