output
20072025
most citedPaved with Good Intentions: Analysis of a Randomized Block Kaczmarz Method

323 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2017 · math.GTShow all

6 papers · 2 filters

math.GT2017

Biquasile Colorings of Oriented Surface-Links

Jieon Kim, Sam Nelson

We introduce colorings of oriented surface-links by biquasiles using marked graph diagrams. We use these colorings to define counting invariants and Boltzmann enhancements of the b…

math.GT2017

Trace Diagrams and Biquandle Brackets

Sam Nelson, Natsumi Oyamaguchi

We introduce a method of computing biquandle brackets of oriented knots and links using a type of decorated trivalent spatial graphs we call trace diagrams. We identify algebraic c…

math.GT2017

Virtual Links with Finite Medial Bikei

Julien Chien, Sam Nelson

We consider the question of which virtual knots have finite fundamental medial bikei. We describe and implement an algorithm for completing a presentation matrix of a medial bikei…

math.GT2017★ 2 cited

Boltzmann Enhancements of Biquasile Counting Invariants

WonHyuk Choi, Deanna Needell, Sam Nelson

In this paper, we build on the biquasiles and dual graph diagrams introduced in arXiv:1610.06969. We introduce \textit{biquasile Boltzmann weights} that enhance the previous knot c…

math.GT2017

Quasi-trivial Quandles and Biquandles, Cocycle Enhancements and Link-Homotopy of Pretzel links

Mohamed Elhamdadi, Minghui Liu, Sam Nelson

We investigate some algebraic structures called quasi-trivial quandles and we use them to study link-homotopy of pretzel links. Precisely, a necessary and sufficient condition for…

math.GT2017★ 5 cited

Biquandle Virtual Brackets

Sam Nelson, Kanako Oshiro, Ayaka Shimizu +1

We introduce an infinite family of quantum enhancements of the biquandle counting invariant we call biquandle virtual brackets. Defined in terms of skein invariants of biquandle co…