Algebra
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Artículo
A generalisation of the Phase Kick-Back
(Springer, 2023-03-13)In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical ...
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All linear symmetries of the SU(3) tensor multiplicities
(IOP Science, 2024)The SU(3) tensor multiplicities are piecewise polynomial of degree 1 in their labels. The pieces are the chambers of a ...
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Vector partition functions and Kronecker coefficients
(IOP Science, 2021-04-01)The Kronecker coefficients are the structure constants for the restriction of irreducible representations of the general ...
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Partial symmetries of iterated plethysms
(Springer, 2023-05-03)This work highlights the existence of partial symmetries in large families of iterated plethystic coefficients. The ...
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Necessary conditions for the positivity of Littlewood–Richardson and plethystic coefficients
(Académie des Sciences, 2023-01-26)We give necessary conditions for the positivity of Littlewood–Richardson coefficients and SXP coefficients. We deduce ...
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Rectangular symmetries for coe cients of symmetric functions
(The Electronic Journal of Combinatorics, 2015-07-31)We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coe cients, Kronecker ...
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A comment of the combinatorics of the vertex operator Γ(t|X)
(Project euclid, 2019-12-08)The Jacobi--Trudi identity associates a symmetric function to any integer sequence. Let Γ(t|X) be the vertex operator ...
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Combinatorics on a family of reduced Kronecker coefficients
(Académie des Sciences, 2015-08-28)The reduced Kronecker coefficients are particular instances of Kronecker coefficients, that nevertheless contain enough ...
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Extreme Khovanov spectra
(EUROPEAN MATHEMATICAL SOC, 2019-09-28)We prove that the spectrum constructed by González-Meneses, Manchón and the second author is stably homotopy equivalent to the Khovanov spectrum of Lipshitz and Sarkar at its extreme quantum grading.
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Tesis Doctoral
On homotopical algebra and quantum field theories
(2023-07-21)Esta memoria está dedicada al estudio de la teoría de homotopía de álgebras operádicas y sus aplicaciones en teoría ...
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The conjugacy stability problem for parabolic subgroups in artin groups
(Springer, 2022-09-14)Given an Artin group A and a parabolic subgroup P, we study if every two elements of P that are conjugate in A, are also ...
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Commensurability in Artin groups of spherical type
(EMS Press, 2021-06-29)We give an almost complete classification of Artin groups of spherical type up to commensurability. Let A and A0 be two ...
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Parabolic subgroups of large-type Artin groups
(Cambridge University Press, 2022-09-12)We show that the geometric realisation of the poset of proper parabolic subgroups of a large-type Artin group has a systolic ...
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An Effective Criterion for Finite Monodromy of ℓ-Adic Sheaves
(Springer, 2023-02-01)We provide an effective version of Katz’ criterion for finiteness of the monodromy group of a lisse, pure of weight zero, -adic sheaf on a normal variety over a finite field, depending on the numerical complexity of the sheaf.
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Limits of sequences of Pseudo-Anosov maps and of hyperbolic 3–manifolds
(MSP, 2021-08-11)There are two objects naturally associated with a braid β∈Bn of pseudo-Anosov type: a (relative) pseudo-Anosov homeomorphism ...
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Key polynomials for simple extensions of valued fields
(Worldwide Center of Mathematics, 2022-05-28)In this paper we present a refined version of MacLane's theory of key polynomials, similar to those considered by M. ...
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Capítulo de Libro
Hasse–Schmidt derivations versus classical derivations
(American Mathematical Society, 2020-01-17)In this paper we survey the notion and basic results on multivariate Hasse–Schmidt derivations over arbitrary commutative ...
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Dwork families and D-modules
(Cornell University, 2019-06-01)A Dwork family is a one-parameter monomial deformation of a Fermat hypersurface. In this paper we compute algebraically ...
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Monomial discrete valuations in k[[X]]
(Cornell University, 2003-07-17)Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute explicitly the residue field of the valuation.