# Former members: Dr. Matthias Täufer

### Here you find the key information about his activities while member of our group:

• Dr. Täufer started his PhD studies at the TU Chemnitz in winter 2013 and completed his PhD at the TU Dortmund in October 2018.
• An online version of his PhD Thesis can be found here.
• Matthias Täufer's PhD project was partially funded by the DFG Project Ve 253/6-1 Unique continuation principles and equidistribution properties of eigenfunctions. More information about the project and Matthias' contribution can be found here.
• Matthias Täufer has (co-)authored the following publications during his work on the mentioned DFG Project, his PhD thesis, and as member of the group:
2021
• Wegner estimate and localisation for alloy type operators with minimal support assumptions on the single site potential. (2021).
• Quantum Hamiltonians with Weak Random Abstract Perturbation. II. Localization in the Expanded Spectrum. (2021). .
2020
• Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains. (2020). With an Appendix by Albrecht Seelmann. .
• Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains. (2020). In: Control Theory of Infinite-Dimensional Systems, pp. 117–157. Birkhäuser, Cham.
• Band edge localization beyond regular Floquet eigenvalues. (2020). .
• The Statistics of Noisy One-Stage Group Testing in Outbreaks. (2020). [arXiv]
• Sharp estimates and homogenization of the control cost of the heat equation on large domains. (2020). .
2019
• Protecting points from operator pencils. (2019). [arXiv]
2018
• Spectral localization for quantum Hamiltonians with weak random delta interaction. (2018). . [DOI]
• Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators. (2018). .
2017
• Unique continuation principles and their absence for Schrödinger eigenfunctions on combinatorial and quantum graphs and in continuum space. (2017). .
2016
• Harmonic analysis and random Schrödinger operators. (2016). In: Spectral theory and mathematical physics, pp. 223–255. Birkhäuser, Cham.
• Wegner estimate for Landau-breather Hamiltonians. (2016). .
2015
• Conditional Wegner estimate for the standard random breather potential. (2015). .
• Scale-free uncertainty principles and Wegner estimates for random breather potentials. (2015). .

### Kontakt

TU Dortmund
Fakultät für Mathematik
Lehrstuhl IX
Vogelpothsweg 87
44227 Dortmund

Sie finden uns auf dem sechsten Stock des Mathetowers.

#### Sekretariat

Janine Textor (Raum M 620)

Tel.: (0231) 755-3063
Fax: (0231) 755-5219
Mail: janine.textor@tu-dortmund.de