권 예 현 (Kwon, Yehyun / 權 蕊 顯)
Welcome! I am a mathematician working in analysis.
Address : 20 Changwondaehak-ro Uichang-gu Changwon-si, Gyeongsangnam-do 51140 KOREA
Email : yehyunkwon[at]changwon[dot]ac[dot]kr
Research interests
Harmonic analysis
Partial differential equations
Education
Ph. D. in Mathematics, February 2019, Seoul National University (Advisor : Prof. Sanghyuk Lee)
Dissertation : Sharp estimates for singular multiplier operators on Lebesgue spaces
M. S. in Mathematics, August 2012, Seoul National University (Advisor : Prof. Sun-Sig Byun)
B. S. in Mathematics, February 2010, Seoul National University
Employment
Assistant Professor, Department of Mathematics, Changwon National University (CWNU), September 2022 - present
Research Fellow, School of Mathematics, Korea Institute for Advanced Study (KIAS), March 2019 - August 2022
Publications and preprints
Carleman inequalities and unique continuation for the polyharmonic operators (with E. Jeong and S. Lee), J. Differential Equations 385 (2024)
Quantum revivals and fractality for the Schrodinger equation (with G. Cho, J. Kim, S. Kim, and I. Seo), preprint, arXiv, to appear in Rep. Math. Phys.
Strichartz and uniform Sobolev inequalities for the elastic wave equation (with S. Kim, S. Lee, and I. Seo), Proc. Amer. Math. Soc. 151 (2023)
Pointwise convergence for the elastic wave equation (with C. Cho, S. Kim, and I. Seo), Arch. Math. (Basel) (2022)
Carleman estimates and boundedness of associated multiplier operators (with E. Jeong, and S. Lee), Comm. Partial Differential Equations 47 (2022)
Uniqueness in the Calderón problem and bilinear restriction estimates (with S. Ham and S. Lee), J. Funct. Anal. 281 (2021)
Resolvent estimates for the Lamé operator and failure of Carleman estimates (with S. Lee and I. Seo), J. Fourier Anal. Appl. 27 (2021)
Strichartz estimates and local regularity for the elastic wave equation with singular potentials (with S. Kim and I Seo), Discrete Contin. Dyn. Syst. 41 (2021)
Sharp resolvent estimates outside of the uniform boundedness range (with S. Lee), Commun. Math. Phys. 374 (2020)
Sharp Lp-Lq estimates for the spherical harmonic projection (with S. Lee), RIMS Kokyuroku Bessatsu B70, (2018) the front page of the reviewer's report
Uniform Sobolev inequalities for second order non-elliptic differential operators (with E. Jeong and S. Lee), Adv. Math. 302 (2016)
Invited talks
Unique continuation for the Schrödinger operators, Harmonic Analysis seminar, Sonic City Building, Omiya, Japan, November 2023
Unique continuation for the polyharmonic operators, Lisbon WADE, Instituto Superior Técnico, Lisbon, Portugal, July 2023
Unique continuation for the polyharmonic operators, 9th East Asian Conference in Harmonic Analysis and Applications, Online, August 2022
Unique continuation for the polyharmonic operators, Harmonic Analysis seminar, Seoul National University, Korea, April 2022
Unique continuation for the polyharmonic operators I, II, Analysis seminar, Yonsei University, Korea, February 2022
The Talbot effect for the Schrödinger equation (online), Intensive Lectures on Harmonic Analysis and PDEs, Jeonbuk National University, Korea, July 2021
Estimates for spectral projections on the flat torus (online), Harmonic Analysis seminar, Seoul National University, Korea, May 2021
Resolvent estimates for the Laplacian on compact manifolds I, II (online), Harmonic Analysis seminar, Seoul National University, Korea, November 2020
Sharp resolvent estimates for the Lamé operator and failure of Carleman estimates, Harmonic Analysis Workshop in Seoul, Seoul National University, Korea, February 2020
Sharp estimates for Laplacian resolvent outside of the uniform boundedness range, Analysis workshop, University of Seoul, Korea, December 2019
Resolvent estimates for the Lamé operator and failure of Carleman estimates, Harmonic Analysis seminar, Seoul National University, Korea, October 2019
Sharp estimates for Laplacian resolvent outside of the uniform boundedness range, 7th East Asian Conference in Harmonic Analysis and Applications, Chung-Ang University, Korea, August 2019
Sharp resolvent estimates outside of the uniform boundedness range, Analysis workshop, Hanyang University, Korea, June 2019
Sharp estimates for singular multiplier operators on Lebesgue spaces, Analysis seminar, Yonsei University, Korea, February 2019
Sharp estimates for singular multiplier operators on Lebesgue spaces, Analysis seminar, Korea Institute for Advanced Study, Korea, December 2018
Sharp Lp-Lq estimates for the spherical harmonic projection, Topics in Harmonic Analysis, Seoul National University, Korea, November 2017
Sharp resolvent estimates for second order differential operators, 5th East Asian Conference in Harmonic Analysis and Applications, Zhejiang University of Science and Technology, China, June 2017
Uniform Sobolev inequalities for second order non-elliptic differential operators, Interactions between Harmonic and Geometric Analysis, Saitama University, Japan, November 2016
Uniform Sobolev inequalities for second order differential operators, 3rd East Asian Conference in Harmonic Analysis and Applications, University of Tokyo, Japan, August 2015
Uniform Sobolev inequalities for second order differential operators, Analysis seminar, UNIST, Korea, June 2015
Conference organizing committee
(co-organizer) 2024 Winter School in Harmonic Analysis, February 2 - 6, 2024, Glouceter hotel, Cheongju, Korea
(co-organizer) 2023 Winter School in Harmonic Analysis, January 30 - February 3, 2023, The K-Hotel, Gyeongju, Korea
(co-organizer) 4th KIAS Workshop in Harmonic Analysis, December 26 - 27, 2019, KIAS, Seoul, Korea
Honors and grants
National Research Foundation (NRF) of Korea grant funded by the Korea government : Sharp estimates for spectral projections on the sphere and torus, June 2023 - present
National Research Foundation (NRF) of Korea grant funded by the Korea government : Research on spectral projection, resolvent estimate, and inverse problem based on harmonic analysis, June 2020 - August 2023
S-Oil Excellent Thesis Awards in Mathematics, Korean Academy of Science and Technology, December 2019
Scholarship for Next Generation of Researchers in Basic Fields, Seoul National University, March 2017 - February 2019
Award for Outstanding Teaching Assistant, Seoul National University, February 2012, February 2013