## 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**

**RESEARCH INTEREST**Algebraic Geometry (Birational Geometry, Minimal Model Program, Positivity of divisors, Okounkov bodies, etc.)

**EMPLOYMENT**

**EMPLOYMENT**2019 Mar- : Associate Professor,

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**

**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)

**Current Students ** (as of Sep 2022)

Sungwook Jang (Ph.D)

Daewon Lee (Ph.D) - Expected to graduate in 2023 Feb

Ilhyung Jo (Ph.D)

Donghyeon "Nari" Kim (Ph.D)

*(as of Sep 2022)*

**Current Students**Sungwook Jang (Ph.D)

Daewon Lee (Ph.D) - Expected to graduate in 2023 Feb

Ilhyung Jo (Ph.D)

Donghyeon "Nari" Kim (Ph.D)

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

### PUBLICATION

**RESEARCH ****P****APERS**

**RESEARCH**

**P**

**APERS****On Subadditivity of Okounkov bodies for algebraic fiber spaces**(with Jinhyung Park), arXiv**,**to appear in**Int Math Res Notices.****On a generalized Batyrev's cone conjecture**(with Yoshinori Gongyo),**Math.Z.****Local numerical equivalences and Okounkov bodies in higher dimensions**(with Jinhyung Park, Joonyeong Won),**Michigan Math. J.**71(2): 347-372 (May 2022).**A product formula for volumes of divisors via Okounkov bodies****Int Math Res Notices.**2019 no. 22, 7118-7137 .**Okounkov bodies associated to pseudoeffective divisors**(with Yoonsuk Hyun, Jinhyung Park and Joonyeong Won),**J. London Math. Soc**. (2) 98 (2018), 170-195.**Asymptotic base loci via Okounkov bodies**(with Yoonsuk Hyun, Jinhyung Park, and Joonyeong Won),**Adv. Math**. 323 (2018), 784-810.**Okounkov bodies associated to pseudoeffective divisors II****Taiwanese J. Math**. 21 (2017), 602-620.**Okounkov bodies and Zariski decompositions on surfaces**(with Jinhyung Park and Joonyeong Won),**Bull. Korean. Math. Soc**. 54 (2017), 1677-1697.**Potentially non-klt locus and its applications**(with Jinhyung Park),**Math. Ann**. (2016) 366: 141-166 (See also arXiv for updates.)**Factorization of anticanonical maps of Fano type varieties**(with DongSeon Hwang, Jinhyung 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**

**PREPRINTS****Comparing numerical dimensions again**(with Jinhyung Park), arXiv, submitted**Okounkov bodies associated to abundant divisors and Iitaka fibrations**(with Jinhyung Park and Joonyeong Won), arXiv, submitted**ACC of plc thresholds**(with Sungwook Jang), arXiv, preprint, submittedChamber decomposition of pseudoeffective cones

**,**preprint

**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, 韓国語版)

**OTHER WRITINGS**

**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)

**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*

Colloqiuum, Sungkyunkwan University, May 12*

KIAS AG Seminar, Jan 28*

**202****1**

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 1~~~~8-22, 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

*****

### USEFUL LINKS

**RESOURCES ON ALGEBRAIC GEOMETRY**

**RESOURCES ON ALGEBRAIC GEOMETRY**Upcoming conferences in AG (maintained by Dr.Ravi Vakil)

**YONSEI LIFE**

**YONSEI LIFE****MISCELLANEOUS**

**MISCELLANEOUS**