Matjaž Konvalinka
Department of Mathematics
University of
Ljubljana
Jadranska 21, Ljubljana, Slovenia
Office: 5.10
E-mail:
matjaz.konvalinka(at)fmf.uni-lj.si
I am an Assistant Professor at the Department of Mathematics at the University Ljubljana working in combinatorics. I received my Ph.D. at MIT. My advisor was Igor Pak.
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(with Aaron Lauve) Skew Pieri Rules for Hall-Littlewood Functions, extended abstract for the poster at FPSAC '12 in Nagoya, Japan. Download ps file pdf file
(with Igor Pak) Triangulations of Cayley and Tutte polytopes, extended abstract for the talk at FPSAC '12 in Nagoya, Japan. Download ps file pdf file
(with David Dolžan and Polona Oblak) Diameters of components of commuting graphs, preprint (2012). Download ps file pdf file
(with Igor Pak) Cayley compositions, partitions, polytopes, and geometric bijections, preprint (2012). Download ps file pdf file
Hyperplane arrangements, Obz. mat. fiz., Vol. 59 (3) (2012), 81-93 (in Slovenian). Download ps file pdf file
(with Aaron Lauve) Skew Pieri rules for Hall-Littlewood functions, to appear in J. Algebraic Combin. Download ps file pdf file
(with Igor Pak) Triangulations of Cayley and Tutte polytopes, to appear in Adv. Math. Download ps file pdf file
Skew quantum Murnaghan-Nakayama rule, extended abstract for the poster at FPSAC '11 in Reykjavik, Iceland. Download ps file pdf file
Skew quantum Murnaghan-Nakayama rule, J. Algebraic Combin., Vol. 35 (4) (2012), 519-545. Download ps file pdf file
(with Ionuţ Ciocan-Fontanine and Igor Pak) Weighted branching formulas for the hook lengths, extended abstract for the talk at FPSAC '10 in San Francisco, California, USA. Download ps file pdf file
The weighted hook-length formula III: Shifted tableaux, Electron. J. Combin., Vol. 18 (1) (2011), Article 101, 29pp (electronic). Download ps file pdf file
The weighted hook-length formula II: Complementary formulas, European J. Combin., Vol. 32 (4) (2011), 580-597, DOI:10.1016/j.ejc.2011.01.005. Download ps file pdf file
(with Ionuţ Ciocan-Fontanine and Igor Pak) The weighted hook length formula, J. Combin. Theory Ser. A, Vol. 118 (2011), 1703-1717, DOI:10.1016/j.jcta.2011.02.004. Download ps file pdf file
(with Ionuţ Ciocan-Fontanine and Igor Pak) Quantum cohomology of Hilb_n(C^2) and the weighted hook walk on Young diagram, J. Algebra, Vol. 349 (1) (2012), 268-283, DOI:10.1016/j.jalgebra.2011.10.011. Download ps file pdf file
(with Götz Pfeiffer and Claas Röver) A note on element centralizers in finite Coxeter groups, J. Group Theory, Vol. 14 (5) (2011), 727-745, DOI: 10.1515/JGT.2010.074. Download ps file pdf file
(with Igor Pak) Geometry and complexity of O'Hara's algorithm, extended abstract for the poster at FPSAC '09 in Hagenberg, Austria. Download ps file pdf file
(with Mark Skandera) Generating functions for Hecke algebra characters, Canad. J. Math., Vol. 63 (2) (2011), 413-435, DOI: 10.4153/CJM-2010-082-7. Download ps file pdf file
On quantum immanants and the cycle basis of the quantum permutation space, Ann. Comb., Vol. 16 (2) (2012), 289-304. Download ps file pdf file
Combinatorics of determinantal identities, my thesis. Download ps file pdf file
(with Mark Skandera) A quantization of a theorem of Goulden and Jackson, extended abstract for the talk at FPSAC '08 in Valparaíso, Chile. Download ps file pdf file
(with Igor Pak) Geometry and complexity of O'Hara's algorithm, Adv. in Appl. Math. 42 (2) (2009), 157-175. Download ps file pdf file
An inverse matrix formula in the right-quantum algebra, Electron. J. Combin., Vol. 15 (1) (2008), Article 23, 19pp (electronic). Download ps file pdf file Mathematica package genmacmahon.m
(with Igor Pak) Non-commutative extensions of classical determinantal identities, extended abstract for the talk at FPSAC '07 in Tianjin, China. Download ps file pdf file
Non-commutative Sylvester's determinantal identity, Electron. J. Combin., Vol. 14 (2007), Article 42, 29pp (electronic). Download ps file pdf file
On Goulden-Jackson's determinantal formula for the immanant, Ann. Comb., Vol. 13 (4) (2010), 511-518, DOI 10.1007/s00026-009-0033-x. Download ps file pdf file
(with Igor Pak) Non-commutative extensions of the MacMahon Master Theorem, Adv. Math., Vol. 216 (1) (2007), 29-61. Download ps file pdf file
Divisibility of generalized Catalan numbers, J. Combin. Theory Ser. A, Vol. 114 (6) (2007), 1089-1100. Download ps file pdf file
Triangularizability of polynomially compact operators, Integr. equ. oper. theory, Vol. 52 (2) (2005), 271-284 (based on my undergraduate thesis). Download ps file pdf file
Generalized Latin squares, Obz. mat. fiz., Vol. 51 (4) (2004), 104-112 (in Slovenian). Download ps file pdf file