Julian Weigt

I am currently a doctoral student in mathematics. My supervisor is Juha Kinnunen of the NPDE-group of Aalto University in Espoo, Helsinki region, Finland.

Contact

email: firstname.lastname@aalto.fi
physical mail address: Aalto University
Department of Mathematics and Systems Analysis
P.O. Box 11100
FI-00076 Aalto
Finland
visiting address: Room M241
Otakaari 1
Espoo
departmental page
portrait of me


Current Teaching

10/2021-12/2021 MS-E1280 - Measure and Integral head assistant

Former Teaching at Aalto University

01/2021-02/2021 MS-A0211 - Differential and integral calculus 2 head assistant
10/2020-12/2020 MS-E1280 - Measure and Integral head assistant
04/2020-05/2020 MS-E1992 - Harmonic Analysis head assistant
02/2020-04/2020 MS-A0311 - Differential and integral calculus 3 head assistant
10/2019-12/2019 MS-E1280 - Measure and Integral head assistant
04/2019-06/2019 MS-A0311 - Differential and integral calculus 3 head assistant
09/2018-12/2018 MS-C1350 - Partial Differential Equations head assistant


Research

I currently work on regularity properties of maximal operators. I am generally interested in real and harmonic analysis topics.

Publications

J. Weigt, The Variation of the Uncentered Maximal Operator with respect to Cubes. Submitted. preprint
C. Bilz, J. Weigt, The one-dimensional centred maximal function diminishes the variation of indicator functions. Submitted. arXiv, preprint
2021 D. Beltran, C. González-Riquelme, J. Madrid, J. Weigt, Continuity of the Gradient of the Fractional Maximal Operator on W^1,1. To appear in Math. Res. Let. arXiv, preprint
J. Weigt, Endpoint Solobev Bounds for the Uncentered Fractional Maximal Function. Submitted. arXiv, preprint
J. Weigt, Variation of the dyadic maximal Function. To appear in Int. Math. Res. Not. arXiv, preprint
2020 J. Weigt, Variation of the uncentered maximal characteristic Function. To appear in Rev. Mat. Iber. arXiv, preprint
J. P. Ramos, O. Saari, J. Weigt, Weak differentiability for fractional maximal functions of general Lp functions on domains. Adv. Math. 368 (2020), 107144, 25 pp. arXiv, journal article mathscinet
2019 J. Weigt, Almost-orthogonality of restricted Haar functions. Proc. Amer. Math. Soc. 148 (2020), no. 2, 601-609. arXiv, preprint, mathscinet
2018 Master's Thesis: Almost-Orthogonality of Restricted Haar Functions download,
download updated


Talks

12.03.2021 UCLA Analysis and PDE Seminar Endpoint regularity of the dyadic and the fractional maximal function
05.02.2019 Helsinki University, Geometric and Functional Analysis Seminar Almost orthogonality of restricted Haar functions

CV

cv_julian_weigt.pdf

Software I like

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.
Vim,Vis Purely keyboard controlled text editors
dwm A simple keyboard controlled window manager
Luakit, Qutebrowser Keyboard controlled web browsers
Linux, Arch Linux Open source operating system
Postmarket OS An (alpine) linux-based open source operating system for smartphones, meant to support in particular devices whose manufacturer has dropped support for.
Jitsi Video conferencing software. Self hosted alternative to Skype, Google hangouts and Zoom. They host a public instance which anyone can use. Works in the web browser on desktop and mobile, also provides dedicated 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.
Nextcloud File backup and sharing. Self hosted alternative to Dropbox, Google drive and similar. Has plugins for a variety of features, such as video conferencing.
Etherpad Collaborative text editor. More lightweight and simple self hosted alternative to Google docs. Also has a good phone UI.
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

Latex-packages I like

hyperref You can click on \ref references in the pdf.
cleverref Write \cref{lemma1} instead of Lemma \ref{lemma1}.