The research group focuses on the interface of mathematics and theoretical physics, emphasizing mathematical structures in Quantum Field Theory and String Theory. It pioneers the application of machine learning tools to study physical phenomena and mathematical structures within these theories. The group also addresses applied industrial problems, utilizing geometry, topology, and machine learning for optimization and automation solutions. The principal investigator is an Associate Professor in the Department of Mathematical Sciences and affiliated with the Department of Physics at the Ulsan National Institute of Science and Technology (UNIST) in Ulsan, South Korea.

본 연구 그룹은 양자장론 및 끈 이론에서 발생하는 수학적 구조에 중점을 두고, 수학과 이론 물리학의 접점에서 연구를 진행한다. 양자장론 및 끈 이론의 물리적 현상과 수학적 구조 연구에 머신러닝 도구 도입을 개척하였으며, 산업 현장의 응용 문제 해결을 위해 기하학, 위상수학 및 머신러닝 개념을 활용하여 최적화 및 자동화 솔루션을 연구한다. 연구 책임자는 울산과학기술원(UNIST) 수리과학과 부교수이며, UNIST 물리학과에도 소속되어 있다.

Quiver-Invariant Dualities between Brane Tilings

Relevant Deformations, Brane Brick Models and Triality

Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons

Row and column detection complexities of character tables

Futaki Invariants and Reflexive Polygons

Birational Transformations on Dimer Integrable Systems

Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond
Toric Fano 3-folds

Generative AI for Brane Configurations and Coamoeba

Machine learning optimal ordering in global routing problems in semiconductors

Combinatorial and Algebraic Mutations of Toric Fano 3-folds and Mass Deformations of 2d (0,2) Quiver Gauge Theories

Hilbert Series of Bipartite Field Theories

Machine Learning BPS Spectra and the Gap Conjecture

The Origin of Calabi-Yau Crystals in BPS States Counting

Machine Learning Regularization for the Minimum Volume Formula of Toric Calabi-Yau 3-folds

Unsupervised Machine Learning Techniques for Exploring Tropical Coamoeba, Brane Tilings and Seiberg Duality

Mass Deformations of Brane Brick Models

On the Master Space of Brane Brick Models

Twin Theories, Polytope Mutations and Quivers for GTPs

Brane Brick Models for the Sasaki-Einstein 7-Manifolds Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2)

Fano 3-Folds, Reflexive Polytopes and Brane Brick Models

Topology for Substrate Routing in Semiconductor Package Design

"Lagrangian Disks" in M-Theory

Supersymmetric Gauged Matrix Models from Dimensionsional Reduction on a Sphere

Calabi-Yau Volumes and Reflexive Polytopes

Machine Learning of Calabi-Yau Volumes

Elliptic Genera of 2d (0,2) Gauge Theories from Brane Brick Models

Quadrality for Supersymmetric Matrix Models

Orbifold Reduction and 2d (0,2) Gauge Theories

Brane Brick Models
in the Mirror

Brane Brick Models and 2d (0,2) Triality

Consistency and Derangements in Brane Tilings

Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers

2d (0,2) Quiver Gauge Theories and D-branes

Hilbert Series for Theories with Aharony Duals

Mass-deformed Brane Tilings

Hilbert Series and Moduli Spaces of k U(N) Vortices

Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n

Double Handled Brane Tilings

New Directions in Bipartite Field Theories

Brane Tilings and Specular Duality

Supersymmetric Gauge Theories on the Five-Sphere

Brane Tilings and Reflexive Polygons

Statistical topology of radial networks: a case study of tree leaves

Calabi-Yau Orbifolds and Torus Coverings

An Introduction to Counting Orbifolds

Symmetries of Abelian Orbifolds

Counting Orbifolds

Method of Circular Frame Generation for Path Routing in Multilayer Structure, and Computing Device

다층 구조 내 경로 라우팅을 위한 원형 프레임 생성 방법 및 컴퓨팅 장치

Method of Circular Frame Generation for Path Routing in Multilayer Structure and Computing Device

Method and apparatus for path routing

Supersymmetric gauge theories on the five-sphere

Machine learning of Calabi-Yau volumes

Brane tilings and reflexive polygons

2d (0, 2) quiver gauge theories and D-branes

Brane brick models in the mirror

Brane brick models and 2 d (0 , 2) triality

Counting orbifolds

Brane tilings and specular duality

Hilbert series for moduli spaces of instantons on ℂ2/ℤ n

Calabi–Yau volumes and reflexive polytopes

Elliptic genera of 2d (0, 2) gauge theories from brane brick models

Quadrality for supersymmetric matrix models

New directions in bipartite field theories

Orbifold reduction and 2d (0, 2) gauge theories

Symmetries of Abelian orbifolds

Mass-deformed brane tilings

Hilbert series for theories with Aharony duals

Double handled brane tilings

Sebastian Franco

Sangmin Lee

Dongwook Ghim

Sanjaye Ramgoolam

Seiji Terashima

Daniel Krefl

Vishnu Jejjala

Yang-Hui He 何楊輝 何杨辉

Noppadol Mekareeya

Massimo Bianchi

James Sparks

Cyril Closset

Pascal Getreuer

Alessandro Pini

Rak-Kyeong Seong

Theoretical Physics Group, Blackett Laboratory

Department of Applied Mathematics and Theoretical Physics

Associate Professor

Rak-Kyeong Seong Research Group

교수님 소개

성락경

연구실 소개

연구실 키워드

알럼나이가 간 회사

연구실 지원 방법

대우 조건

연도별 논문 인용수

저널 & 학회 논문 출판 수

연구실 논문 목록

Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons

Row and column detection complexities of character tables

Futaki Invariants and Reflexive Polygons

연구실 보유 특허

대학별 입시끈

우리 연구실 모집

교수님 소개

성락경

연구실 키워드

알럼나이가 간 회사

연구실 지원 방법

대우 조건

연도별 논문 인용수

저널 & 학회 논문 출판 수

연구실 논문 목록

Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons

Row and column detection complexities of character tables

Futaki Invariants and Reflexive Polygons

연구실 보유 특허

최근 3년간 연구실적 높은 연구실

대학별 입시끈

우리 연구실 모집