E-mail: kszoo at kias dot re dot krAcademic Positions:
- Korea Institute
for Advanced Study, March 2015 ~ Present; Research Fellow.
- Korea Institute
for Advanced Study, March 2014 ~ February 2015; Project 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. Invited: - (invited by Prof. Ivan Cheltsov) - 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) - (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 nodal complete intersection threefolds”, work in progress. 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:- "The $4n^2$
-inequality for complete intersection singularities", Pukhlikov, Aleksandr V., Arnold Math. J. 3 (2017), no. 2, 187-196. - "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->):- "부담 없이 듣는 기하학 이야기", 초청강연, Department of Mathematics Education, Mokpo National University, Mokpo, Dec. 15, 2017. (60 minutes)- "On a conjecture of Cilliberto-Di Gennaro", Workshop on Algebraic Geometry-Gunsan, Gunsan, Nov. 19-21, 2017. (60 minutes)- "Points in projective spaces and some applications", Symposium in Algebraic Geometry, Haeundae, Dec. 25-27, 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", - "Factoriality of nodal threefolds ", 2016 고등과학원 여름캠프, KIAS, Seoul, July 28-29, 2016. (50 minutes)KIAS CMC & Math Workshop, Jeonju, June 1-3, 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, KIAS, Seoul, 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. |