email : simon.jubert [at] sorbonne-universite.fr

Click here to download my CV (ou ici  pour la version française). 

New preprint (with Chenxi Yin): Relative uniform Yau--Tian--Donaldson correspondence for projective bundles over a curve, arXiv:2602.13133.

Positions

I am currently a postdoctoral researcher at  IMJ-PRG , Sorbonne Université (Paris), for the period September 2023 to September 2026. I work with  Eleonora Di Nezza.  

I am visiting Eleonora Di Nezza at Tor Vergata University (Roma) for the period January–September 2026.

I was a  PhD student at the Université du Québec à Montréal (UQAM) and  at the Université de Toulouse III (UT3) under the co-supervision of Vestislav Apostolov  and Eveline Legendre .  I defended my PhD thesis entitled "Yau--Tian--Donaldson correspondence on a class of toric fibrations" the 21 of June 2023. 

Research interests

My research interests lie in complex differential geometry and geometric analysis. 

Examples of topics include:

• Existence of canonical metrics on compact complex manifolds. I mainly use variational approaches.

• Stability of complex manifolds with large symmetry group (including fibrations with special curvature and toric manifolds).

As a recent direction, I also study:

• The generalization of the above notions to singular varieties.

• Dynamical approach to canonical metrics (as Kahler--Ricci flow).

• Canonical metrics on non-compact complex manifolds.

Publication and pre-print

The list of my pre-print is here

• Relative uniform Yau--Tian--Donaldson correspondence for projective bundles over a curve (2026), arXiv:2602.13133 (with Chenxi Yin).

• Numerical invariants for weighted cscK metrics, arXiv:2503.01680 (2025),  (with Thibaut Delcroix).

The list of my publications is here

• Weighted cscK metric (II): the continuity method , (with Eleonora Di Nezza and Abdellah Lahdili), Journal für die reine und angewandte Mathematik (Crelle’s Journal) 832 (2026), 255–296.

• Weighted cscK metric (I): a priori estimates,  Journal of Functional Analysis, 289 (11) 2025 (with Eleonora Di Nezza and Abdellah Lahdili). 

• An effective weighted K-stability condition for polytopes and semisimple principal toric fibrations,  Annales Henri Lesbegue,  6 (2023) 117-149. (with Thibaut Delcroix). 

• A Yau--Tian--Donaldson correspondence on a class of toric fibrations, Annales de l'Institut Fourier, 73 (2023) no. 6, pp. 2567-2604. 

• Weighted K-stability and coercivity with applications to extremal Kähler and Sasaki metrics,  Geometry & Topology, 27 (2023) 8, 3229-3302 (with Vestislav Apostolov  and Abdellah Lahdili). 

Invited talks

Talks at research seminars, reading seminars and working groups 

• ANR  Karmapolis workshop  -  (May 2026)

• Seminario di Analisi e Geometria Complessa -  (March 2026)

• Séminaire Analyse Harmonique - Université Paris-Saclay (March 2026)

• Séminaire de systèmes dynamiques et géométrie - Université d'Angers (February 2026)

• Séminaire de géométrie - Université Lyon 1 (Novemver 2025)

• Geometry, exchanges and perspectives  - Institut Henri Poincaré (2025 October)

• Deformations and fibrations - Université de Brest - France.  (2025 June)

• Weighted extremal Kähler metrics on resolutions of singularities - organisé par l'UQAM, on Zoom (2025 march)

• geofloquant : Geometric Flows and Quantization of Kähler Metrics  - Vrije Universiteit Brussel  (2025 January)

• Travaux récents sur les métriques de Kähler à courbure spéciale  - UQAM (2024 June)

• Séminaire d’Analyse et Géométrie - Sorbonne Université, France (2023 December).

• Séminaire de géométrie et tolopologie - UQAM (2023 May)

• Séminaire de géométrie - Université de Nantes (2022 December).

• Séminaire d'analyse et géométrie - Sorbonne Université (2022 November ).

• Complex analysis seminar - Gothenburg University (2022 November ).

•  Geometria em Lisboa Seminar - Instituto Superior Tecnico, Lisboa, Portugal (on Zoom, 2022 November).

•  Séminaire de géométrie  - Université de Bretagne Occidentale (2022 October).

• Young researchers in Kähler and Hermitian geometry - Faculté des Sciences de l'Université de  Montpellier (2022  June).

• Reading seminar on Weighted cscK metrics and semisimple principal fibrations (arXiv:2104.09709). Organized by Thibaut Delcroix (On Zoom, Spring 2022).

•  Séminaire Analyse Harmonique - Université Paris-Saclay (2022 April).

•  Working group on Algebraic Complex and Differential Complex Geometry, organized by Ruadhai Dervan and Lars  Martin Sektnan (On Zoom, 2021 - 2022).

• Séminaire compréhensible - Université Grenoble Alpes (2022 Januray).

• PhD Student seminar Toulouse - Université Toulouse III (2021 December).

•  Seminar in K-stability and Kähler Geometry - University of Cambridge (2021 September).

•   Cirget Junior Seminar (PhD and Master students seminar of the 4 universities on Montréal) - (On Zoom, 2020 September).

Teaching

Previously, I have taught 

• TA for a course on ODE’s, third year undergraduate degree.  Université Toulouse III (2022).

• TA for a course on Complex analysis, third year undergraduate degree.  Université Toulouse III (2021).

•  Instructor for Differential Calculus, first year undergraduate degree.   Université du Québec à Montréal (2021).

•  TA for a course on Statistics, first year undergraduate degree. Université du Québec à Montréal  (2020).

•  TA for a course on Statistics, first year undergraduate degree. Université du Québec à Montréal  (2019).

• Mathematical teacher in middle school. Collège Nelson Mandela, France (2018 - 2019).

• Colle in 2nd year of Classe Préparatoire (oral examinator for undergraduate student), Lycée Pierre de Fermat, (2017 - 2018)

When I am not doing maths

I mainly enjoy doing outdoor sports and spending time in nature (trekking, cycling, climbing, etc.). But my favorite kind of sports is board sports — especially skateboarding and surfing.

I played electronic music for 10 years under the artist name Symplectic (click if you want to listen to some old records :)). For the past few years, I’ve been desperately trying to learn the drums — I’d love to start a post-punk band.