Toby Saunders-A'Court

collaborators

3 papers

math.CO2026

New Records for the Hadamard Maximal Determinant Problem in Dimensions $51$ , $107$ , $111$ , $115$ , and $119$

Giorgi Butbaia, Pragatheeswaran Vipulanandan, Justin Tan +6

We compute new lower bounds for determinants of ${\pm 1}$ -matrices of orders $n = 51$ , $n = 107$ , $n = 111$ , $n = 115$ , and $n = 119$ , improving previous recorded bounds by $3.1%$ , $0.44\…

math.GT2026

fkcompute: an efficient $F_{K}$ invariant calculator

Paul Orland, Davide Passaro, Lara San Martín Suárez +2

We introduce fkcompute, an open-source package for computing the Gukov--Manolescu invariant of links from a braid presentation. fkcompute implements Park's inverted state sum throu…

math.GT2025

Quantum Invariants and Fiberedness

Paul Orland, Lara San Martín Suárez, Toby Saunders-A'Court +1

We explore the topological significance of the Gukov-Manolescu knot series $F_{K}$ . We show that the leading coefficient of $F_{K}$ is a monomial and express its exponent in terms of t…

New Records for the Hadamard Maximal Determinant Problem in Dimensions 51, 107, 111, 115, and 119

fkcompute: an efficient FK​ invariant calculator

Quantum Invariants and Fiberedness

New Records for the Hadamard Maximal Determinant Problem in Dimensions $51$ , $107$ , $111$ , $115$ , and $119$

fkcompute: an efficient $F_{K}$ invariant calculator