Frédéric Chapoton
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Frédéric Chapoton has a total of 141 co-authors. Here are the top co-authors by number of shared publications:
- Baptiste Rognerud
Institut de Recherche Mathématique Avancée, CNRS UMR 7501, Université de Strasbourg, Strasbourg Cedex, France
2 shared publications - Bruno Vallette
Université de Nice Sophia-Antipolis
2 shared publications - Christophe Hohlweg
Lacim, Université du Québec à Montréal, Montréal, Quebec, Canada
2 shared publications - Florent Hivert
Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes
2 shared publications - Hugh Thomas
Université du Québec à Montréal, Montreal, Canada
2 shared publications - Jean-Christophe Novelli
Université Paris-Est Marne-la-Vallée
2 shared publications
Latest Publications
- 10 September 2026
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 165 (10)
The Python simulations of chemistry framework: 10 years of an open-source quantum chemistry project
Over the past decade, the Python-based Simulations of Chemistry Framework (PySCF) has developed into a widely used open-source platform for electronic-structure theory and quantum chemical method development. This article reviews the major advances since the previous overview in 2020, covering new modules and methodology, infrastructure changes, and performance benchmarks.
- 10 September 2026
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 165 (10)
The Python simulations of chemistry framework: 10 years of an open-source quantum chemistry project
Over the past decade, the Python-based Simulations of Chemistry Framework (PySCF) has developed into a widely used open-source platform for electronic-structure theory and quantum chemical method development. This article reviews the major advances since the previous overview in 2020, covering new modules and methodology, infrastructure changes, and performance benchmarks.
- Open Access
- 29 September 2025
- Published by Centre pour la Communication Scientifique Directe (CCSD) in Épijournal de Géométrie Algébrique
- Vol. ume 9
Motives of central slope Kronecker moduli
We use dualities of quiver moduli induced by reflection functors to describe generating series of motives of Kronecker moduli spaces of central slope as solutions of algebraic and q-difference equations.15 pages; v2: several small improvements to the presentation; v3: more slight improvements to the presentation, v4: published version
- 29 September 2025
- Published by Centre pour la Communication Scientifique Directe (CCSD) in Épijournal de Géométrie Algébrique
- Vol. ume 9
Open AccessMotives of central slope Kronecker moduli
We use dualities of quiver moduli induced by reflection functors to describe generating series of motives of Kronecker moduli spaces of central slope as solutions of algebraic and q-difference equations.15 pages; v2: several small improvements to the presentation; v3: more slight improvements to the presentation, v4: published version
- Open Access
A note on Dirichlet-like series attached to polynomials
Some Dirichlet-like functions, attached to a pair (periodic function, polynomial) are introduced and studied. These functions generalize the standard Dirichlet L-functions of Dirichlet characters. They have similar properties, being holomorphic on thefull complex plane and having simple values on negative integers.
Open AccessA note on Dirichlet-like series attached to polynomials
Some Dirichlet-like functions, attached to a pair (periodic function, polynomial) are introduced and studied. These functions generalize the standard Dirichlet L-functions of Dirichlet characters. They have similar properties, being holomorphic on thefull complex plane and having simple values on negative integers.
- Open Access
A note on Dirichlet-like series attached to polynomials
Some Dirichlet-like functions, attached to a pair (periodic function, polynomial) are introduced and studied. These functions generalize the standard Dirichlet L-functions of Dirichlet characters. They have similar properties, being holomorphic on thefull complex plane and having simple values on negative integers.
Open AccessA note on Dirichlet-like series attached to polynomials
Some Dirichlet-like functions, attached to a pair (periodic function, polynomial) are introduced and studied. These functions generalize the standard Dirichlet L-functions of Dirichlet characters. They have similar properties, being holomorphic on thefull complex plane and having simple values on negative integers.
- 1 August 2024
- Published by Taylor & Francis in Experimental Mathematics
- Vol. 34 (3) , 384-403
Continued Fractions, Orthogonal Polynomials and Dirichlet Series
- 1 August 2024
- Published by Taylor & Francis in Experimental Mathematics
- Vol. 34 (3) , 384-403
Continued Fractions, Orthogonal Polynomials and Dirichlet Series
- Open Access
Intervals in the greedy Tamari posets
We consider a greedy version of the $m$-Tamari order defined on $m$-Dyck paths, recently introduced by Dermenjian. Inspired by intriguing connections between intervals in the ordinary 1-Tamari order and planar triangulations, and more generally by the existence of simple formulas counting intervals in the ordinary $m$-Tamari orders, we investigate the number of intervals in the greedy order on $m$-Dyck paths of fixed size. We find again a simple formula, which also counts certain planar maps (of prescribed size) called $(m+1)$-constellations. For instance, when $m=1$ the number of intervals in the greedy order on 1-Dyck paths of length $2n$ is proved to be $\frac{3\cdot 2^{n-1}}{(n+1)(n+2)} \binom{2n}{n}$, which is also the number of bipartite maps with $n$ edges. Our approach is recursive, and uses a ``catalytic'' parameter, namely the length of the final descent of the upper path of the interval. The resulting bivariate generating function is algebraic for all $m$. We show that the same approach can be used to count intervals in the ordinary $m$-Tamari lattices as well. We thus recover the earlier result of the first author, Fusy and Préville-Ratelle, who were using a different catalytic parameter.Open AccessIntervals in the greedy Tamari posets
We consider a greedy version of the $m$-Tamari order defined on $m$-Dyck paths, recently introduced by Dermenjian. Inspired by intriguing connections between intervals in the ordinary 1-Tamari order and planar triangulations, and more generally by the existence of simple formulas counting intervals in the ordinary $m$-Tamari orders, we investigate the number of intervals in the greedy order on $m$-Dyck paths of fixed size. We find again a simple formula, which also counts certain planar maps (of prescribed size) called $(m+1)$-constellations. For instance, when $m=1$ the number of intervals in the greedy order on 1-Dyck paths of length $2n$ is proved to be $\frac{3\cdot 2^{n-1}}{(n+1)(n+2)} \binom{2n}{n}$, which is also the number of bipartite maps with $n$ edges. Our approach is recursive, and uses a ``catalytic'' parameter, namely the length of the final descent of the upper path of the interval. The resulting bivariate generating function is algebraic for all $m$. We show that the same approach can be used to count intervals in the ordinary $m$-Tamari lattices as well. We thus recover the earlier result of the first author, Fusy and Préville-Ratelle, who were using a different catalytic parameter. - Open Access
- 1 January 2022
- Published by European Mathematical Society - EMS - Publishing House GmbH in Documenta Mathematica
- Vol. 27, 519-533
Zinbiel algebras and multiple zeta values
We build, using the notion of Zinbiel algebra, some commutative subalgebras C_{u,v} inside an algebra of formal iterated integrals. There is a quotient map from this algebra of formal iterated integrals to the algebra of motivic multiple zeta values. Restricting this quotient map to the subalgebras C_{u,v} gives a morphism of graded commutative algebras with the same graded dimension. This is conjectured to be generically an isomorphism. When u+v = 0 , the image is instead a subalgebra of the algebra of motivic multiple zeta values.
- 1 January 2022
- Published by European Mathematical Society - EMS - Publishing House GmbH in Documenta Mathematica
- Vol. 27, 519-533
Open AccessZinbiel algebras and multiple zeta values
We build, using the notion of Zinbiel algebra, some commutative subalgebras C_{u,v} inside an algebra of formal iterated integrals. There is a quotient map from this algebra of formal iterated integrals to the algebra of motivic multiple zeta values. Restricting this quotient map to the subalgebras C_{u,v} gives a morphism of graded commutative algebras with the same graded dimension. This is conjectured to be generically an isomorphism. When u+v = 0 , the image is instead a subalgebra of the algebra of motivic multiple zeta values.
- 14 March 2020
- Published by Springer Nature
- p. 431-443
On Some Tree-Indexed Series with One and Two Parameters
- 14 March 2020
- Published by Springer Nature
- p. 431-443
On Some Tree-Indexed Series with One and Two Parameters
- Open Access
On the roots of the Poupard and Kreweras polynomials
The Poupard polynomials are polynomials in one variable with integer coefficients, with some close relationship to Bernoulli and tangent numbers. They also have a combinatorial interpretation. We prove that every Poupard polynomial has all its roots on the unit circle. We also obtain the same property for another sequence of polynomials introduced by Kreweras and related to Genocchi numbers. This is obtained through a general statement about some linear operators acting on palindromic polynomials.
Open AccessOn the roots of the Poupard and Kreweras polynomials
The Poupard polynomials are polynomials in one variable with integer coefficients, with some close relationship to Bernoulli and tangent numbers. They also have a combinatorial interpretation. We prove that every Poupard polynomial has all its roots on the unit circle. We also obtain the same property for another sequence of polynomials introduced by Kreweras and related to Genocchi numbers. This is obtained through a general statement about some linear operators acting on palindromic polynomials.
- 2 May 2018
- Published by Springer Nature in Algebras and Representation Theory
- Vol. 22 (3) , 603-614
On the Wildness of Cambrian Lattices
- 2 May 2018
- Published by Springer Nature in Algebras and Representation Theory
- Vol. 22 (3) , 603-614
On the Wildness of Cambrian Lattices