50 citations · 86 across the 25 of their papers we have counts for
27 papers
Ternary Perfect Forms Over Imaginary Quadratic Field
Zachary Parker, Dan Yasaki
In this work, we enumerate the ternary perfect forms over all imaginary quadratic fields of absolute discriminant up to and study the number and combinatorial types of their a…
Bianchi Modular Forms over Imaginary Quadratic Fields with arbitrary class group
John Cremona, Kalani Thalagoda, Dan Yasaki
Let be an imaginary quadratic field and let be its ring of integers. For an integral ideal of , let be the c…
On the cohomology of GL_2 and SL_2 over imaginary quadratic fields
Herbert Gangl, Paul E. Gunnells, Jonathan Hanke +1
We report on computations of the cohomology of GL_2(O_D) and SL_2(O_D), where D<0 is a fundamental discriminant. These computations go well beyond earlier results of Vogtmann and S…
Cohomology of congruence subgroups of SL_3(Z), Steinberg modules, and real quadratic fields
Avner Ash, Dan Yasaki
We investigate the homology of a congruence subgroup Gamma of SL_3(Z) with coefficients in the Steinberg modules St(Q^3) and St(E^3), where E is a real quadratic field and the coef…
Perfect Forms over Imaginary Quadratic Fields
Kristen Scheckelhoff, Kalani Thalagoda, Dan Yasaki
In this work, we compute the perfect forms for all imaginary quadratic fields of absolute discriminant up to and study the number and types of the polytopes that arise. We p…
Steinberg homology, modular forms, and real quadratic fields
Avner Ash, Dan Yasaki
We compare the homology of a congruence subgroup Gamma of GL_2(Z) with coefficients in the Steinberg modules over Q and over E, where E is a real quadratic field. If R is any commu…