Jann-Long Chern (陳建隆)

Professor of Department of Mathematics, National Taiwan Normal University, Taiwan

Tel：(02)7749-6614
Fax：(02)2933-2342
Office：Room M204, Math Building
Email：chern@gapps.ntnu.edu.tw
Research interests： My research interests are mainly focusing on Partial Differential Equations,
                                 Mathematical Physics, Matrix Computations and Mathematical
                                 problems in image processing.		  

Experience(重要經歷)

　 1. Professor of Department of Mathematics, National Taiwan Normal University, Taiwan (2021/02~)
2. Chair Professor of Department of Mathematics, National Taiwan Normal University, Taiwan (2022/01~)
3. Grant Panel Chair of Mathematics and Science, Ministry of Education (MOE) of Taiwan, Teaching Practice Research Program (2022/01 ~ Now)
4. Committee of Chinese Mathematical Society (2020-, 2016-2018, 2012-2015, 2006-2009)
5. Review Committee Member, Mathematics Research Promotion Center (MRPC) of Ministry of Science and Technology(MOST) of Taiwan, (2020-2021)
6. Chairman of Department of Mathematics, National Central University, Taiwan (2012/08-2015/07)
7. Chairman of Center of Mathematics and Theoretical Physics, National Central University, Taiwan (2012/08-2015/07)
8. Grant Panel Member of Ministry of Science and Technology (MOST)(2012/01-2014/12)
9. Center Scientists of National Center for Theoretical Sciences(NCTS), Taiwan (2011/08-2012/07)
10. Program Committee and Execute Committee of NCTS, Taiwan (2011~2012)
11. Equadiff 14, Invited minisymposia organizer and Invited Speaker on "Elliptic Equations and Systems from Gauge Field Theories and Mathematical Physics", Bratislava, Slovakia, July 24-28, 2017
12. Sessions Organizer of "11th AIMS Conference on Dynamical System, Differential Equations and Applications, Orlando, Florida, USA", 2016
13. Visiting Professor of NCTS, Taiwan (2007/08~2008/07)
14. Professor of Central University, Taiwan (2000/08~2021/01)
15. Visiting Professor of Tokyo University, Japan (2000/01)
16. Visiting Professor of Georgia Institute of Technology, USA (1997/08~1998/07)
17. Associated Professor of Central University, Taiwan (1991/08~2000/07)
　

Awards or Honors received 榮譽事蹟

　 1. 2023 Future Tech Award of National Science and Technology Council, Taiwan (with Profs. Chih-Wei Huang, Ching-Cherng Sun) (國科會未來科技獎 2023)
2. Chair Professor of National Taiwan Normal University, Taiwan (2022/01~ )
3. Ministry of Science and Technology Contributed Research Program project, Taiwan (2021/08-2024/07) (科技部特約研究計畫)
4. Outstanding Research Award of Ministry of Science and Technology, Taiwan (2018/08~2021/07) (科技部107學年度傑出研究獎)
5. Distinguished Professorship of National Central University, Taiwan (2010~2021)
6. Outstanding Research Award of Ministry of Science and Technology, Taiwan (2012/08~2015/07) (科技部101學年度傑出研究獎)
7. Center Scientist of National Center for Theoretical Sciences,Taiwan (科技部理論科學研究中心(NCTS)數學組中心科學家, 2011/08-2012/07)


TEACHING 教學

  

2023 NTNU Spring Courses

  • MAC9047 Mathematical Models in Epidemiology (II) (流行病學的數理模型(二))
    syllabus(教學大綱)
    Line Group:2023 NTNU MME

    • 2022 NTNU Fall Courses

    • MAC9046 Mathematical Models in Epidemiology (I) (流行病學的數理模型（一）)
      syllabus(教學大綱)
      Line Group:2022 NTNU MME
      • 2022 Fall_Students Seminar Report
      Students Reports
    • MAU0100 Introduction to Differential Equations (微分方程導論)
      syllabus(教學大綱)
      Line Group: 2022-ODE-微分方程導論

    2022 NTNU Spring Courses

    • MAC9023 Image Processing and Analysis (II) (影像處理與分析（二）)
      syllabus(教學大綱)
      Line Group: NTNU_影像處理與分析二2022
    • MAC0002 Ordinary Differential Equations II (微分方程 II)
      syllabus(教學大綱)
      Line Group: NTNU_微分方程二2022

    2021 NCTS URP Project:

    • Time: October 1, 2020 - June 30, 2021 Mathematical Modelling and Data Prediction in Infectious diseases Spread
      syllabus(教學大綱)

    2021 NTNU Fall Courses

    • MAC9040 Mathematical Models in Epidemiology (流行病學的數理模型)
      syllabus(教學大綱)
      Line Group: NTNU_流行病學的數理模型
    • MA0001 Ordinary Differential Equations I (微分方程 I)
      syllabus(教學大綱)
      Line Group: NTNU_微分方程2021

    2021 NTNU Spring Courses

    • MAC0132-Partial Differential Equations I (偏微分方程 I Graduate Course)
      syllabus(教學大綱)
      Line Group: NTNU PDE
    • MAC9022-Mathematical Image Processing and Analysis I (數學影像處理與分析 I)
      syllabus(教學大綱)
      Line Group: NTNU Image Processing

    2020 NCTS Summer Course: USR Projects:

    2020 Fall Courses

    • MA3111 An Introduction to Mathematical Image Processin (數學影像處理)
      syllabus(教學大綱)
      Line Group: 109-1 影像處理
    • MA6101 Partial Differential Equations I (偏微分方程 I)
      syllabus(教學大綱)
      Line Group: 109-1 偏微分方程

    2020 Spring Courses

    • MA8018-Differential Equations II (微分方程 II Graduate Course)
      syllabus(教學大綱)
      Line Group: COVID-19 ODE
    • MA5104-The Topics of Mathematical Image Processing and Implementations II (數學影像處理的相關理論及實作專題 II)
      syllabus(教學大綱)
      Line Group: Image Processing

    2019 Fall Courses

    2019 Spring Courses

    • MA8018 Differential Equations II (微分方程 II, Graduate Course)
    • MA  Seminar Course (書報討論)

    2018 Fall Courses

    • MA8017 Differential Equations I (微分方程 I, Graduate Course)
    • MA 5101 Variational Methods and Their Applications in Image Processes ( 變分法及其在影像處理的應用)


Publications List for Jann-Long Chern

   研究成果目錄：論文及著述

A. Publications Journals (Selected)

  • Jann-Long Chern, M.Hashizume and G. Huang (2023, Oct). Existence and nonexistence of minimizers for Hardy-Sobolev type inequality with Hardy potentials. Appl. Analysis , DOI: 10.1080/00036811.2023.2268659, Published online: 13 Oct 2023.

  • Jann-Long Chern* and Maria Pia Gualdani (2022, Dec). Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions. Mathematical Research Letters, Volume 29, Number 4, 945–960, 2022.

  • Jann-Long Chern* and E. Yanagida (2021, Oct). Qualitative Analysis of Singular Solutions for Nonlinear Elliptic Equations with Potentials. Mathematische Annalen. , 381 (2021), no. 1-2, 853–874. (SCI).

  • P.-Y. Chen, Y.-H. Zheng, I. Althamary, Jann-Long Chern, and C.-W. Huang (2023, Aug). Multi-Agent Deep Reinforcement Learning for Spectrum Management in V2X with Social Roles (IEEE GLOBECOM). 2023 IEEE Global Communications Conference (GLOBECOM) , 4–8 December 2023, Kuala Lumpur, Malaysia.

  • X. Chen, J. Yu Chen, Y. Lin, C. Huang and Jann-Long Chern (2022, Nov). Lightweight Text Spotting for Interactive User Experience in Mixed Reality. (IEEE, ICCE) . The 41st IEEE International Conference on Consumer Electronics (ICCE 2023) , Las Vegas, NV, USA . IEEE ICCE 2023.

  • Y. Feng, J. Chen, H. Wang, C. Huang, Jann-Long Chern (2022, Oct). LearningBased Gaussian Belief Propagation for Bundle Adjustment in Visual SLAM. (IEEE Global Communications C.) . IEEE Global Communications Conference , Rio de Janeiro, Brazil. IEEE Global Communications C.

  • Jann-Long Chern*, Z. Chen and H. Shen (2021, Mar). Classification of solutions for self-dual Chern–Simons CP(1) model. Journal of Mathematical Physics, J. Math. Phys. 62 (2021), no. 3, Paper No. 031510, 25 pp. https://doi.org/10.1063/5.0022001. The paper is chosen to be promoted as an Editor's Pick, and is displayed on the journal's homepage and is identified with an icon next to the article title.

  • Jann-Long Chern, G. Hwang, J. Takahashi and E. YANAGIDA (2021, Feb). ON THE EVOLUTION EQUATION WITH A DYNAMIC HARDY-TYPE POTENTIAL. Journal of Evolution Equations , 21 (2021), no. 2, 2141–2165.

    • 4. Jann-Long Chern,  M. Hashizume and G. Hwang (2020).  Properties of solutions to semilinear elliptic problem with Hardy potential.  Journal of Differential Equations, V. 269, Issue 2, 5 July, 2020,

        Pages 1432-1464.,  https://doi.org/10.1016/j.jde.2020.01.009,  (SCI) First Author, 

    5. Jann-Long Chern*, S. Yang, Z. Chen and C. Chen, On The Family of  Non-Topological Solutions for The Elliptic System Arising from A Product  Abelian Gauge Field Theory. Discrete & Continuous

        Dynamical Systems-A, June 2020, 40(6), 3291-3304, doi:    10.3934/dcds.2020127(SCI)  First and Corresponding Author.  

    6.  Jann-Long Chern, C. Chen and G. Hwang:. Structure of minimizers  of Cafarelli-Kohn-Nirenberg inequality. Tohoku Mathematical Journal, Vol. 72, No. 4, December, 2020  (SCI)

         008-005-MY3.  First Author. 

    7.  Z.-Y. Chen and  Jann-Long Chern*  (2019). The Analysis of Solutions for  Maxwell-Chern-Simons O(3) Sigma Model.  Calculus of Variations and Partial Differential Equation, 58 (2019), No. 4, Art.

         147, 27 pp. https://doi.org/10.1007/s00526-019-1590-4.       Corresponding Author.  (SCI)

    8.  Y.An, Jann-Long Chern and J. Shi (2018). Uniqueness of Positive Solution To Some Coupled Cooperative Variational Elliptic Systems. Transactions of the American Mathematical Society, 370 (2018),

         no. 7, 5209–5243.  (SCI) 

    9.  Jann-Long Chern, Y. Morita and T. Shieh (2018, Jan). Asymptotic behavior of equilibrium states of reaction-diffusion systems with mass conservation. Journal of Differential Equations, 264(2018)

         550–574.  (SCI)  First Author.

    10.  Y. Yu,  T. Wang,  C. Lau,  J. Wang;  T. Yang,  Jann-Long Chern;and C. Sun,  Repairing IR depth image with 2D RGB image,Proceedings Volume 10745, Current Developments in Lens Design and Optical

          Engineering XIX;  1074505 (2018)  (SCI)  https://doi.org/10.1117/12.2321205.

    11. S. Yang, Z. Chen and Jann-Long Chern (2017, Jul). The Solutions Structure of the $O(3)$ sigma model in a Maxwell-Chern-Simons Theory. Journal of Mathematical Physics, Vol.58, Issue 7, 071503

          (2017),(SCI)  DOI: 10.1063/1.4994060.  Corresponding Author.

    12. Jann-Long Chern and E. Yanagida. Singular solutions of the scalar field equation with a critical exponent.. Geometric properties for parabolic and elliptic PDE's, 277–288, Springer Proc. Math.

          Stat., 176, Springer, [Cham], 2016. (ISBN: 978-3-319-41536-9). Springer International Publishing Switzerland 2016: Springer Chan. Aug, 2016: 277–288 (PROMS, volume 176).  First

          and Corresponding Author.   

    13.  Jann-Long Chern*, S. Yotsutani, N. Kawano,  A Note on the Uniqueness and Structure of Solutions to the Dirichlet Problem for Some Elliptic Systems.. Proceedings of Equadiff, Bratislava,

          SPEKTRUM STU Publishing. (ISBN: 978‐ 80 227 4757 8). Slovak : SPEKTRUM STU Publishing. Dec, 2017: pp. 283-286.   First and Corresponding Author.

    14. Z. Chen and Jann-Long Chern*, Topological Multivortex Solutions for Chern-Simons Model with Two Higgs Particles. Communications in Partial Differential Equations 41 (2016), no. 4, 705–

          731.  Corresponding Author.(SCI)

    15. Jann-Long Chern*, Z. Chen and S. Yang, A Classification of Semilocal Vortices in a Chern-Simons Theory. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 2, 575–595.  First and 

          Corresponding Author.  (SCI)

    16. Z. Chen and Jann-Long Chern*,  Uniqueness of Topological Multivortex Solutions in the Maxwell-Chern-Simons Model. Journal of Functional Analysis, 270 (2016), no. 6, pp. 2073-2125 (53

          Pages).  Corresponding Author.  (SCI)

    17. Jann-long Chern* and S. Yang, Uniqueness of topological vortex in a self-dual Maxwell-Chern-Simons-Higgs system. Indiana University Mathematics Journal, 64, No. 6 (2015), 1747–1766.  First

          and Corresponding Author.  (SCI) 

    18. Jann-Long Chern* and S. Yang, A survey of solutions in a gravitational Born-Infeld theory. Journal of Mathematical Physics, 55 (2014), no. 3, 031501, 24 pp.  First and Corresponding Author.  

          (SCI)

    19. Jann-Long Chern* and S. Yang, The Non-topological Fluxes of a Two-particle System in the Chern-Simons Theory . Journal of  Differential Equations 256 (2014), no. 10, 3417–3439.  First and

          Corresponding Author.  (SCI)

    20. Y. Wu,Z. Chen, Jann-Long Chern and Y. Kabeya, Existence and Uniqueness of Singular Solutions for Elliptic Equation on the Hyperbolic Space. Communications on Pure and Applied Analysis, 13

          (2014), no. 2, 949–960.  Corresponding Author.(SCI)

    21. Jann-Long Chern* and S. Yang, Evaluating solutions on an elliptic problem in a gravitational gauge field theory. Journal of Functional Analysis, 265 (2013), no. 7, 1240–1263.  First and

          Corresponding Author.  (SCI) 

    22. Jann-Long Chern*, Y. Tang, C. Chyan and Y. Chen, On the Uniqueness of Singular Solutions for a Hardy-Sobolev Equation. Discrete and Continuous Dynamical Systems, 2013, Dynamical systems,

          differential equations and applications. 9th AIMS Conference. Suppl., 123–128.  First and Corresponding Author.

    23. Jann-Long Chern*, Z. Chen and Y. Tang, Structure of Solutions to a Singular Liouville System Arising from Modeling Dissipative stationary Plasmas. Discrete and Continuous Dynamical System -A, 33

          (6), 2013, 2299-2318.  First and Corresponding Author.  (SCI)

    24. Jann-Long Chern, Z. Chen* and Y. Tang, On the Solutions to a Liouville-type System Involving Singularity. Calculus of Variations and Partial Differential Equation, 43 (2012), 53-81.  First

          Author.  (SCI)

    25. Jann-Long Chern*, Z. Chen and Y. Tang, Uniqueness of Finite Total Curvatures and Structure of Radial Solutions for Nonlinear Elliptic Equations. Transactions of the American Mathematical Society,

          363 (2011), 3211-3231.  First and Corresponding Author.  (SCI)

    26. Jann-Long Chern, C.-S. Lin, J. Shi and Y. Tang*, Existence, uniqueness and stability of positive solution to sublinear elliptic systems. Proceedings of the Royal Society of Edinburgh Section A 141

          (2011), no. 1, 45-64,  First and Corresponding Author.  (SCI)

    27. Jann-Long Chern*, Z. Chen, J. Shi and Y. Tang, On the Uniqueness and Structure of Solutions to a Coupled Elliptic System, Journal of Differential Equations, 249 (2010), 3419-3442.  First and

          Corresponding Author.  (SCI).

    28. Z. Chen, Jann-Long Chern and Y. Tang*, Erratum to " ;On the Classification of Standing Wave Solutions for the Schrodinger Equation" ;, Vol. 35, 275-301. Communications in Partial Differential

          Equations, 35 (2010)，P.1920-P.1921. (SCI).

    29. Jann-Long Chern and C.-S. Lin, Minimizers of Caffarelli-Kohn-Nirenberg inequalities with singularity on the boundary, Archive for Rational Mechanics and Analysis, 197 (2010), 401-432.  First

          Author.  (SCI).

    30. Jann-Long Chern*, C.-S. Lin and Z. Chen, Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles. Communications in Mathematical

          Physics, Vol.296 (2010),P.323-P.351.First and Corresponding Author.  (SCI).

    31. Jann-Long Chern*, Z. Chen, J. Chen and Y. Tang, On the Classification of Standing Wave Solutions for the Schrodinger Equation, Communications in Partial Differential Equations, 35 (2010), no.

          2, 275–301.  First and Corresponding Author.(SCI)

    32. Jann-Long Chern*, Z. Chen and Y. Tang, Uniqueness and structure of Solutions to the Derichlet Problem for an Elliptic System, Journal of Differential Equations 246 (2009), 3704-3714. (SCI)

    33.  Jann-Long Chern, Z. Chen and Y. Tang, The Structure of Radial Solutions for Elliptic Equations from the Spherical Onsager Vortex, Tohoku of Mathematical Journal 61 (2009), 287-307.  First and

           Corresponding Author.  (SCI)

    34.  Jann-Long Chern* and E. Yanagida, Structure of Set of Regular and Singular Radial Solutions for a Semilinear Elliptic Equation, Journal of Differential Equations 224 (2006), Issue 2, 440-

          463.  First and Corresponding Author.  (SCI)

    35. Jann-Long Chern* & S. Yang, On the applications from the divergence-type identity in punctured domain, Recent advances in elliptic and parabolic problems, W. Sci. Pub., Hac. NJ, 2005, 35-

          39.  First and Corresponding Author.

    36.  Jann-Long Chern* & S. Yang, A divergence-type identity in punctured domain and its application to singular polyharmonic problem, Journal of Dynamics and Differential Equations 16 (2004), No.

           3, 587-604.  First and Corresponding Author.  (SCI)

    37.  Jann-Long Chern & C. Lin, The Symmetry of Least-Energy Solutions for Semilinear Elliptic Equations,   Journal of Differential Equations 187(2003), No. 2, 240-268.  First Author.  (SCI)

    38.  Jann-Long Chern and D. Luca, Smoothness and Periodicity of Some Matrix Decompositions, SIAM J. Matrix Anal. Appl. 22 (2000), no. 3, 772–792.  First Author.  (SCI)

    39.  Jann-Long Chern*, On the Blow-Up and Positive Entire Solutions of Semilinear Elliptic Equations, P. Edinburgh Math. Society (2000) 43, 625-631.  First and Corresponding Author.  (SCI)

    40.  Jann-Long Chern* and Y. Tang, On the Semilinear Elliptic Equations $\triangle u+{\beta\over{(1+|x|)^\mu}u^p-{\gamma\over{(1+|x|)^\nu}u^q=0$ in $R^n$, Journal Math. Anal. Appl. 244, 27-

           38 (2000).  First and Corresponding Author.  (SCI)

    41.  Jann-Long Chern* and S. Huang, The Asymptotic Stability of Some Integrodifferential Equations, Bull. K. Math. Soc. 37 (2000), No. 2, pp. 273-283.  First and Corresponding Author.  (SCI)

    42.  Jann-Long Chern* and S.-Z. Huang, The Global Stability in Delay Equation Models of Hamematopoiesis, P. Natl. Sci. Counc. A: Phys. Sci. Engin. Vol. 24, No 4 (2000) pp. 293-300.  First and

           Corresponding Author.

    43.  Jann-Long Chern* and D. Luca, Smooth and periodicity of some matrix decompositions, Center for Dynamical System & Nonlinear Studies, GA Tech, Report CDSNS 99324. (1999)  First and

           Corresponding Author.

    44.  Jann-Long Chern*, On the Solution Structures of the Semilinear Elliptic equations on R n , Nonlinear Anal. TM & A, 28.(1997), pp.1741-1750.  First and Corresponding Author.  (SCI)

    45.  Jann-Long Chern*, Existence ans Asymptotic Behavior of Singular Solutions of Quasilinear Elliptic Equations in R n, Taiwanese Journal of Math., 1(1997), pp.195-207.  First and Corresponding

           Author.  (SCI)

    46.  Jann-Long Chern* and S.Yang, The Limit Sets of Dynamical Systems on Spheres, Nonlinear Anal. TM & A, 26 (1996), pp.1565-1572.  First and Corresponding Author.  (SCI)

    47.  Jann-Long Chern, W. Lian and C. Yeh, Oscillation criteria for 2nd order half-linear differential equations with functional arguments, Publicat. Math., 48(1996), pp.209-216.  First Author.  (SCI)

    48.  Jann-Long Chern*, Positive Radial Solutions for △μ+lxl m K(x)u p = 0 in  R n, P. N.-P. A: Phys.Sci. and Engin., 17 (1993), pp.449-459.  First and Corresponding Author.

    49.  Jann-Long Chern* and K. Cheng, Conformal Metrices with Prescribed Curture on S n , Journal of Differential Equations, 106 (1993), pp.155-185.  First and Corresponding Author.  (SCI)

    50.  Jann-Long Chern* and K. Cheng, Existence of Positive Entire Solutions of Some Semilinear Elliptic Equations, Journal of Differential Equations, 98 (1992), pp.169-181.  First and Corresponding

           Author.  (SCI)

    B.  Awards or Honors received

    1. Outstanding Research Award of Ministry of Science and Technology, Taiwan (2018/08 ~ 2021/07)(科技部107學年度傑出研究獎)
    2. Outstanding Research Award of Ministry of Science and Technology, Taiwan (2012/08 ~ 2015/07)(科技部101學年度傑出研究獎)
    3. 2019/01~2021/12 Distinguished Professorship of National Central University, Taiwan (中央大學特聘教授)
    4. 2016/01~2018/12 Distinguished Professorship of National Central University, Taiwan (中央大學特聘教授)
    5. 2013/01~2015/12 Distinguished Professorship of National Central University, Taiwan (中央大學特聘教授)
    6. 2010/01~2012/12 Distinguished Professorship of National Central University, Taiwan (中央大學特聘教授)
    7. 2011/08-2012/07 Center Scientist of National Center for Theoretical Sciences, Taiwan (國科會理論科學研究中心(NCTS)數學組中心科學家)
    8. Award for Publication in Top Journal, College of Science, National Central University, Taiwan (2010~Now).

    C. Funded Research Projects

    1. Singular Points Set Effects in Elliptic Equations with Sobolev Exponent and Parabolic Evolutions Models (3 Years, 1/3, 2/3, 3/3), 科技部研究計畫, MOST 107-2115-M-***-***-MY3, 2018/08-2021/07.
    2. Mathematical Image Processing and Implementation (數學影處理的相關理論及實作), Ministry of Education Teaching Research Projec (教育部教學研究計畫),PMS108****, 2019/08 ~ 2020/07.
    3. Combining Theory and Project-Based Learning for Digital Image Processing (結合理論與專題實作之數位影像處理課程), Ministry of Education Teaching Research Projec (教育部教學研究計畫), PMS109****, 2020/08 ~ 2021/07.
    4. Research and practical application of geometric figure algorithm (幾何圖形演算法之研究與實務應用), Industry-University Cooperation Research Project (產學合作計畫),2019/02 ~ 2020/08.
    5. 傅立葉神經網路結合ResNet架構之研究 (科技部大專生研究計畫_林柏全),109-2813-C-***-***-M,2020.07.01-2021.02.28
    6. 基於頻譜與機器學習之聲紋分析及音訊強化 (科技部大專生研究計畫_林育愷),108-2813-C-***-***-M, 2019.07.01-2020.02.29
    7. Ministry of Science and Technology Price Creation Project (科技部價創計畫)：Smart Home Care Technology-Active 3D Indoor Scanning, Positioning and Navigation System (智慧居家照護技術-主動式3D室內掃描、定位與導航系統), 106-3***-8-***-**1-, 2017/05-2018/04.
    8. On the Topics of Maxwell-Chern-Simons's Models and The product Abelian Higgs model in a gauge field theory (3 years, 1/3, 2/3, 3/3), 科技部研究計畫, 2015/08-2018/07.
    9. On the Nonlinear Analysis of Chern-Simons-Higgs Models and Related Elliptic Systems (3 years, 1/3, 2/3, 3/3), 科技部研究計畫, MOST 2012/08-2015/07.
    10. On the minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary (2 years, 1/2, 2/2), MOST 2010/08-2012/07.
    11. On the Topological and Non-Topological Multi-Vortex Solutions to the Self-Dual Chern-Simons-Higgs System, MOST 2009
    12. On the Uniqueness and Solution Structure of Hamiltonian Elliptic System and Related Topics, MOST 2008.
    13. Research on the structure of multi-vortex solution of self-dual Chern-Simons-Higgs partial differential equation system and related topics (有關自我雙重Chern-Simons-Higgs 偏微分方程系統其多漩渦解結構及相關主題之研究), (2 years, 1/2, 2/2), MOST 2006/08-2008/07.
    14. 95-2115-M-008-***-MY2 (2 years, 1/2, 2/2), 94-2115-M-008-***-,
      93-2115-M-008-***-, 92-2115-M-008-***-, 91-2115-M-008-***-,
      90-2115-M-008-***-, 89-2115-M-008-***-

    D. 指導碩博士畢業學生

    (a) 畢業博士生:陳志有博士受聘於國立彰化師範大學專任助理教授、唐永立博士受聘於逢甲大學專任助理教授、楊世光博士受聘於科技部助理研究學者(3 Years)、吳彥霖博士受聘於『財團法人保險事業發展中心專員』、陳志和博士受聘於復旦高中。

    (b) 指導的博士後 Dr. Gyeongha Huang 受聘於 Yeungnam University, Korea 的專任助理教授

    (b) 畢業碩士生:王統新受聘於台北市立建國中學專任教師、連瑜君受聘高雄女中專任教師、鍾逸偉受聘於基隆女中專任教師、黃淑珠受聘陸軍專科學校講師等等。

    E.  Academic Services and Organizer of International Conferences (Selected)

    1. Associate Editors of TAIWANESE JOURNAL OF MATHEMATICS (2017 ~ 2020/07)
    2. Advisory Committee Member of Ministry of Science and Technology (MOST) (2017 ~ )
    3. Grant Panel Mamber of Mathematics Research Promotion Center (MOST) (2019 ~ Now)
    4. 13TH AIMS Conference on DCDSA, June 5-9, 2020, Atlanta, USA, Invited Session Organizer and Speaker.
    5. 11TH Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics, Feb.27-March 01, 2020, Dong-Hai U, Taiwan.
    6. 2019 NCTS Workshop on Scientific Computing and Machine Learning, Dec. 28, 2019, One of Organizers, 2019.
    7. Interdisciplinary Workshop and Discussions on Data and Image Sciences, NCU, Taiwan, August. 9, 2019
    8. 10TH Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics, February 27 – March 1,2019, Ryukoku University (Seta Campus), Japan.
    9. Interplay of Data Science and Numerical PDEs, Venue R202, Astro-Math Budg, NCTS, 2018.12.25.
    10. Interdisciplinary Workshop on Data and Image Science, NCU, Taiwan, August 15, 2018.
    11. Equadiff 14, Invited minisymposia organizer and Invited Speaker on " ;Elliptic Equations and Systems from Gauge Field Theories and Mathematical Physics" ;, Bratislava, Slovakia, July 24-28, 2017
    12. 12TH AIMS Conference on DCDSA, July 7-9, 2018, Taipei, Taiwan, Invited Session Organizer and Speaker.
    13. 9TH Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics, March 03-05, 2018, Ger-Gyh, College of Science, NCKU, Taiwan.
    14. 8TH Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics, March 9-12, 2017, Hiroshima University, Japan.
    15. The 7th Pacific RIM Conference on Mathematics 2016, Invited speaker on "Qualitative properties of solutions of nonlinear PDEss", NSU, Seoul, Korea, June 27–July 1, 2016.
    16. Workshop on recent development in reaction-diffusion equations, February 26, 2016, Organizer and Invited Speakerm NCTS, Taiwan.
    17. The 7th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics February 27~29, 2016, Organizer.
    18. Workshop on recent development in reaction-diffusion equations, February 26, 2016, Organizer and Invited Speakerm NCTS, Taiwan.
    19. 2016, July 1-July 5, Sessions Organizer of "The 11th AIMS Conference on Dynamical System, Differential Equations and Applications, Orlando, Florida, USA"
    20. 2012/01-2013/12 Grant Panel Member of Ministry of Science and Technology(MOST) (科技部自然司數學學門審議委員2012/01-2013/12)
    21. 2nd Applied Mathematics Workshop of NCU-CityU, NCU, Taiwan, 2015/11/13-2015/11/14.(Organizer)
    22. 2012/08~2015/07 Chairman of Department of Mathematics, National Central University, Taiwan
    23. 2012/08~ 2015/07 Chairman of Center of Mathematics and Theoretical Physics, National Central University, Taiwan
    24. 2010-2016, One of the Organizers of ｢The 1 st-7th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics｣, Once of a year between Taiwan and Japan.
    25. 2012-2015 Committee, Researching Committee of Chinese Mathematical Society.
    26. 2014-2015 Scientific Committee, Annual Meeting of the Mathematical Society, Taiwan,
    27. 2014, July 7-11, Sessions Organizer of " ;The 10th AIMS Conference on DSAE& A, Madrid, Spain" ;
    28. 2012 July 1-5, Session Organizer of " ;9th AIMS Conference, Orlando, Florida, USA" ;
    29. Jann-Long Chern, One of Organizers of the "2012 NCTS (Taiwan) - POSTECH (Korea) Joint Workshop on Par