CHallenges in ANalysis and GEometry, between mean and scalar curvature

Project Information

CHANGE

Grant agreement ID: 947923

DOI

10.3030/947923

EC signature date 14 September 2020

Start date 1 March 2021

End date 28 February 2027

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 342 500,00

EU contribution

€ 1 342 500,00

Coordinated by

UNIVERSITA DEGLI STUDI DI TRENTO
Italy

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (12)

Disc stackings and their Morse index

Author(s): Alessandro Carlotto, Mario B. Schulz, David Wiygul
Published in: Advanced Nonlinear Studies, Issue 25, 2025, Page(s) 756-806, ISSN 2169-0375
Publisher: Walter de Gruyter GmbH
DOI: 10.1515/ans-2023-0177

Estimating the Morse index of free boundary minimal hypersurfaces through covering arguments

Author(s): Santiago Cordero-Misteli, Giada Franz
Published in: J. Reine Angew. Math., Issue 807 (2024), 2024, Page(s) 187-220, ISSN 1435-5345
Publisher: De Gruyter
DOI: 10.1515/crelle-2023-0087

On the stability of minimal submanifolds in conformal spheres

Author(s): Franz, Giada; Trinca, Federico
Published in: The Journal of Geometric Analysis, Issue J Geom Anal 33, 335 (2023), 2023, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-023-01398-4

Index growth not imputable to topology

Author(s): Alessandro Carlotto, Mario Schulz, David Wiygul
Published in: Proceedings of the American Mathematical Society, Issue 153, 2025, Page(s) 1787-1801, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/17151

Width Stability of Rotationally Symmetric Metrics

Author(s): Hunter Stufflebeam, Paul Sweeney
Published in: The Journal of Geometric Analysis, Issue 35, 2025, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-025-02020-5

Equivariant index bound for min-max free boundary minimal surfaces

Author(s): Giada Franz
Published in: Calcolus of Variations and Partial Differential Equations, Issue Calc. Var. 62, 201 (2023), 2021, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-023-02514-6

Attaching faces of positive scalar curvature manifolds with corners

Author(s): Alessandro Carlotto, Chao Li
Published in: Beijing Journal of Pure and Applied Mathematics, Issue 1, 2024, Page(s) 659-688, ISSN 2994-8444
Publisher: International Press of Boston
DOI: 10.4310/bpam.2024.v1.n2.a6

Infinitely many pairs of free boundary minimal surfaces with the same topology and symmetry group

Author(s): Alessandro Carlotto, Mario B. Schulz, David Wiygul
Published in: Memoirs of the American Mathematical Society, Issue Volume 313, Number 1591, 2025, ISSN 0065-9266
Publisher: American Mathematical Society
DOI: 10.48550/arxiv.2205.04861

Constrained deformations of positive scalar curvature metrics, II

Author(s): Carlotto, Alessandro; Li, Chao
Published in: Communications on Pure and Applied Mathematics, 2023, ISSN 1097-0312
Publisher: Wiley Periodicals, LLC.
DOI: 10.1002/cpa.22153

Spectral estimates for free boundary minimal surfaces via Montiel-Ros partitioning methods

Author(s): Alessandro Carlotto, Mario B. Schulz, David Wiygul
Published in: Analysis & PDE, Issue 18 (2025), 7, 2025, Page(s) 1715-1768, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.48550/arxiv.2301.03055

Minimal hypertori in the four-dimensional sphere

Author(s): Carlotto, Alessandro; Schulz, Mario B.
Published in: Ars Inveniendi Analytica, Issue (2023) Paper No. 8, 33 pp, 2023, ISSN 2769-8505
Publisher: Ars Inveniendi
DOI: 10.15781/gtrt-v523

A note about isotopy and concordance of positive scalar curvature metrics on compact manifolds with boundary

Author(s): Alessandro Carlotto, Chao Li
Published in: Symmetry, Integrability and Geometry: Methods and Applications, Issue 20 (2024), paper 014, 2024, ISSN 1815-0659
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.48550/arxiv.2306.17760

Other (11)

A Smooth Intrinsic Flat Limit of with Negative Curvature

Author(s): Jared Krandel, Paul Sweeney Jr
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2406.15332

Genus one critical catenoid

Author(s): Giada Franz, Daniel Ketover, Mario B. Schulz
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2409.12588

A new family of minimal surfaces of even genus in the three-dimensional sphere

Author(s): Mario B. Schulz, David Wiygul
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2507.22531

Free boundary minimal Möbius bands in toroids

Author(s): Mario B. Schulz
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2410.05781

Isosystolic Inequalities for Holomorphic Chains in \mathbb{C}P^{n}

Author(s): Luciano L. Junior
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2507.23156

Positive curvature conditions on contractible manifolds

Author(s): Paul Sweeney Jr
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2507.15719

Topological control for min-max free boundary minimal surfaces

Author(s): Giada Franz, Mario B. Schulz
Published in: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2307.00941

Second-order mass estimates for static vacuum metrics with small Bartnik data

Author(s): David Wiygul
Published in: to appear on Advances in Theoretical and Mathematical Physics, 30 pp., 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2110.12771

Equivariant free boundary minimal discs and annuli in ellipsoids

Author(s): Mario B. Schulz
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2406.13465

A partial characterization of the Choe-Soret desingularizations of Clifford tori

Author(s): Nikolaos Kapouleas, David Wiygul
Published in: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2306.09159

Non-persistence of strongly isolated singularities, and geometric applications

Author(s): Alessandro Carlotto, Yangyang Li, Zhihan Wang
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2411.12677

Thesis and dissertations (1)

Contributions to the theory of free boundary minimal surfaces- PhD Thesis

Author(s): Giada Franz
Published in: 2022
Publisher: arXiv
DOI: 10.3929/ethz-b-000579329