Maciej Niebrzydowski
Assistant Professor

Contact:
Office: 436 Maxim Doucet
Phone: 337-482-1225
E-mail: mxn5095@louisiana.edu
Home page: not available

Degrees:
Ph.D. 2007 The George Washington University
Magister 2003 University of Gdańsk

Statement:
My current research interests are Classical and Virtual Knot Theory and related algebraic structures (e.g. quandles, biquandles, racks, biracks, switches), 3-manifold invariants, invariants of knotted surfaces, and homology theory.

Selected research publications:

• Homology operations on homology of quandles (with Jozef H. Przytycki), submitted.
• The fundamental quandle of the trefoil knot as the Dehn quandle of the torus (with Józef H. Przytycki), Osaka Journal of Mathematics, 46 (2009), 645-659.
• Three geometric applications of quandle homology, Topology and its Applications, 156 (2009), 1729-1738.
• Homology of dihedral quandles (with Józef H. Przytycki), Journal of Pure and Applied Algebra, 213 (2009), 742-755.
• Biquandle longitude invariant of long virtual knots, Journal of Knot Theory and Its Ramifications, 16 (2007), 1393-1402.
• On colored quandle longitudes and its applications to tangle embeddings and virtual knots, Journal of Knot Theory and Its Ramifications, 15 (2006), 1049-1059.
• Burnside kei (with Józef H. Przytycki), Fundamenta Mathematicae, 190 (2006), 211-229.