Curriculum Vitae

Julian Weigt

2025-02-01

Basic Information

Name: Julian Weigt
Citizenship: German
Email: firstname.lastname@warwick.ac.uk
Address: Room B1.16,
Mathematics Institute,
Zeeman Building,
University of Warwick,
Coventry CV4 7AL,
United Kingdom
Portrait of Julian Weigt

Studies and positions

Date Position Affiliation
2025-07-01 - Marie Skłodowska-Curie postdoctoral fellow International Centre for Theoretical Physics
Host: Dr. Emanuel Carneiro
2022-11-01 - 2025-06-31 Postdoctoral researcher University of Warwick,
PI: Dr. David Bate
2018-07-01 - 2022-10-30 Doctoral Student Aalto University,
Advisor: Prof. Juha Kinnunen
Thesis: Endpoint Regularity of Maximal Functions in Higher Dimensions
date of defense: 2022-10-21
2016-10-01 - 2018-06-31 Master of Science in Mathematics University of Bonn,
Advisor: Prof. Christoph Thiele
Thesis: Almost-Orthogonality of Restricted Haar Functions
2015-09-01 - 2016-05-31 Erasmus Exchange Student Lund University
2013-10-01 - 2015-06-31 Bachelor of Science in Mathematics University of Jena,
Advisor: Prof. Daniel Lenz, Marcel Schmidt
Thesis: Measurable Equidecomposition
2011-10-01 - 2014-06-31 Bachelor of Science in Physics University of Jena,
Advisor: Prof. Bernd Brügmann, Tim Dietrich
Thesis: Oppenheimer-Snyder Collapse

Publications

Year Publication
2025 with D. Bate, Alberti representations, rectifiability of metric spaces and higher integrability of measures satisfying a PDE. Submitted.
2024 Sobolev bounds and counterexamples for the second derivative of the maximal function in one dimension. Submitted.
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), published online first, DOI 10.4171/JEMS/1575
with C. Bilz, The one-dimensional centred maximal function diminishes the variation of indicator functions. Submitted.
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

Date Event
2025-02-13 Warwick Analysis Seminar, online, USA
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 Serie, Essex, UK
2023-10-16 Warwick Junior Analysis and Probability Seminar, Coventry, UK
2023-10-09 Birmingham Analysis Seminar, Birmingham, UK
2023-06-08 Analysis seminar at Warwick, Coventry, UK
2023-05-18 International Prague seminar on function spaces, online, Czech Republic
2023-05-08 Jyväskylä geometric analysis seminar, Jyväskylä, Finland
2022-06-17 Izmir Mathematical Days – IV, online, Turkey
2021-12-15 OIST Nonlinear Analysis Seminar Series, online, Japan
2021-12-13 OIST Nonlinear Analysis Seminar Series
2021-03-12 UCLA Analysis and PDE Seminar, online, USA
2019-02-05 Helsinki University, Geometric and Functional Analysis Seminar, Helsinki, Finland

Contributed Talks

Date Event
2023-06-13 HAPDEGMT 2023, Bilbao, Spain
2022-09-07 IWOTA 2022, Krakow, Poland
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

Awards

Date Award
2023-03-26 Aalto University doctoral thesis award 2023 in the School of Science

Funding

Date Grant Funding body Project title
2025-07-01 - 2027-06-30 Marie Skłodoswka-Curie postdoctoral fellowship European commission 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 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 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 Regularity of Maximal Operators

Teaching

Date Role Course
2021-11-01 - 2021-12-10 Head Assistant Measure and Integral, Aalto University
2021-10-12 - 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
2020-04-25 - 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

Other academic activity

Remarks