--- title: Curriculum Vitae author: Julian Weigt date: 2026-02-03 --- # Basic Information {#basic-information .unnumbered} -------------- ------------------------------------ Name: Julian Weigt Citizenship: German 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 -------------- ------------------------------------ ![Portrait of Julian Weigt](portrait.png){width="30mm"} # Studies and positions {#studies-and-positions .unnumbered} Date | Position | Affiliation ------------------------- | ------------------------------------- | ----------------------------------------------------- 2025-07-01 - 2027-06-30 | Marie Skłodowska-Curie postdoctoral fellow | International Centre for Theoretical Physics
\newline Host: Dr. Emanuel Carneiro 2022-11-01 - 2025-06-30 | Postdoctoral researcher | University of Warwick,
\newline PI: Dr. David Bate 2018-07-01 - 2022-10-31 | Doctoral Student | Aalto University,
\newline Advisor: Prof. Juha Kinnunen
\newline Thesis: Endpoint Regularity of Maximal Functions in Higher Dimensions
\newline date of defense: 2022-10-21 2016-10-01 - 2018-06-30 | Master of Science in Mathematics | University of Bonn,
\newline Advisor: Prof. Christoph Thiele
\newline Thesis: Almost-Orthogonality of Restricted Haar Functions 2015-09-01 - 2016-05-31 | Erasmus Exchange Student | Lund University 2013-10-01 - 2015-06-30 | Bachelor of Science in Mathematics | University of Jena,
\newline Advisor: Prof. Daniel Lenz, Marcel Schmidt
\newline Thesis: Measurable Equidecomposition 2011-10-01 - 2014-06-30 | Bachelor of Science in Physics | University of Jena,
\newline Advisor: Prof. Bernd Brügmann, Tim Dietrich
\newline Thesis: Oppenheimer-Snyder Collapse # Publications Year | Publication ------ | -------------------------------------------------------------------------------------------------------------------------------------------------------- []() | with P. Lahti, **A geometric characterisation of absolute continuity for the local uncentered maximal function.** _In preparation_. 2026 | with S. Liao, J. Madrid, E. Palsson, **Discrete maximal operators on characteristic functions.** _In preparation_. []() | with P. Lahti, **The centered maximal operator removes the non-concave Cantor part from the gradient.** arXiv:[2510.01936](https://arxiv.org/abs/2510.01936), _Submitted to Adv. Math._ []() | **A Vitali-type lemma for the boundary.** arXiv:[2507.15333](https://arxiv.org/abs/2507.15333), _Submitted to Bull. Lond. Math. Soc._ 2025 | with D. Bate, **Alberti representations, rectifiability of metric spaces and higher integrability of measures satisfying a PDE.** arXiv:[2501.02948](https://arxiv.org/abs/2501.02948), _Submitted to Duke Math. J._ 2024 | **Sobolev bounds and counterexamples for the second derivative of the maximal function in one dimension.** arXiv:[2409.12631](https://arxiv.org/abs/2409.12631), _Submitted to J. Funct. Anal._ 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). 2022 | Doctoral thesis: **Endpoint regularity of maximal functions in higher dimensions.** []() | **The Variation of the Uncentered Maximal Operator with respect to Cubes.** _J. Eur. Math. Soc._ (2024), DOI 10.4171/JEMS/1575 []() | with C. Bilz, **The one-dimensional centred maximal function diminishes the variation of indicator functions.** _J. Geom. Anal._ 35, 256 (2025). 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). []() | **Endpoint Solobev Bounds for the Uncentered Fractional Maximal Function.** _Math. Z._ 301, No. 3, 2317--2337 (2022) []() | **Variation of the dyadic maximal Function.** _Int. Math. Res. Not._ 2023, No. 4, 3576-3596 (2023) 2020 | **Variation of the uncentered maximal characteristic Function.** _Rev. Mat. Iber._ 38, No. 3, 823-849 (2022) []() | 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. 2019 | **Almost-orthogonality of restricted Haar functions.** _Proc. Amer. Math. Soc._ 148 (2020), no. 2, 601-609. 2018 | Master's Thesis: **Almost-Orthogonality of Restricted Haar Functions.** # Invited Talks {#invited-talks .unnumbered} Date | Event ------------ | ------------------------------------------------------------------------------ 2026-03-25 | Geometric Measure Theory and Metric Geometry, University of Warwick, UK 2025-12-05 | 2025 CMS Winter meeting: Harmonic Analysis & PDE session, Toronto, Canada 2025-09-17 | ICTP Analysis Day, Trieste, Italy 2025-04-16 | Third Meeting of the UK Metric Geometry and Analysis Network, Oxford, UK, _declined because could not attend_ 2025-02-13 | Warwick Analysis Seminar, University of Warwick, UK 2025-02-05 | Virginia Tech Analysis Seminar, online, USA 2025-01-27 | Edinburgh Analysis Seminar, Edinburgh, UK 2024-07-12 | Chinese Academy of Sciences Analysis Seminar, Beijing, China 2024-06-07 | NCTS/NTNU Conference on Fractional Integrals and Related Phenomena in Analysis, Taipei, Taiwan 2024-02-08 | Mathematics Essex Seminar Series, Essex, UK 2023-10-16 | Warwick Junior Analysis and Probability Seminar, University of Warwick, UK 2023-10-09 | Birmingham Analysis Seminar, Birmingham, UK 2023-06-08 | Analysis seminar at Warwick, University of Warwick, UK 2023-05-18 | International Prague seminar on function spaces, online, Czech Republic 2023-05-08 | Jyväskylä geometric analysis seminar, Jyväskylä, Finland 2022-09-07 | IWOTA 2022: Harmonic Analysis related to Potential theory and Function Spaces session, Krakow, Poland 2022-06-17 | Izmir Mathematical Days -- IV, online, Turkey 2021-12-15 | OIST Nonlinear Analysis Seminar Series special lecture 2 2021-12-13 | OIST Nonlinear Analysis Seminar Series special lecture 1, online, Japan 2021-03-12 | UCLA Analysis and PDE Seminar, online, USA 2019-02-05 | Helsinki University, Geometric and Functional Analysis Seminar, Helsinki, Finland # Contributed Talks {#contributed-talks .unnumbered} Date | Event ------------- | -------------------------------------------------------------------------------------------- 2025-11-06 | 2nd Atlantic Conference in Nonlinear PDEs, Lisbon, Portugal 2023-06-13 | HAPDEGMT 2023, Bilbao, Spain 2022-08-20 | 28th Nordic Congress of Mathematicians, Aalto University, Finland 2022-06-07 | 11th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Madrid, Spain 2021-10-01 | Summer School on Brascamp-Lieb inequalities, Kopp, Germany 2019-07-05 | Summer School: Restriction Theory BCAM-UPV/EH, Bilbao, Spain 2018-09-04 | Summer School on Unique Continuation and Inverse Problems, Kopp, Germany 2017-10-06 | Summer School on Decoupling and Polynomial Methods in Analysis, Kopp, Germany # Further attended Events {#further-events .unnumbered} Date | Event ------------- | -------------------------------------------------------------------------------------------- 2025-06-09 | 12th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Madrid, Spain 2025-06-02 | Conference on modern aspects of Fourier Analysis, CRM, Barcelona, Spain 2025-05-26 | Advanced Course on modern aspects of Fourier Analysis, CRM, Barcelona, Spain 2024-06-22 | Geometry of Measures and Free Boundaries 2024, University of Washington, Seattle, USA # Awards {#awards .unnumbered} Date | Award ---------------------- | --------------------------------------------------------------------------------------- 2023-03-26 | Aalto University doctoral thesis award 2023 in the School of Science # Funding {#funding .unnumbered} Date | Grant | Funding body | Amount | Project title -------------------- | ------------------------------------ | ------------------------------------------------------------ | --------- | -------------------------------------- 2025-07-01 - 2027-06-30 | Marie Skłodowska-Curie postdoctoral fellowship | European commission | 176k€ | Sharp Regularity Bounds of Maximal Functions (SRMF) 2021-07-01 - 2022-06-30 | doctoral research grant | Magnus Ehrnrooth foundation of the Finnish Society of Science and Letters | 25k€ | Regularity of Maximal Operators 2020-01-01 - 2020-12-31 | doctoral scholarship | Vilho, Yrjö and Kalle Väisälä Foundation of the Finnish Academy of Science and Letters | 24k€ | Regularity of Maximal Operators 2019-01-01 - 2019-12-31 | doctoral scholarship | Vilho, Yrjö and Kalle Väisälä Foundation of the Finnish Academy of Science and Letters | 24k€ | Regularity of Maximal Operators # Teaching {#teaching .unnumbered} Date | Role | Course ----------------------- | -------------------- | --------------------------------------------------- 2025-09-08 - 2025-11-06 | Lecturer | Real Analysis, ICTP 2022-01-11 - 2022-02-21 | Head Assistant | Differential and Integral Calculus 2, Aalto University 2021-11-01 - 2021-12-10 | Head Assistant | Measure and Integral, Aalto University 2021-01-12 - 2021-02-22 | Head Assistant | Differential and Integral Calculus 2, Aalto University 2020-10-26 - 2020-12-04 | Head Assistant | Measure and Integral, Aalto University 2020-04-20 - 2020-05-18 | Head Assistant | Harmonic Analysis, Aalto University 2020-02-25 - 2020-04-07 | Head Assistant | Differential and Integral Calculus 3, Aalto University 2019-10-28 - 2019-12-05 | Head Assistant | Measure and Integral, Aalto University 2019-04-16 - 2019-05-29 | Head Assistant | Differential and Integral Calculus 3, Aalto University 2018-09-10 - 2018-12-17 | Head Assistant | Partial Differential Equations, Aalto University 2016-10-01 - 2017-02-31 | Teaching Assistant | Analysis I, Bonn 2015-04-01 - 2015-06-31 | Teaching Assistant | Analysis II, Jena 2014-10-01 - 2015-02-31 | Teaching Assistant | Lineare Algebra (Linear Algebra) I, Jena 2014-04-01 - 2014-06-31 | Teaching Assistant | Lineare Algebra für Lehramtsstudenten (Linear Algebra for teachers) II, Jena 2013-10-01 - 2014-02-31 | Teaching Assistant | Mathematik für Geo- und Materialwissenschaftler (Mathematics for Geological and Material Scientists), Jena co-organization of exam weeks at the Mathematics and Systems Analysis department at Aalto University in December 2018 and October 2019 # Other academic activity {#other-academic-activity .unnumbered} - Referee work for Mathematische Zeitschrift, Communications on Pure and Applied Analysis, Studia Mathematica, Journal of Fourier Analysis and Applications, Journal of Functional Analysis, Pure and Applied Functional Analysis and Royal Society of Edinburgh: Proceedings A, Calculus of Variations and Partial Differential Equations as well as AMS Mathematical Reviews (Mathscinet) # Remarks - The dates prior to 2018 may be inaccurate by up to 14 days.