Preprint
2023
Repository Open Access
A journey in the world of geometry and algebra : lecture 1
inBook
2023
Repository Open Access
Birational maps and Nori motives
In: Essays in geometry : dedicated to Norbert A'Campo / Athanase Papadopoulos (ed.)Berlin : EMS Press, 2023. - pp. 761-780
(IRMA lectures in mathematics and theoretical physics ; 34)
inJournal
2023
Repository Open Access
Certifying zeros of polynomial systems using interval arithmetic
In: ACM transactions on mathematical software, 49 (2023) 1, p. 11inJournal
2023
Repository Open Access
Lines on \(p\)-adic and real cubic surfaces
In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 93 (2023) 2, pp. 149-162inJournal
2023
Modular Nori motives
In: P-adic numbers, ultrametric analysis, and applications, 15 (2023) 3, pp. 187-194inJournal
2023
Repository Open Access
Moufang patterns and geometry of information
In: Pure and applied mathematics quarterly, 19 (2023) 1, pp. 149-189Preprint
2023
Repository Open Access
On Frobenius structures in symmetric cones
inBook
2023
Poisson geometry of the statistical Frobenius manifold
In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part II / Frank Nielsen... (eds.)Cham : Springer, 2023. - pp. 165-172
(Lecture notes in computer science ; 14072)
inBook
2022
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Algebraic properties of the information geometry's fourth Frobenius manifold
In: Advances in information and communication : proceedings of the 2022 future of information and communication conference (FICC), volume 1 / Kohei Arai (ed.)Cham : Springer, 2022. - pp. 356-370
(Lecture notes in networks and systems ; 438)
inJournal
2022
Journal Open Access
Genus zero modular operad and absolute Galois group
In: North-Western European journal of mathematics, 8 (2022), pp. 25-60inJournal
2022
Repository Open Access
Geometry of information : classical and quantum aspects
In: Theoretical computer science, 908 (2022), pp. 2-27Preprint
2022
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Hidden symmetries of the Grothendieck-Teichmüller group
Preprint
2022
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Manin conjecture for statistical pre-Frobenius manifolds, hypercube relations and motivic Galois group in coding
Preprint
2022
Repository Open Access
Multi-degrees in polynomial optimization
inBook
2022
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Quantum operads
In: Dialogues between physics and mathematics : C. N. Yang at 100 / Mo-Lin Ge... (eds.)Cham : Springer, 2022. - pp. 113-145
Preprint
2022
Repository Open Access
Quantum SUSY operads
Preprint
2022
Repository Open Access
Symplectic and Poisson geometry of the information geometry's Frobenius manifold
Preprint
2021
Repository Open Access
A note on exponential varieties, statistical manifolds and Frobenius structures
inBook
2021
At the frontiers of reality and imagination : when the brain is tricked
In: L'Op Art rencontre les neurosciencesLausanne : Favre, 2021. - pp. 48-57
inBook
2021
Repository Open Access
Dessins for modular operads and the Grothendieck-Teichmüller group
In: Topology and geometry : a collection of essays dedicated to Vladimir G. Turaev / Athanase Papadopoulos (ed.)Berlin : European Mathematical Society, 2021. - pp. 537-560
(IRMA lectures in mathematics and theoretical physics ; 33)
inBook
2021
Repository Open Access
Frobenius statistical manifolds and geometric invariants
In: Geometric science of information : 5th international conference, GSI 2021, Paris, France, July 21-23, 2021, proceedings / Frank Nielsen... (eds.)Cham : Springer, 2021. - pp. 565-573
(Lecture notes in computer science ; 12829)
Preprint
2021
Repository Open Access
Pseudo-elliptic geometry of a class of Frobenius-manifolds and Maurer-Cartan structures
inJournal
2020
Journal Open Access
\(F\)-manifolds and geometry of information
In: The bulletin of the London Mathematical Society, 52 (2020) 5, pp. 777-792Preprint
2020
Repository Open Access
Čech cover of the complement of the discriminant variety II : deformations of Gauss-skizze
inBook
2020
Métamorphoses de dessins de polynômes complexes
In: Art et mathématiques : modélisations mathématiques et transformations artistiques des données du réel / Yann Toma... (eds.)Paris : Editions Jannink, 2020. - pp. 80-87