4 citations · 4 across the 2 of their papers we have counts for
4 papers
Classification of super-modular categories
Paul Bruillard, Julia Yael Plavnik, Eric C. Rowell +1
We develop categorical and number theoretical tools for the classification of super-modular categories. We apply these tools to obtain a partial classification of super-modular cat…
Ramanujan Graphs and the Spectral Gap of Supercomputing Topologies
Sinan G. Aksoy, Paul Bruillard, Stephen J. Young +1
Graph eigenvalues play a fundamental role in controlling structural properties, such as bisection bandwidth, diameter, and fault tolerance, which are critical considerations in the…
Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2
Paul Bruillard, César Galindo, Seung-Moon Hong +5
We classify integral modular categories of dimension pq^4 and p^2q^2 where p and q are distinct primes. We show that such categories are always group-theoretical except for categor…
Modular categories, integrality and Egyptian fractions
Paul Bruillard, Eric C. Rowell
It is a well-known result of Etingof, Nikshych and Ostrik that there are finitely many inequivalent integral modular categories of any fixed rank . This follows from a double-ex…