Associate professor in the Mathematics Department, Yonsei university, Seoul, Korea.
Research interest : birational algebraic geometry.
Email : sungrakc(at)yonsei.ac.kr
Algebraic Geometry : Birational Geometry, variations of Minimal Model Program, Positivity of divisors, Okounkov bodies, etc.
2019 Mar- : Associate professor
2022 Sep - 2024 Aug : 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
2003 - 2008: Ph.D. Mathematics (advisor: Vyachelav V. Shokurov),
Johns Hopkins University, USA
1996 - 2003: B.S., Magna Cum Laude, Mathematics,
Yonsei University, Seoul, Republic of Korea
(Jul 20, 1998 - Sep 19, 2000: mandatory military service)
See CV for more information, which is almost never up to date.
On Minimal Model Program and Zariski Decomposition of Potential Triples (with S.Jang, D.Lee), accepted in Taiwanese Journal of Mathematics
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
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), arXiv, submitted
Variation of cones of divisors in a family of varieties -- Fano type case (with Z.Li, C.Zhou), arXiv
BOOK/TRANSLATION
안톤의 선형대수 (Contemprorary Linear Algebra by Howard Anton , Robert C. Busby) 번역 - 최성락, 고형준 외 7인 (텍스트북스, 2025년2월출판)
현대대수학 (A First Course in Abstract Algebra by John B. Fraleigh , Neal E. Brand) 번역 - 김연수,유명준,유화종, 최성락 번역 (Pearson Education Asia, 2024년1월 출판)
플립러닝을 위한 대수학 - 환, 체 그리고 갈루아 이론편, 원준영 , 박유진 , 박진형 , 송은정 , 정기룡 , 최성락 , 홍규식 지음 (경문사, 2021년10월 출판)
ISBN: 9791160734690
대수곡선론-오기소 케이지 지음, 최성락 옮김, (경문사,2021년 9월 출판) 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
필즈메달 수상자, 코처 비르카 소개 in Horizon (webzine published by KIAS)
This is the list of conferences/workshop that I may attend or have attended.
(*=speaker, #=organizer)
2025
2025 Summer Research Institute in Algebraic Geometry, Colorado, USA, July 14 ~ Aug 1
SWAG17 in Pusan June 30 - Jul 1
China Southeastern Algebraic Geometry Symposium VIII, SUSTECH, China, June 9-13 *
AG Seminar, AMSS, Beijing, China, April 24 *
AG Seminar, Beijing University, China, April 24 *
Yonsei Workshop on Birational Geometry, Seoul, March 30 #
2025 Pohang Workshop on Birational Geometry, Pohang, IBS-CGP, March 24-28 *
SNU Seminar, Feb 27 *
Conference - Affine Geometry and Birational Geometry, Feb 10-14, Gyeongpo *
Workshop on Fano spherical varieties - 2025, Feb 3-7, Yonsei University #
2024
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*
Upcoming conferences in AG (maintained by Dr.Ravi Vakil)