2026년 상반기 [63]호

수리과학부 뉴스레터

Mathematics Newsletter

2026년 상반기 [63]호

학부소식

강연영상

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Contextual Bandits and Reinforcement Learning with Function Approximation

In this talk, we discuss contextual bandits and reinforcement learning problems based on function approximation frameworks.

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Mathematical theory of neural network and its application to scientific machine learning

In recent years, modern machine learning techniques using deep neural networks have achieved tremendous success in various fields.

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No anomalous dissipation in two dimensional fluids

In this talk, we will discuss Leray-Hopf solutions to the incompressible Navier-Stokes equations with vanishing viscosity.

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Moduli space of vector bundles on curves

The moduli spaces of vector bundles on curves lie at the crossroads of geometry, topology, and representation theory.

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Bochner-Riesz means and spectral projection for Hermite expansions

Hermite functions play an important role in many areas, including quantum mechanics, partial differential equations, and probability theory.

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Various function filed extensioins over a finite field

An algebraic function field is an algebraic extension of finite degree over the rational function field.

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Khintchine’s theorem on Diophantine approximation

Diophantine approximation is the study of approximating real numbers by rational numbers.

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Hamiltonian Dynamics and Three-body Problem

Hamiltonian dynamics, originated in classical mechanics, lies at the root of symplectic geometry and provides a wealth of examples.

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Finding Spacecraft Orbits around Moons and Planets

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Analytic subalgebras of Beurling-Fourier algebras and complexification of Lie groups

In this talk, we focus on how we can interpret the actions of the elements in the Gelfand spectrum of a Beurling-Fourier algebra on connected Lie groups.

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A brief introduction of noncommutative harmonic analysis

Noncommutative harmonic analysis has been developing rapidly in recent years and has attracted considerable attention.

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Regularity theory of very weak solutions

A very weak solution refers to a solution of a partial differential equation that has the lowest regularity and is defined in terms of distribution.

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Real spectra of large asymmetric Gaussian random matrices

Gaussian random matrices play a central role in random matrix theory, serving as canonical models whose spectral properties often persist across much broader classes of ensembles.

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Dirichlet problem and regular boundary points for elliptic equations in non-divergence and double divergence form

In the theory of elliptic partial differential equations, the Dirichlet problem has long been a central topic.

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Strichartz estimates for the Schrödinger equation on the two-dimensional torus

The study of estimating the size of a solution to a linear dispersive partial differential equation, called the Strichartz estimate, has been of interest in both partial differential equations and harmonic analysis.

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Ancient solutions to the Yamabe flow

The Yamabe flow is a geometric evolution equation whose goal is to improve the geometry of a manifold by deforming its metric toward one with constant scalar curvature.

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학부생을 위한 ɛ 강연: A Zoo of Noncompact Surfaces

학부 위상수학의 한 목표는 콤팩트한 곡면은 “구멍의 개수”로 완전히 분류됨을 소개하는 것입니다.

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Total domatic number of cubic graphs

The theory of dominating sets in graph theory has attracted considerable attention from numerous researchers, and various related notions and variations have been introduced.

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Formalizing mathematics: why it matters now

Formalizing mathematics involves translating mathematical statements from natural language into a precise formal language that computers can interpret.

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학부생을 위한 ɛ 강연: Optimality of Gerver's Sofa

We resolve the moving sofa problem, by showing that Gerver's construction with 18 curve sections attains the maximum area of 2.

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Efficient and accurate structure preserving schemes for complex nonlinear systems

Many complex nonlinear systems have intrinsic structures such as energy dissipation or conservation, and/or positivity/maximum principle preserving.

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Introduction to Symmetric Function Theory

Algebraic combinatorics studies the connections between combinatorics and algebraic structures.

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Representation theory of 0-Hecke algebras and quasisymmetric functions

The representation theory of the symmetric group plays a central role in mathematics, particularly in combinatorics through its connection with symmetric functions.

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Seeing Quadratic Lattices Through Their Substructures

Representations by quadratic forms have long been studied through the geometric language of quadratic lattices.

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Coherent Lagrangian classes

Moduli problems often manifest a remarkable symmetry now known as a shifted symplectic/Lagrangian structure.

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수상소식

인물탐방(인터뷰)

동문소식

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