Kangjin Han

 

Research interests


Algebraic geometry with a syzygetic viewpoint and Combinatorial 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


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

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

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

Invited talk at AG/CA Seminar (Organizer: Juan Migliore), U. Notre Dame, Notre Dame, USA, November 5, 2014.

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

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


Positions


2015.1 – : 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


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.


Links


  1. -Workshop on Projective geometry and Syzygies

  2. -KIAS Algebraic Geometry and Commutative Algebra seminars (AG+CA @KIAS)

  3. -Winter School in Algebraic Geometry and Applications

  4. -Mini-workshop on Algebraic Geometry and its Applications

  5. -Seoul ICM 2014 Satellite conference on Algebraic and Complex Geometry

- Seoul ICM 2014 (main event)


Assistant professor


School of Undergraduate Studies

Daegu-Gyeongbuk Institute of Science

& Technology (DGIST)

Daegu, Republic of Korea


office: E7, L15

e-mail: kjhan (add “at” dgist “dot” ac “dot” kr)

phone: + 82-53-785-6629

fax: + 82-53-785-6609 (shared)