### Professor of Department of Mathematics, National Central University, Taiwan

Tel¡G(03)422-7151 # 65126
Fax¡G(03)425-7379
Office¡GRoom 312, Hong-Gin Building
Email¡Gchern@math.ncu.edu.tw
Research interests¡G My research interests are mainly focusing on Partial Differential Equations,
Mathematical Physics, Matrix Computations and Mathematical
problems in image processing.

## Experience(­«­n¸g¾ú)

¡@ 1. Advisory Committee Member of Ministry of Science and Technology(MOST) (2017~)
2. Chairman of Department of Mathematics, National Central University (2012/08-2015/07)
3. Chairman of Center of Mathematics and Theoretical Physics, National Central University, Taiwan (2012/08-2015/07)
4. Distinguished Professor of National Central University, Taiwan (2010~)
5. Grant Panel Member of Ministry of Science and Technology(MOST)  (2012/01-2014/12)
6. Committee and Researching Committee of Chinese Mathematical Society (2012-2015,2016-2018)
7. Center Scientists of National Center for Theoretical Sciences(NCTS), Taiwan(2011/08-2012/07)
8. Program Committee and Execute Committee of NCTS, Taiwan(2011~2012)
9. 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
10. Sessions Organizer of "11th AIMS Conference on Dynamical System, Differential Equations and Applications, Orlando, Florida, USA", 2016
11. The 7th Pacific RIM Conference on Mathematics 2016, Invited speaker on ¡¨Qualitative properties of solutions of nonlinear PDEss¡¨, NSU, Seoul, Korea, June 27 ¡VJuly 1, 2016.
12. Workshop on recent development in reaction-diffusion equations, February 26, 2016, Organizer and Invited Speakerm NCTS, Taiwan.
13. The 7th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics February 27~29, 2016, Organizer.
14. Workshop on recent development in reaction-diffusion equations, February 26, 2016, Organizer and Invited Speakerm NCTS, Taiwan.
15. Sessions Organizer of "10th AIMS Conference on Dynamical System, Differential Equations and Applications, Madrid, Spain", 2014
16. Session Organizer of "9th AIMS Conference on Dynamical System, Differential Equations and Applications, Orlando, Florida, USA", 2012
17. Visiting Professor of NCTS, Taiwan (2007/08~2008/07)
18. Committee of Chinese Mathematical Society(2006~2009)
19. Professor of Central University, Taiwan(2000/08~ )
20. Visiting Professor of Tokyo University, Japan(2000/01)
21. Visiting Professor of Georgia Institute of Technology, USA(1997/08~1998/07)
22. Associated Professor of Central University, Taiwan (1991/08~2000/07)

¡@

¡@ 1.Outstanding Research Award of Ministry of Science and Technology, Taiwan(2012/08~2015/07)(¬ì§Þ³¡101¾Ç¦~«×³Ç¥X¬ã¨s¼ú)
2.2016/01~2018/12 Distinguished Professorship of National Central University,Taiwan(¤¤¥¡¤j¾Ç¯S¸u±Ð±Â¤@¯Å)
3.2013/01~2015/12 Distinguished Professorship of National Central University,Taiwan(¤¤¥¡¤j¾Ç¯S¸u±Ð±Â¤@¯Å)
4.2010/01~2012/12 Distinguished Professorship of National Central University,Taiwan(¤¤¥¡¤j¾Ç¯S¸u±Ð±Â)
5.2011/08-2012/07 Center Scientist of National Center for Theoretical Sciences,Taiwan(¬ì§Þ³¡²z½×¬ì¾Ç¬ã¨s¤¤¤ß(NCTS)¼Æ¾Ç²Õ¤¤¤ß¬ì¾Ç®a)
6.Award for Publication in Top Journal, College of Science, National Central University, Taiwan (2010~2014).
7.Research Award, National Science Council, Taiwan (1992~2015).

## TEACHING ±Ð¾Ç

### Fall 2015 Courses

• MA8017 Differential Equations II (·L¤À¤èµ{)

### Spring 2014 Courses

• MA8017 Differential Equations ¢¹(·L¤À¤èµ{)
• ODES midterm exam
• ODEs final exam

## Publications List for Jann-Long Chern

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A. Publications Journals (Selected)

1. Y. An, Jann-Long Chern and J. Shi (2018, Jul). Uniqueness of Positive Solution To Some Coupled Cooperative Variational Elliptic Systems. Transactions of the American Mathematical Society, 370 (2018), no. 7, 5209¡V5243. MOST 104-2115-M-008-010-MY3.

2. 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¡V574. MOST 104-2115-M-008-010-MY3. ¥»¤H¬°²Ä¤@§@ªÌ.

3. 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), DOI: 10.1063/1.4994060. MOST 104-2115-M-008-010-MY3. ¥»¤H¬°³q°T§@ªÌ.

4.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¡V288, Springer Proc. Math. Stat., 176, Springer, [Cham], 2016. (ISBN: 978-3-319-41536-9). Springer International Publishing Switzerland 2016: Springer Chan. Aug, 2016: 277¡V288 (PROMS, volume 176). MOST 104-2115-M-008-010-MY3.

5. Jann-Long Chern*, S. Yotsutani, N. Kawano (2017, Dec). A Note on the Uniqueness and Structure of Solutions to the Dirichlet Problem for Some Elliptic Systems. Equadiff 2017, Bratislava, Slovakia, July 24-28, 2017 , Bratislava, Slovakia, July 24-28, 2017. MOST 104-2115-M-008-010-MY3. ¥»¤H¬°²Ä¤@§@ªÌ¡B³q°T§@ªÌ

6. Chen and Jann-Long Chern*, Topological Multivortex Solutions for Chern-Simons Model with Two Higgs Particles. Communications in Partial Differential Equations 705¡V731. (SCI)

7. Jann-Long Chern*, Z. Chen and S. Yang, A Classification of Semilocal Vortices in a Chern-Simons Theory. 575¡V595. (SCI)

8.  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).(SCI)

9. 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¡V1766. (SCI)

10. Jann-Long Chern* and S. Yang, A survey of solutions in a gravitational Born-Infeld theory. , 031501, 24 pp. (SCI)

11. Jann-Long Chern* and S. Yang, The Non-topological Fluxes of a Two-particle System in the Chern-Simons Theory . 3417¡V3439. (SCI)

12. 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, 949¡V960. (SCI)

13. 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¡V1263. (SCI)

14. 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, 123¡V128.

15. 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. (SCI)

16. 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. (SCI)

17. 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. (SCI)

18. 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, (SCI)

19. 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. (SCI).

20. 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)¡AP.1920-P.1921. (SCI).

21. 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. (SCI).

22. 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. (SCI).

23. 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, 275¡V301. (SCI)

24. 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)

25.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. (SCI)

26.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.  (SCI)

27. 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.

28.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. (SCI)

29.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. (SCI)

30.Jann-Long Chern and D. Luca, Smoothness and Periodicity of Some Matrix Decompositions, 772¡V792. (SCI)

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

32.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). (SCI)

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

34.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.

35.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)

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

37.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. (SCI)

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

39.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. (SCI)

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

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

42.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. (SCI)

1. Outstanding Research Award of National Science Council, Taiwan (2012/08~2015/07)  (°ê¬ì·|101¾Ç¦~«×³Ç¥X¬ã¨s¼ú)
2. 2016/01~2018/12 Distinguished Professorship of National Central University, Taiwan (¤¤¥¡¤j¾Ç¯S¸u±Ð±Â)
3. 2013/01~2015/12 Distinguished Professorship of National Central University, Taiwan (¤¤¥¡¤j¾Ç¯S¸u±Ð±Â)
4. 2010/01~2012/12 Distinguished Professorship of National Central University, Taiwan (¤¤¥¡¤j¾Ç¯S¸u±Ð±Â)
5. 2011/08-2012/07 Center Scientist of National Center for Theoretical Sciences, Taiwan (°ê¬ì·|²z½×¬ì¾Ç¬ã¨s¤¤¤ß(NCTS)¼Æ¾Ç²Õ¤¤¤ß¬ì¾Ç®a)
6. Award for Publication in Top Journal, College of Science, National Central University, Taiwan (2010~2014).

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

1. Associate Editors of TAIWANESE JOURNAL OF MATHEMATICS (2017/08~)
2. Advisory Committee Member of Ministry of Science and Technology(MOST) (2017~)
3. 10TH Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics, February 27 ¡V March 1,2019, Ryukoku University (Seta Campus), Japan.
4. Interplay of Data Science and Numerical PDEs, Venue R202, Astro-Math Budg, NCTS, 2018.12.25.
5. Interdisciplinary Workshop on Data and Image Science, NCU, Taiwan, August 15, 2018.
6. 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
7. 12TH AIMS Conference on DCDSA, July 7-9, 2018, Taipei, Taiwan, Invited Session Organizer and Speaker.
8. 9TH Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics, March 03-05, 2018, Ger-Gyh, College of Science, NCKU, Taiwan.
9. 8TH Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics, March 9-12, 2017, Hiroshima University, Japan.
10. The 7th Pacific RIM Conference on Mathematics 2016, Invited speaker on ¡¨Qualitative properties of solutions of nonlinear PDEss¡¨, NSU, Seoul, Korea, June 27¡VJuly 1, 2016.
11. Workshop on recent development in reaction-diffusion equations, February 26, 2016, Organizer and Invited Speakerm NCTS, Taiwan.
12. The 7th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics February 27~29, 2016, Organizer.
13. Workshop on recent development in reaction-diffusion equations, February 26, 2016, Organizer and Invited Speakerm NCTS, Taiwan.
14. 2016, July 1-July 5, Sessions Organizer of ¡§The 11th AIMS Conference on Dynamical System, Differential Equations and Applications, Orlando, Florida, USA¡¨
15. 2012/01-2014/12 Grant Panel Member of Ministry of Science and Technology(MOST) (¬ì§Þ³¡¦ÛµM¥q¼Æ¾Ç¾Çªù¼fÄ³©e­û2012/01-2014/12)
16. 2nd Applied Mathematics Workshop of NCU-CityU, NCU, Taiwan, 2015/11/13-2015/11/14.(Organizer)
17. 2012/08~2015/07 Chairman of Department of Mathematics, National Central University, Taiwan
18. 2012/08~ 2015/07 Chairman of Center of Mathematics and Theoretical Physics, National Central University, Taiwan
19. 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.
20. 2012-2015 Committee, Researching Committee of Chinese Mathematical Society.
21. 2014-2015 Scientific Committee, Annual Meeting of the Mathematical Society, Taiwan,
22. 2014, July 7-11, Sessions Organizer of "The 10th AIMS Conference on DSAE&A, Madrid, Spain"
23. 2012 July 1-5, Session Organizer of "9th AIMS Conference, Orlando, Florida, USA"
24. Jann-Long Chern, One of Organizers of the ¡§2012 NCTS (Taiwan) - POSTECH (Korea) Joint Workshop on Partial Differential Equations¡¨, Nov. 8-9, 2012.
25. Joint Workshop on Partial Differential Equations¡¨, Nov. 8-9, 2012.
26. 2011~2012 Program Committee and Execute Committee of NCTS, Taiwan
27. 2007/08~2008/07 Visiting Professor of NCTS, Taiwan
28. 2006~2009, Committee and Research Committee of Chinese Mathematical Society
29. 2000/01 Visiting Professor of Tokyo University, Japan
30. 1997/08~1998/07 Visiting Professor of Georgia Institute of Technology, USA

D. Referee of International Journals: (Selected)

(a) Reviewer of American Mathematical Review(1993~)

(c) Referee of the following Journals: (Selected)

Transactions of the American Mathematical Society;

Communcations in Mathematical Physics;

Calculus of Variations and Partial Differential Equations;

Journal of Differential Equations;

Journal of Mathematical Physics;

Discrete and Continuous Dynamical System A;

IEEE Signal Processing Letters; J. Math Anal.Appl.;

Comm. Pure and App. Anal.; Taiwanese J. of Math;

Applied Math and Mech,

etc.

E. Conferences Papers and Invited Lectures Talks (Selected)¡G

1. Jann-Long Chern, Invited Speaker of "International Conference on Nonlinear Analysis and its Applications:, March 23-24, 2018.
2. Jann-Long Chern, Invited Speaker of "26th Annual Meeting on Differential Equations and Related Topics",  Jan. 6-7, 2018.
3. Jann-Long Chern, Special Invited Lecture on "2017 KMS Annual Meeting, Korea, October 27-29, 2017" (2017년도 대한수학회 정기총회 가을 연구발표회, 2017. 10. 27() ~ 29(), 단국대학교(천안캠퍼스)
4. Jann-Long Chern, Invited Speaker of "2018 Taiwan Mathematical Society Annual Meeting".
5. 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
6. Jann-Long Chern, Uniqueness of positive solution to a coupled cooperative variational elliptic system on an interval, Mathematical Analysis on Nonlinear PDES, Tohoku University, Jan. 6-8, 2017, (Invited Speaker)
7. Jann-Long Chern, Organizer of Session and Invited Speaker of the 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA, July 1-5, 2016.
8. Jann-Long Chern, Workshop on Hamiltonian Systems and Variational Methods, Southeast University, Nanjing, China, May 30-31, 2015 (Invited Speaker)
9. Jann-Long Chern, On the Elliptic Equations of Hardy-Sobolev Type with Multiple Boundary Singularities, National Center for Theoretical Sciences, Taiwan Univ, Dec. 3, 2015 (One-Hour Invited Talk).
10. Jann-Long Chern, Uniqueness of positive solution to a coupled cooperative variational elliptic system on an interval, Chiao-Tung Univ, Dec. 8, 2015 (One-Hour Invited Talk).
11. Jann-Long Chern, Organizer of Session and Invited Speaker of Section of the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain, July 7-11, 2014.
12. Jann-Long Chern, Caffarelli-Kohn-Nirenberg and Hardy-Sobolev Inequality with Boundary Singularities, The 9th East Asian Conference on PDE, July 28-31, 2014, Japan (Invited Speaker)
13. Jann-Long Chern, Organizer of ¡§The 21th Annual Workshop on Differential Eqns.¡¨, Taiwan, January 18-19, 2013.
14. Jann-Long Chern, Organizer of Session SS38 and Invited Speaker of Section SS33 of the 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA, July 1-5, 2012.
15. Jann-Long Chern, Invited Two Lectures Talks (90 Minutes), Summer Seminar on PDE in 2011 ®Lの°¾·L¤À¤èµ{¦¡セミナー2011{¥ÐÃä¥ý¥Íを囲む°¾·L¤À¤èµ{¦¡¬ã¨s¶°会}, Japan, August 1-8, 2011,
16. Jann-Long Chern, Invited 90 Minutes Lecture Talks, June 28, 2011, Tokyo Institute of Technology, Japan.: (i) Structural Analysis of Solutions to Some Nonlinear Elliptic Systems (ii) On the Minimizers of (CKN)¡¦s Inequality with the Singularity on the Boundary.
17. J.-L. Chern, Minimizers of Caffarelli-Kohn-Nirenberg inequality and Related Sobolev-Hardy Partial Differential Equations, Invited Speaker (50 minutes.) of 2011 Annual Meeting of Math. Society, Dec. 4-6, 2011.
18. J.-L. Chern, Uniqueness of Topological Solutions and The Structure of Solutions for the Chern-Simons Equations with Two Higgs Particles, Nonlinear Phenomena: A View From Mathematics And Physics, Jan. 10-14, 2011. (Invited Poster Section)
19. J.-L. Chern, Uniqueness of solution to a coupled coorperative system, 19th Workshop on Differential Equations and its Applications, Invited Lecture Talk, Taiwan, Jan. 14-17, 2011.
20. J.-L. Chern, Minimizers of Cafarelli-Kohn-Nirenberg inequality with the singularity on the boundary, Invited One hour Lecture in 2010 NCTS Workshop on Calculus of Variations and Related Topic.
21. J.-L. Chern, Uniqueness and Structures of Solutions for Elliptic System of PDES, Invited Speaker (50 minutes.) of 2009 Annual Meeting of Math. Society, Dec. 4-6, 2009.
22. J-L. Chern and Eiji Yanagida, Taiwan-Japan Joint Workshop on Partial Differential Equations, Feb. 23-26, 2009. (One of the organizers)
23. J.-L. Chern, Minimizers of Caffarelli-Kohn-Nirenberg Inequality with the singularity on the boundary, Interdisciplinary Conference on Applied Analysis and Mathematics, May 11-13, 2009. (Invited Speaker: 50 min.)
24. J.-L. Chern, Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation, 7th AIMS Int. Conference on Dynamical Systems, Diff. Eqns. And Appl, May 18-21,2008, USA. (Invited Talk: 40 min.)
25. J.-L. Chern, On the Uniqueness and Structures of Solutions for the Self-Dual Chern-Simons Model, Taiwan-Tohoku Seminar on Differential Equations, April 15, Tohoku, Japan, 2008, Invited 90 minutes Lecture Talks.
26. J.-L. Chern, On the Reviews and New Results about the Uniqueness and Structures of Solutions for the Abelian Chern-Simons Model, Invited Speaker of The Annual Meeting of the Mathematical Society Taiwan, 2008. (Invited Speaker: 50 minutes)
27. J.-L. Chern, On the Uniqueness and Structure of Solutions for Abelian Chern-Simons Model, 2008 Workshop on Nonlinear Analysis and Geometric Analysis, Academic Sinica, Taiwan. (Invited Speaker: 50 minutes)
28. J.-L. Chern, Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles, A PDE Day of Taida Institute for Mathematical Sciences, Nov. 28, 2007. (Invited Speaker: 50 minutes)
29. J.-L. Chern, A divergence-type identity in punctured domain and its application to singular polyharmonic problem, AIMS¡¦s Fifth International Conference on Dynamical Systems amd Differential Equations, Pomona, CA, USA, 2004.
30. J.-L. Chern, The Singular Solutions for a Semilinear Elliptic Equations with Critical Exponent, Proc.. 2003 Anal. And Diff. Eqn. Conference, Tamk. Univ. (Invited Speaker: 50 min.)
31. J.-L. Chern, Ther Symmetry Problems of the Positive Solutions of Semilinear Elliptic Equations, Fifth Americas Conference on Differential Equations and Nonlinear Dynamics, Canada, 2002.
32. J.-L. Chern and C.-S. Lin, The Symmetry of Least-Energy Solutions for Semilinear Elliptic Equations, Proceedings of Second East Asia Differential Equations Conference, Korea, 2001.
33. J.-L. Chern, The Singular Solutions set of Semilinear Elliptic Equations with Critical Exponent, The 2nd International Congress of Chinese Mathematicans (ICCM), Dec. 17-22, Taiwan, 2001.
34. J.-L. Chern, On the set of the Singular Solutions for Semilinear Elliptic Equations with Critical Exponent, Proceedings of the Ninth Workshop on Differential Equations and its Applications, Taiwan, 2001.
35. J.-L. Chern, On the Symmetry of the Least-Energy Solutions for Semilinear Elliptic Equations, Spatial Structure and Dynamics of Solutions for Nonlinear Systems, Jan. 27-29, Tokyo Univ. Japan, 2000.
36. J.-L. Chern, The Symmetry of the Least-Energy Solutions for Semilinear Elliptic Equations I, II, Set a Seminar on Mathematical Analysis, Feb. 5-6, Ryukoku Univ., Japan 2000.
37. J.-L. Chern,  The Blow-Up Solutions of Semlinear Elliptic Equations, Proceeding of 8th Conference of Differential Equations, Taiwan, 2000.
38. J.-L. Chern, Smooth and Periodic Factorizations of Time Varying Matrices, Proceedings of the Conference on Nonlinear Differential Equations and Numerical Analysis, Taiwan, 1999.
39. J.-L. Chern, The Smoothness and Periodicity of Some Time Varying Matrices, The 1st International Congress of Chinese Mathematicans (ICCM), Beijing, China, Dec. 12-16, 1998.
40. J.-L. Chern and D. Luca, Smooth and Periodic Factorizations of Time Varying matrices, The third American Conference on Diff. Eqns. And Nonl. Anal., 1998..
41. J.-L. Chern, On the Solution Structures of Some Semilinear Elliptic Equations, The Second Taiwan-Philippine Symposium In Analysis , June 2-5, Tsing-Hua Univ., Taiwan, 1997.
42. Jann-Long Chern, The Structure of Positive Solutions of Semilinear Elliptic Equations on R^n, The 2nd World Congress of Nonli. Analy., Internat. Federation of Nonli. Analy., Athens, Greece, 1996.
43. Jann-Long Chern, The Limit Sets of Dynamical Symtem on Spheres, Proceeding of the 4th Workshop on Nonlinear Partial Differential Equations, Taiwan, 1996.
44. Jann-Long Chern, Positive Radial Solutions on ¡µ£g+lxl m K(x)u p = 0 in R n, Proceed. of 21th Seminar on Science and Tech., Nonl. PDEs and Appl., Kyoto Univ., Kyoto Japan, 1994.
45. Jann-Long Chern, On the Cahn-Hilliard Equations, Workshop on Reaction-Diffusion Equations, Chung-Cheng Univ., Sep. 5-9, 1994.
46. Jann-Long Chern, Existence and Asymptotic Behaviors of Singular Solutions of Quasilinear Elliptic Equations in R^n, Proceeding of the 1st Workshop on Nonlinear PDES II, pp. 141-148, Hsinchu, Taiwan, 1994
47. J.-L.Chern, Existence and Asymptotic Behavior of Singular Solutions of Elliptic Equations in R n, Proceeding of the workshop on Nonlinear PDES II, Taiwan (1994), pp.141-148.
48. Jann-Long Chern, On the Elliptic Equation  ¡µ£g+lxl K(x)u p = 0 in R n , Proceeding of the 2nd Workshop on Nonlinear PDES,, pp.61-72, Taiwan, 1993.
49. Jann-Long Chern, Existence and Asymptotic Behavior of Positive Solutions for Quasilinear Elliptic Equations, ¬ö©À¾HÀRµØ¥ý¥Í¾Ç³N¬ã°Q·|, Soochow Univ., Taiwan, 1992.
50. Jann-Long Chern, Conformal Metrices with Prescribed Curvature on S^n, Taiwan-Japan Joint Seminar on Nonlinear PDE (I), Taiwan, 1990.

F. International Visiting (Slected)

(1)   Tokyo I. Technology, Japan, Oct. 11-31, 2015
(2)   Osaka Prefecture University, Japan, Nov. 1-14, 2015.
(3)    Southeast University, Nanjing, China, May 30-31, 2014.
(4)   AIMS, Orlando, Florida, USA, July, 2012
(5)   Ryukoku University, 2011
(6)   Tokyo Institute of Technology, 2011
(7)   Tulane University, USA, May 2010
(8)   College of William and Mary, 2009
(9)   Tohoku University, Japan, April 2008
(10)   Tohoku University, Japan, 2006
(11)   Pomona,  CA, USA, June 2004
(12)   Kyoto University, Japan, July 2001
(13)   University of Seoul, Korea, 2001
(14)   Tokyo University, Japan, Jan. 2000
(15)   Ryukoku University, Japan, Feb. 2000
(16)   Center of Dynamical Systems & Nonlinear Studied, Georgia Tech., USA, August 1997-July 1998.
(17)   Kyoto University, Japan, 1994

G. Technical Reports

1. J.-L. Chern & D. Luca, Smoothness and Periodicity of Some Matrix Decompositions, Center of Dynamical Systems & Nonlinear Studied, GA Tech, Report, CDSNS 99-324, 1999.

H. 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), 2018/08-2021/07.
3. 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), 2015/08-2018/07.
4. On the Nonlinear Analysis of Chern-Simons-Higgs Models and Related Elliptic Systems (3 years, 1/3, 2/3, 3/3), 2012/08-2015/07
5. On the minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary (2 years, 1/2, 2/2), 2010/08-2012/07
6. On the Topological and Non-Topological Multi-Vortex Solutions to the Self-Dual Chern-Simons-Higgs System, 2009