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math.NT2024
Raney Transducers and the Lowest Point of the -Lagrange spectrum
Brandon Dong, Soren Dupont, Evan M. O'Dorney +1
It is well known that the golden ratio is the ''most irrational'' number in the sense that its best rational approximations have error and this co…
math.NT2024
Galois groups of reciprocal polynomials and the van der Waerden-Bhargava theorem
Theresa C. Anderson, Adam Bertelli, Evan M. O'Dorney
We study the Galois groups of degree reciprocal (a.k.a. palindromic) polynomials of height at most , finding that falls short of the maximal possible group…
math.AG2024
Even-carry polynomials and cohomology of line bundles on the incidence correspondence in positive characteristic
Evan M. O'Dorney
We consider the cohomology groups of line bundles on the \emph{incidence correspondence}, that is, a general hypersurface $X \subset \mathbb{P}^{n-1} \times \mathbb{P…