## SUNG RAK CHOI

Associate professor in the Mathematics Department, Yonsei university, Seoul, Korea.

Research interest : birational algebraic geometry.

Email : sungrakc(at)yonsei.ac.kr

### CV

### RESEARCH INTEREST

Algebraic Geometry : Birational Geometry, variations of Minimal Model Program, Positivity of divisors, Okounkov bodies, etc.

### EMPLOYMENT

2019 Mar- : Associate Professor,

2022, Sep- : adjunct professor (겸임교수) at POSTECH, graduate school of AI

2016 Mar-2019 Feb: Assistant Professor (주임교수 2017 Mar-2019 Feb),

Department of Mathematics, Yonsei University, Seoul, Republic of Korea

2015 May - 2016 Feb : IBS Fellow (tenure-track),

Institute for Basic Science, Center for Geometry and Physics, Pohang, Republic of Korea

2013 Jul - 2015 Apr: Research Fellow,

Institute for Basic Science, Center for Geometry and Physics, Pohang, Republic of Korea

2011 Jul - 2013 Jun: Collegiate assistant professor,

POSTECH, Pohang, Republic of Korea

2008 Jul - 2011 Jun: Visiting Assistant Professor,

University of California at Riverside, USA

### EDUCATION

2003 - 2008: Ph.D. Mathematics (advisor: Vyachelav V. Shokurov),

Johns Hopkins University, USA1996 - 2003: B.S., Magna Cum Laude, Mathematics,

Yonsei University, Seoul, Republic of Korea

(Jul 20, 1998 - Sep 19, 2000: mandatory military service)

### STUDENTS (as of Aug 2024)

Donghyeon "Nari" Kim (Ph.D, 2025 Aug expected)

Minsok Seo (Ph.D)

Ei Thu Thu Kyaw (Ph.D)

Juan Kim (MS, 2025 Feb expected)

Youngwoo Kim (MS)

### Former students:

### (Ph.D)

Sungwook Jang (Feb 2024, Yonsei Univ→IBS CCG)

Dae-Won Lee (Feb 2023, Ewha Womans univ)

(MS)

조일형(2023년2월, 박사수료) , 양희준(2021년8월,석사), 이흥섭(2018년8월,석사), 강동호(2017년8월, 석사)

See CV for more information, which is almost never up to date.

### PUBLICATION

### RESEARCH PAPERS

Okounkov bodies associated to abundant divisors and Iitaka fibrations (with J. Park and J. Won), accepted in Documenta Mathematica

ACC of plc thresholds (with S. Jang), Manuscripta Mathematica, Volume 174, pages 491–503, (2024)

On Subadditivity of Okounkov bodies for algebraic fiber spaces (with J. Park), Int Math Res Notices. Volume 2023, Issue 24, 2023, Pages 21781–21802

On a generalized Batyrev's cone conjecture (with Y. Gongyo), Math.Z. 300, 1319–1334 (2022)

A product formula for volumes of divisors via Okounkov bodies (with SJ. Jung, J. Park and J.Won), Int Math Res Notices. 2019 no. 22, 7118-7137 .

Okounkov bodies associated to pseudoeffective divisors (with Y. Hyun, J. Park and J. Won), J. London Math. Soc. (2) 98 (2018), 170-195.

Asymptotic base loci via Okounkov bodies (with Y. Hyun, J. Park, and J. Won), Adv. Math. 323 (2018), 784-810.

Okounkov bodies associated to pseudoeffective divisors II (with J. Park and J. Won), Taiwanese J. Math. 21 (2017), 602-620.

Okounkov bodies and Zariski decompositions on surfaces (with J. Park and J. Won), Bull. Korean. Math. Soc. 54 (2017), 1677-1697.

Potentially non-klt locus and its applications (with J. Park), Math. Ann. (2016) 366: 141-166 (See also arXiv for updates.)

Factorization of anticanonical maps of Fano type varieties (with D. Hwang, J. Park), Int Math Res Notices. (2015) 2015 (20): 10118-10142.

Geography of log models via asymptotic base loci, Int. J. Math, 25, 1450089 (2014)

On partially ample adjoint divisors, J. Pure Appl. Algebra 218 (2014), no. 7, 1171-1178.

On partially ample divisors, Math. Nachr, 287, No. 14-15, 1632-1641 (2014)

Duality of the cones of divisors and curves, Math. Res. Lett. vol 19 (2012), no 2, 403-416

On the dual of the mobile cone, Math. Z. Volume 272, Issue 1 (2012), 87-100

Geography of log models : theory and applications (with V.V Shokurov), Cent. Eur. J. Math. 9 (2011), no. 3, 489-534

Geography of log models and applications, Thesis, Johns Hopkins University, 2008

### PREPRINTS

Comparing numerical dimensions again (with J. Park), arXiv, submitted

Adjoint asymptotic multiplier ideal sheaves (with S. Jang and D. Kim), arXiv, submitted

Plc pairs with good asymptotic base loci (with S.Jang, D.Lee), submitted

BOOK/TRANSLATION

플립러닝을 위한 대수학 - 환, 체 그리고 갈루아 이론편, 원준영 , 박유진 , 박진형 , 송은정 , 정기룡 , 최성락 , 홍규식 지음 (경문사)

ISBN: 9791160734690대수곡선론-오기소 케이지 지음, 최성락 옮김, (경문사) ISBN: 9791160734812, 연세대학교 선정 2021년도 우수저역서 (독후감, 후기, 코멘트 환영합니다.)

代数曲線論（小木曽啓示）の 韓国語版

### OTHER WRITINGS

필즈메달 수상자, 코처 비르카 소개 in Horizon (webzine published by KIAS)

### CONFERENCES & SEMINARS

This is the list of conferences/workshop that I may attend or have attended.

(*=speaker, #=organizer)

2025

2024

Beijing University, December *

Conference on Recent Progress in Algebraic Geometry (aka YNL60), Nov 4-8, 2024 #

SWAG15, Sogang Universitry, Jul 12 #

AG seminar, IBS-CCG, May 23 *

IBS-CGP, AG Seminar, April 23 *

SWAG14, Jan 29, Yonsei University #

Conference on Singularities and Birational Geometry, Yonsei University, SEOUL, KOREA, 17-19 & 22-26 JAN #

------------

2023

Birational Geometry and Algebraic Dynamics, Tokyo, Japan, Nov 27-Dec 1

Fano varieties, their Geometry and Moduli, KIAS, Oct 30-Nov 3

A Journey through Algebraic and Complex Geometry, 부여, Sep 11-15 (a.k.a Hwang 60)

Intensive Lectures on Algebraic Geometry, 8월 15일 (화) - 8월 18일 (금) in 강릉*

BRL AG Seminar, May 24, online*

Workshop on Moduli, K-stability, Fano varieties, and related topics, IBS-CCG, May 15 - 19

AG Seminar, University of Tokyo, April 21*

AG Seminar, IBS-CGP, February 24*

Korea-Japan Conference in Algebraic Geometry, IBS-CCG, February 13 - 17

2022

Colloquium SNU, Dec 1*

IBS Center for Geometry and Physics 10th Anniversary Conference, Oct 4-6*

Algebraic Geometry Seminar, IBS-CCG, May 31*

Colloquium, Korea University, May 20*

Colloquium, Sungkyunkwan University, May 12*

KIAS AG Seminar, Jan 28*

2021

2021 대수기하 심포지엄 -ONLINE, 12월20일#

SWAG10, Dec 10#

ZAG (Zoom AG Seminar) - Nov 23*

Complex Geometry Seminar, IBS-CCG, Aug 19*

SWAG9, July 1#

Colloquium, Korea university, May 14*

AG Seminar, Academy of Mathematics and Systems Science, CAS ,Chinese Academy of Science, Feb 25*

2020

2020 Symposium in Algebraic Geometry 대수기하심포지엄 (ONLINE), Dec 21-22#

SWAG8, Sogang (ZOOM ONLINE), Dec 4#

Colloquium, KAIST, Nov 26*

Steklov Institute, May 18-22, Moscow (Cancelled)*

Small Workshop on AG (feat JSJ), Feb 24-25, Sogang University#

2019

ALGEBRAIC GEOMETRY IN AUCKLAND, Dec 16-20, 2019, Auckland, New Zealand

SWAG7, Dec 13, Ehwa Womans Univ#

BIRATIONAL GEOMETRY, KAHLER-EINSTEIN METRICS AND DEGENERATIONS in Pohang, IBS-CGP, Nov 18-22*

Algebraic Geometry International Conference, June 3-7, 2019, KIAS#

第2回大阪高次元代數多樣體論, 5月27-28日 (日本語で講演)*

Colloquium, Sogang University, May 2, 2019*

KMS Spring meeting, April 19-20, 2019, Kangwon National University*

Birational Geometry, Kahler-Einstein metrics and Degeneration, April 8-13, Moscow, Russia

AG Seminar, Feb 26, 2019, IBS-CGP, Pohang*

AG Seminar, Feb 8, 2019, KIAS*

2018

Colloquium, Pusan National University, Nov 30, 2018, Pusan*

2018 Fall Program of Moduli Spaces and Varieties, Sept. 10 - Nov. 23, 2018, Shanghai, China

ALGEBRAIC GEOMETRY IN EAST ASIA, 23-26 Oct , 2018, Hanoi, Vietnam

Joint Meeting of the Korean Mathematical Society and the German Mathematical Society, Coex, Seoul, Korea, October 3-6, 2018*

SSAG-VII at Ewha Womans University, Sep 7, 2018#

Летняя математическая школа <<Алгебра и геометрия>>, Jaroslavl, Russia, July 23-31, 2018*

"Positivity", Yonsei Univeristy (SINCHON campus), June 4-8, 2018# (Group Photo)

Algebraic Geometry in Gunsan, May 27-30, 2018*

SWAG4, Ewha Womans Univ, April 27, 2018#

AG Seminar, KAIST, Apr 10, 2018*

Colloquium, POSTECH, Apr 6, 2018*

Young Algebraic Geometer Workshop at Kyungpook Univ, Apr 4-6,2018

SSAG VI, Konkuk Univ, Mar 30, 2018

Higher dimensional algebraic geometry, Tokyo Univ, Mar 12-16, 2018

Frontiers of Algebraic Surfaces, IBS-CGP Feb 26-Mar 2, 2018*

Korea-Italy Algebraic Geometry Conference, KIAS, Jan 8-12, 2018*

2017

The Shokurovs: Workshop for Birationalists, IBS, Pohang, Dec 18-22, 2017*#

Colloquium, Inha University, Nov 29, 2017*

Colloquium, POSTECH, Nov 24, 2017* (cancelled)

Stability, Boundedness and Fano Varieties, Beijing, Aug 28-Sep 1, 2017*

Colloquium, Mathematics Department, Incheon National University, May 22, 2017*

SSAG-4, NIMS 판교 스타트업캠퍼스, May 12, 2017#

NCTS Workshop on Singularities, Linear Systems, and Fano Varieties, National Taiwan University, Taiwan, April 13-16, 2017

Algebraic Geometry Conference(a.k.a Keum 60), Haeundae, Mar 28-Apr 1, 2017*

SWAG2 - Geometry and Topology, 연세대학교, 2017년 2월 27-28일#

Research visit, Tokyo University, Feb 19-24, 2017

2016

IBS workshop, 해운대, Nov 24-27, 2016*

Int'l Conference for the 70th anniversary of KMS, SNU, Oct 20-23, 2016*

Workshop on Convexity in Algebraic Geometry, Fields Institute, Oct 2-7, 2016

SSAG 싹-하나 (Seoul Seminar on Algebraic Geometry), 연세대학교, 2016년 9월 30일-10월 1일*#

Second French-Korean Conference in Mathematics Institut de Mathématiques IMB, Bordeaux, July 4-12, 2016*

Algebraic Geometry seminar, Seoul National University, Jun 15, 2016*

Colloquium, Yonsei University, Mathematics department, Jun 9, 2016*

## AG seminar archive at Yonsei (~2020)

### USEFUL LINKS

### RESOURCES ON ALGEBRAIC GEOMETRY

Upcoming conferences in AG (maintained by Dr.Ravi Vakil)