C. Ingalls

activity

20042026

most citedNoncrossing partitions and representations of quivers

132 citations · 204 across the 31 of their papers we have counts for

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4 papers · 1 filter

math.NT2022

Definite orthogonal modular forms: Computations, Excursions and Discoveries

Eran Assaf, Dan Fretwell, Colin Ingalls +3

We consider spaces of modular forms attached to definite orthogonal groups of low even rank and nontrivial level, equipped with Hecke operators defined by Kneser neighbours. After…

math.NT2020

Quotient graphs and amalgam presentations for unitary groups over cyclotomic rings

Colin Ingalls, Bruce W. Jordan, Allan Keeton +2

Suppose $4∣ n$ , $n \geq 8$ , $F = F_{n} = Q (ζ_{n} + ζ ˉ_{n})$ , and there is one prime $p = p_{n}$ above $2$ in $F_{n}$ . We study amalgam presentations for $\operatornam…

math.NT2019

Sarnak's conjecture in quantum computing, cyclotomic unitary group coranks, and Shimura curves

Colin Ingalls, Bruce W. Jordan, Allan Keeton +2

Sarnak's conjecture in quantum computing concerns when the groups $PU_{2}$ and $PSU_{2}$ over cyclotomic rings $Z [ζ_{n}, 1/2]$ with $ζ_{n} = e^{2 π i / n}$ …

math.NT2019

The Clifford-cyclotomic group and Euler-Poincaré characteristics

Colin J. Ingalls, Bruce W. Jordan, Allan Keeton +2

For an integer $n \geq 8$ divisible by $4$ , let $R_{n} = Z [ζ_{n}, 1/2]$ and let $U_{2} (R_{n})$ be the group of $2 \times 2$ unitary matrices with entries in $R_{n}$ . Set $…