- Anders Björner and Richard Stanley -
"the recent development of combinatorics is somewhat of a cinderella story. It used to be looked down on by “mainstream” mathematicians as being somehow less respectable than other areas, in spite of many services rendered to both pure and applied mathematics. Then along came the prince of computer science with its many mathematical problems and needs — and it was combinatorics that best fitted the glass slipper held out."
PUBLICATIONS
2022
arXiv: 2208.13091
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2021
arXiv: 2112.07070
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arXiv: 2112.07063
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arXiv: 2102.08815 (accepted by Forum of Mathematics, Pi on August 12, 2022)
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arXiv: 2102.07931 (accepted by Forum of Mathematics, Pi on August 12, 2022)
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2020
arXiv: 2007.04952
Distribution properties for t-hooks in partitions, joint with William Craig. (2020)
Annals of Combinatorics, 25(3), 677-695 (2021)
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Seminaire Lotharingien de Combinatoire 84B (2020), Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics (Online) 2020, Article 21.
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2019
Res. Number Theory, 7(1):Paper No. 5, 7, 2021.
Note: Hermite's criterion on page 2 is not stated correctly. It should be ``f is hyperbolic if and only if M(f) is positive definite." The error has no bearing on any results in the paper.
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2018
2016
(Journal of AMS, Volume 32, Number 4, October 2019, Pages 921–963
DOI: https://doi.org/10.1090/jams/921)
(Advances in Mathematics, Volume 371, 16 September 2020, 107209
DOI: https://doi.org/10.1016/j.aim.2020.107209)
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On Deposition of the Product of Demazure Atoms and Demazure Characters
arXiv: 1606.02291
Decomposition of the product of a monomial and a Demazure atom
Discrete Math. Theor. Comput. Sci., Proceedings of the FPSAC 2016 conference, volume (2016), 1015-1026.
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2012
Designs, Codes and Cryptography (2012), 64, 255 -263.