Scientific Program

특별세션 (Special Sessions) 발표

Each session is composed of a series of talks on a specific topic in any area of the mathematical science. Special Session and Contributed Talk will be respectively timetabled in a concurrent time slot. Talks are invited in any area of the mathematical science, with acceptance at the discretion of the organizers. If your talk falls under the heading of one of the special sessions already listed, please contact one of the session organizers before submitting an abstract, as special sessions have limited time slots.

특별세션 (Special Sessions) 발표
Session Code분과명 Title/Topic주관교수 OrganizersSlot A
4/28(금)
09:00 - 10:30
Slot B
4/28(금)
10:50 - 12:20
Slot C
4/28(금)
13:30 - 15:00
Slot D
4/29(토)
09:00 - 10:30
SS-01

가환대수학과 관련 분야의 최신 성과
Recent Results on Commutative Algebra and Related Fields

이강용(충남대)
천상민(중앙대)
O O
One of the important research areas in Algebra, the ring theory, has been studied by two main areas: commutative rings and noncommutative rings. The ring theory has closed relationship with representation theory, homology, algebraic geometry, algebraic number theory, and is applied to cryptography or code theory.
SS-02

대수기하학의 동향
Trends in Agebraic Geometry

황동선(IBS-CCG) O O
Recent PhDs in algebraic geometry will present their work in this session. Topics include birational geometry, affine geometry, arithmetic dynamics, and combinatorial approaches to commutative algebra.
SS-03

대수적 정수론 및 관련 주제들
Algebraic Number Theory and Related Topics

김완수(카이스트) O O
The aim of this special session is to provide a showcase for recent results in and around algebraic number theory.
SS-04

해석적 정수론과 관련 주제들
Analytic Number Theory and Related Topics

황준호(서울대) O O
This special session focuses on various topics in analytic number theory and its applications. We will share recent results in several topics related to analytic number theory.
SS-05

다변수복소해석학과 관련된 연구
Several Complex Variables and Related Topics

박종도(경희대)
이강혁(경상국립대)
최영준(부산대)
O O

Many fundamental theorems of complex analysis are different between one and several variables (several complex variables).
The purpose of this session is to share recent researches on complex analysis in one and several variables.
We will discuss all topics of complex analysis including the space of analytic functions, Cauchy-Riemann equation, integral operators, integral kernels, geometry of domains and invariant metrics.

SS-06

비선형 동역학: 자연적/인공적 시스템의 수학적 모델
Nonlinear Dynamics: Mathematical Models in Natural and Man-made Systems

심우주(경북대)
강명주(고등과학원)
O O
Nonlinear PDEs have been extensively used to model many phenomena in engineering, biology, and physical systems. Therefore, several types of mathematical machines are needed to study these nonlinear differential equations: dynamical systems theory, variational methods, conservation laws, etc. In this special session, we discuss recent results on modeling, analysis, and numerical analysis of nonlinear PDEs in natural and artificial dynamical systems.
SS-07

조화해석학과 관련 주제들
Harmonic Analysis and Related Topics

고영우 (공주대) O

Harmonic analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer.
The subject of Harmonic analysis encompasses a vast spectrum of mathematics. In the sciences and engineering, the process of decomposing a function into oscillatory components is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis. In mathematics, the term Fourier analysis often refers to the study of both operations.

SS-08

타원형과 포물선형 편미분방정식과 응용
Elliptic and Parabolic PDE with Applications

박진해(충남대)
이영애(울산과학기술원)
O O O
In this section, we discuss the recent results for the existence, uniqueness, and qualitative properties of solutions to various elliptic and parabolic PDEs with applications.
SS-09

편미분방정식 및 적분방정식을 위한 해석적/수치적 방법론
Analytical and Numerical Methods for PDEs and Integral Equations 

유상현(고려대) O O
In this session, we discuss recent advances on analytical and numerical methods for PDEs and Integral equations, with focus on wave propagation in complex media, inverse problems and other problems in applied mathematics.
SS-10

편미분방정식의 정칙성 이론
Regularity Theory for Partial Differential Equations and Its Applications 

옥지훈(서강대)
이미경(부산대)
O O
This special session focuses on regularity theory for partial differential equations, in particular, elliptic and parabolic problems, and related topics.
SS-11

포물선 편미분 방정식의 최신 동향
Recent Developments in Parabolic Partial Differential Equations

배한택(울산과학기술원) O
The session will focus on recent developments in the mathematical theory of parabolic PDEs such as Navier-Stokes equations, viscous MHD, and viscous non-Newtonian equations. This section aims to gather researchers in this field to discuss the more recent advances in parabolic PDEs as well as some of the most significant applications.
SS-12

함수해석학과 양자현상의 수학적 이해
Functional Analysis and Mathematical Understanding of Quantum Phenomena

이훈희(서울대)
지운식(충북대)
O
The origin of functional analysis traces back to the mathematical framework of quantum theory. In this special session, we would like to highlight the heritage of functional analysis, focusing on how we can use various branches of functional analysis to explain quantum phenomena.
SS-13

행렬과 작용소 공간에서의 이론과 응용
Theory and Application on Spaces of Matrices and Operators

김세정(충북대)
김선광(충북대)
O O
In mathematics, function spaces have played a very important role. In particular, as other areas, such as quantum mechanics, have developed, matrices and operator spaces have become major research subjects. The aim of this special session is to gather researchers who are observing the main phenomena appearing in these spaces together, and to share and develop their research topics.
SS-14

재생핵 힐베르트 공간 상의 작용소론
Operator Theory on Reproducing Kernel Hilbert Spaces 

황인성(성균관대)
김인현(인천대)
O O

The session will be devoted, but not limited to the following topics:
- operator theory on reproducing kernel Hilbert spaces;
- general theory of reproducing kernel Hilbert spaces;
- spectral theory of individual linear operators;
- algebras of operators

SS-15

기하구조와 부분다양체
Geometric Structures and Submanifolds

조종택(전남대)
우창화(부경대)
O O
The topic of this special session includes complex structures, contact structures, Riemannian structures, foliated structures, CR-structures and their realizations in various fundamental submanifolds.
SS-16

기하학적 해석학
Geometric Analysis

최경수(고등과학원)
김승혁(한양대)
O O O
Geometric analysis is the study of differential geometry and differential topology, using differential equations and calculus of variations. This session will focus on recent developments in the analytical theory of geometry and topology, with emphasis on elliptic and parabolic equations.
SS-17

기하구조 및 표현공간
Geometric Structures and Representation Spaces

이계선(서울대) O O
The aim of this special session is to promote research interaction between mathematicians who are interested in geometric structures on manifolds and the space of representations.
SS-18

저차원 위상수학과 매듭이론
Low-Dimensional Topology and Knot Theory

박정환(카이스트) O O
The goal of this special session is to bringing together researchers interested in low-dimensional topology and knot theory.
SS-19

랜덤행렬이론과 관련 주제들
Random Matrix Theory and Related Topics

서성미(충남대) O O

Random matrix theory has been extensively studied in various fields of mathematics and physics, and has made remarkable advances.
In this special session, we will share recent results in several topics related to random matrix theory.

SS-20

과학계산과 기계학습
Scientific Computing and Machine Learning

홍영준(성균관대)
고승찬(인하대)
O O
This special session will explore the intersection of scientific computing and machine learning, two fields that are increasingly intertwined in modern scientific research. The seminar will cover topics such as numerical methods for PDEs, machine learning, and mathematical modeling. Emphasis will be placed on practical applications of these techniques to scientific problems, including those in mathematics, physics, biology, and engineering. The goal of the special session is to provide participants with a solid foundation in both scientific computing and machine learning, as well as an understanding of how they can be used in combination to address complex research questions.
SS-21

생화학 시스템 모델링을 위한 데이터 과학
Data Science for Modeling Biochemical Systems

김진수(포항공대)
김재경(카이스트)

O O
Biochemical systems are orchestrated with multiple components of intracellular and intercellular interactions. In this vein, mathematical models specialized for only a single key feature of the system would have limitations for studying the dynamical behavior of biochemical systems. Constructing models incorporating multiple characteristic, however, are challenging due to high complexity of the systems. Recently, methodologies in data science have been developed to attack this challenge. In this session, we discuss data science approaches for fully modeling complex biochemical systems. These are based on not only machine leaning methods but also theories in statistics, random matrices, stochastic processes, and differential equations.
SS-22

응용대수 및 최적화 이론
Applied Algebra and Optimization

권순학(성균관대) O O
The various fields of applied algebra are related to optimization theory, and in recent years they have been used in various applications such as big data, information theory, and the theory of computation. In addition, industrial mathematics, which has recently been in the limelight, is organically connected with the above mentioned research fields of mathematics, and it has also been originated from joint efforts to find solutions to many industrial problems. This special session is organized for a meeting place to explore the recent development in the fields of applied algebra, optimization theory and the theory of data analysis.
SS-23

극단 조합론: 방법 및 응용
Extremal Combinatorics: Methods and Applications

Nika Salia
(IBS-ECOPRO)
O O O O
Methods and applications session at the Korean mathematical society conference is a unique opportunity for researchers, students, and enthusiasts to come together and explore the exciting field of extremal combinatorics. The session is designed to promote diversity and inclusivity, with invited speakers ranging from established scholars to emerging talent from across the country. The primary goal is to foster a more connected Korean Extremal math community, providing a platform for all participants to share their insights and ideas. The session's theme is Extremal combinatorics, with a broad interpretation that encompasses both pure and applied combinatorics. Whether you're interested in the beauty of extreme properties, such as speed, color, temperature, or altitude, or you're looking to explore cutting-edge applications of this fascinating field, this session is the perfect opportunity to learn and connect with fellow enthusiasts.
SS-24

대칭 다항식과 관련된 조합론
Combinatorics of Symmetric Functions 

류미수(충북대) O O
We consider combinatorial aspects and combinatorial properties that various symmetric functions have.