(Last Updated: 08.30.24.)

• Address

  - 32321, College of Natural Science 2 Building, Changwon National University,
  20 Changwondaehak-ro, Uichang-gu, Changwon-si, Gyeongsangnam-do, 51140,
  Republic of Korea

• e-mail

  - (Work) jjycjn [at] changwon [dot] ac [dot] kr

  - (Personal) jjycjn [at] gmail [dot] com

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• Optimization

  - Certain optimization problems over symmetric cone

  - Various commutation principles and its applications

• Euclidean Jordan algebras

  - Properties of spectral sets and functions on Euclidean Jordan algebras

  - Analysis on spectral cones via majorization and algebra automorphisms

  - Majorization and weak majorization inequalities over Euclidean Jordan algebras

• Machine Learning and Trend Filtering

  - Elastic trend filtering method and its applications

  - Trend filtering by adaptive piecewise polynomials or splines

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• Assistant Professor

  - Department of Mathematics, Changwon National University, South Korea

  - September 2023 ~ Present

• Senior Researcher

  - Applied Algebra and Optimization Research Center, Sungkyunkwan University, South Korea

  - March 2022 ~ August 2023

• Postdoctoral Researcher

  - Applied Algebra and Optimization Research Center, Sungkyunkwan University, South Korea

  - March 2019 ~ February 2022

• Lecturer

  - Dept. of Mathematics and Statistics, University of Maryland Baltimore County, United States

  - July 2017 ~ January 2019

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• Doctor of Philosophy in Applied Mathematics

  - University of Maryland Baltimore County

  - Supervisor: Muddappa S. Gowda

  - Thesis Title: Spectral sets and functions on Euclidean Jordan algegras

• Bachelor of Science in Mathematics

  - Soongsil University, South Korea

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Submitted

1. Geometric commutation principle for weakly spectral sets in Euclidean Jordan algebras

   - Submitted (2024.09)

   - ArXiv: https://arxiv.org/abs/2409.04712

2. Commutation principles for nonsmooth variational problems on Euclidean Jordan algebras

   - (with D. Sossa) Submitted (2024.03)

   - ArXiv: https://arxiv.org/abs/2403.09578

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Published

1. Transfer principles, Fenchel conjugate and subdifferential formulas in Fan-Theobald-von Neumann systems

   - (with M.S. Gowda) Journal of Optimization Theory and Applications, 202 (2024), 1242–1267

   - DOI : https://doi.org/10.1007/s10957-024-02474-7

2. The Schatten $p$-quasinorm on Euclidean Jordan algebras

   - AIMS Mathematics, 9 (2024), 5028-5037

   - DOI: https://doi.org/10.3934/math.2024244

3. Commutativity, majorization, and reduction in Fan-Theobald-von Neumann systems

   - (with M.S. Gowda) Results in Mathematics, 78 (2023) 72

   - DOI: https://doi.org/10.1007/s00025-023-01845-2

4. An asymmetric Lyapunov-Krasovskii functional approach for event-triggered consensus of multi-agent systems with deception attacks

   - (with P. Arumugam, Y. Lim) Applied Mathematics and Computation, 439 (2023) 127584

   - DOI: https://doi.org/10.1016/j.amc.2022.127584

5. Trend Filtering by Adaptive Piecewise Polynomials

   - (with S.H. Kim, Y.M. Jung, and S. Yoon) Communications in Nonlinear Science and
   Numerical Simulation, 116 (2023) 106866

   - DOI: https://doi.org/10.1016/j.cnsns.2022.106866

6. Hybrid-Triggered H∞ Control for Parabolic PDE Systems Under Deception Attacks

   - (with P. Arumugam, Y. Lim) IEEE Access, 10 (2022) 80289-80299

   - DOI: https://doi.org/10.1109/ACCESS.2022.3194114

7. Hadamard product and related inequalities in the Jordan spin algebra

   - (with S. Kum and Y. Lim) Linear and Multilinear Algebra, 71 (2023) 2049-2065

   - DOI: https://doi.org/10.1080/03081087.2022.2093319

8. Elastic trend filtering

   - (with Y.M. Jung and S. Yoon) International Journal of Nonlinear Sciences and Numerical
   Simulation, 24 (2023) 939-949

   - DOI: https://doi.org/10.1515/ijnsns-2021-0237

9. A pointwise weak majorization inequality for linear maps over Euclidean Jordan algebras

   - (with M.S. Gowda) Linear and Multilinear Algebra, 70 (2023) 4157-4176

   - DOI: https://doi.org/10.1080/03081087.2020.1870096

10. Some log and weak majorization inequalities in Euclidean Jordan algebras

    - (with J. Tao and M.S. Gowda) Linear and Multilinear Algebra, 70 (2022) 3189-3206

    - DOI: https://doi.org/10.1080/03081087.2020.1830020

11. Weak majorization, doubly substochastic maps, and some related inequalities in Euclidean Jordan algebras

    - (with Y.M. Jung and Y. Lim) Linear Algebra and Its Applications, 597 (2020) 133-154

    - DOI: https://doi.org/10.1016/j.laa.2020.03.028

12. On the connectedness of spectral sets and irreducibility of spectral cones in Euclidean Jordan algebras

    - (with M.S. Gowda) Linear Algebra and Its Applications, 559 (2018) 181-193

    - DOI: https://doi.org/10.1016/j.laa.2018.09.006

13. Permutation invariant proper polyhedral cones and their Lyapunov rank

    - (with M.S. Gowda) Journal of Mathematical Analysis and Applications, 463 (2018) 377-385

    - DOI: https://doi.org/10.1016/j.jmaa.2018.03.024

14. Commutation principles in Euclidean Jordan algebras and normal decomposition systems

    - (with M.S. Gowda) SIAM Journal on Optimization, 27 (2017), 1390-1402

    - DOI: https://doi.org/10.1137/16M1071006

15. Spectral Sets and Functions in Euclidean Jordan Algebras

    - (with M.S. Gowda) Linear Algebra and its Applications, 518 (2017) 31-56

    - DOI: https://doi.org/10.1016/j.laa.2016.12.020

16. Spectral Cones in Euclidean Jordan Algebras

    - (with M.S. Gowda) Linear Algebra and its Applications, 509 (2016) 286-305

    - DOI: https://doi.org/10.1016/j.laa.2016.08.004

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• Fall 2024

  - Linear Algebra 2 (Mon 09:00-10:30, Wed 10:30-12:00)

  - Numerical Analysis 1 (Mon 10:30-12:00, Wed 09:00-10:30)

  - Topics in Applied Mathematics (Tue 09:00-10:30, Thu 10:30-12:00)

  - Big Data Analysis (Tue 10:30-12:00, Thu 09:00-10:30)

• Spring 2024

  - Linear Algebra 1 (Tue 13:30-15:00, Thu 12:00-13:30)

  - Discrete Mathematics (Tue 10:30-12:00, Thu 09:00-10:30)

  - Numerical Analysis 2 (Mon 13:30-15:00, Wed 12:00-13:30)

  - Calculus 1 (Mon 10:30-12:00, Wed 09:00-10:30)

• Fall 2023

  - Numerical Analysis 1 (Mon 13:30-15:00, Wed 12:00-13:30)

  - Discrete Mathematics (Tue 13:30-15:00, Thu 12:00-13:30)

  - Big Data Analysis (Mon 10:30-12:00, Wed 09:00-10:30)

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