3 papers
math.HO2020
The fundamental theorem of finite fields: a proof from first principles
Anastasia Chavez, Christopher O'Neill
A mathematics student's first introduction to the fundamental theorem of finite fields (FTFF) often occurs in an advanced abstract algebra course and invokes the power of Galois th…
math.CO2020
The lattice of cycles of an undirected graph
Gennadiy Averkov, Anastasia Chavez, Jesus A. De Loera +1
We study bases of the lattice generated by the cycles of an undirected graph, defined as the integer linear combinations of the 0/1-incidence vectors of cycles. We prove structural…
math.CO2019
Quotients of uniform positroids
Carolina Benedetti, Anastasia Chavez, Daniel Tamayo
Flag matroids are a rich family of Coxeter matroids that can be characterized using pairs of matroids that form a quotient. We consider a class of matroids called positroids, intro…