77 citations · 144 across the 21 of their papers we have counts for
23 papers
Exploiting Symmetry in the Power Flow Equations Using Monodromy
Julia Lindberg, Nigel Boston, Bernard C. Lesieutre
We propose solving the power flow equations using monodromy. We prove the variety under consideration decomposes into trivial and nontrivial subvarieties and that the nontrivial su…
The Distribution of the Number of Real Solutions to the Power Flow Equations
Julia Lindberg, Alisha Zachariah, Nigel Boston +1
In this paper we study the distributions of the number of real solutions to the power flow equations over varying electrical parameters. We introduce a new monodromy and parameter…
Heuristics for p-class towers of real quadratic fields
Nigel Boston, Michael R. Bush, Farshid Hajir
Let be an odd prime. For a number field , we let be the maximal unramified pro- extension of ; we call the group the -class to…
The -Class Tower of
Nigel Boston, Jiuya Wang
The seminal papers in the field of root-discriminant bounds are those of Odlyzko and Martinet. Both papers include the question of whether the field has…
Exploiting Algebraic Structure in Global Optimization and the Belgian Chocolate Problem
Zachary Charles, Nigel Boston
The Belgian chocolate problem involves maximizing a parameter δ over a non-convex region of polynomials. In this paper we detail a global optimization method for this problem that…
The Weight Distribution of Quasi-quadratic Residue Codes
Nigel Boston, Jing Hao
In this paper, we begin by reviewing some of the known properties of QQR codes and proved that acts on the extended QQR code when . Using this discov…