Research Interest
My research interests are in partial differential equations and applied mathematics, especially in the spectral (scattering) theory and its computation. Currently I am working on the following topics:
1. Dispersion relations related to two-dimensional nano-structures,
2. Localization of eigenfunctions
3. Quantum graph theory
Papers & Preprints
| 4 | A Fermi Golden Rule for Quantum Graphs (with Maciej Zworski), J. Math. Phys. 57, 092101 (2016)
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3 | Dirac cones for point scatterers on a honeycomb lattice, SIAM J. Math. Anal., 48(2), 1459-1488 (2016)
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| 2 | Eigenvalues of Seba billiards with localization of low-energy eigenfunctions, J. Phys. A: Math. Theor. 49 085204 (2016) |
| 1 | Localization of low-energy eigenfunctions in Seba billiards, Phys. Rev. E 90, 062904 (2014)
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Talks
| 3 | Interlacing eigenvalues of Quantum Graphs, Berkeley HADES, Sep 2015
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| 2 | Point Scatterers on a Periodic Structure, KAIST PDE Seminar, June 2014 HADES, Mar 2014
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| 1 | Spectral properties of 2D-Schrödinger equation with Honeycomb Lattice Potential, HADES, Oct 2012
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Updated on 9/10/2016
by Minjae Lee