Sangjib Kim

Abstract Little is known about the principles of surface structure design for orthopedic and dental implants. To find topographical groove patterns that could enhance osteoblast differentiation according to cell type, groove patterns are fabricated with ridges (0.35−7 µm) and grooves (0.65−6 µm) of various widths and explored their mechanisms in improving osteoblast differentiation. This study finds that a groove pattern enhancing osteoblast differentiation is associated with the ability of the

Abstract Although tumor genomic profiling has identified small subsets of gastric cancer (GC) patients with clinical benefit from anti-PD-1 treatment, not all responses can be explained by tumor sequencing alone. We investigate epigenetic elements responsible for the differential response to anti-PD-1 therapy by quantitatively assessing the genome-wide chromatin accessibility of circulating CD8 + T cells in patients’ peripheral blood. Using an assay for transposase-accessible chromatin using seq

We study iterated Pieri rules for representations of classical groups. That is, we consider tensor products of a general representation with multiple factors of representations corresponding to one-rowed Young diagrams (or in the case of the general linear group, also the duals of these). We define {\it iterated Pieri algebras}, whose structure encodes the irreducible decompositions of such tensor products. We show that there is a single family of algebras, which we call {\it double Pieri algebr

We study Bott-Samelson varieties for the group GLn(C), their toric degenerations and standard monomial type bases for their homogeneous coordinate rings. A 3-dimensional example is described in detail.

We study the structure of a family of algebras which encodes a generalization of the Pieri Rule for the complex orthogonal group. In particular, we show that each of these algebras has a standard monomial basis and has a flat deformation to a Hibi algebra. There is also a parallel theory for the complex symplectic group.

Let V be an irreducible polynomial representation of the general linear group GLn=GLn(C) and let α1, …, αq be nonnegative integers less than or equal to n. We call a description of the irreducible decomposition of the tensor product V⊗Λα1(Cn)⊗⋯⊗Λαq(Cn) an iterated skew Pieri rule for GLn. In this paper, we define a family of complex algebras whose structure encodes an iterated skew Pieri rule for GLn, and we call these algebras iterated skew Pieri algebras. Our main goal is to construct a basis

This paper gives a survey on the relation between Hibi algebras and representation theory. The notion of Hodge algebras or algebras with straightening laws has been proved to be very useful to describe the structure of many important algebras in classical invariant theory and representation theory. In particular, a special type of such algebras introduced by Hibi provides a nice bridge between combinatorics and representation theory of classical groups. We will examine certain poset structures o