Fakultäten der RUB » Fakultät für Mathematik » Lehrstühle » Algebraische Kombinatorik

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  1. Bruhat intervals, subword complexes and brick polyhedra for finite Coxeter groups.
    Joint work with D. Jahn.
    Preprint; 26 pages, 2021 [arXiv].
  2. Standard complexes of matroids and lattice paths.
    Joint work with A. Engström and R. Sanyal.
    Preprint; 16 pages, 2019 [arXiv].
  3. A Hodge filtration of logarithmic vector fields for complex reflection groups.
    Joint work with T. Abe, G. Röhrle and M. Yoshinaga.
    Preprint; 19 pages, 2018. [arXiv]


  4. Minkowski decompositions for generalized associahedra of acyclic type.
    Joint work with D. Jahn and R. Löwe.
    To appear in Alg. Comb.; Preprint; 17 pages, 2020 [arXiv].
  5. A face iterator for polyhedra and more general finite locally branched lattices.
    Joint work with J. Kliem.
    To appear in Discrete Comput. Geom.; Preprint; 17 pages, 2020 [arXiv].
  6. Cataland: Why the Fuß?.
    Joint work with H. Thomas and N. Williams.
    To appear in Mem. AMS; Preprint; 132 pages, 2020 [journal, arXiv].


  7. A combinatorial classification of 2-regular simple modules for Nakayama algebras.
    Joint work with R. Marczinzik and M. Rubey.
    J. Pure Appl. Algebra 225(3), 2021, 34p [journal, arXiv].
  8. Pure flag simplicial complexes and the Erdős-Ko-Rado-property.
    Joint work with J. Olarte, F. Santos and J. Spreer.
    J. Combin. Theory Ser. A 172, 2020, 29p [journal, arXiv].
  9. Counting inversions and descents of random elements in finite Coxeter groups.
    Joint work with T. Kahle.
    Math. Comp. 89, 437-464, 2020 [journal, arXiv].
  10. FindStat - a database and search engine for combinatorial statistics and maps.
    Joint work with M. Rubey.
    Séminaire Lotharingien de Combinatoire, 82B.103, 8 pp., 2019 [journal].
  11. Freeness of multi-reflection arrangements via primitive vector fields.
    Joint work with T. Hoge, T. Mano and G. Röhrle.
    Adv. Math. 350, 63-96, 2019 [journal, arXiv].
  12. Towards a uniform subword complex description of finite type cluster algebras.
    Joint work with S. Brodsky.
    Alg. Combin. 1(4), 545-572, 2018 [journal, arXiv].
  13. Lipschitz polytopes of posets and permutation statistics.
    Joint work with R. Sanyal.
    J. Combin. Theory Ser. A 158, 605-620, 2018 [journal, arXiv].
  14. Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection.
    Joint work with M. Rubey.
    J. Integer Seq. 20(9), 9 pages, 2017 [journal, arXiv].
  15. Noncrossing sets and a Graßmann associahedron.
    Joint work with F. Santos and V. Welker.
    Forum Math. Sigma 5, e5, 49 pages, 2017 [journal, arXiv].
    Extended abstract in Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2014 [journal].
  16. On non-conjugate Coxeter elements in well-generated reflection groups.
    Joint work with V. Reiner and V. Ripoll.
    Math. Z. 285(3), 2017, 1041-1062 [journal, arXiv].
    Extended abstract in Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2015 [journal, slides].
  17. On root posets for noncrystallographic root systems.
    Joint work with M. Cuntz.
    Math. Comp. 84, 485-503, 2015 [journal, arXiv].
  18. Brick polytopes of spherical subword complexes and generalized associahedra.
    Joint work with V. Pilaud.
    Adv. Math. 276, 1-61, 2015 [journal, arXiv].
    Extended abstract in Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2012 [journal].
  19. Vertex barycenter of generalized associahedra.
    Joint work with V. Pilaud.
    Proc. Amer. Math. Soc. 143, 2623-2636. 2015 [journal, arXiv].
  20. On a new collection of words in the Catalan family.
    J. Integer Seq. 17(7), 8 pages, 2014 [journal, arXiv].
  21. Note on the transitive Hurwitz action on decompositions of Coxeter elements.
    Joint work with B. Baumeister, M. Dyer, and P. Wegener.
    Proc. Amer. Math. Soc. Ser. B 1, 149-154, 2014 [journal, arXiv].
  22. Counting factorizations of Coxeter elements into products of reflections.
    Joint work with G. Chapuy.
    J. Lond. Math. Soc. 90(2), 919-939, 2014 [journal, arXiv].
  23. Subword complexes, cluster complexes, and generalized multi-associahedra.
    Joint work with C. Ceballos and J.-P. Labbé.
    J. Algebraic Combin. 39(1), 17-51, 2014. [journal, arXiv]
    Extended abstract in Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2012 [journal].
  24. FindStat - the combinatorial statistics database.
    Joint work with C. Berg.
    DMV Computeralgebra-Rundbrief 53, 2013.
    Updated version with C. Berg, V. Pons, T. Scrimshaw, and J. Striker, 2014 [arXiv].
  25. More bijective Catalan combinatorics on permutations and signed permutations.
    J. Comb. 4(4), 419-447, 2013 [journal, arXiv].
  26. EL-labelings and canonical spanning trees for subword complexes.
    Joint work with V. Pilaud.
    Fields Inst. Commun. Ser. Dis. Geom. Optim. 69, 213-248, 2013. [journal, arXiv]
    Extended abstract in Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2013 [journal].
  27. A uniform bijection between nonnesting and noncrossing partitions.
    Joint work with D. Armstrong and H. Thomas.
    Trans. Amer. Math. Soc. 365(8), 4121-4151, 2013 [journal, arXiv].
  28. Fillings of moon polyominoes, simplicial complexes, and Schubert polynomials.
    Joint work with L. Serrano.
    Electron. J. Combin. 19, 18 pages, 2012. [journal, arXiv]
    Extended abstract in Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2011 [journal].
  29. A compendium on the cluster algebra and quiver package in Sage.
    Joint work with G. Musiker.
    Sém. Lothar. Combin. 67, 67 pages, 2011 [journal, arXiv].
  30. A new perspective on k-triangulations.
    J. Combin. Theory Ser. A 118(6), 4121-4151, 2011 [journal, arXiv].
  31. Counting the number of elements in the mutation classes of quivers of type Ã.
    Joint work with J. Bastian, T. Prellberg, and M. Rubey.
    Electron. J. Combin. 18(1), 23 pages, 2011 [journal, arXiv].
  32. Crossings and nestings in set partitions of classical types.
    Joint work with M. Rubey.
    Electron. J. Combin. 17, 19 pages, 2010 [journal, arXiv].
    Extended abstract in Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2010 [journal].
  33. q,t-Fuß-Catalan numbers for finite reflection groups.
    J. Algebraic Combin. 32(1), 67-97, 2010 [journal, arXiv].
    Extended abstract in Discrete Math. Theor. Comput. Sci. Proc. FPSAC 2008 [journal].
  34. On bijections between 231-avoiding permutations and Dyck paths.
    Sém. Lothar. Combin. 60, 13 pages, 2009 [journal, arXiv].