Unlikely Intersection and Uniform Bounds for Points

Project Information

UnIntUniBd

Grant agreement ID: 945714

DOI

10.3030/945714

Project terminated on 30 September 2024

EC signature date 20 August 2020

Start date 1 September 2020

End date 31 August 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 499 916,00

EU contribution

€ 1 499 916,00

Coordinated by

GOTTFRIED WILHELM LEIBNIZ UNIVERSITAET HANNOVER
Germany

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

Non-peer reviewed articles (9)

Bi-$\overline{\mathbb{Q}}$-structures on Hermitian symmetric spaces and quadratic relations between CM periods

Author(s): Gao, Ziyang; Ullmo, Emmanuel; Yafaev, Andrei
Published in: arXiv, 2024, ISSN 2331-8422
Publisher: arXiv

Multiplicative relations among differences of singular moduli

Author(s): Aslanyan, Vahagn; Eterović, Sebastian; Fowler, Guy
Published in: arXiv, 2023, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2308.12244

Hecke orbits and the Mordell-Lang conjecture in distinguished categories

Author(s): Barroero, Fabrizio; Dill, Gabriel Andreas
Published in: arXiv, 2024, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2401.11193

The Relative Manin-Mumford Conjecture

Author(s): Gao, Ziyang; Habegger, Philipp
Published in: arXiv, 2023, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2303.05045

Around the support problem for Hilbert class polynomials

Author(s): Campagna, Francesco; Dill, Gabriel Andreas
Published in: arXiv, 2022, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2204.13461

The Uniform Mordell-Lang Conjecture

Author(s): Gao, Ziyang; Ge, Tangli; Kühne, Lars
Published in: arXiv, 2021, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2105.15085

Uniform Bogomolov Conjecture For Tori

Author(s): Di, Ruida
Published in: arXiv, 2023, ISSN 2331-8422
Publisher: arXiv

Recent developments of the Uniform Mordell-Lang Conjecture

Author(s): Gao, Ziyang
Published in: arXiv, 2021, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2104.03431

Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants

Author(s): Campagna, Francesco; Dill, Gabriel Andreas
Published in: arXiv, 2023, ISSN 2331-8422
Publisher: arXiv
DOI: 10.48550/arxiv.2308.10976

Peer reviewed articles (10)

Irreducibility criteria for the preimages of a transverse variety under endomorphisms of products of elliptic curves

Author(s): Pengo, Riccardo; Viada, Evelina
Published in: Kyoto Journal of Mathematics, Issue 1, 2024, ISSN 2156-2261
Publisher: Duke University Press
DOI: 10.48550/arxiv.2310.20665

Uniformity in Mordell–Lang for curves

Author(s): Dimitrov, Gao, Habegger
Published in: Annals of Mathematics, Issue 194/1, 2021, Page(s) 237, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2021.194.1.4

On Morphisms Between Connected Commutative Algebraic Groups over a Field of Characteristic 0

Author(s): Gabriel Dill
Published in: Transformation Groups, 2022, ISSN 1083-4362
Publisher: Birkhaeuser
DOI: 10.1007/s00031-022-09748-2

Degeneracy loci in the universal family of Abelian varieties

Author(s): Ziyang Gao, Philipp Habegger
Published in: Journal of Number Theory, 2024, ISSN 0022-314X
Publisher: Academic Press
DOI: 10.1016/j.jnt.2024.05.015

Equations in three singular moduli: The equal exponent case

Author(s): Guy Fowler
Published in: Journal of Number Theory, Issue 243, 2023, Page(s) 256-297, ISSN 0022-314X
Publisher: Academic Press
DOI: 10.1016/j.jnt.2022.09.012

The Ax-Schanuel conjecture for variations of mixed Hodge structures

Author(s): Ziyang Gao, Bruno Klingler
Published in: Mathematische Annalen, 2023, Page(s) Accepted, in the process of being published, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-023-02614-w

A consequence of the relative Bogomolov conjecture

Author(s): Vesselin Dimitrov, Ziyang Gao, Philipp Habegger
Published in: Journal of Number Theory, Issue 230, 2022, Page(s) 146-160, ISSN 0022-314X
Publisher: Academic Press
DOI: 10.1016/j.jnt.2021.03.028

Spanning trees in Z-covers of a finite graph and Mahler measures

Author(s): Pengo, R. ; https://orcid.org/0000-0003-2891-0391; Vallières, D.
Published in: Journal of the Australian Mathematical Society, Issue 1, 2024, ISSN 1446-7887
Publisher: Australian Mathematical Society

On a Galois property of fields generated by the torsion of an abelian variety

Author(s): S. Checcoli, G. A. Dill
Published in: Bulletin of the London Mathematical Society, 2024, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.13149

Generic rank of Betti map and unlikely intersections

Author(s): Ziyang Gao
Published in: Compositio Mathematica, Issue 156/12, 2020, Page(s) 2469-2509, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x20007435