@article{sazdanovic_scofield_2018, title={Patterns in Khovanov link and chromatic graph homology}, volume={27}, ISSN={["1793-6527"]}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-85044463913&partnerID=MN8TOARS}, DOI={10.1142/s0218216518400072}, abstractNote={Khovanov homology of a link and chromatic graph homology are known to be isomorphic in a range of homological gradings that depend on the girth of a graph. We discuss patterns shared by these two homology theories. In particular, we improve the bounds for the homological span of chromatic homology by Helme–Guizon, Przytycki and Rong. An explicit formula for the rank of the third chromatic homology group on the main diagonal is given and used to compute the corresponding Khovanov homology group and the fourth coefficient of the Jones polynomial for links with certain diagrams.}, number={3}, journal={JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS}, publisher={World Scientific Pub Co Pte Lt}, author={Sazdanovic, Radmila and Scofield, Daniel}, year={2018}, month={Mar} }
@article{brown_hasmani_hiltner_kraft_scofield_wash_2015, title={CLASSIFYING EXTENSIONS OF THE FIELD OF FORMAL LAURENT SERIES OVER F-p}, volume={45}, ISSN={["1945-3795"]}, DOI={10.1216/rmj-2015-45-1-115}, abstractNote={In previous works, Jones and Roberts and Pauli and Roblot have studied finite extensions of the p-adic numbers Qp.This paper focuses on results for local fields of characteristic p.In particular, we are able to produce analogous results to Jones and Roberts in the case that the characteristic does not divide the degree of the field extension.Also, in this case, following from the work of Pauli and Roblot, we prove that the defining polynomials of these extensions can be written in a simple form amenable to computation.Finally, if p is the degree of the extension, we show there are infinitely many extensions of this degree and thus these cannot be classified in the same manner.}, number={1}, journal={ROCKY MOUNTAIN JOURNAL OF MATHEMATICS}, author={Brown, Jim and Hasmani, Alfeen and Hiltner, Lindsey and Kraft, Angela and Scofield, Daniel and Wash, Kirsti}, year={2015}, pages={115–130} }