JCT - Faculty Research Profile - 2017-2021

22 Dr. Bagno Eli Telephone: 02-6751020 Cell phone: 054-4541627 Email: bagnoe@g.jct.ac.il Google Scholar: https://scholar.google.co.il/scholar?hl=iw&as_sdt=0%2C5&q=Eli+Bagno&btnG=&oq= Research Interests My research interests are in the field of enumerative and algebraic combinatorics. Much of my scientific work during the past years has been on bijective combinatorics, generating functions and permutation statistics. Research Objectives Primarily, I am interested in the study of permutations. This includes inter alia investigating permutation statistics over various classes of permutation groups, and exploring the structure of permutations of certain types. I am also interested in producing bijective proofs of algebraic identities. I have contributed several results on the topic of permutation statistics over the groups of coloured permutations. Peer-Reviewed Papers in Refereed Journals 1. R. M. Adin, R.M., E. Bagno, E. & Roichman, Block decomposition of permutations and Schur-positivity , J Algebr Comb (2018) 47:603–622, https://doi.org/10.1007/s10801-017-0788-9 Y. J Algebr Comb (2017). 2. R. M. Adin, E. Bagno, S. Reches, E. Eisenberg and M. Sigron, On two-sided gammapositivity for simple permutations, the electronic journal of combinatorics 25(2) (2018), #P2.38 DOI: https://doi.org/10.37236/7472 . 3. E. Bagno, R. Biagioli and D. Garber, Some identities involving second kind Stirling numbers of types B and D. The electronic journal of combinatorics, 26(3) (2019), #P3.9 DOI: https://doi.org/10.37236/8703 4. E. Bagno, S. Reches, E. Eisenberg and M. Sigron, on the poset of non-attacking king permutations. European Journal of Combinatorics. Vol. 87, June 2020, https://doi.org/10.1016/j.ejc.2020.103119. 5. Eli Bagno, Estrella Eisenberg, Shulamit Reches, and Moriah Sigron, On the sparseness of the downsets of permutations via their number of separators, ECA 1:3 (2021) Article S2R21. arXiv preprint arXiv:1905.12364 . 6. E. Bagno, R. Biagioli, F. Juhet and Y. Roichman, Block decomposition and Schur positivity of fully commutative elements in B_n, (to be published European Journal of Combinatorics). 7. E. Bagno, M. Novick and D. Garber, Worpitzky identity for Coxeter groups of types B and D. (to be published in Journal of Algebraic Combinatorics). 8. Signed partitions-a ‘balls into urns’ approach". (To be published in journal Bulletin Mathematique de Societe des Sciences Mathematiques de Roumanie).

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