Curriculum Vitae

Julian Weigt

2025-08-15

Basic Information

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

Studies and positions

Date	Position	Affiliation
2025-07-01 - 2027-06-30	Marie Skłodowska-Curie postdoctoral fellow	International Centre for Theoretical Physics Host: Dr. Emanuel Carneiro
2022-11-01 - 2025-06-30	Postdoctoral researcher	University of Warwick, PI: Dr. David Bate
2018-07-01 - 2022-10-31	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 - 2018-06-30	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 - 2015-06-30	Bachelor of Science in Mathematics	University of Jena, Advisor: Prof. Daniel Lenz, Marcel Schmidt Thesis: Measurable Equidecomposition
2011-10-01 - 2014-06-30	Bachelor of Science in Physics	University of Jena, Advisor: Prof. Bernd Brügmann, Tim Dietrich Thesis: Oppenheimer-Snyder Collapse

Publications

Year	Publication
	with P. Lahti, A geometric characterisation of absolute continuity for the local uncentered maximal function. In preparation.
	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. In preparation.
	A Vitali-type lemma for the boundary. Submitted to Bull. Lond. Math. Soc.
2025	with D. Bate, Alberti representations, rectifiability of metric spaces and higher integrability of measures satisfying a PDE. Submitted to Duke Math. J.
2024	Sobolev bounds and counterexamples for the second derivative of the maximal function in one dimension. 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), published online first, 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

Date	Event
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, Coventry, 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 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
2022-09-07	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

Date	Event
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

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

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
2025-09-08 - 2025-11-08	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

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

Remarks

The dates prior to 2018 may be inaccurate by up to 14 days.