323 citations
- Claremont Graduate UniversityUS16 papers
- Scripps CollegeUS10 papers
- Pomona CollegeUS9 papers
- Harvey Mudd CollegeUS7 papers
- Pitzer CollegeUS7 papers
- Georgia Institute of TechnologyUS4 papers
- Arizona State UniversityUS3 papers
- Jagiellonian UniversityPL3 papers
- Massachusetts Institute of TechnologyUS3 papers
- University of California, Los AngelesUS3 papers
- University of ConnecticutUS3 papers
- University of South FloridaUS3 papers
7 papers · 1 filter
Polynomial knot and link invariants from the virtual biquandle
Alissa S. Crans, Allison Henrich, Sam Nelson
The Alexander biquandle of a virtual knot or link is a module over a 2-variable Laurent polynomial ring which is an invariant of virtual knots and links. The elementary ideals of t…
Bounded domain problem for the modified Buckley-Leverett equation
Ying Wang, Chiu-Yen Kao
The focus of the present study is the modified Buckley-Leverett (MBL) equation describing two-phase flow in porous media. The MBL equation differs from the classical Buckley-Levere…
Birack shadow modules and their link invariants
Sam Nelson, Katie Pelland
We introduce an associative algebra Z[X,S] associated to a birack shadow and define enhancements of the birack counting invariant for classical knots and links via representations…
Twisted virtual biracks and their twisted virtual link invariants
Jessica Ceniceros, Sam Nelson
A virtual link can be understood as a link in a trivial I-bundle over an orientable compact surface with genus. A twisted virtual link is a link in a trivial I-bundle over a not-ne…
Birack modules and their link invariants
Regina Bauernschmidt, Sam Nelson
We extend the rack algebra Z[X] defined by Andruskiewitsch and Grana to the case of biracks, enabling a notion of birack modules. We use these birack modules to define an enhanceme…
Kei modules and unoriented link invariants
Mike Grier, Sam Nelson
We define invariants of unoriented knots and links by enhancing the integral kei counting invariant Phi_X^Z (K) for a finite kei X using representations of the kei algebra, Z_K[X],…