11 citations · 49 across the 27 of their papers we have counts for
30 papers
Distribution of the number of zeros of polynomials over a finite field
Ritik Jain, Han-Bom Moon, Peter Wu
We study the probability distribution of the number of zeros of multivariable polynomials with bounded degree over a finite field. We find the probability generating function for e…
Computation of GIT quotients of semisimple groups
Patricio Gallardo, Jesus Martinez-Garcia, Han-Bom Moon +1
We describe three algorithms to determine the stable, semistable, and torus-polystable loci of the GIT quotient of a projective variety by a reductive group. The algorithms are eff…
Determinantal varieties from point configurations on hypersurfaces
Alessio Caminata, Han-Bom Moon, Luca Schaffler
We consider the scheme parametrizing ordered points in projective space that lie on a common hypersurface of degree . We show that this scheme has…
Derived category and ACM bundles of moduli space of vector bundles on a curve
Kyoung-Seog Lee, Han-Bom Moon
We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree. We also generalize…
Consequences of the compatibility of skein algebra and cluster algebra on surfaces
Han-Bom Moon, Helen Wong
We investigate two algebra of curves on a topological surface with punctures - the cluster algebra of surfaces defined by Fomin, Shapiro, and Thurston, and the generalized skein al…
Positivity of the Poincaré bundle on the moduli space of vector bundles and its applications
Kyoung-Seog Lee, Han-Bom Moon
We prove that the normalized Poincaré bundle on the moduli space of stable rank vector bundles with a fixed determinant on a smooth projective curve induces a family of nef…