Matjaž Konvalinka
Department of Mathematics 2-342
Massachusetts Institute of Technology
Cambridge, MA 02139
Phone: (617) 253-7578
E-mail: konvalinka(at)math.mit.edu
I am a combinatorialist, and I have just received my Ph.D. in the Department of Mathematics at MIT. My advisor was Igor Pak.
In Summer 2008, I am:
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 a talk at .ps file .pdf file
(with Igor Pak) Geometry and complexity of O'Hara's algorithm, to appear in Adv. Appl. Math. 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 I gave 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, to appear in Ann. Comb. Download .ps file .pdf file
(with Igor Pak) Non-commutative extensions of the MacMahon Master Theorem, Adv. Math., Volume 216, Issue 1 (2007), 29-61. Download .ps file .pdf file
Divisibility of generalized Catalan numbers, J. Combinatorial Theory Ser. A., vol. 114 iss. 6 (2007), 1089-1100. Download .ps file .pdf file
Triangularizability of polynomially compact operators, Integr. equ. oper. theory, vol. 52, no. 2 (2005), 271-284 (based on my undergraduate thesis). Download .ps file .pdf file
Generalized Latin squares, Obz. mat. fiz., 2004, 51, no. 4, 104-112 (in Slovenian). Download .ps file .pdf file