Soohyun Park

activity

20132022

most citedArithmetic properties of generalized Fibonacci sequences

5 citations · 7 across the 13 of their papers we have counts for

collaborators

13 papers

math.CO2022

Matroidal Cayley-Bacharach and independence/dependence of geometric properties of matroids

Soohyun Park

We consider the relationship between a matroidal analogue of the degree $a$ Cayley-Bacharach property (finite sets of points failing to impose independent conditions on degree $a$ …

math.CV2022

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 $C^{n}$ in terms of the ball induced by the complex Hessian of the logarithm of the…

math.CO2022

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 $G$ and subgraphs $H$ of $G$ such that the number of edge colorings of $G$ avoiding a monochromatic coloring of $H$ is determined by lattice point counts…

math.CO2022

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…

math.CO2022

Matroids satisfying the matroidal Cayley--Bacharach property and ranks of covering flats

Soohyun Park

Let $M$ be a matroid satisfying a matroidal analogue of the Cayley-Bacharach condition. Given a number $k \geq 2$ , we show that there is no nontrivial bound on ranks of a $k$ -tuple…

math.CO2022

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…

math.AG2022

Characterizing cubic hypersurfaces via projective geometry

Soohyun Park

We use the cut and paste relation $[Y^{[2]}] = [Y] [P^{m}] + L^{2} [F (Y)]$ in $K_{0} (Var_{k})$ of Galkin--Shinder for cubic hypersurfaces arising from projective ge…

math.AG2021

Motivic limits for Fano varieties of $k$ -planes

Soohyun Park

We study the probability that an $(n - m)$ -dimensional linear subspace in $P^{n}$ or a collection of points spanning such a linear subspace is contained in an $m$ -dimensiona…

math.AG2018

Decomposability and Mordell-Weil ranks of Jacobians using Picard numbers

Soohyun Park

We use methods for computing Picard numbers of reductions of K3 surfaces in order to study the decomposability of Jacobians over number fields and the variance of Mordell-Weil rank…

math.NT2014★ 2 cited

Proof of a conjecture of Guy on class numbers

Lynn Chua, Benjamin Gunby, Soohyun Park +1

It is well known that for any prime $p \equiv 3$ (mod $4$ ), the class numbers of the quadratic fields $Q (p)$ and $Q (- p)$ , $h (p)$ and $h (- p)$ respecti…

math.NT2014★ 5 cited

Arithmetic properties of generalized Fibonacci sequences

Soohyun Park

The generalized Fibonacci sequences are sequences ${f_{n}}$ which satisfy the recurrence $f_{n} (s, t) = s f_{n - 1} (s, t) + t f_{n - 2} (s, t)$ ( $s, t \in Z$ ) with initial cond…

math.NT2014

Bounded gaps between primes in special sequences

Lynn Chua, Soohyun Park, Geoffrey D. Smith

We use Maynard's methods to show that there are bounded gaps between primes in the sequence ${⌊ n α ⌋}$ , where $α$ is an irrational number of finite type. In addition,…

math.NT2013

Discriminators of quadratic polynomials

Soohyun Park

Given $f \in Z [x]$ and $n \in Z^{+}$ , the $discriminator$ $D_{f} (n)$ is the smallest positive integer $m$ such that $f (1), \dots, f (n)$ are distinct mod $m$ …

Matroidal Cayley-Bacharach and independence/dependence of geometric properties of matroids

Carleson embedding theorem for an exponential Bergman space on the unit ball

Anti-Ramsey theory problems, lattice point counts on polytopes, and Hodge structures on the cohomology of toric varieties

Graph coloring-related properties of (generating functions of) Hodge-Deligne polynomials

Matroids satisfying the matroidal Cayley--Bacharach property and ranks of covering flats

Simplicial chromatic polynomials as Hilbert series of Stanley--Reisner rings

Characterizing cubic hypersurfaces via projective geometry

Motivic limits for Fano varieties of k-planes

Decomposability and Mordell-Weil ranks of Jacobians using Picard numbers

Proof of a conjecture of Guy on class numbers

Arithmetic properties of generalized Fibonacci sequences

Bounded gaps between primes in special sequences

Discriminators of quadratic polynomials

Motivic limits for Fano varieties of $k$ -planes