Fakultät für Mathematik

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M. Sc. Matthias Täufer


Name M. Sc. Matthias Täufer
Adress: Technische Universität Dortmund
Fakultät für Mathematik
Lehrstuhl LSIX
Vogelpothsweg 87
44227 Dortmund
Room M 613
Telephone (0231) 755-3088
(0231) 755-3063 (Sekretariat)
Telefax (0231) 755-5219
E-mail matthias.taeufer (at) math.tu-dortmund.de
photo of Matthias Täufer

Research

Research interests
Published articles
  1. D. I. Borisov, M. Täufer and I. Veselić: "Spectral localization for quantum Hamiltonians with weak random delta interaction C. R. Math. Acad. Sci. 356 (2018) no. 6, 686-691.
  2. M. Täufer and M. Tautenhahn: "Wegner Estimate and Disorder Dependence for Alloy-Type Hamiltonians with Bounded Magnetic Potential", Ann. Henri Poincaré 19 (2018) no.4, 1151-1165, arXiv:1710.09328 [math.AP]
  3. I. Nakic, M. Täufer, M. Tautenhahn and I. Veselić: "Scale-free unique continuation principle for spectral projectors, eigenvalue lifting and Wegner estimates for random Schrödinger operators", Anal. PDE 11 (2018) no. 4, 1049–1081 arXiv:1609.01953 [math.AP]
  4. N. Peyerimhoff, M. Täufer and I.Veselic: "Unique continuation principles and their absence for Schrödinger eigenfunctions on combinatorial and quantum graphs and in continuum space", Nanosystems: Physics, Chemistry, Mathematics 08 (2017), no. 2, 216-230
  5. M. Täufer and M. Tautenhahn: "Scale-free and quantitative unique continuation for infinite dimensional spectral subspaces of Schrödinger operators", Commun. Pure Appl. Anal. 16 (2017), no. 5, 1719–1730.
  6. M. Täufer, M. Tautenhahn and I. Veselić: "Harmonic analysis and random Schrödinger operators", Spectral theory and mathematical physics, 223–255, Oper. Theory Adv. Appl., 254, Birkhäuser/Springer, [Cham], 2016.
  7. M. Täufer and I. Veselić: "Wegner estimate for Landau-breather Hamiltonians", J. Math. Phys. 57 (2016), no. 7, 072102, 8 pp.
  8. M. Täufer and I. Veselić: "Conditional Wegner estimate for the standard random breather potential", J. Stat. Phys. 161 (2015), no. 4, 902–914.
  9. I. Nakic, M. Täufer, M. Tautenhahn and I. Veselić: "Scale-free uncertainty principles and Wegner estimates for random breather potentials”, C. R. Math. Acad. Sci. 353 (2015), no. 10, 919–923.
Preprints and work in progress
  1. D. I. Borisov, M. Täufer, I. Veselić: "Quantum Hamiltonians with weak random abstract perturbation. II. Localization" (in preparation, 2018).
  2. M. Egidi, I. Nakić, A. Seelmann, M. Täufer, M. Tautenhahn, I. Veselić: "Null controllability and control cost estimates for the heat equation on unbounded and bounded domains" (in preparation, 2018).
  3. N. Peyerimhoff, M. Täufer: "Eigenfunctions and the Integrated Density of States on Archimedean tilings" arXiv:1807.06406 [math-ph] (2018).
  4. I. Nakić, A. Seelmann, M. Täufer, M. Tautenhahn, I. Veselić: "Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains (With an Appendix by Albrecht Seelmann)" arXiv:1804.07816 [math.SP] (2018).
  5. M. Täufer: "Laplace-eigenfunctions on the torus with high vanishing order", arXiv:1710.09328 [math.AP] (2017).

Teaching

CV

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


E-mail:
janine.textor@tu-dortmund.de


Tel. (0231) 755-3063
Fax (0231) 755-5219