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

- Differential Geometry
- Algebraic Geometry
- Symplectic Geometry

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.

- 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

- 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

- Eunjeong Lee Ph. D student

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

Research Area: Geometry/Topology