Publications

Articles and preprints

These may differ slightly from the published versions.

·        (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.

 arXiv:1812.04705

 

·        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.      

              arXiv:1603.05037

     

·        (with Aram Emami) NW-SE  expansions of non-symmetric Cauchy kernels on  near staircases and  growth diagrams.

          arXiv:1412.0420

 

·        (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

           Mathematical Cartoons 

1-    TopCom Volume 11, #1, 2006    

2-     To S.S.

3-    CIM bulletin 7 1999

4-    CIM bulletin 5 1998

 

            
            Another side

 

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