I am currently employed by ICTPs math section, funded by a Marie Skłodowska-Curie postdoctoral fellowship with
Emanuel Carneiro.
Previously I was a postdoc under
David Bate at the University of Warwick and before that I did my PhD with
Juha Kinnunen at Aalto University. I did my Masters with
Christoph Thiele in Bonn and my Bachelors' in Math and in Physics at the University of Jena.
Contact
| email: |
(initial of first name)(lastname)@ictp.it |
| address: |
Room 121
Leonardo Building
Abdus Salam International Centre for Theoretical Physics
Strada Costiera 11
34151 Trieste
Italy
|
| departmental page |
Research
I am working on the regularity properties of maximal operators, quantitative properties of Alberti representations/Lipschitz multilinear Kakeya, and weighted Poincaré inequalities.
I am generally interested in real and harmonic analysis topics.
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with P. Lahti,
The centered maximal operator removes the non-concave Cantor part from the gradient.
In preparation.
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A Vitali-type lemma for the boundary.
Submitted.
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arXiv,
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| 2025 |
with D. Bate,
Alberti representations, rectifiability of metric spaces and higher integrability of measures satisfying a PDE.
Submitted.
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arXiv,
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| 2024 |
Sobolev bounds and counterexamples for the second derivative of the maximal function in one dimension.
Submitted.
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arXiv,
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| 2023 |
with K. Myyryläinen, C. Pérez,
Weighted fractional Poincaré inequalities via isoperimetric inequalities.
Calc. Var. Partial Differ. Equ. 63, No. 8, Paper No. 205, 32 p. (2024).
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arXiv,
journal link
journal article
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| 2022 |
Doctoral thesis: Endpoint regularity of maximal functions in higher dimensions.
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electronic publication
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The Variation of the Uncentered Maximal Operator with respect to Cubes.
J. Eur. Math. Soc. 27 (2025), no. 6, pp. 2531–2570
DOI 10.4171/JEMS/1575
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arXiv,
preprint,
journal link,
journal pdf,
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with C. Bilz,
The one-dimensional centred maximal function diminishes the variation of indicator functions.
to appear in J. Geom. Anal.
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arXiv,
preprint
journal article
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| 2021 |
with D. Beltran, C. González-Riquelme, J. Madrid,
Continuity of the Gradient of the Fractional Maximal Operator on W^1,1.
Math. Res. Lett. 30, No. 3, 689-707 (2023).
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arXiv,
preprint
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Endpoint Solobev Bounds for the Uncentered Fractional Maximal Function.
Math. Z. 301, No. 3, 2317--2337 (2022)
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arXiv,
journal publication,
preprint,
journal article
|
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Variation of the dyadic maximal Function.
Int. Math. Res. Not. 2023, No. 4, 3576-3596 (2023)
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arXiv,
journal publication,
preprint,
journal article
|
| 2020 |
Variation of the uncentered maximal characteristic Function.
Rev. Mat. Iber. 38, No. 3, 823-849 (2022)
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arXiv,
journal publication,
preprint
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with J. P. Ramos, O. Saari,
Weak differentiability for fractional maximal functions of general Lp functions on domains.
Adv. Math. 368 (2020), 107144, 25 pp.
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arXiv,
published pdf,
journal article,
mathscinet
|
| 2019 |
Almost-orthogonality of restricted Haar functions.
Proc. Amer. Math. Soc. 148 (2020), no. 2, 601-609.
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arXiv,
preprint,
journal article,
mathscinet
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| 2018 |
Master's Thesis: Almost-Orthogonality of Restricted Haar Functions.
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download,
download updated
|
| Using Git with LaTeX (like this) |
Git is version control software, primarily for text files such as latex files, which is very useful for collaborating. It stores the complete history of your project in a searchable way and allows for undoing and redoing of any change ("commit") in the history. People can work offline on the same file at the same time, and whenever someone is happy with their work, they commit their change to the server. As long as different users only touch different parts of the file, it will just work. But even if the same portion of a file has been edited by different people at the same time, there is a merging system in place which helps in solving such edit conflicts. |
| Asymptote |
For creating vector graphics. Typesets labels and equations in LaTeX. Is text file based and can thus be well managed using git. |
| gnuplot |
To plot data and functions. Is also text file based.
|
| make |
To execute build/compile recipes. Knows when files need to be recompiled. I use it to draw figures using asymptote and gnuplot automatically before compiling the latex file. Works well together with git for example to quickly generate different versions of a document.
|
| Vim,Vis |
Purely keyboard controlled text editors |
| dwm, Sway |
Simple keyboard controlled window managers |
| Luakit, Qutebrowser |
Keyboard controlled web browsers |
| Linux, Arch Linux, Alpine Linux |
Open source operating system |
| Postmarket OS |
An (alpine) linux-based open source operating system for smartphones, meant to support in particular ARM/Android devices whose manufacturer has dropped support for. |
| Jitsi |
Video conferencing software. Self hosted alternative to Skype, Google hangouts, Zoom etc. They host a public instance which anyone can use. Works in the web browser on desktop and mobile, also provides dedicated android and ios applications.
|
| Matrix |
A messaging protocol. Competes with whatsapp, telegram, facebook chat, etc. It is federated, meaning that it does not rely on a single host, but that everyone can run their own server and the servers communicate with each other; in that respect comparable to email. Self hosted, but public servers available.
|
| Etherpad |
Collaborative text editor. More lightweight and simple self hosted alternative to Google docs. Also has a good phone UI.
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| Ethercalc |
Collaborative spreadsheet editor. Self hosted alternative to Google sheets. UI not great imo, but works.
|
| Touch typing |
A systematic way of typing on the computer keyboard without sight |
| Neo |
A supposedly more ergonomic keyboard layout with many layers. Has comfortably placed programming characters like \,(,),{,}, a numblock and keys like arrows and backspace. Also types greek letters and mathematical symbols like ℕ,ℝ,∫. Optimized for touch typing. |
| thebestmotherfucking.website |
A simply designed website |
| st |
A simple terminal |
|
zathura,
feh,
gomuks
neomutt+abook
|
more purely keyboard controlled programs |
