leonwon at ewha dot ac dot kr
Position
Assistant professor, Ewha Womans University 2022/03--2023/02
Associate professor, Ewha Womans University 2023/03--
Research interest
(singular) Fano varieties , Kaehler-Einstein metric, K-stability, log canonical threshold,
alpha invariant, Okounkov body.
Selected publications
1. Simply connected Sasaki-Einstein rational homology 5-spheres (with Jihun Park)
Duke Math. J. (2021) 170 (6), 1085-1112.
2. K-stability of smooth del Pezzo surfaces (with Jihun Park)
Math. Ann. 372 (2018), no. 3-4, 1239–1276.
3. Asymptotic base loci via Okounkov bodies(with Sung rak Choi, Yoonsuk Hyun, Jinhyung Park)
Adv. Math. 323 (2018), 784-810
4. Cylinders in singular del Pezzo surfaces (with Ivan Cheltsov and Jihun Park),
Compositio. Math. 152 (2016), 1198-1224.
5. Affine cones over smooth cubic surfaces(with Ivan Cheltsov and Jihun Park),
J. Eur. Math. Soc.(JEMS) 18 (2016), no. 7, 1537-1564.
Funds
NRF(2014/11~2016/04) 2014R1A1A2056432
NRF(2020/03~2025/02) 2020R1A2C1A01008018
NRF(2022/11~2027/12) 2022M3C1C8099346
Awards
POSCO Science Fellowship, TJ Park Foundation, 2024–2025
The 1st KIAS Alumni Academic Award of Mathematics
Published/Accepted papers
1. Log canonical thresholds on del Pezzo surfaces of degree >=2 (with Jihun Park),
Nagoya Math. J. 200 (2010), 1-26.
2. Log canonical thresholds on Gorenstein canonical del Pezzo surfaces (with Jihun Park),
Proc. Edinb. Math. Soc. 54 (2011), no. 1, 187-219.
3. Slope of a del Pezzo surface with du Val singularities ,
Bull. London Math. Soc. (2013) 45(2): 402-410.
4. Log canonical thresholds of certain Fano hypersurfaces(with Ivan Cheltsov and Jihun Park),
Math. Z. 276 (2014), no. 1-2, 51-79.
5. Slope stability of Fano fourfolds with respect to smooth surfaces (with Hosung Kim),
Adv. in Geom. (2014) 14, Issue 4, 719-734
6. Affine cones over smooth cubic surfaces(with Ivan Cheltsov and Jihun Park),
J. Eur. Math. Soc.(JEMS) 18 (2016), no. 7, 1537-1564.
7. Flexibility of affine cones over del pezzo surface of degree 4 (with Jihun Park),
European J. Math. (2016) 2, Issue 1, 304-318
8. Cylinders in singular del Pezzo surfaces (with Ivan Cheltsov and Jihun Park),
Compositio. Math. 152 (2016), 1198-1224.
9. Cylinders in del Pezzo surfaces (with Ivan Cheltsov and Jihun Park),
IMRN. (2017) 2017 (4): 1179-1230.
10. Hilbert functions of Cox rings of del Pezzo surfaces (with Jinhyung Park)
J. Algebra 480 (2017), 309-331.
11. Okounkov bodies associated to pseudoeffective divisors II (with Sung Rak Choi, Jinhyung Park)
Taiwanese J. Math. Vol 21, No 3 (2017), 601-620 (special issue for the proceedings of the conference "Algebraic Geometry in East Asia 2016")
12. Alpha invariant for general polarizations of del Pezzo surfaces of degree 1 (with Kyusik Hong),
Math. Nachr. Volume 290, Issue 11-12, (2017), 1689-1700.
13. Okounkov bodies and Zariski decompositions on surfaces (with Sung Rak Choi, Jinhyung Park)
Bull. Korean. Math. Soc. (2017), 54, 1677-1697 (Special Volume for Magadan Conference)
14. Asymptotic base loci via Okounkov bodies(with Sung rak Choi, Yoonsuk Hyun, Jinhyung Park)
Adv. Math. 323 (2018), 784-810
15. Alpha invariants of birationally rigid Fano threefolds (with In-kyun Kim and Takuzo Okada)
IMRN. (2018) 2018, Issue 9, 2745–2800
16. K-stability of smooth del Pezzo surfaces (with Jihun Park)
Math. Ann. 372 (2018), no. 3-4, 1239–1276.
17. Okounkov bodies associated to pseudoeffective divisors (with Sung rak Choi, Yoonsuk Hyun, Jinhyung Park)
J. London Math. Soc. (2) 98 (2018), 170-195
18. Cylinders in Rational Surfaces (with Lisa Marquand)
European J. Math. 4 (2018), no. 3, 1161–1196
19. Weakly exceptional singularities of log del pezzo surfaces (with In-kyun Kim)
Internat. J. Math. Vol. 30, No. 1 (2019) 1950010
20. A product formula for volumes of divisors via Okounkov bodies (with Sung rak Choi,Seung-Jo Jung and Jinhyung Park )
IMRN. 2019 no. 22, 7118-7137
21. Simply connected Sasaki-Einstein rational homology 5-spheres (with Jihun Park)
Duke Math. J. (2021) 170 (6), 1085-1112.
22. Alpha invariants of birationally bi-rigid Fano threefolds (with In-kyun Kim and Takuzo Okada)
European J. Math. 7. (2021) no.1 272–308.
23. Unstable singular del Pezzo hypersurfaces with lower index (with In-kyun Kim)
Comm. Algebra (2021) 49:6, 2679-2688,
24. Some irrational quartic threefolds (with Kyusik Hong)
Bull. Korean Math. Soc. 59 (2022), no. 2, 361–373.
25. Alpha invariant along curves for general polarizations of del Pezzo surfaces of degree 2.
J. Korean Soc. Math. Educ. Ser. B Pure Appl. Math. 29 (2022), no. 2, 161–170.
26. Local numerical equivalences and Okounkov bodies in higher dimensions (with Sung rak Choi and Jinhyung Park )
Michigan Math. J. 71(2): 347-372 (May 2022).
27. K-stability of log del Pezzo surface with index 2 (with In-kyun Kim and Nivedita Viswanathan)
Internat. J. Math. 33 (2022), no. 14, Paper No. 2250070, 46 pp.
28. On singular del Pezzo hypersurfaces with index 3 (with In-kyun Kim and Nivedita Viswanathan)
Springer Proc. Math. Stat., 409 Springer, Cham, (2023), 409–422.
29. New Sasaki-Einstein 5-manifolds (with Dasol Jeong, In-Kyun Kim and Jihun Park)
J. London Math. Soc. (2) Volume 107 (2023), Issue 3,821-1171
30. Delta-invariants of complete intersection log del Pezzo surfaces (with In-kyun Kim)
Proc. Roy. Soc. Edinburgh Sect. A . 153 (2023), no. 3, 1021–1036.
31. K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces (with In-kyun Kim and Takuzo Okada)
Forum Math. Sigma 11 (2023), Paper No. e93.
32. Correspondence of Donaldson-Thomas and Gopakumar-Vafa invariants on local Calabi-Yau 4-folds over V5 and V22
(with Kiryong Chung and Sanghyeon Lee)
J. Geom. Phys. 197 (2024), Paper No. 105082, 15 pp.
33. K-unstable singular del Pezzo surfaces without anticanonical polar cylinder (with In-kyun Kim and Jaehyun Kim)
IMRN. (2024), no. 18, 12599–12619.
34. Okounkov bodies associated to abundant divisors and Iitaka fibrations (with Sung Rak Choi, Jinhyung Park)
Documenta Math. to appear
35. Cylinders in smooth del Pezzo surfaces of degree 2 (with Jaehyun Kim)
Adv. Geom. to appear
Preprint
36. K-polystability of the first secant varieties of rational normal curves (with In-kyun Kim and Jinhyung Park)
Preprint
37. Rigid Affine Cones over Singular Del Pezzo Surfaces (with In-kyun Kim and Jaehyun Kim)
Preprint
38. Classification of Singular Del Pezzo Surfaces (with In-kyun Kim)
Preprint
39. On K-stability of Blow-ups of Weighted Projective Planes (with In-kyun Kim)
Preprint
40. Simply connected positive Sasakian 5-manifolds (with Dasol Jeong and Jihun Park)
Preprint