KAIST 수리과학과

학과 세미나 및 콜로퀴엄

6/12(금) 11:00 기도형 (UC Berkeley)
확률 * 통계

What functions does XGBoost learn?

6/18(목) 16:00 윤호 (EPFL)
확률 * 통계

Optimal Transport for Degenerate Gaussian Measures

6/18(목) 17:00 Almond Stoecker (EPFL)
확률 * 통계

Functional Principal Component Analysis via Empirical Risk Minimization

편미분방정식 통합연구실 세미나

6/15(월) 15:00 성기훈 (EPFL)
편미분방정식

Central limit theorems for multi-vortex Gibbs measures

6/15(월) 16:00 이진엽 (경희대학교)
편미분방정식

The semiclassical limit of the 2D Dirac–Hartree equation with periodic potentials

IBS-KAIST 세미나

6/19(금) 16:30 Stefan Weltge (Technical University of Munich)
이산수학

The relaxation complexity of the standard simplex is logarithmic

7/10(금) 16:30 Ting-Wei Chao (MIT)
이산수학

The Oddtown Problem Modulo a Composite Number

역문제 기초연구실 세미나

6/12(금) 10:00 최재웅 (성균관대학교 통계학과)
Inverse Problems

Neural Optimal Transport for Inverse Problems: From Image Inverse Problems to Hilbert-Space Operator Learning

학생 뉴스

김범호, 최석현 학생 4단계 BK21사업 참여대학원생 해외방문수기 공모전 장려상 선정 2025.09

이본우 학생, KAIST Q-Day 특별포상 수상 2024.12

한종인ㆍ이본우ㆍ송윤민 학생, 2024년 KAIST 대학원생 우수논문상 수상 2024.12

북마크

Research Highlights

박철우, Kernel Methods for Radial Transformed Compositional Data with Many Zeros

박진형, A Castelnuovo-Mumford regularity bound for threefolds with rational singularities

김완수, G-isoshtukas over function fields

임미경, Inverse Problem for a Planar Conductivity Inclusion

	수리과학과 2027학년도 봄학기 수리과학과 대학원 입학설명회 개최(6.19(금), 오후 2시)	06. 05
	[모집] 2026 International Summer School for Advanced Undergraduate Students 참가 모집 (~6/10(수))	05. 29
	Mathematics × AI: Challenges and Opportunities 학술대회 개최(6/29 ~ 7/3)	05. 29

	2026 Young Generation Forum 한민족청년과학도포럼 안내	06. 04
	[Hanwha Finance] 2026 Hanwha Finance Career Session 참석자 모집(~6/12 15:00)	06. 04

동문 뉴스

오성진 동문 (학사 2006학번), 2026년 삼성호암상 과학상 물리·수학부문 수상 2026.04

석상익 동문 (학사 2007학번), 세종대학교 경영학부 교수 부임 2026.03

배한울 동문 (학사 2007학번), 전남대학교 수학교육과 교수 부임 2026.03

하진철 동문 (학사 2015학번), 숭실대학교 AI소프트웨어학부 교수 임용 2026.03

A knot is a simple closed curve in three-dimensional space. A diagram of a knot is a projection of the knot to the plane together with over/under information at each crossing. A crossing change is the operation of switching one crossing from over to under or from under to over.

Find up to three examples of sequences of knot diagrams that begin with a diagram of the trefoil knot and end with a diagram of the figure-eight knot, where each step is obtained from the previous diagram by a crossing change.

The obvious chains trefoil → unknot → figure-eight and trefoil → trefoil # figure-eight → figure-eight are not allowed.

(3 points will be given for three correct examples, 2 points for two correct examples, and 1 point for one correct example.)