# Department of Applied Mathematics and Theoretical Physics

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. Spectral characterization of magic angles in twisted bilayer graphene.Joint work with Mark Embree, Jens Wittsten, and Maciej Zworski. Preprint on arXiv.

2. Computing solutions of Schrödinger equations on unbounded domains- On the brink of numerical algorithms. Joint work with Anders Hansen. Preprint on arXiv.

3. Quantum Zeno effect for open quantum systems. Joint work with Robert Salzmann and Nilanjana Datta. Preprint on arXiv.

4. The optimal spectral gap for regular and disordered harmonic networks of oscillators. Joint work with Angeliki Menegaki. Preprint on arXiv.

5. Model Order Reduction for (Stochastic-) Delay Equations With Error Bounds. Joint work with Lorenz Richter. Preprint on arXiv.

6. Quantum statistical learning via Quantum Wasserstein natural gradient. Joint work with Wuchen Li. Journal of Statistical Physics. 2020.

7. Mathematics of magic angles in a model of twisted bilayer graphene. Joint work with Mark Embree, Jens Wittsten, and Maciej Zworski. Preprint on arXiv.

8. Honeycomb structures in magnetic fields. Joint work with Rui Han, Svetlana Jitomirskaya, and Maciej Zworski. Preprint on arXiv.

9. 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.

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

11. Schrödinger and polyharmonic operators on infinite graphs: Parabolic well-posedness and p-independence of spectra. Joint work with Federica Gregorio, Delio Mugnolo. 2020. J. Math. Anal. and Appl..

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

13. Convergence rates for the quantum central limit theorem. Joint work with Nilanjana Datta, Ludovico Lami, Cambyse Rouzé. 2020. Comm. Math. Phys.

14. Spectral gap in $\mathcal O(n)$-model. Joint work with Angeliki Menegaki. 2020. Comm. Math. Phys.

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

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

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

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

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

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

21. 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

22. 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