56 citations · 88 across the 8 of their papers we have counts for
9 papers
Computing Theta Functions with Julia
Daniele Agostini, Lynn Chua
We present a new package Theta.jl for computing with the Riemann theta function. It is implemented in Julia and offers accurate numerical evaluation of theta functions with charact…
On the Schottky problem for genus five Jacobians with a vanishing theta null
Daniele Agostini, Lynn Chua
We give a solution to the weak Schottky problem for genus five Jacobians with a vanishing theta null, answering a question of Grushevsky and Salvati Manni. More precisely, we show…
On cycles of pairing-friendly elliptic curves
Alessandro Chiesa, Lynn Chua, Matthew Weidner
A cycle of elliptic curves is a list of elliptic curves over finite fields such that the number of points on one curve is equal to the size of the field of definition of the next,…
Schottky Algorithms: Classical meets Tropical
Lynn Chua, Mario Kummer, Bernd Sturmfels
We present a new perspective on the Schottky problem that links numerical computing with tropical geometry. The task is to decide whether a symmetric matrix defines a Jacobian, and…
From Curves to Tropical Jacobians and Back
Barbara Bolognese, Madeline Brandt, Lynn Chua
Given a curve defined over an algebraically closed field which is complete with respect to a nontrivial valuation, we study its tropical Jacobian. This is done by first tropicalizi…
Gram Spectrahedra
Lynn Chua, Daniel Plaumann, Rainer Sinn +1
Representations of nonnegative polynomials as sums of squares are central to real algebraic geometry and the subject of active research. The sum-of-squares representations of a giv…
Proof of a conjecture of Guy on class numbers
Lynn Chua, Benjamin Gunby, Soohyun Park +1
It is well known that for any prime (mod ), the class numbers of the quadratic fields and , and respecti…
Bounded gaps between primes in special sequences
Lynn Chua, Soohyun Park, Geoffrey D. Smith
We use Maynard's methods to show that there are bounded gaps between primes in the sequence , where is an irrational number of finite type. In addition,…
Psi-Epistemic Theories: The Role of Symmetry
Scott Aaronson, Adam Bouland, Lynn Chua +1
Formalizing an old desire of Einstein, "psi-epistemic theories" try to reproduce the predictions of quantum mechanics, while viewing quantum states as ordinary probability distribu…