8 citations · 13 across the 7 of their papers we have counts for
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math.NT2021★ 1 cited
Improved computation of fundamental domains for arithmetic Fuchsian groups
James Rickards
A practical algorithm to compute the fundamental domain of an arithmetic Fuchsian group was given by Voight, and implemented in Magma. It was later expanded by Page to the case of…
math.NT2021★ 1 cited
Hecke operators acting on optimal embeddings in indefinite quaternion algebras
James Rickards
We explore a natural action of Hecke operators acting on formal sums of optimal embeddings of real quadratic orders into Eichler orders. By associating an optimal embedding to its…
math.NT2021★ 3 cited
Counting intersection numbers of closed geodesics on Shimura curves
James Rickards
Let correspond to the group of units of norm in an Eichler order of an indefinite quaternion algebra over . Close…