Mathematics Münster

Get an insight into the research of seven new postdoctoral researchers of Mathematics Münster. In short scientific presentations they will introduce their topics.
After the talks, there will be the opportunity to exchange ideas while enjoying tea, coffee and cake in the Common Room.

• 1. Adrian Celestino - Free probability, combinatorics and matrix models
• 2. Anish Chedalavada - Geometry at one level of categorification
• 3. Mahdi Haghshenas - Stability of the Expanding Universe: PDEs, Geometry, and Cosmology
• 4. Florian Riedel - Nilpotence phenomena in higher algebra
• 5. Arghya Sadhukhan - From lattices to flags: counting components via representation theory
• 6. Beatriz Salvador - From particle systems to PDEs and SPDEs
• 7. Edoardo Tolotti - Variational homogenization of the nonlinear Stokes problem

Mit der AI.MATH-Initiative stellen wir Positionsentwürfe zur Zukunft mathematischer Forschung und des Mathematikstudiums in Zeiten von KI sowie Fragen und mögliche Antworten vor. Sie dienen als Ausgangspunkte für Diskussionen. Dabei möchten wir auch den Unsicherheiten, Hoffnungen und Sorgen Raum geben, die mit diesem Wandel verbunden sind.

I will present an overview of the results on existence and asymptotic properties of magnetic skyrmions defined as topologically nontrivial maps of degree +1 from the plane to a sphere which minimize a micromagnetic energy containing the exchange, perpendicular magnetic anisotropy and interfacial Dzyaloshinskii-Moriya interaction (DMI) terms. In ultrathin films, the stray field energy simply renormalizes the anisotropy constant at leading order, but in finite samples it also produces additional non-trivial contributions at the sample edges, promoting nontrivial spin textures. Starting with the whole space problem, I will first discuss the existence of single skyrmions as global energy minimizers at sufficiently small DMI strength. Then, using the quantitative rigidity of the harmonic maps I will present the asymptotic characterization of single skyrmion profiles both in infinite and finite samples. Lastly, I will touch upon the question of existence of multi-skyrmion solutions as minimizers with higher topological degree and present recent existence results obtained jointly with T. Simon and V. Slastikov.

A day for MM postdocs to prepare for the next step, exchange and connect with other postdocs on career-and maths-related matters.

(1) Research Statements and Proposals (with Eugen Hellmann and Angela Stevens) - A session on preparing a research statement for applications or proposals for grant applications or permanent positions: What is important, tips+tricks, which level of specificity is needed, ...

(2) Scientific Profile (with Shirly Geffen and Hendrik Weber) - A session on what is important in the postdoc profiling phase.

More information and registration in September....

Abstract

We invite all early career researchers who have started their position at Mathematics Münster in 2026 to join us for a welcoming Meet&Greet session with the Cluster spokespersons, some investigators, the MM management staff and all the new members.

We invite all early career researchers who have started their position at Mathematics Münster in 2026 to join us for this MM Welcome Event. Learn more about the Cluster, its research topics and opportunities. Get to know investigators and your fellow new colleagues.

We invite all doctoral researchers who have started their position at Mathematics Münster since January 2026 to join us for this MM Spotlight. Learn more about how to start into the doctoral research, what the mentoring programme is all about and get to know your fellow new colleagues.