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- Projects / (unpublished) articles
Khovanov homology and cobordisms (2013) - Currently a work in progress.An isomorphism between the Hopf algebras of Jacobi diagrams in knot invariant theory (2012) - Equally a term paper and a revision of an unpublished book's chapter. The isomorphism is between two Hopf algebras A and B is described through their diagrammatic construction.Abstract tensor systems and diagrammatic representations (2012) - Another term paper and revision of a different chapter of the above mentioned book, here about the foundation of the algebras A and B used above.The logarithmic spiral and recurrence relations (2011) - Pretty pictures by formalizing doodles.
Latvian-English / English-Latvian mathematical dictionary A feeble attempt to translate specific mathematical terms. This idea arose out of my own experience and confusion in trying to bring mathematical statements over the language barrier.
- Mathematical fonts Simple fonts, made for use in LaTeX to ease the use of non-standard symbols.
Knotagrams - Different intersections used in describing the Conway-Alexander, Kauffman, and Jones polynomials, Reidemeister moves, and Gauss linking number, with slight variations.- An
overview of all the symbols included and their corresponding Latin characters Chordagrams - This font has (basis) elements of the vector space of Gauss (chord) diagrams, as well as the terms of the 4-term relation.- An
overview of all the symbols included and their corresponding Latin characters Symmetrizers - A graphical representation of all permutations of 2-, 3-, and 4-element sets.- An
overview of all the symbols included and their corresponding Latin characters
I typeset with XeLaTeX when using foreign fonts, as its notation is nearly identical to LaTeX.