During my Ph.D., I contributed to several publications, some of which are currently under review. In addition, I have prepared manuscripts that will be submitted to journals in the near future.
My favourite Results are:
New Bounds on the Maximal Excess Charge of Atoms in [2]
The Absence of the Efimov Effect in a System of Confined Particles in [3]
The lists below include papers, preprints, and manuscripts that I have authored or co-authored. For details on current and upcoming projects, please refer to my research statement.
[1] On the Efimov Effect for Four Particles in Dimension Two J. Rau and M.R. Schulz
[2] On The Excess Charge Problem of Atmos D. Hundertmark, N. Pattakos and M.R. Schulz
[3] Why a System of Three Bosons on Separate Lines Can Not Exhibit the Confinement Induced Efimov Effect D. Hundertmark, M.R. Schulz, S. Vugalter
Published Papers
[4] Absence of the confinement–induced Efimov effect: a direct proof in a specific geometry M.R. Schulz, S. Zalczer
Schulz, M.R., Zalczer, S. Absence of the confinement–induced Efimov effect: a direct proof in a specific geometry. Lett Math Phys 115, 135 (2025). https://doi.org/10.1007/s11005-025-02019-7
The following are published papers that I completed during the last six months of my Master’s studies, while working on a MathSEE project at KIT and before starting my Ph.D. position. Publication [Phys 1] was primarily written by me, whereas for [Phys 2] I contributed by suggesting approaches to certain differential equations and was subsequently invited to join as a co-author. Contrary to mathematics standards and as usual for physics publications, the order of authors is given regarding their relevance for the result.
[5, Phys 1] Analytical Solution of a Gas Release Problem Considering Permeation With Time-dependent Boundary Conditions
Marvin R. Schulz, Kaori Nagatou, Axel von der Weth, Frederik Arbeiter and Volker Pasler. Journal of Computational and Theoretical Transport, 49(7), 389–412.
[6, Phys 2] Numerical Analysis of an Isovolumetric Thermal Desorption Experiment
Weth, Axel von der, Frederik Arbeiter, Kaori Nagatou, Volker Pasler, Dmitri Klimenko, and Marvin Schulz. Diffusion Foundations, 27, 122-135.