## Seminars and Colloquium

## Conferences and Workshops

## Student News

Jongwon Lee won Simon Marais Mathematics Competition 2019 2019.12

Hyukpyo Hong Chosen for Global PhD Fellowship 2019 by the National Research Foundation of Korea 2019.10

Best TA Awards for Spring 2019 2019.06

Minyoo Kim Takes 2019 KSIAM Poster Award 2019.06

2019 Spring POW (Problem of the Week) Award Winners 2019.06

KAIST Students Receive Prizes from the 2018 Simon Marias Mathematics Competition 2018.12

Winners of the 2018 Fall Semester Problem of the Week Award 2018.12

Ji, Hong-Chang Receives POSCO Science Fellowship 2019 2018.12

Kijoung Jang Wins the College Students Mathematics Competition 2017 2017.12

Seokjoo Chae receives POSCO TJ Park Science Fellowship Award 2017 2017.10

## Bookmarks

## Bulletin Boards

고페이 수학강사 모십니다. | 08. 11 | |

중3 수학 과외 선생님 모십니다. | 04. 06 | |

여학생 과외 원합니다. | 03. 07 | |

고교2학년생입니다. 수학선생님 원해요 | 11. 11 | |

대학원 입시 설명회 자료 좀 올려주시겠어요? | 06. 22 | |

모듈 형식과 타원 방정식에 대해서 질문합니다 | 11. 13 | |

모듈 형식과 타원 방정식에 대해서 질문합니다 | 11. 13 |

## Alumni News

## Problem of the week

Let \(f = X^n + a_{n-1}X^{n-1} + \dots + a_0\in \mathbb{Z}[X]\) be a polynomial with integer coefficients, and let \(m\in \mathbb{Z}\).

Consider the sequence \[f_0,f_1,f_2,\dots \]

where \(f_0:=m\), and \(f_i:=f(f_{i-1})\) for all \(i\ge 1\).

Let \(S:=\{p\in \mathbb{P}: p \text{ divides } f_i \text{ for some } i\ge 0\}\) be the set of prime divisors of the sequence \(f_0,f_1,f_2,\dots\).

Assume that \(S\) is finite, but \(\{f_i\mid i\ge 0\}\) is infinite. Show that \(f=X^n\).