Effective Methods in Tame Geometry and Applications in Arithmetic and Dynamics

Project Information

EffectiveTG

Grant agreement ID: 802107

DOI

10.3030/802107

Project closed

EC signature date 20 August 2018

Start date 1 September 2018

End date 29 February 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 155 027,00

EU contribution

€ 1 155 027,00

Coordinated by

WEIZMANN INSTITUTE OF SCIENCE
Israel

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 (21)

The Yomdin–Gromov Algebraic Lemma Revisited

Author(s): Gal Binyamini; Dmitry Novikov
Published in: Arnold Mathematical Journal, Issue 3, 2021, Page(s) 419-430, ISSN 2199-6806
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s40598-021-00176-w

Newton Polyhedra and Stratified Resolution of Singularities in the Class of Generalized Power Series

Author(s): Jesús Palma-Márquez
Published in: Arnold Mathematical Journal, 2023, ISSN 2199-6806
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s40598-023-00241-6

Dihedral monodromy of cone spherical metrics

Author(s): Gendron, Quentin; Tahar, Guillaume
Published in: Illinois Journal of Mathematics, Issue 3, 2023, ISSN 0019-2082
Publisher: University of Illinois at Urbana-Champaign, Department of Mathematics
DOI: 10.1215/00192082-10678812

Linear first order differential operators and their Hutchinson invariant sets

Author(s): Per Alexandersson; Nils Hemmingsson; Dmitry Novikov; Boris Shapiro; Guillaume Tahar
Published in: Journal of Differential Equations, Issue 9, 2024, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2024.01.018

Fluctuations for zeros of Gaussian Taylor series

Author(s): Avner Kiro; Avner Kiro; Alon Nishry
Published in: Journal of the London Mathematical Society, Issue 3, 2021, ISSN 1469-7750
Publisher: Wiley
DOI: 10.1112/jlms.12457

Wilkie's conjecture for Pfaffian structures

Author(s): Binyamini, Gal; Novikov, Dmitry; Zack, Benny
Published in: Annals of Mathematics, Issue 2, 2024, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2024.199.2.5

Différentielles abéliennes à singularités prescrites

Author(s): Quentin Gendron; Guillaume Tahar
Published in: Journal de l’École polytechnique — Mathématiques, Issue 8, 2021, ISSN 2270-518X
Publisher: Cellule MathDoc/CEDRAM
DOI: 10.5802/jep.174

Horizon saddle connections and Morse–Smale dynamics of dilation surfaces

Author(s): Tahar, Guillaume
Published in: Journal of Modern Dynamics, 2023, ISSN 1930-532X
Publisher: American Institute of Mathematical Sciences (AIMS)
DOI: 10.3934/jmd.2023012

Geometric Decompositions of Surfaces with Spherical Metric and Conical Singularities

Author(s): Tahar, Guillaume
Published in: The Quarterly Journal of Mathematics, Issue 2, 2021, ISSN 1464-3847
Publisher: Oxford University Press (OUP)
DOI: 10.1093/qmath/haab047

Effective computations for weakly optimal subvarieties

Author(s): Gal Binyamini; Christopher Daw
Published in: Journal of the European Mathematical Society, 2024, ISSN 1435-9863
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/jems/1408

Isoresidual fibration and resonance arrangements

Author(s): Gendron, Quentin; Tahar, Guillaume
Published in: Letters in Mathematical Physics, Issue 2, 2022, ISSN 1573-0530
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s11005-022-01528-z

Some effective estimates for André–Oort in Y(1) n

Author(s): Gal Binyamini, Emmanuel Kowalski
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), Issue 0/0, 2019, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2019-0028

Complex cellular structures

Author(s): Binyamini, Novikov
Published in: Annals of Mathematics, Issue 190/1, 2019, Page(s) 145, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2019.190.1.3

Lower bounds for Galois orbits of special points on Shimura varieties: a point-counting approach

Author(s): Gal Binyamini, Harry Schmidt, Andrei Yafaev
Published in: Mathematische Annalen, Issue 385, 2023, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-021-02309-0

Bounds for Rational Points on Algebraic Curves, Optimal in the Degree, and Dimension Growth

Author(s): Binyamini, Gal; Cluckers, Raf; Novikov, Dmitry
Published in: "International Mathematics Research Notices, In press, ⟨10.1093/imrn/rnae034⟩", Issue 22, 2024, ISSN 1687-0247
Publisher: Oxford University Press (OUP)
DOI: 10.1093/imrn/rnae034

Effective André-Oort for non-compact curves in Hilbert modular varieties

Author(s): Binyamini, Gal; Masser, David
Published in: Comptes Rendus. Mathématique, Issue 3, 2021, Page(s) 313-321, ISSN 1778-3569
Publisher: Cellule MathDoc/Centre Mersenne
DOI: 10.5802/crmath.177

Effective Cylindrical Cell Decompositions for Restricted Sub-Pfaffian Sets

Author(s): Gal Binyamini, Nicolai Vorobjov
Published in: International Mathematics Research Notices, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa285

Point counting and Wilkie’s conjecture for non-Archimedean Pfaffian and Noetherian functions

Author(s): Binyamini, Gal; Cluckers, Raf; Novikov, Dmitry
Published in: Duke Mathematical Journal, Issue 9, 2022, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2022-0013

Sharp Estimates for Blowing Down Functions in a Denjoy–Carleman Class

Author(s): da Silva, André Belotto; Bierstone, Edward; Kiro, Avner
Published in: International Mathematics Research Notices, Issue 16, 2021, ISSN 1687-0247
Publisher: Oxford University Press (OUP)
DOI: 10.1093/imrn/rnaa367

On Limit Sets for Geodesics of Meromorphic Connections

Author(s): Novikov, Dmitry; Shapiro, Boris; Tahar, Guillaume
Published in: Journal of Dynamical and Control Systems, Issue 1, 2021, ISSN 1573-8698
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s10883-021-09584-9

Point counting for foliations over number fields

Author(s): Gal Binyamini
Published in: Forum of Mathematics, Pi, Issue 10, 2022, ISSN 2050-5086
Publisher: Cambridge University Press (CUP)
DOI: 10.1017/fmp.2021.20