Dr. Alexander Dicke
Welcome to my personal website!
I am a 28-year-old mathematician working as an AI Engineer at Web Computing.
Before that I was a research assistant at TU Dortmund University, where I completed my PhD thesis entitled "Spectral Inequalities for Schrödinger Operators and Parabolic Observability". I have also (co-)authored eight research papers. You can find a list of my publications below, and you may also have a look at my Google Scholar profile or at my former website at the chair of Analysis, Mathematical Physics & Dynamical Systems in Dortmund.
Before working in Dortmund, I studied mathematics with a minor in computer science at the University of Siegen.
Publications
Control problem for quadratic parabolic differential equations with sensor sets of finite volume or anisotropically decaying density. Alexander Dicke, Albrecht Seelmann, and Ivan Veselić (2023). In: ESAIM. Control, Optimisation and Calculus of Variations, Volume 29, Issue 80, pp. 35. [DOI], [arXiv]
Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials. Alexander Dicke, Christian Rose, Albrecht Seelmann, and Martin Tautenhahn (2023). In: Journal of Differential Equations, Volume 369, pp. 405-423. [DOI], [arXiv]
Unique continuation for the gradient of eigenfunctions and Wegner estimates for random divergence-type operators. Alexander Dicke and Ivan Veselić (2023). In: Journal of Functional Analysis, Volume 285, Issue 7. [DOI], [arXiv]
Uncertainty principle for Hermite functions and null-controllability with sensor sets of decaying density. Alexander Dicke, Albrecht Seelmann, and Ivan Veselić (2023). In: Journal of Fourier Analysis and Applications, Volume 29, Issue 11, pp. 1-19. [DOI], [arXiv]
Spectral Inequalities for Schrödinger Operators and Parabolic Observability. Alexander Dicke (2022). PhD thesis, Technische Universität Dortmund. [DOI]
Spherical Logvinenko-Sereda-Kovrijkine type inequality and null-controllability of the heat equation on the sphere. Alexander Dicke and Ivan Veselić (2022). [arXiv]
Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials. Alexander Dicke, Albrecht Seelmann, and Ivan Veselić (2022). [arXiv]
Uncertainty principles with error term in Gelfand-Shilov spaces. Alexander Dicke and Albrecht Seelmann (2022). In: Archiv der Mathematik, Volume 119, Issue 4, pp. 413–425. [DOI], [arXiv]
Wegner estimate for random divergence-type operators monotone in the randomness. Alexander Dicke (2021). In: Mathematical Physics, Analysis and Geometry, Volume 24, Issue 3, pp. 22. [DOI], [arXiv]