Personal Information
Jinhyung Park (박진형, )
KIAS Assistant Professor (Mentor: Jun-Muk Hwang)
office: 1415, School of Mathematics, Korea Institute for Advanced Study (KIAS), 85 Hoegiro, Dongdaemun-gu, Seoul 02455, Republic of Korea
e-mail: parkjh13_at_kias_dot_re_dot_kr
CV [link]
 
I obtained my Ph.D from KAIST, where my advisor was Sijong Kwak.
Please do not confuse me with Jinhyun Park, a professor of KAIST. My first name has one more letter 'g' at the end.

Research Interests
Algebraic Geometry
1. Positivity of divisors - Seshadri constants and Okounkov bodies
2. Projective geometry - Castelnuovo-Mumford regularity and secant varieties
3. Birational geometry - singularities of pairs, log Fano varieties, and Mori dream spaces/Cox rings

Publication List
1. Cones of divisors of blow-ups of projective spaces (with Salvatore Cacciola, Maria Donten-Bury, Olivia Dumitrescu, Alessio Lo Giudice), Matematiche (Catania) 66 (2011), 153-187. [journal

2. Characterization of log del Pezzo pairs via anticanonical models (with DongSeon Hwang), Math. Z. 280 (2015), 211-229. [journal[arXiv]
3. Redundant blow-ups of rational surfaces with big anticanonical divisor (with DongSeon Hwang)JPAA 219 (2015), 5314-5329. [journal[arXiv]
4. Factorization of anticanonical maps of Fano type variety (with Sung Rak Choi, DongSeon Hwang), IMRN 2015 no. 20 (2015), 10118-10142. [journal[arXiv]

5. Geometric properties of projective manifolds of small degree (with Sijong Kwak)Math. Proc. Cambridge Philos. Soc. 160 (2016), 257-277. [journal[arXiv]
6. Cox rings of rational surfaces and redundant blow-ups (with DongSeon Hwang)Trans. Amer. Math. Soc. 368 (2016), 7727-7743. [journal[arXiv]
7. Potentially non-klt locus and its applications (with Sung Rak Choi), Math. Ann. 366 (2016), 141-166. [journal] (see also [arXiv] for update)

8. Hilbert functions of Cox rings of del Pezzo surfaces (with Joonyeong Won)J. Algebra 480 (2017), 309-331. [journal[arXiv]
9. Okounkov bodies associated to pseudoeffective divisors II (with Sung Rak Choi, Joonyeong Won)Taiwanese J. Math. 21 (2017), 602-620 (special issue for the proceedings of the conference "Algebraic Geometry in East Asia 2016") [journal[arXiv]
10. Log Fano structures and Cox rings of blow-ups of products of projective spaces (with John Lesieutre), Proc. Amer. Math. Soc. 145 (2017), 4201-4209.  [journal[arXiv]
11. A Castelnuovo-Mumford regularity bound for scrolls (with Wenbo Niu), J. Algebra. 488 (2017), 388-402. [journal[arXiv]
12. Okounkov bodies and Zariski decompositions on surfaces (with Sung Rak Choi, Joonyeong Won), Bull. Korean. Math. Soc. 54 (2017), 1677-1697 (special volume for Magadan Conference) [journal[arXiv]

13. Asymptotic base loci via Okounkov bodies (with Sung Rak Choi, Yoonsuk Hyun, Joonyeong Won), Adv. Math. 323 (2018), 784-810 [journal[arXiv]
14. Okounkov bodies associated to pseudoeffective divisors (with Sung Rak Choi, Yoonsuk Hyun, Joonyeong Won)J. London Math. Soc. (2) 98 (2018), 170-195 [journal][arXiv]


Preprints
1. A bound for Castelnuovo-Mumford regularity by double point divisors (with Sijong Kwak), preprint. [arXiv]
2. A Castelnuovo-Mumford regularity bound for threefolds with rational singularities (with Wenbo Niu), submitted.
3. Okounkov bodies associated to abundant divisors and Iitaka fibrations (with Sung Rak Choi, Joonyeong Won), submitted. [arXiv]
4. Classification and syzygies of smooth projective varieties with 2-regular structure sheaf (with Sijong Kwak), submitted. [arXiv]
5. A product formula for volumes of divisors via Okounkov bodies (with Sung Rak Choi, Seung-Jo Jung, Joonyeong Won), submitted. [arXiv]

Other Writings
1. Cox rings of log canonical Fano pairs: an appendix to Log canonical pairs with boundaries containing ample divisors by Zhengyu Hu. [arXiv]