# Faculty of Mathematics

Simon Lukas Becker

## Career

• 2017-date: PhD Student (CCA), University of Cambridge
• 2016-2017: Visiting Research Student, UC Berkeley
• 2015-2017: M.Sc. in Theoretical and Mathematical Physics, LMU and TU Munich
• 2012-2017: B.Sc. and M.Sc. in Mathematics, FU Berlin

## Publications & Preprints

1. Energy-constrained discrimination of unitaries, quantum speed limits and a Gaussian Solovay-Kitaev theorem. Joint work with Nilanjana Datta, Ludovico Lami, and Cambyse Rouzé. 2020. Preprint on arXiv.

2. Dynamical delocalization for discrete magnetic random Schrödinger operators. Joint work with Rui Han. 2020. Preprint on arXiv.

3. Schrödinger and polyharmonic operators on infinite graphs: Parabolic well-posedness and p-independence of spectra. Joint work with Federica Gregorio, Delio Mugnolo. 2020. Preprint on arXiv.

4. Feedback control theory & Model order reduction for stochastic equations. Joint work with Carsten Hartmann, Martin Redmann, Lorenz Richter. 2019. Preprint on arXiv.

5. Convergence rates for the quantum central limit theorem. Joint work with Nilanjana Datta, Ludovico Lami, Cambyse Rouzé. 2019.  Preprint on arXiv.

6. Spectral gap in $\mathcal O(n)$-model and chain of oscillators using Schrödinger operators. Joint work with Angeliki Menegaki. 2019. Preprint on arXiv.

7. Convergence rates for quantum evolution and entropic continuity bound in infinite dimensions. Joint work with Nilanjana Datta. 2019. Comm. Math. Phys.

8. Geometry of energy landscapes and the optimizability of deep neural networks. Joint work with Yao Zhang and Alpha Lee. 2020. Phys. Rev. Lett.

9. Infinite-dimensional Bilinear And Stochastic Balanced Truncation. Joint work with Carsten Hartmann. 2019. Math. Control Signals Syst.

10. Cantor Spectrum For Graphene In Magnetic Fields. Joint work with Rui Han and Svetlana Jitomirskaya. 2019. Inventiones mathematicae.

11. Magnetic Oscillations in Graphene. Joint work with Maciej Zworski. 2019. Comm. Math. Phys.

12. Spectral properties of the 2+1 fermionic trimer with contact interactions.Joint work with Alessandro Michenangeli and Andrea Ottolini. 2018. Math. Phys. Anal. Geo.

13. Symmetric Tops Subject to Combined Electric Fields: Conditional Quasi-Solvability via the Quantum Hamilton-Jacobi Theory. Joint work with K. Schatz, and B. Friedrich, and B. Schmidt. 2018. Phys. Rev. A

14. Conditional Quasi-Exact Solvability of the Quantum Planar Pendulum and its Anti-Isospectral Hyperbolic Counterpart, Joint work with M. Mirahmadi, B. Schmidt, K. Schatz, and B. Friedrich. 2017. Eur. Phys. J. D

CCA[Applied]

D0.07

01223 766859