M. Sc. Mehmet-Emin Erbay

Kontakt

G.15.27

+49 (0) 202 439 - 2671

erbay[at]uni-wuppertal.de

Positionsbeschreibung

Scientific employee since 04.2022

Team

Workgroup Functionalanalysis

Faculty of Mathematics und Natural Sciences

Research Programs

Publications

Erbay, M., Jacob, B. and Reis, T. (2025). Differential-algebraic system nodes
arxiv:2511.17035
Erbay, M., Jacob, B. and Reis, T. (2025). Integrated Semigroups for abstract differential-algebraic equations
arXiv:2509.02814
Erbay, M., Jacob, B. and Morris, K. (2024). On the Weierstraß form of infinite-dimensional differential algebraic equations.
Journal of Evolution Equations, 24 (73). https://link.springer.com/article/10.1007/s00028-024-01003-3
Erbay, M., Jacob, B., Morris, K., Reis, T. and Tischendorf, C. (2024). Index Concepts for Linear Differential-Algebraic Equations in Infinite Dimensions.
DAE Panel, 2. https://www.tib-op.org/ojs/index.php/dae-p/article/view/2514

Research Stays

09.2024-12.2024 - University of Waterloo, Canada, supervised by Prof. Dr. Kirsten Morris. This stay was partly funded by the NSERC (Canada).
Contributed Talk: Weierstraß form and port-Hamiltonian DAEs.

Conferences & Presentations

11.2025 - CRC 1701 Port-Hamiltonian Systems - 1st IRTG Workshop, Wuppertal, Germany
10.2025 - Doctoral College: "Port-Hamiltonian Systems: Modeling, Numerics and Control“, Groningen, Netherlands.
09.2025 - CRC 1701 Port-Hamiltonian Systems - 1st Annual Retreat, Balve, Germany.
Contributed Talk: A01: Infinite-dimensional differential-algebraic pHS - together with Anna Fischer, Birgit Jacob, Timo Reis.
07.2025 - SIAM Conference on Control and Its Applications (CT25), Montreal, Canada.
Contributed Talk: Tutorial on Differential Algebraic Equation - together with Ala' Alalabi, Hannes Gernandt.
Contributed Talk: Integrated Semigroups for abstract dissipative-Hamiltonian DAEs.
03.2025 - Spring School on Theory and Applications of Port-Hamiltonian Systems 2025, Fraueninsel, Chiemsee, Germany.
Contributed Poster: Integrated semigroups and a port-Hamiltonian differential algebraic system node approach.
03.2025 - 10th Workshop on Differential-Algebraic Equations - Descriptor 2025, Paderborn, Germany.
Contributed Talk: Integrated Semigrous and a Differential Algebraic System Node Approach.
12.2024 - Port-Hamiltonian Symposium, Wuppertal, Germany.
Project Organization: Dissipative Hamiltonian DAEs in infinite dimensions.
10.2024 - Doctoral College: "Port-Hamiltonian Systems: Modeling, Numerics and Control“, Twente, Netherlands
08.2024 - 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, United Kingdom
Contributed Talk: On the Weierstraß form of infinite dimensional differential algebraic equations.
05.2024 - GAMM Activity Group Applied Operator Theory and the Bremen-Hamburg-Kiel-Oldenburg Seminar, Hamburg, Germany,
Contributed Talk: Solvability of infinite-dimensional port-Hamiltonian DAEs
03.2024 - Doctoral College: "Port-Hamiltonian Systems: Modeling, Numerics and Control“, Toulouse, France
Contributed Talk: Solvability of infinite-dimensional port-Hamiltonian DAEs.
04.2023 - Differential-Algebraic Equations and Operator Pencils Workshop, Banff, Canada.
03.2023 - Doctoral College: "Port-Hamiltonian Systems: Modeling, Numerics and Control“, Wuppertal, Germany.
Contributed Talk: Infinite-dimensional port-Hamiltonian DAEs.
11.2022 - Doctoral College: ”Port-Hamiltonian Systems: Modeling, Numerics and Control“, Besançon, France.
06.2022 - 25th Internet Seminar ”Spectral Theory for Operators and Semigroups“, Salerno, Italy.
Contributed Project: Semi-uniform Stability for Bounded Semigroups.
03.2022 - Spring School on Theory and Applications of Port-Hamiltonian Systems 2022, Fraueninsel, Chiemsee, Germany.
11.2021 - Seminar, Alfréd Rényi Institute of Mathematic, Budapest, Hungary.
Contributed Talk: Discrete Approximation of Unbounded Operators and Approximation of their Spectra.
08.2021 - International Workshop on Operator Theory and its Applications, Lancaster, United Kingdom (Online due to Covid).
07.2021 - 24th Internet Seminar ”C∗-algebras and dynamics“, (Online due to Covid).
Contributed Project: The Calkin algebra.
07.2020 - 23rd Internet Seminar ”Evolutionary Equation“, Bundeshöhe, Wuppertal, Germany (Online due to Covid).
Contributed Project: Semigroups and Evolutionary Equations.

zuletzt bearbeitet am: 01.12.2025