Prof. Jae-Hyouk Lee

Faculty Introduction

Office: Science Complex Building B room 314
Tel: 02-3277-3346
Email: jaehyoukl@ewha.ac.kr
Web: http://home.ewha.ac.kr/jaehyouk/

Research Area

Differential Geometry
Algebraic Geometry
Symplectic Geometry

Lab Introduction

We study differentail geometry, symplectic geometry, and algebraic geometry. Distinctive characters and uniform aspects of these geometries, especially octonions, are main motives for our researches.

The researches have been successfully performed in the geometry of manifolds with special holonomies, comparative study of polytopes and complex surfaces along the representations of exceptional Lie groups. Therefrom, we contribute to construct new geometric spaces and to produce creative comparative studies among them. These were published in Advances in Mathematics and Transactions of the American Mathematical Society.

Major research projects and Research achievements

Geometry of polygon spaces via spin representation
Isoparametric geometry of spheres and complex geometry of spherical varieties
Geometry along the magic square and its complexification
Comparative study of moment polytopes in symplectic geometry and algebraic geometry

Selected research papers

Mathscinet

Lee, J.-H. “Gosset Polytopes in Picard Groups of del Pezzo Surfaces” Canadian Journal of mathematics 64 no1 (2012) 123-150,
Lee, J.-H. “Gosset Polytopes and Configuration of lines in del Pezzo Surfaces”Trans. Amer. Math. Soc. 366, (2014) 4939-4967
Lee, J.-H. “Contaction of del Pezzo surfaces to P^2or P^1 ×P^1 ”Rocky Mountain Journal of Mathematics 46(4) (2016) 1263-1273
Clingher, A. and Lee, J.-H. “Lorentizian Lattices and E-polytopes” Symmetry-Basel. (2018) 10 (10)
Lee, J.-H., Park, K.-D. and Yoo, S.“ Kahler-Einstein Metrics on Smooth Fano Symmetric Vaieties with Picard Number One, Mathematics, 2021

Graduate Students

Eunjeong Lee Ph. D student
Research Area: Geometry/Topology
Myoungyoun Kim Ph. D student
Research Area: Geometry/Topology

Research Areas