김명호

• Representation theory of quantum groups and related topics

김세구

• Low dimensional topology

김승일

• Numerical method for partial differential equations

• High-order absorbing boundary conditions for time-harmonic wave propagation problems

• Domain decomposition method

박종도

• Complex analysis in one or several variables

송경우

• Nonlinear partial differential equations arising from mixed type Maxwell-Chern-Simons equations in Gauge Theories

• Nonlinear hyperbolic conservation laws

• Nonlinear variational wave equations

양효선

• Data approximation theory and scientific computation

• Computational fluid dynamics

• Algorithms for image processing

이상준

• Extremal combinatorics: combinatorial number theory, extreme set theory, graph theory

• Probabilistic combinatorics: random graphs, random integers

이수준

• Quantum information theory

• Quantum communication theory

• Quantum algorithms

이호

• Partial differential equations arising from the kinetic theory and the classical/quantum field theory

• Existence of solutions, asymptotic behaviours, stability estimates

• Various cosmological models coupled with kinetic equations

한종민

• Nonlinear partial differential equations arsing from the Ginzburg-Landau Equations and the Chern-Simons Gauge Theories

• Bifurcation and stability theory for phase transition equations

김경수

• Mathematical modeling and numerical analysis

• Data analysis and machine learning

• Biomechanical and biomedical engineering

김병학

• Differential geometry

• Global analysis on manifolds

김정산

• Quantum computation

• Quantum information theory

김혜현

• Numerical Analysis

• Domain decomposition method

박준표

• Evolutionary dynamics

• Evolutionary game theory

• Nonlinear dynamics and chaos

이선미

• Numerical methods for ODEs and PDEs

• Mathematical modeling in biology and epidemiology

• Optimal control theory to epidemiological models

전준기

• Financial mathematics

• Computational finance

• Acturial mathematics

• Mathematical economics

최선호

• Kinetic theory

• Biomathematics

• Optimal control theory

한창용

• Computer aided geometric design

• Geometric algorithms and scientific computing