Research Interests

• (partial) differential-algebraic equations, port-Hamiltonian systems,
• generalized eigenvalue problems, networks

Supervised Student Theses

• none

Publications

• HG, J. Rohleder: A Calderón type inverse problem for quantum trees, arXiv:2002.03670.
• HG, F.E. Haller, T. Reis, A. van der Schaft: Port-Hamiltonian formulation of nonlinear electrical circuits, Journal of Geometry and Physics, 159, 103959, 2021. DOI
• V. Kleyman, HG, K. Worthmann, H.S. Abbas, R. Brinkmann, M.A. Müller: Modeling and parameter identification for real-time controlled retinal laser therapies, at - Automatisierungstechnik, 68(11), 953-966, 2020.  DOI
• HG, N. Moalla, F. Philipp, W. Selmi, C. Trunk: Invariance of the essential spectra of operator pencils, Operator Theory Advances Applications 278, 203-219, 2020. DOI
• HG, F.E. Haller, T. Reis: A linear relations approach to port-Hamiltonian differential-algebraic equations,  arXiv: 2010.01936 
• My older publications can be found here: Google Scholar , ORCID

Poster Presentations

• none

Presentations

• 11/2020: A linear relation approach to dissipative Hamiltonian DAEs, OSELOT Seminar.
• 02/2020: Optimal Control of differential.algebraic systems in infinite dimensions, Elgersburg Workshop, Elgersburg.
• 02/2020: Ergodic theorems, Functional Analysis Seminar, Ilmenau.
• 03/2019: One-dimensional perturbations of singular matrix pencils, 9th Descriptor Workshop, Paderborn.
• 02/2019: On the essential spectrum of operator pencils, 90th GAMM Annual Meeting, Vienna.
• 09/2018: Point interactions on infinite graphs, Mikael-Passare-Day, Stockholm.
• 04/2018: Eigenvalue assignment for matrix pencils with application to network redesign, Seminario de Análisis Funcional "Mischa Cotlar", Buenos Aires. 
• 02/2018: On the gap distance between matrix pencils, Absolventen-Seminar Numerische Mathematik, TU Berlin.
• 06/2017: Rank one perturbation of matrix pencils with application to electric circuits, Forschungsseminar: Mathematische Modellierung & numerische Simulation, HU Berlin.
• 05/2017: Locally finite extensions of direct sum operators, Workshop of the GAMM Activity Group Applied Operator Theory, Hamburg.
• 03/2017: On the rank one inverse eigenvalue problem for Hermitian matrix pencils, 88th Annual Meeting GAMM, Weimar.
• 06/2016: The Dantzig Selector, Seminar "Sparse Recovery and Compressed Sensing", TU Ilmenau.
• 03/2016: Eigenvalue placement for regular matrix pencils with rank one perturbations, Gemeinsame Jahrestagung von GAMM und DMV, Braunschweig.
• 09/2015: Laplacians on infinite graphs, 4^th Najman conference on Spectral Problems for Operators and Matrices, Opatija. 

Teaching

• Tutorium Analysis I - WS 2020/2021