Per Alexandersson List of papers

The list of all my publications and arxiv preprints.

List of publications and preprints

  1. (w. John Ahlberg) Polynomials from tilings of rectangles, (arxiv)
  2. (w. Lilan Dai) Partition division maps, symmetric functions and positivity, (arxiv)
  3. (w. Fufa Beyene, Roberto Mantaci) Some Families of Type \(B\) Set Partitions Counted by the Dowling Numbers, (arxiv)
  4. (w. Yulia Alexandr, Emiliano Liwski, Fatemeh Mohammadi and Pardis Semnani) Decomposing Determinantal Varieties from Statistics via Matroid Theory, (arxiv)
  5. (w. Aryaman Jal and Maena Quemener) Real-rootedness of rook-Eulerian polynomials, (arxiv)
  6. (w. Nils Hemmingsson and Boris Shapiro) An inverse problem in Polya–Schur theory. II. Exactly solvable operators and complex dynamics , (arxiv)
  7. (w. Aryaman Jal) Rook matroids and log-concavity of \(P\)-Eulerian polynomials, (arxiv)
  8. (w. Nils Hemmingsson, Dmitry Novikov, Boris Shapiro and Guillaume Tahar) On boundary points of minimal continuously Hutchinson invariant sets, (arxiv)
  9. (w. Olivia Nabawanda) A weighted Murnaghan–Nakayama rule for \((P, w)\)-partitions, European Journal of Combinatorics Volume 134, (2026), 104332
  10. (w. Petter Brändén and Boris Shapiro) An inverse problem in Polya–Schur theory. I. Non-degenerate and degenerate operators, Revista Matemática Iberoamericana, 2025.
  11. (w. Ezgi Kantarci Oğuz) Cylindric Schur functions, (arxiv)
  12. (w. Ryan Mickler) New cases of the Strong Stanley Conjecture, (arxiv)
  13. Free Action and Cyclic Sieving on Skew Semi-standard Young Tableaux, Bulletin of the Iranian Mathematical Society 49, No.1 (2023)
  14. (w. Sam Hopkins and Gjergji Zaimi) Restricted Birkhoff polytopes and Ehrhart period collapse, Discrete Comput. Geom. (2023)
  15. (w. Nils Hemmingsson, Dmitry Novikov, Boris Shapiro and Guillaume Tahar) Linear first order differential operators and their Hutchinson-invariant sets, Journal of Differential Equations 391, (2024) 265–320.
  16. (w. Samuel Asefa Fufa, Frether Getachew and Dun Qiu) Pattern-avoidance and Fuss–Catalan numbers, Journal of Integer Sequences 26, No.23.4.2 (2023) 1–27.
  17. (w. Frether Getachew) An involution on derangements preserving excedances and right-to-left minima, Australasian Journal of Combinatorics 26, No.3 (2023) 387–413.
  18. (w. Olivia Nabawanda) Peaks are preserved under run-sorting, Enumerative Combinatorics and Applications 9, No.1, Article S2R2 (2021).
  19. (w. Svante Linusson, Samu Potka and Joakim Uhlin) Refined Catalan and Narayana cyclic sieving, Combinatorial Theory 1 (2021)
  20. (w. Ezgi Kantarci Oğuz and Svante Linusson) Promotion and cyclic sieving on families of SSYT, Arkiv för matematik 59, No.2 (2021) 247–274.
  21. (w. Robin Sulzgruber) A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions, Advances in Mathematics 400, (2022) 108256.
  22. (w. Stephan Pfannerer and Martin Rubey and Joakim Uhlin) Skew characters and cyclic sieving, Forum of Mathematics, Sigma 9, e41 (2021)
  23. NP-complete variants of some classical graph problems, (arxiv)
  24. (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)
  25. (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)
  26. (w. V. Féray) A positivity conjecture on the structure constants of shifted Jack functions, In Open Problems in Algebraic Combinatorics, Proceedings of Symposia in Pure Mathematics 110 (2024), 51–59.
  27. (w. Petter Restadh) LaserTank is NP-complete, In proceedings of Mathematical Aspects of Computer and Information Sciences (2020) 333–338.
  28. (w. Joakim Uhlin) Cyclic sieving, skew Macdonald polynomials and Schur positivity, Algebraic Combinatorics 3, No.4 (2020) 913–939
  29. LLT polynomials, elementary symmetric functions and melting lollipops, Journal of Algebraic Combinatorics, 53, No.2 April (2020).
  30. (w. Svante Linusson and Samu Potka) The cyclic sieving phenomenon on circular Dyck paths, Electronic Journal of Combinatorics 26, No.4 (2019)
  31. (w. Elie Alhajjar) Ehrhart positivity and Demazure characters, In Algebraic and Geometric Combinatorics on Lattice Polytopes. World Scientific, June 2019.
  32. (w. Robin Sulzgruber) P-partitions and p-positivity, International Mathematics Research Notices Volume 2021, No.14 (2021) 10848–10907
  33. (w. Linus Jordan) Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes, Journal of Integer Sequences 22, No.4 (2019) 1–20
  34. (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
  35. (w. Nima Amini) The Cone of Cyclic Sieving Phenomena, Discrete Mathematics, 342, No.6 (2019) 1581–1601
  36. (w. Mehtaab Sawhney) Properties of non-symmetric Macdonald polynomials at \(q=1\) and \(q=0\), Annals of Combinatorics 23, No.2 (2019) 219–239
  37. (w. Greta Panova) LLT polynomials, chromatic quasisymmetric functions and graphs with cycles, Discrete Mathematics 341, No.12 (2018) 3453–3482
  38. (w. Mehtaab Sawhney) A major-index preserving map on fillings, Electronic Journal of Combinatorics 24, No.4 (2017)
  39. Polytopes and large counterexamples, Experimental Mathematics, 28, No.1 (2019) 115–120
  40. Non-symmetric Macdonald polynomials and Demazure–Lusztig operators, Séminaire Lotharingien de Combinatoire, 76 (2019)
  41. (w. V. Féray) Shifted symmetric functions and multirectangular coordinates of Young diagrams, Journal of Algebra 483 (2017), 262–305
  42. Polynomials defined by tableaux and linear recurrences, Electronic Journal of Combinatorics 23, No.1 (2016)
  43. Gelfand–Tsetlin polytopes and the integer decomposition property, European Journal of Combinatorics, 54, (2016)
  44. A combinatorial proof the skew K-saturation theorem, Discrete Mathematics 338 No.1 (2015), 93–102
  45. (w. B. Shapiro) Around Multivariate Schmidt–Spitzer Theorem, Linear Algebra and its Applications 446 (2014), 356–368
  46. Stretched skew Schur polynomials are recurrent, Journal of Combinatorial Theory, Series A 122 (2014) 1–8.
  47. Schur polynomials, banded Toeplitz matrices and Widom’s formula, Electronic Journal of Combinatorics 19, No.4 (2012)
  48. (w. B. Shapiro) Discriminants, symmetrized graph monomials, and sums of squares, Experimental Mathematics 21 No. 4 (2012) 353–361
  49. On eigenvalues of the Schrödinger operator with an even complex-valued polynomial potential, Comput. Methods Funct. Theory 12 No.2 (2012) 465–481
  50. (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.

  • Joel Persson Generalisations of Interpretations of Fuss-Catalan numbers Bachelor thesis 2022, SU.

  • Ingrid Söderberg Matematiken i Mahjong Bachelor thesis 2023, SU.

  • Jack Zhan Polynomial recursions for counting big blocks in set partitions Bachelor thesis 2023, SU.

  • Ivo Flippa ur: flipgrannskap i dimermodellen Bachelor thesis 2023, SU.

  • Subash K C Eulerian numbers Bachelor thesis 2023, SU.

  • Maena Quemener International internship Stability of matching polynomials Spring 2023, SU.

  • Aliénor Edström Bourdeau P vs NP Bachelor thesis 2023, SU.

  • Emilija Milosevic Tornpolynom Bachelor thesis 2024, SU.

  • Alrik Sandberg \(P_3\)-hull numbers and infection times of unit interval graphs Bachelor thesis 2024, SU.

  • Patryk Gozdur Multi-avoidance of permutation patterns, Bachelor thesis 2024, SU.