Preprints
On a variational problem related to the Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities (with Thiago Carvalho Corso). Preprint (2024). arxiv
h-Wasserstein barycenters (with Camilla Brizzi, Gero Friesecke). Preprint (2024). arxiv
Domain branching in micromagnetism: scaling law for the global and local energies (with Carlos Román). Preprint (2023). arxiv
Publications in peer-reviewed journals
Variational methods for a singular SPDE yielding the universality of the magnetization ripple (with Radu Ignat, Felix Otto, Pavlos Tsatsoulis). Communications on Pure and Applied Mathematics 76 (2023), 2959-3043. doi arxiv
Cwikel’s bound reloaded (with Dirk Hundertmark, Peer Kunstmann, Semjon Vugalter). Inventiones Mathematicae 231 (2023), 111–167. doi mr zbl arxiv
Variational approach to regularity of optimal transport maps: general cost functions (with Felix Otto, Maxime Prod’homme). Annals of PDE 7 (2021), Article number 17. doi mr zbl arxiv
Entropy decay for the Kac evolution (with Federico Bonetto, Alissa Geisinger, Michael Loss). Communications in Mathematical Physics 363 (2018), 847–875. doi mr zbl arxiv
Dispersion managed solitons in the presence of saturated nonlinearity (with Dirk Hundertmark, Young-Ran Lee, Vadim Zharnitsky). Physica D: Nonlinear Phenomena 356–357 (2017), 65-69. doi mr zbl
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities (with Dirk Hundertmark, Young-Ran Lee, Vadim Zharnitsky). Journal of Differential Equations 265 (2018), 3311-3338. doi mr zbl arxiv
Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction (with Jean-Marie Barbaroux, Dirk Hundertmark, Semjon Vugalter). Kinetic and Related Models 10 (2017), 901-924. doi mr zbl arxiv
Gevrey smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules (with Jean-Marie Barbaroux, Dirk Hundertmark, Semjon Vugalter). Archive for Rational Mechanics and Analysis 225 (2017), 601–661. doi mr zbl arxiv
Conference proceedings
Bourgain’s surprising result in stochastic homogenization (with Mitia Duerinckx). In Oberwolfach Workshop Report 2022,48, Arbeitsgemeinschaft: Quantitative Stochastic Homogenization (organized by A. Gloria, F. Otto), Mathematisches Forschungsinstitut Oberwolfach, 2022, pp. 41-44. doi
Counting bound states with maximal Fourier multipliers (with Dirk Hundertmark, Peer Kunstmann, Semjon Vugalter). In Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume (eds. P. Exner, R.L. Frank, F. Gesztesy, H. Holden, T. Weidl), EMS Series of Congress Reports Vol. 18, EMS Press, 2021, pp. 197–207. doi mr zbl
Theses
PhD Thesis (2017): On some nonlinear and nonlocal effective equations in kinetic theory and nonlinear optics. Supervisors: Dirk Hundertmark (KIT), Jean-Marie Barbaroux (UTLN)
MSc Thesis (2013): Jordan Wigner Transformations and Quantum Spin Systems on Graphs. Supervisor: Simone Warzel (TUM)
BSc Thesis (2011): On Bose Condensation in Disorder, Supervisors: Simone Warzel (TUM), Wilhelm Zwerger (TUM)