Research interests

Algebraic geometry with a syzygetic viewpoint and Commutative algebra problems, its applications to classical algebraic geometry and computational problems.

Now, I'm specially interested in such problems as

-Interplay between syzygies and geometry of embedded projective varieties;

-Generic initial ideal, (partial) Elimination theory, and its geometric applications;

-Tensor ranks and geometry of higher secants of Segre, Veronese, and Grassmann

  varieties, etc;

-Low-codimensional geometry : Special varieties with prescribed entry locus and

  Hartshorne conjecture on complete intersections;

-Bounds on Castelnuovo-Mumford regularity. 

Events

2023 KMS Annual Meeting (contributed talk), SNU, Seoul, Korea, October 26-28, 2023.

Algebraic Geometry in East Asia (invited talk), KIAS, Seoul, Korea, November 6-10, 2023.

Workshop on Classical Algebraic Geometry (invited talk), IBS-CCG, Daejeon, Korea, December 12-15, 2023.

Symposium on Algebraic Geometry (organizer), Busan, Korea, January 3-5, 2024.

Okayama Algebraic Geometry Symposium (invited talk), Okayama, Japan, January 16-19, 2024.

Past Events

AGATES Workshop - Geometry of secants (invited talk), IMPAN, Warsaw, Poland, October 24-28, 2022.

9th YeungNam Seminar on Algebraic Geometry (invited talk), Jinju, October 14-15, 2022.

Combinatorial, Computational, and Applied Algebraic Geometry U. Washington, Seattle, June 27-July 1, 2022.

Algebraic Geometry + Commutative Algebra seminar (invited talk) U. Notre Dame, March 2022.

Workshop for Software in Algebra & Geometry - Series I (organizer) on-line, February 2022.

LLfS - Geometric Invariant Theory (organizer) on-line, February 2022.

Algebraic Geometry Today - Series I (organizer) on-line mini-workshop, January 2022.

CA+AG Seminar at UC Berkeley (invited talk) September 2021.

Lectures on Tensors and Secants (invited lecture series) KAIST, Daejeon, South Korea , February-May 2021.

6th YeungNam Seminar on Alegebraic Geometry (invited talk) KNU, Daegu, South Korea , October 11-12, 2019.

4th YeungNam Workshop on Alegebraic Geometry, (organizer), DGIST, Daegu, South Korea , November 16-17, 2018.

Algebraic Geometry and Computer Vision (co-organizer with D. Hyeon, Y. Woo, K. Kohn, C. Reiner), session on Joint Meeting of the Korean Mathematical Society and the German Mathematical Society, Seoul, October 3-6, 2018.

Korean-Italian meeting on Algebraic Geometry 2018 (invited talk), KIAS, Seoul, South Korea, January 8-12, 2018.

2016 Syzygies, Exterior algebras, Coherent sheaf cohomology and Applications Workshop Jeju, South Korea, August 24-27, 2016.

Syzygies in Algebra and Geometry 2015 (co-organizer with A. Conca, S. Kwak), Haeundae, Busan, South Korea, August 26-29, 2015.

Workshop on Applied Algebraic Geometry at DGIST , (organizer), DGIST, Daegu, South Korea , June 30, 2015.

Workshop on Projective geometry and Syzygies (co-organizer), Banach Center, Warsaw, Poland, April 9-12, 2015.

Symbolic and Numerical Methods for Tensors and Representation Theory, Simons Institute for Theory of Computing, Berkeley, USA, November 17-20, 2014.

Tensors in Computer Science and Geometry, Simons Institute for Theory of Computing, Berkeley, USA, November 10-14, 2014.

AG+CA Seminar (invited talk), U. Notre Dame, South Bend, IN, USA, November 5, 2014.

Seoul ICM 2014 Satellite conference on Algebraic and Complex Geometry (invited talk), DCC, Daejeon, South Korea , August 6-10, 2014.

Mini-workshop on Algebraic Geometry and its Applications , (co-organizer with I. Choe, Y. Woo), KIAS, Seoul, South Korea , February 21, 2014.

Winter School in Algebraic Geometry and Applications , (co-organizer with I. Choe, Y. Woo), Konkuk Univ., Seoul, South Korea , February 17-20, 2014.

Teaching

link

Positions

2018.9 – present : Daegu-Gyeongbuk Institute of Science & Technology (DGIST), Associate professor

2015.1 – 2018.8 : Daegu-Gyeongbuk Institute of Science & Technology (DGIST), Assistant professor

2014.3 – 2015.1 : Korea Institute for Advanced Study (KIAS), KIAS Assistant professor

2012.3 – 2014.2 : Korea Institute for Advanced Study (KIAS), Research fellow

2010.3 – 2012.2 : Korea Advanced Institute of Science and Technology (KAIST), Algebraic Structure and its Application Research Center (ASARC), Postdoctoral researcher

Education

Ph.D. Dept. of Mathematical Sciences, KAIST, 2010.
- Dissertation: A study on some infinitely generated graded modules, projections, and applications (Advisor: Sijong Kwak).

M.A. Dept. of Mathematics, KAIST, 2004.

B.S. Dept. of Mathematics, KAIST, 2002.

Other professional experience

Dept. of Math., UC Berkeley (US), Visiting scholar (Host: D. Eisenbud), August 2021-July 2022.

Korean Society for Industrial and Applied Mathematics (KSIAM), Member of Board of trustees, 2019-2020.

Fields Institute for Research in Mathematical Sciences, Toronto (Canada), Research Member (Thematic Program on Combinatorial Algebraic Geometry), July-August 2016.

National Institute for Mathematical Sciences (NIMS), Daejeon (South Korea), Visiting Scholar (Thematic Program on Applied Algebraic Geometry), May–July 2014.

MSRI, Berkeley (US), Research Member (Program: Commutative Algebra), April-May 2013.

KIAS, Seoul (South Korea), Visitor (Host: JongHae Keum), August–September 2011.

Universität des Saarlandes, Saarbrücken (Germany), Visitor (Host: Frank-Olaf Schreyer), KOSEF- DAAD Summer Institute Program, July–August 2009.