6 citations · 38 across the 44 of their papers we have counts for
14 papers · 1 filter
Monte Carlo methods on a fixed volume system of Silicon-Germanium atoms
Mee Seong Im
Since the electrons of a silicon-germanium system are bounded, external quantum effects are negligible. In this manuscript, we hold the volume constant while varying all other para…
Suggestions to study affine and GIT quotients of the extended Grothendieck--Springer resolution
Mee Seong Im
We define filtered ADHM data and connect a notion of filtered quiver representations to Grothendieck--Springer resolutions. We also provide current developments and give a list of…
Examples relating to Green's conjecture in low characteristics and genera
Topik Teguh Estu, Mee Seong Im, Benjamin Manning +4
We exhibit approximately fifty Betti diagrams of free resolutions of rings of smooth, connected canonical curves of genera - in prime characteristics between and . G…
A short proof on the transition matrix from the Specht basis to the Kazhdan-Lusztig basis
Mee Seong Im
We provide a short proof on the change-of-basis coefficients from the Specht basis to the Kazhdan-Lusztig basis, using Kazhdan-Lusztig theory for parabolic Hecke algebra.
Nonstandard approach to Hausdorff outer measure
Mee Seong Im
We use nonstandard techniques, in the sense of Abraham Robinson, to give the exact Hausdorff outer measure.
The Grothendieck ring of the periplectic Lie supergroup and supersymmetric functions
Mee Seong Im, Shifra Reif, Vera Serganova
We show that the Grothendieck ring of finite-dimensional representations of the periplectic Lie supergroup is isomorphic to the ring of symmetric polynomials in $x_1^{\pm 1}…
Solving machine learning optimization problems using quantum computers
Venkat R. Dasari, Mee Seong Im, Lubjana Beshaj
Classical optimization algorithms in machine learning often take a long time to compute when applied to a multi-dimensional problem and require a huge amount of CPU and GPU resourc…
Transitioning between tableaux and spider bases for Specht modules
Mee Seong Im, Jieru Zhu
Regarding the Specht modules associated to the two-row partition , we provide a combinatorial path model to study the transitioning matrix from the tableau basis to the $A_1…
Irreducible components of two-row Springer fibers and Nakajima quiver varieties
Mee Seong Im, Chun-Ju Lai, Arik Wilbert
We give an explicit description of the irreducible components of two-row Springer fibers in type A as closed subvarieties in certain Nakajima quiver varieties in terms of quiver re…
Denominator identities for the periplectic Lie superalgebra
Crystal Hoyt, Mee Seong Im, Shifra Reif
We prove denominator identities for the periplectic Lie superalgebra , thereby completing the problem of finding denominator identities for all simple classical fi…
Irreducible calibrated representations of periplectic Brauer algebras and hook representations of the symmetric group
Mee Seong Im, Emily Norton
We construct an infinite tower of irreducible calibrated representations of periplectic Brauer algebras on which the cup-cap generators act by nonzero matrices. As representations…
Grothendieck rings of periplectic Lie superalgebras
Mee Seong Im, Shifra Reif, Vera Serganova
We describe explicitly the Grothendieck rings of finite-dimensional representations of the periplectic Lie superalgebras. In particular, the Grothendieck ring of the Lie supergroup…
On calibrated representations of the degenerate affine periplectic Brauer algebra
Zajj Daugherty, Iva Halacheva, Mee Seong Im +1
We initiate the representation theory of the degenerate affine periplectic Brauer algebra on strands by constructing its finite-dimensional calibrated representations when $n=2…
Optimization problems with low SWaP tactical Computing
Mee Seong Im, Venkat R. Dasari, Lubjana Beshaj +1
In a resource-constrained, contested environment, computing resources need to be aware of possible size, weight, and power (SWaP) restrictions. SWaP-aware computational efficiency…