Publications
Franco V Saliola

Books

  1. Combinatorics on Words (with J Berstel, A Lauve and C Reutenauer)
    2. CRM Proceedings and Lecture Notes, 2009.

Preprints

  1. Stable set polytopes and their 1-skeleta
    (with F Aliniaeifard, C Benedetti, N Bergeron, and SX Li)

To Appear

  1. An insertion algorithm on multiset partitions with applications to diagram algebras
    (with L Colmenarejo, R Orellana, A Schilling, M Zabrocki)
    Journal of Algebra, Volume 557, 1 September 2020, Pages 97-128
  2. Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry (with S Margolis and B Steinberg)
    Memoirs of the American Mathematical Society, to appear.

Publications

  1. Spectral analysis of random-to-random Markov chains (with A B Dieker)
    Advances in Mathematics, Volume 323, 7 January 2018, Pages 427-485.
  2. Multiplicative structures of the immaculate basis of non-commutative symmetric functions (with Chris Berg, Nantel Bergeron, Luis Serrano, Mike Zabrocki)
    Journal of Combinatorial Theory, Series A, Volume 152, November 2017, Pages 10-44
  3. Combinatorial Topology and the Global Dimension of Algebras Arising in Combinatorics (with Stuart Margolis, Benjamin Steinberg)
    J. Eur. Math. Soc. 17 (2015), 3037-3080.
  4. Indecomposable modules for the dual immaculate basis of quasi-symmetric functions (with Chris Berg, Nantel Bergeron, Luis Serrano, Mike Zabrocki)
    Proceedings of the American Mathematical Society, Volume 143 (2015), 991-1000
  5. Semigroups embeddable in hyperplane monoids (with S Margolis and B Steinberg)
    Semigroup Forum, August 2014, Volume 89, Issue 1, pp 236-248.
  6. Combinatorial expansions for families of non-commutative k-Schur functions
    (with Chris Berg, Luis Serrano)
    SIAM J. Discrete Math. 28-3 (2014), pp. 1074-1092.
  7. Spectra of Symmetrized Shuffling Operators (with Victor Reiner and Volkmar Welker)
    Memoirs of the American Mathematical Society, vol. 228, Amer. Math. Soc., Providence, RI, 2014, pp. 1-121.
  8. Pieri operators on the affine nilCoxeter algebra (with Chris Berg and Luis Serrano)
    Transactions of the American Mathematical Society, Trans. Amer. Math. Soc. 366 (2014), pp. 531-546.
  9. A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions (with Chris Berg, Nantel Bergeron, Luis Serrano, Mike Zabrocki)
    Canadian Journal of Mathematics 66(2014), no. 3, 525-565.
  10. The down operator and expansions of near rectangular k-Schur functions (with Chris Berg and Luis Serrano)
    Journal of Combinatorial Theory, Series A, Volume 120, Issue 3, April 2013, Pages 623-636.
  11. Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (with several coauthors)
    Advances in Mathematics, Volume 229, Issue 4, 1 March 2012, Pages 2310-2337
  12. Eigenvectors for a random walk on a left-regular band
    Advances in Applied Mathematics, Volume 48, Issue 2, February 2012, Pages 306-311
  13. Oriented interval greedoids (with Hugh Thomas)
    Discrete & Computational Geometry, January 2012, Volume 47, Issue 1, pp 64-105
  14. Primitive orthogonal idempotents for R-trivial monoids (with C Berg, N Bergeron and S Bhargava)
    Journal of Algebra, Volume 348, Issue 1, 15 December 2011, Pages 446-461
  15. Representation theory of the higher order peak algebras (with Jean-Christophe Novelli and Jean-Yves Thibon)
    Journal of Algebraic Combinatorics, December 2010, Volume 32, Issue 4, pp 465-495.
  16. The Loewy length of the descent algebra of type D
    Algebras and Representation Theory, April 2010, Volume 13, Issue 2, pp 243-254
  17. The Face Semigroup Algebra of a Hyperplane Arrangement
    Canadian Journal of Mathematics, Volume 61 (2009), Number 4, Pages 904-929.
  18. On the quiver of the descent algebra
    Journal of Algebra, Volume 320, Issue 11, 1 December 2008, Pages 3866-3894.
  19. A note on the Markoff condition and central words (with Amy Glen, Aaron Lauve)
    Information Processing Letters, Volume 105, Issue 6, 16 March 2008, Pages 241-244
  20. The Quiver of the Semigroup Algebra of a Left Regular Band
    Int. J. Algebra Comput., 17, 1593 (2007)
  21. Constraining Plane Configurations in CAD: Circles, Lines, and Angles in the Plane (with Walter Whiteley)
    SIAM J. Discrete Math., 18(2), 246-271 (2004)

Conference Proceedings

  1. An insertion algorithm for diagram algebras (with L Colmenarejo, R Orellana, A Schilling, M Zabrocki)
    FPSAC 2020 in Ramat-Gan, Israel (Talk)
  2. Poset topology and homological invariants of algebras arising in algebraic combinatorics (with Stuart Margolis and Benjamin Steinberg)
    FPSAC 2014 in Chicago, Illinois (Talk)
  3. The immaculate basis of the non-commutative symmetric functions (with Chris Berg, Nantel Bergeron, Luis Serrano, Mike Zabrocki)
    FPSAC 2013 in Paris, France (Talk)
  4. The down operator and expansions of near rectangular k-Schur functions (with Chris Berg and Luis Serrano)
    FPSAC 2012 in Nagoya, Japan (Poster)
  5. Primitive orthogonal idempotents for R-trivial monoids (with Chris Berg, Nantel Bergeron, Sandeep Bhargava)
    FPSAC 2011 in Reykjavik, Iceland (Poster)
  6. Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (with several coauthors)
    FPSAC 2011 in Reykjavik, Iceland (Talk)

Other

  1. The Geometric Approach to the Descent Algebra (Lecture Notes, 2006).
  2. The Face Semigroup Algebra of a Hyperplane Arrangement (2006). My thesis.
  3. Some notes on the equivalence of first-order rigidity in various geometries, with Walter Whiteley.