Contact information:

Research interests

• Spectral geometry: relation between the geometry of manifold and eigenvalue spectum of Laplacian
• Geometric flows: geometric evolution equations governed by extrinsic curvature (and also Ricci flow)
• Lattice points counting: counting lattice points in Euclidean spaces
• Heat content asymptotics: computation of heat content defined in Riemannian manifolds with given singular data

Recent publication and preprints (since 2012)

• Distribution of integral lattice points in an ellipsoid with a diophantine center
  (with J. Han, Y.C. Kim and S. Lim)
  
  
• Anisotropic flow of convex hypersurfaces by the square root of the scalar curvature
  (with L. Kim and K. Lee)
  
  
• Neumann heat content asymptotics with singular initial temperature and singular specific heat
  (with M. van den Berg and P. Gilkey) to appear in J. Fixed Point Theory Appl.
  
  
• Isospectral surfaces of genus two and three
  (with D. Barden) appeared in Math. Proc. Camb. Phil. Soc, vol.153 (2012)

Co-organizer for the following seminars at KIAS:

• Geometric Analysis and PDE Seminar
• Nonlinear PDE seminar
• Recent Progress and Challenges in Nonlinear Partial Differential Equations