Welcome!
Welcome to my webpage! I am a mathematician specialising in analysis, holding a professorship at the University of Konstanz (W1 to W3) since April 2021. Specifically, I am the successor of Prof. R. Racke (Chair of Analysis in Konstanz).
Before I moved to Konstanz, I worked in the Analysis & PDE group at the University of Bonn under the mentorship of Prof. H. Koch. Prior to that position, I completed my DPhil in the OxPDE group at the University of Oxford under the supervision of Prof. J. Kristensen. A short CV is available here.
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Broadly speaking, my research is centered around regularity theory in the calculus of variations, real analysis, function spaces and their interactions in applications. Here, a particular focus is on the borderline case of linear growth functionals, where things substantially differ from other frameworks - might it be because of compactness or failure of standard techniques from harmonic analysis.
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Feel free to look around! For research papers, please look here, and for more specific course material, please look here.
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Conference 'Calculus of Variations'
From February 17-21, 2025, Cristiana De Filippis (Parma), Filip Rindler (Warwick) and I are organising a conference on the Calculus of Variations, celebrating Jan Kristensen's 60th birthday. More information will be available soon.
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Conference on Partial Differential Equations
For March 2025, Matthias Hieber, Markus Kunze, Reinhard Racke and I are organising a workshop on the occasion of Robert Denk's 60th birthday. More information will be available soon.
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Mini-course 'Korn inequalities: Old & new'
In May 2024, I give a mini-course on Korn inequa-lities at TU Darmstadt. The course aims to give an accessible survey of both classical material and re-cent developments.
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Outreach talks: Prof@School
I am part of the prof@school program. If interested, I am happy to deliver a talk at your school - topics can be found at the official university site here.
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A talk on talks, Summer Term 2022:
For good practice in beamer talks (e.g. for the cabin seminar announced below), have a look at the slides to be found here.
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Summer Term 2022: Cabin seminar/Hüttenseminar
In summer 2022, I offer a cabin seminar on the topic Harmonic functions and the Dirichlet prin-ciple. For the details, see this flyer (click).
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Summer Term 2022: Lecture 'Harmonic Analysis & Corona Theorems
In summer 2022, I offer a 4hrs-lecture on harmonic analysis. For the details, visit this subpage.
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Winter Term 2021/22: Lectures
In winter 2021/22, I will give two 2hrs weekly lectures next term: One on Fourier analysis (BSc level) and one on the Calculus of Variations (MSc or advanced BSc level). More information will be circulated here soon.
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Summer Term 2021: Lecture & Seminar
* The lecture is scheduled - find here the BBB-link.*
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In summer 2021, I will offer an MSc lecture on "Functions of bounded variation and their appli-cations" as well as a BSc/MSc seminar on "Convex Analysis". A more detailled description of these courses can be found here (lecture) and here (seminar). Feel free to contact me in case of any questions!
Summer Term 2020: Graduate Lecture 'Selected Topics in Analysis & PDE' on Function Spaces and Potential Theory
In summer 2020 I offer a graduate lecture (MSc level) on function spaces and (non-)linear potential theory. A more detailled description of the lecture (including time & venue) is available here.
Summer Term 2020: Function Spaces & Potential Theory informal closing meeting
Either on Jul 16 or Jul 21, we will have an infor-mal closing meeting for my selected topics lec-ture in a beergarden (participants will be invited),
and more information will be available here soon.
Cabin Seminar 'Fourier Analysis'
In winter term 2024/25, I offer a cabin seminar in Pfitztal (Austria) on the broad theme of Fourier analysis. All free slots are booked. For further information, please contact my assistants Lukas Fußangel and Paul Stephan.
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Theses, Winter Term 2024/25
In Winter 2024/25, I have reached my maximum capacity for supervising students - see here for the current team. In order to provide all of my students with a reasonable supervision, I have thus decided to not accept quests for new theses.
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If you aim to write a graduation thesis (BSc or MSc) in Winter 2024/25, please contact my colleagues, e.g.
Prof. Robert Denk or Prof. Markus Kunze.
Conference 'Calculus of Variations: Regularity Theory and Limiting Spaces'
Jointly with Jan Kristensen (Oxford) and Bogdan Raita (Pisa), we are organising a conference on the Calculus of Variations, Regularity Theory and Limiting spaces. More information can be found here.
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Winter Term 2021/22: Thesis Supervisions
I am always willing to supervise graduation theses in Analysis & PDE (both BSc, MSc). In case you are interested, you can get some inspiration by previous theses here - feel free to contact me!
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Winter Term 2020/21: Thesis Supervisions
Since I am leaving Bonn to March 1, 2021, I will not be able to supervise any new Bachelor's or Master's theses. If you are intrested in writing a thesis in Analysis & PDE, you may contact our group members, first and foremost Prof. H. Koch.
Cabin Seminar Summer Term 2020:
In summer 2020, H. Koch and I will offer a block seminar for our Bachelor and Master students. By the recent outbreak of the corona virus, we were bound to cancel the original appointment in May 2020; we will make good for the seminar at some later point - in the meantime, stay healthy!
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Update (Jun 15): It is still not conceivable when the Corona restrictions are softened enough to go for a cabin seminar in summer. In any case, we shall have a hike - more information will be dis-tributed here once available.
Workshop: In September 2019, L. Beck (Augsburg), J. Kristensen (Oxford) and myself organised a workshop on linear growth functionals - more information is available here. - Many thanks to all the participants for this wonderful event!
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