11 citations · 34 across the 24 of their papers we have counts for
4 papers · 1 filter
On the chromatic localization of the homotopy completion tower for -algebras
Crichton Ogle, Nikolas Schonsheck
The completion tower of a nonunital commutative ring is a classical construction in commutative algebra. In the setting of structured ring spectra as modeled by algebras over a spe…
On the domain of convergence of spherical harmonic expansions
O. Costin, R. D. Costin, C. Ogle +1
Spherical harmonic expansions (SHEs) play an important role in most of the physical sciences, especially in physical geodesy. Despite many decades of investigation, the large order…
Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere; the continuous case
C. Ogle, O. Costin, M. Bevis
For a singleton planet with gravitational potential , we show that for each there exists a planet with gravitational potential , with "$…
Invertibility in Category Representations
Sanjeevi Krishnan, Crichton Ogle
Inverse categories are categories in which every morphism x has a unique pseudo-inverse y in the sense that xyx=x and yxy=y. Persistence modules from topological data analysis and…