Per Alexandersson

List of publications and preprints

  1. (w. Frether Getachew) An involution on derangements, (arxiv)
  2. (w. Olivia Nabawanda) Peaks are preserved under run-sorting, Enumerative Combinatorics and Applications 9, No.1, Article S2R2 (2021).
  3. (w. Svante Linusson, Samu Potka and Joakim Uhlin) Refined Catalan and Narayana cyclic sieving, (arxiv)
  4. (w. Ezgi Kantarci Oğuz and Svante Linusson) Promotion and cyclic sieving on families of SSYT, (arxiv) (accepted to Arkiv för matematik)
  5. (w. Robin Sulzgruber) A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions, (arxiv)
  6. (w. Stephan Pfannerer and Martin Rubey and Joakim Uhlin) Skew characters and cyclic sieving, Forum of Mathematics, Sigma 9, e41 (2021)
  7. NP-complete variants of some classical graph problems, (arxiv)
  8. (w. Jim Haglund and George Wang) Some conjectures on the Schur expansion of Jack polynomials (full paper version), Journal of Combinatorics 12, No.2 (2021)
  9. (w. Luis Angel González-Serrano, Egor A. Maximenko, Mario Alberto Moctezuma-Salazar) Symmetric Polynomials in the Symplectic Alphabet and the Change of Variables $z_j = x_j + x_j^{-1}$, Electronic Journal of Combinatorics 28, No.1 (2021)
  10. (w. V. Féray) A positivity conjecture on the structure constants of shifted Jack functions, (arxiv) (accepted to proceedings of Open problems in Algebraic Combinatorics, 2020).
  11. (w. Petter Restadh) LaserTank is NP-complete, In proceedings of Mathematical Aspects of Computer and Information Sciences (2020) 333–338.
  12. (w. Joakim Uhlin) Cyclic sieving, skew Macdonald polynomials and Schur positivity, Algebraic Combinatorics 3, No.4 (2020) 913–939
  13. LLT polynomials, elementary symmetric functions and melting lollipops, Journal of Algebraic Combinatorics, 53, No.2 April (2020).
  14. (w. Svante Linusson and Samu Potka) The cyclic sieving phenomenon on circular Dyck paths, Electronic Journal of Combinatorics 26, No.4 (2019)
  15. (w. Elie Alhajjar) Ehrhart positivity and Demazure characters, In Algebraic and Geometric Combinatorics on Lattice Polytopes. World Scientific, June 2019.
  16. (w. Robin Sulzgruber) P-partitions and p-positivity, International Mathematics Research Notices (2019)
  17. (w. Linus Jordan) Enumeration of border-strip decompositions, Journal of Integer Sequences 22, No.4 (2019) 1–20
  18. (w. Jim Haglund and George Wang) On the Schur expansion of Jack polynomials (extended abstract), Séminaire Lotharingien de Combinatoire 80B, No.90 (2018) 1–12
  19. (w. Nima Amini) The Cone of Cyclic Sieving Phenomena, Discrete Mathematics, 342, No.6 (2019) 1581–1601
  20. (w. Mehtaab Sawhney) Properties of non-symmetric Macdonald polynomials at $q=1$ and $q=0$, Annals of Combinatorics 23, No.2 (2019) 219–239
  21. (w. Greta Panova) LLT polynomials, chromatic quasisymmetric functions and graphs with cycles, Discrete Mathematics 341, No.12 (2018) 3453–3482
  22. (w. Mehtaab Sawhney) A major-index preserving map on fillings, Electronic Journal of Combinatorics 24, No.4 (2017)
  23. Polytopes and large counterexamples, Experimental Mathematics, 28, No.1 (2019) 115–120
  24. Non-symmetric Macdonald polynomials and Demazure–Lusztig operators, Séminaire Lotharingien de Combinatoire, 76 (2019)
  25. (w. V. Féray) Shifted symmetric functions and multirectangular coordinates of Young diagrams, Journal of Algebra 483 (2017), 262–305
  26. Polynomials defined by tableaux and linear recurrences, Electronic Journal of Combinatorics 23, No.1 (2016)
  27. Gelfand–Tsetlin polytopes and the integer decomposition property, European Journal of Combinatorics, 54, (2016)
  28. A combinatorial proof the skew K-saturation theorem, Discrete Mathematics 338 No.1 (2015), 93–102
  29. (w. B. Shapiro) Around Multivariate Schmidt–Spitzer Theorem, Linear Algebra and its Applications 446 (2014), 356–368
  30. Stretched skew Schur polynomials are recurrent, Journal of Combinatorial Theory, Series A 122 (2014) 1–8.
  31. Schur polynomials, banded Toeplitz matrices and Widom's formula, Electronic Journal of Combinatorics 19, No.4 (2012)
  32. (w. B. Shapiro) Discriminants, symmetrized graph monomials, and sums of squares, Experimental Mathematics 21 No. 4 (2012) 353–361
  33. On eigenvalues of the Schrödinger operator with an even complex-valued polynomial potential, Comput. Methods Funct. Theory 12 No.2 (2012) 465–481
  34. (w. A. Gabrielov) On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential, Comput. Methods Funct. Theory 12 No.1 (2012) 119–144

Student projects I have supervised

  • Daniel Kurland An Exploration of Key Polynomials. Honors' thesis 2015, University of Pennsylvania.
  • Linus Jordan Enumeration of border-strip decompositions Bachelor thesis 2018, KTH. This has been extended and published as a joint paper.
  • Joakim Uhlin, Combinatorics of Macdonald Polynomials and Cyclic Sieving Master thesis 2019, KTH. This has been extended and published as a joint paper.
  • Basam Al Naschéa Cyclic Sieving Phenomenon on Colorings of Cycle Graphs Bachelor thesis 2020, SU.
  • Benjamin Khademi Cyclic sieving on closed walks in abelian Cayley graphs Bachelor thesis 2020, SU.
  • Martin Willert Three Families Indexed by Catalan Objects Bachelor thesis 2020, SU.
  • Can Izgi Den linjära programmeringens fader Bachelor thesis 2021, SU.