KAIST Math Graduate Student Seminar (KMGS)

The 24th KMGS will be held on September 21st, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Uihyeon Jeong from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

Slot (AM 11:50~PM 12:30)
[Speaker] 정의현 (Uihyeon Jeong) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 권순식 교수님 (Soonsik Kwon)
[Title] Quantized slow blow up dynamics for the energy-critical co-rotational wave maps problem
[Discipline] Analysis
[Abstract]
In this talk, we consider the blow-up dynamics of co-rotational solutions for energy-critical wave maps with the 2-sphere target.  We briefly introduce the (2+1)-dimensional wave maps problem and its co-rotational symmetry, which reduces the full wave map to the (1+1)-dimensional semilinear wave equation. Under such symmetry, we see that this problem has a unique explicit stationary solution, so-called “harmonic map”. Then we point out some of the works of analyzing the long-term dynamics of the flow near the harmonic map.  Among them, we focus on the smooth blow-up result that corresponds to the stable regime. In particular, the case where the homotopy index is one has a distinctive nature from the other cases, which allows us to exhibit the smooth blow-up with the quantized blow-up rates corresponding to the excited regime.
[Language] Korean

The 23rd KMGS will be held on September 7th, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Juneyoung Seo from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

Slot (AM 11:50~PM 12:30)
[Speaker] 서준영 (Juneyoung Seo) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 변재형 교수님 (Jaeyoung Byeon)
[Title] Calculus of Variations in Materials Sciences
[Discipline] Analysis
[Abstract]
This talk aims to explore the application of calculus of variations in materials sciences. We will discuss the physics behind solid-solid phase transitions and elastic energy. Then the Allen-Cahn model in studying interfaces and their energy will be introduced. Finally, we will examine the Ohta-Kawasaki model and its role in understanding self-assembly in block copolymers. Recent research advancements in the Ohta-Kawasaki problem will also be presented.
[Language] Korean but English if it is requested

We are informing you of the schedule of the KAIST Math Graduate student Seminar(KMGS) 2023 Fall. We look forward to your attention and participation!

In this seminar, 6 talks will be held on Thursday from 11:50 to 12:40 in Room 1501 on the first floor of the Natural Science Building(E6-1).

Lunch will be provided after each talk.
Please apply through the QR code on the poster.

The 22nd KMGS will be held on June 20th, Tuesday, at Natural Science Building (E6-1) Room 1501.
We invite speakers  Hyukpyo Hong (홍혁표) from the Dept. of Mathematical Sciences, KAIST, and   Dae Wook Kim (김대욱) from Dept. of Mathematics, University of Michigan, Ann Arbor. The abstract of the talk is as follows.

Slot (PM 2:00~PM 3:00)
[Speaker] Hyukpyo Hong (홍혁표) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Jae Kyoung Kim (김재경 교수님),
 Dae Wook Kim (김대욱) from Dept. of Mathematics, University of Michigan, Ann Arbor  
[Title] 해외 수학과 포닥 지원 및 생활 후기 / Experiences of applying for and living as a postdoc.  
[Discipline] General Topic  
[Abstract] 한국의 수학과 박사과정 학생이 해외로 포닥을 지원하는 방법, 그리고 2년간의 포닥 생활 후기에 대해 발표합니다. 포닥 지원 시기와 절차는 어떤지, 포닥 지원을 위한 CV, 추천서, research statement, teaching statement 등을 어떻게 준비하는 지 설명드립니다.해외 정착, 기존 연구 마무리 및 포닥으로서의 새로운 연구 시작 방법에 대해 설명드립니다. 이 발표는 University of Wisconsin, Madison의 Van Vleck assistant professor 오퍼를 받은 홍혁표 학생과 University of Michigan, Ann Arbor에서 2년간 James Van Loo assistant professor로 근무한 김대욱 박사가 진행합니다. 
We will present on how a doctoral student in the field of mathematics in Korea can apply for a postdoctoral position abroad and share the experience of living as a postdoc for two years. We will explain the timing and procedures for applying for a postdoc position, as well as how to prepare a CV, recommendation letters, research statement, teaching statement, and other documents required for the application. Also, we will provide information on how to settle down in a foreign country, wrap up existing research, and start new research as a postdoc. This presentation will be conducted by Hyukpyo Hong, a student who recently received an offer for the Van Vleck Assistant Professor position at the University of Wisconsin, Madison, and Dr. Dae Wook Kim, who worked as a James Van Loo Assistant Professor at the University of Michigan, Ann Arbor for two years.
[Language] Korean

The 21st KMGS will be held on June 1st, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Hansol Kim from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

Slot (AM 11:50~PM 12:30)
[Speaker] 김한솔 (Hansol Kim)  from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 임보해 교수님 (Bo-Hae Im)
[Title] Problems on Torsion Subgroups of Elliptic Curves over Number Fields 
[Discipline] Number Theory
[Abstract]
We introduce elliptic curves, their Mordell-Weil group structure, and isogenies over number fields. At the last of the talk, some results on the torsion subgroups of Mordell-Weil groups of elliptic curves defined over a number field will be given.The results are joint works with my advisor Bo-Hae Im.
[Language] Korean 

The 20th KMGS will be held on May 18th, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Jungho Ahn from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

Slot (AM 11:50~PM 12:30)
[Speaker] 안정호 (Jungho Ahn) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 엄상일 교수님(Sang-il Oum)
[Title] Introduction to Kernelization
[Discipline] Graph Theory, Complexity Theory
[Abstract]
We introduce concepts of parameterized complexity, especially, kernelization. Kernelization is a polynomial-time preprocessing algorithm that converts a given instance for a problem to a smaller instance while keeping the answer to the problem. Delicate kernelization mostly boosts the speed of solving the problem. We explain standard techniques in kernelizations, for instance, the sunflower lemma. Most optimization problems can be reformulated in the Hitting Set problem format, and the sunflower lemma gives us a simple yet beautiful kernelization for the problem. We further introduce our recent work about the Hitting Set problem on sparse graph classes.
[Language] Korean but English if it is requested.