Publications
Articles and preprints
These may
differ slightly from the published versions.
·
(with Thomas Gobet and
Cédric Lecouvey) Non symmetric Cauchy
kernels, Demazure measures and LPP.
(FPSAC 2024 poster)
Extended abstract 12pp to be published in a special volume of
the Séminaire
Lotharingien de Combinatoire.
·
(with João Santos) Cocrystals
of symplectic Kashiwara-Nakashima
tableaux, symplectic Willis like
direct way, virtual keys and applications, arXiv. arXiv:2111.11160v3, 60pp, 2024,
·
(with Thomas Gobet and
Cédric Lecouvey)
Non symmetric Cauchy kernel, crystals and last passage
percolation,
To appear in Tunisian Journal of
Mathematics (2023); https://arxiv.org/abs/2212.06587,
·
(with M. Tarighat Feller and
J. Torres) Symplectic cacti, virtualization and Berenstein-Kirillov groups.
https://arxiv.org/abs/2207.08446v3, 70pp, 2022.
·
(with
R. Mamede) A classification of monotone ribbons with
full Schur support with application to the classification of full equivalence
classes.
·
I. Terada, R.C. King, O. Azenhas, The
symmetry of Littlewood-Richardson coefficients: a new hive model involutory
bijection,
SIAM Journal
on Discrete Mathematics, Vol. 32, No. 4, pp. 2850-2899, 2018.
·
Skew RSK and
coincidence of Littlewood-Richardson commutors.
arXiv:1808.06095 DMUC 17-46 (2017) Preprint.
·
(with R.C. King and I. Terada) The involutive
nature of the Littlewood-Richardson commutativity bijection.
·
(with Aram Emami) NW-SE expansions of
non-symmetric Cauchy kernels on near
staircases and growth diagrams.
· (with Aram Emami) Growth diagrams and non-symmetric Cauchy identities on NW (SE) near staircases. (2014) in "Dynamics, Games and Science - International Conference and
Advanced School Planet Earth DGS II,"Editors: Jean-Pierre Bourguignon, Rolf Jelstch, Alberto Adrego Pinto, and Marcelo Viana, (Springer Verlag, 2015).
·
(with Aram Emami) An analogue of the Robinson-Schensted-Knuth correspondence and non-symmetric Cauchy
kernels for truncated staircases, European J. Combin. 46 (2015) 16–44;
arXiv:1310.0341
·
(with Aram Emami) Semi-skyline augmented fillings
and non-symmetric Cauchy kernels for stair-type shapes FPSAC13, Discrete
Mathematics & Theoretical Computer Science Proceedings, AS
2013, 1011--1022.
· (with Alessandro Conflitti, Ricardo Mamede), Números (coeficientes) de Littlewood-Richardson e simetrias (in Portuguese), Actas do Encontro Nacional da SPM, 2010,
Boletim da Sociedade Portuguesa de Matemática.
·
(with Ricardo Mamede), Matrix
Tableau-Pairs with Key and Shuffling Conditions, Séminaire Lotharingien de Combinatoire, 57 (2010), B57f (2010), 38 pp.
·
(with Alessandro Conflitti,
Ricardo Mamede)
Multiplicity-free skew Schur
functions with full interval support, in
Séminaire
Lotharingien de Combinatoire, 75 (2019), Article B75j, 34pp; arXiv:1009.4170v3
·
(with Ricardo Mamede),
Actions of the Symmetric Group Generated by Comparable Sets and Smith
Invariants. Séminaire Lotharingien
de Combinatoire, 59 (2010),
Article B59g, 27pp.
·
(with
Alessandro Conflitti, Ricardo Mamede), On an index two subgroup of puzzle and
Littlewood-Richardson tableau $\mathbb Z_2\times \mathbb S_3$-symmetries.
(Extended abstract), Preprint DMUC 09-51, 2009.
·
(with
Alessandro Conflitti,
Ricardo Mamede),
Linear time equivalent
Littlewood-Richardson coefficient maps. DMCTS Proceedings (Discrete
Mathematics & Theoretical Computer Science Proceedings), AK, 2009,
127-144.
·
A variation on tableau switching and a Pak-Vallejo's
Conjecture. DMCTS Proceedings (Discrete Mathematics & Theoretical
Computer Science Proceedings), AJ, 2008, 529-542.
·
(with
Ricardo Mamede) , Key polynomials, invariant factors and an action of the
symmetric group on Young tableaux. FPSAC 2007, Nankay University, Tianjin, China.
· Schur functions, pairing of parentheses, jeu de taquin and invariant factors. Mathematical papers in honour of Eduardo Marques de Sá, 7-24, Textos Mat. Sér. B, 39 Univ. Coimbra, Coimbra, 2006.
·
(with Ricardo Mamede), Matrix realizations of pairs of Young tableaux,
keys and shuffles. Séminaire Lotharingien de Combinatoire, 53 (2006), B53h, 22pp.
· (with Ricardo Mamede), Realizações matriciais de pares de tableaux de Young e palavras francas. (in Portuguese) Actas do Encontro de Algebristas Portugueses/2005,
Universidade do Minho, (2006), 19-37.
·
(with Ricardo Mamede), Action
of the symmetric group on sets of skew-tableaux with prescribed matrix
realization. Linear Algebra and Its Applications 401 (2005), 221-275.
· Littlewood-Richardson fillings and their symmetries. Matrices and group representations (Coimbra, 1998), 81-92, Textos Mat. Sér. B, 19, Univ. Coimbra, Coimbra, 1999.
·
(with João Filipe Queiró, Eduardo Marques de Sá, Ana Paula Santana), Interlacing of eigenvalues
and invariant factors. Mathematical Inequalities and Applications, 3
(2000) 149-154.
·
The
admissible interval for the invariant factors of a product of matrices. Linear
and Multilinear Algebra 46 (1999) 51-99.
·
Opposite
Littlewood-Richardson sequences and their matrix realizations. Linear
Algebra and Its Applications, 225 (1995) 91-116.
·
Littlewood-Richardson
rule: Generalizations and matrix realizations (in Portuguese) Proceedings of
the 3rd Meeting of the Portuguese Algebraists, Coimbra (1993).
·
(with
Eduardo Marques de Sá), Matrix
realizations of Littlewood-Richardson sequences.
Linear and Multilinear
Algebra, 27 (1990) 229
– 242.
· A técnica de localização para desigualdades de entrelaçamento sobre um domínio de ideais principais. (in Portuguese) Actas do VII Congressso do GMEL, vol. I Coimbra, (1985), 131-139.
· Extensões de Módulos e Produtos de Matrizes. (in Portuguese) Actas das XI Jornadas
Hispano Lusas de Matemáticas, vol II Badajoz, Espanha, (1986), 27-34.
Other papers
·
On an involution on the set of Littlewood-Richardson-tableaux
and the hidden commutativity. Preprint 2005.
·
The hidden.commutativity
of Littlewood-Richardson coefficients. Preprint 2000.
Monographs
· Realizações Matriciais de Quadros de Young e suas Formas Canónicas, Ph.D. Thesis, Departamento de Matemática, Universidade de Coimbra, 1991.
· Técnicas de Localização para Factores Invariantes de Módulos e Matrizes, Master Thesis, Departamento de Matemática, Universidade de Coimbra, 1985.
Books (as co-editor)
·
Graciano de Oliveira, M. Antónia Duffner,
Olga Azenhas (editors) Special
Issue: Linear Preserver Problems, Linear and Multilinear Algebra, 48, No.4, 281- 408 (2001).
·
O. Azenhas, A. L. Duarte, J. F. Queiró,
A. P. Santana (editors), Mathematical
papers in honour of Eduardo Marques de Sá , 7-24, Textos Mat.
Sér. B, 39 Univ. Coimbra,
Coimbra, 2006.
·
(co-editor) Special Issue: Encontro Nacional da Sociedade Portuguesa de
Matemática 2012. Boletim
da Sociedade Portuguesa de Matemática
Others
· Summer School Interviews with Francesco Brenti, Christian Krattenthaler and Vic Reiner: CIM Bulletin 34, 2013
Another side
Some Photos
