3 citations · 5 across the 5 of their papers we have counts for
7 papers
Modular versus Hierarchical: A Structural Signature of Topic Popularity in Mathematical Research
Brian Hepler
Mathematical researchers, especially those in early-career positions, face critical decisions about topic specialization with limited information about the collaborative environmen…
Moderate Growth and Rapid Decay Nearby Cycles via Enhanced Ind-Sheaves
Brian Hepler, Andreas Hohl
For any holomorphic function on a complex manifold , we define and study moderate growth and rapid decay objects associated to an enhanced ind-sheaf on…
The Weight Filtration on the Constant Sheaf on a Parameterized Space
Brian Hepler
On an -dimensional locally reduced complex analytic space on which the shifted constant sheaf $\Q_X^\bullet[n]$ is perverse, it is well-known that, locally, $\Q_X^\bullet[n]…
Rational Homology Manifolds and Hypersurface Normalizations
Brian Hepler
We prove a criterion for determining whether the normalization of a complex analytic space on which the constant sheaf is perverse is a rational homology manifold, using a perverse…
Deformation Formulas for Parameterized Hypersurfaces
Brian Hepler
We investigate one-parameter deformations of functions on affine space which define parameterizable hypersurfaces. With the assumption of isolated polar activity at the origin, we…
Perverse Results on Milnor Fibers inside Parameterized Hypersurfaces
Brian Hepler, David B. Massey
We discuss some results on parameterized hypersurfaces which follow quickly from results in the category of perverse sheaves
Some Special Cases of Bobadilla's Conjecture
Brian Hepler, David B. Massey
We prove two special cases of a conjecture of J. Fernández de Bobadilla for hypersurfaces with -dimensional critical loci. We do this via a new numerical invariant for such hype…