Currently, I am a research fellow at KIAS, Republic of Korea (mentor: Prof. Jun-Muk Hwang).
I got my Ph. D. at Postech in the Spring of 2009; my thesis advisor was Prof. Jihun Park.

E-mail: kszoo at kias dot re dot kr

Academic Positions:

 

- Korea Institute for Advanced Study, March 2015 ~ Present; Research Fellow.
- Korea Institute for Advanced Study, March 2014 ~ February 2015; Project Research Fellow.

- Konkuk University, March 2013 ~ February 2014; Research Professor.

- Konkuk University, March 2010 ~ February 2013; Post-Doctoral Research Fellow.

- Seoul National University, March 2009 ~ February 2010; BK21 Post-Doctoral Research Fellow.


My primary areas of interests include

- Algebraic geometry
The factoriality of threefolds with isolated singularities, The speciality of linear systems through fat points on projective space, Rationality(uni-rationality, rationally connectedness) of nodal threefolds.

- Some problems in Differential geometry
A maximum principle on a complete Riemannian manifold, The spectrum of the Dirac operator on some spin (or spin- c) manifolds.

Visiting:

Laboratory of algebraic geometry and its applications, National Research University Higher School of Economics / Steklov Mathematical Institute, Moscow, Russia, August 10 ~ October 30, 2016.

  (invited by Prof. Yuri Prokhorov & Dr. Shramov)

- RIMS, Kyoto University, Kyoto, Japan, The 3-rd MSJ-SI, Development of galois-Teichmüller Theory and Anabelian geometry, October 25~30, 2010.

  (invited by Mathematical Society of Japan)


Publications:

1. “Alpha invariant for general polarizations of del Pezzo surfaces of degree 1 (with Joonyeong Won)”, Math. Nachr. Volume 290, Issue 11-12, August 2017, 1689-1700. 
2.Factorial quartic double solides”, Internat. J. Algebra Comput.25 (2015), no. 7, 1179-1186.
3. “The symmetry of spin-C Dirac spectrums on Riemannian product manifolds (with Chanyoung Sung)”, J. Korean Math. Soc. 52 (2015), No.5, pp.1037-1049.
4. “Some inequalities for the Omori-Yau maximum principle”, Abstr. Appl. Anal. vol. 2015, Article ID 410896, 7 pages, DOI:10.1155/2015/410896.
5. “Non-factorial quartic double solids”, Adv. Geom. 14:1 (2014), 161-174.
6. “Nonrationality of nodal quartic threefolds”, Pacific J. Math. 266:1 (2013), 31-42. 
7. “An Omori-Yau maximum principle for semi-elliptic operators and Liouville-type theorems (with Chanyoung Sung),” Differential Geom. Appl. 31: 4 (2013), 533-539.
8. “On factorial double solids with simple double points (with Jihun Park)”,  J. Pure Appl. Algebra, 208:1 (2007), 361-369.

Preprints/Works in Progress:

1. “On factorial nodal hypersurfaces in P^4”, submitted.
2. “Some irrational quartic threefolds (with Joonyeong Won)”, submitted.
3. “Some factorial complete intersection threefolds in P^5 (with In-kyun Kim)”, submitted.
4. “Comparison for the Omori-Yau maximum principle”, work in progress.
5. “Classification of all the factorial quartic hypersurfaces in P^4 with nodes”, work in progress.
6. “G-factorial double solids”, in preparation.

Mathematical Reviews:

- "Smooth double subvarieties on singular varieties, III", Gonzalez-Dorrego, M. R, Algebra, logic and number theory, Banach Center Publ., 108, Polish Acad. Sci. Inst. Math., Warsaw, 2016, 85-93.
- "On Saito's normal crossing condition", Schulze, Mathias, J. Singul. 14 (2016), 124-147.
- "Local positivity in terms of Newton-Okounkov bodies", Ro\'e, Joaquim, Adv. Math. 301 (2016), 486-498.
- "Harbourne constants and arrangements of lines on smooth hypersurfaces in P^4", Pokora, Piotr, Taiwanese J. Math. 20 (2016), no. 1, 25-31.
- "Rational connectedness and order of non-degenerate meromorphic maps from $\Bbb{C^n$}", Campana, Fr\'ed\'eric\ and Winkelmann, J\"org), Eur. J. Math. 2 (2016), no. 1, 87-95.


Institutional Publication (KIAS, 2015):

Talks (2016):

- "Points in projective spaces and some applications", Symposium in Algebraic Geometry, Haeundae, Dec 26, 2016. (40 minutes)
- "On factorial nodal hypersurfaces in P^4", weekly seminar, Laboratory of algebraic geometry and its applications, National Research University Higher School of Economics, Moscow, Aug 19, 2016. (70 minutes)
- "기하학 캠프", 2016 고등과학원 여름캠프,  July 29, 2016. (50 minutes)
- "Factoriality of nodal threefolds ", KIAS CMC & Math Workshop, Jeonju, June 1, 2016. (20 minutes)
- " Factoriality of some nodal threefolds", Iskovskikh Seminar, Steklov Mathematical Institute, Moscow, May 19, 2016. (90 minutes)
- "선에 숨은 π 찾기", 2016 고등과학원 π Day,  March 14, 2016. (30 minutes)

Teaching Experience:

- Konkuk University, Mathematics, Spring 2013.
- Konkuk University, Advanced Engineering Mathematics 1, Summer 2012.
- Konkuk University, Advanced Engineering Mathematics 1, Spring 2012.
- Konkuk University, Mathematics and Exercise 2, Spring 2011.
- Konkuk University, Introduction to Mathematics, Fall 2010.
- Konkuk University, Mathematics and Exercise 1, Spring 2010.
- Seoul National University, Calculus for Humanities and Social Sciences, Fall 2009.
- Seoul National University, Calculus for Life Sciences, Spring 2009.