Riccardo Pengo
Je suis un postdoc au sein de l'Institut pour l'algèbre, la théorie des nombres et les mathématiques discrètes de l'université Leibniz, à Hanovre.
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Documents
Présentation
Current affiliation
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I am a postdoc at the Institute for Algebra, Number Theory and Discrete Mathematics of the Leibniz Universität Hannover.
Brief CV
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- **2022-23**: Postdoc, MPI Bonn. Mentored by Pieter Moree.
- **2020-22**: MILYON Postdoc, ENS Lyon. Mentored by François Brunault.
- **2017-20**: PhD in Mathematics, University of Copenhagen (France). PhD thesis supervised by Ian Kiming and Fabien Pazuki.
- **2015-17**: ALGANT Master, Università degli Studi di Milano (Italy) & Leiden University (The Netherlands). Master thesis supervised by Peter Bruin.
- **2012-15**: Bachelor degree in Mathematics, Università degli Studi di Milano (Italy).
Research interests
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My primary research interests lie in arithmetic geometry, which is to say that I like to study number theoretical problems related to geometric objects, such as curves defined over the rational numbers. More precisely, I have been interested in the following topics:
- "special" values of motivic L-functions, and their connections to periods (conjectures of Beilinson and Bloch-Kato);
- Mahler measures of polynomials, and their relations to special values of L-functions (conjectures of Boyd);
- Northcott, Bogomolov and Lehmer properties for families of special values of L-functions;
- elliptic curves and abelian varieties with complex multiplication, and Galois representations associated to their torsion points.
Publications
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Entanglement in the family of division fields of elliptic curves with complex multiplicationPacific Journal of Mathematics, inPress
Article dans une revue
hal-02991146v2
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How big is the image of the Galois representations attached to CM elliptic curves?18th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, May 2021, CIRM, Luminy, Marseille, France
Communication dans un congrès
hal-03524050v1
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Irreducibility criteria for the preimages of a transverse variety under endomorphisms of products of elliptic curves2023
Pré-publication, Document de travail
hal-04266994v1
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Spanning trees in $\mathbb{Z}$-covers of a finite graph and Mahler measures2023
Pré-publication, Document de travail
hal-04257416v1
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Limits of Mahler measures in multiple variables2022
Pré-publication, Document de travail
hal-03615999v1
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On the Northcott property for special values of L-functions2021
Pré-publication, Document de travail
hal-03035215v2
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Mahler's measure and elliptic curves with potential complex multiplication2020
Pré-publication, Document de travail
hal-02991139v1
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Mahler measures, special values of L-functions and complex multiplicationNumber Theory [math.NT]. København Universiteit, 2020. English. ⟨NNT : ⟩
Thèse
tel-03037598v2
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