5 citations · 7 across the 13 of their papers we have counts for
7 papers · 1 filter
Matroidal Cayley-Bacharach and independence/dependence of geometric properties of matroids
Soohyun Park
We consider the relationship between a matroidal analogue of the degree Cayley-Bacharach property (finite sets of points failing to impose independent conditions on degree …
Carleson embedding theorem for an exponential Bergman space on the unit ball
Hong Rae Cho, Han-Wool Lee, Soohyun Park
We characterize the Carleson measures for an exponential Bergman space on the unit ball of in terms of the ball induced by the complex Hessian of the logarithm of the…
Anti-Ramsey theory problems, lattice point counts on polytopes, and Hodge structures on the cohomology of toric varieties
Soohyun Park
We find families of graphs and subgraphs of such that the number of edge colorings of avoiding a monochromatic coloring of is determined by lattice point counts…
Graph coloring-related properties of (generating functions of) Hodge-Deligne polynomials
Soohyun Park
Motivated by a connection between the topology of (generalized) configuration spaces and chromatic polynomials, we show that generating functions of Hodge-Deligne polynomials of qu…
Matroids satisfying the matroidal Cayley--Bacharach property and ranks of covering flats
Soohyun Park
Let be a matroid satisfying a matroidal analogue of the Cayley-Bacharach condition. Given a number , we show that there is no nontrivial bound on ranks of a -tuple…
Simplicial chromatic polynomials as Hilbert series of Stanley--Reisner rings
Soohyun Park
We find families of simplicial complexes where the simplicial chromatic polynomials defined by Cooper--de Silva--Sazdanovic \cite{CdSS} are Hilbert series of Stanley--Reisner rings…
Characterizing cubic hypersurfaces via projective geometry
Soohyun Park
We use the cut and paste relation in of Galkin--Shinder for cubic hypersurfaces arising from projective ge…