Kuo-Chang Chen's Curriculum Vitae

Department of Mathematics, National Tsing Hua University.
Department Chair, 2012.8 - 2015.7.
Professor, 2009.8 - present.
Associate Professor, 2006.8 - 2009.7.
Assistant Professor, 2004.8 - 2006.7.
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing.
Visiting Professor, 2021.8 - 2022.1.
Department of Mathematics, Capital Normal University, Beijing.
Visiting Professor, 2019.8 - 2020.1.
Department of Mathematics, Tsinghua University, Beijing.
Visiting Professor, 2015.8 - 2016.1.
Department of Mathematics, University of Arizona.
Visiting Assistant Professor, 2002.8 - 2004.7.
Mathematics Department, Northwestern University.
Lecturer, 2001.9 - 2002.8.
Institute of Mathematics, Academia Sinica. Jointly appointed researcher
Center of General Education, National Tsing Hua University. Jointly appointed professor

Education

University of Minnesota, Minneapolis.
Ph.D. in Mathematics, May 2001.  
Thesis advisor: Richard Moeckel
Thesis title: Variational methods and periodic solutions of the Newtonian N-body problem
National Tsing Hua University, Taiwan.
M.S. in Mathematics, June 1996.
B.S. in Mathematics, June 1994.

Research Interests

Editorial Services

Publications

Preprints

1. Toward finiteness of central configurations for the planar six-body problem by symbolic computations. (I) Determine diagrams and orders (with Ke-Ming Chang). J. of Symbolic Computations, to appear. [Supplement]
2. Toward finiteness of central configurations for the planar six-body problem by symbolic computations. (II) Determine mass relations. (with Ke-Ming Chang) Preprint 2023. [Supplement]
3. The collision singularity of the Kepler problem with singular perturbations (with Ku-Jung Hsu). Proc. Amer. Math. Soc., to appear.

Journals

1. Distance estimates for action-minimizing solutions of the n-body problem (with Bo-Yu Pan). Regular and Chaotic Dynamics, 28, 561-577 (2023). (special issue in honor of Alain Chenciner) DOI:10.1134/S1560354723040044
2. On action-minimizing solutions of the two-center problem. Acta Math Sci. 42, 2450-2458 (2022). (special issue in honor of Banghe Li) DOI:10.1007/s10473-022-0615-9
3. Variational aspects of the two-center problem. Arch. Rational Mech. Anal. 244, 225-252 (2022). DOI:10.1007/s00205-022-01762-8
4. Distance estimates for simple choreographic solutions of the three-body problem (with Bo-Yu Pan). Acta. Math. Sin.-English Ser. 38, 1823-1830 (2022). (special issue in honor of Banghe Li) DOI:10.1007/s10114-022-2249-1
5. Keplerian action, convexity optimization, and the 4-body problem. Anal. Theory Appl. 37, 24-58 (2021). (special issue in honor of P. Rabinowitz) DOI:10.4208/ata.2021.pr80.04
6. Variational construction for heteroclinic orbits of the N-center problem. (with Guowei Yu). Calc. Var. Partial Differential Equations, 59, no. 1, (2020). DOI:10.1007/s00526-019-1672-3
7. Estimations for the action functional of the N-body problem by recursive binary decompositions. Taiwanese J. Math., 23, Number 2, 503-514 (2019). (special issue in memory of Hwai-Chiuan Wang) DOI: 10.11650/tjm/181008
8. Syzygy sequences of the n-center problem (with Guowei Yu). Ergodic Theory Dynam. Systems, 38, no. 2, 566-582 (2018). DOI:10.1017/etds.2016.37
9. Strictly convex central configurations of the planar five-body problem (with J.S. Hsiao). Trans. Amer. Math. Soc., 370 1907-1924 (2018). DOI:10.1090/tran/7010
10. A minimizing property of hyperbolic Keplerian orbits. J. Fixed Point Theory Appl. , 19, 281-287 (2017). (special issue in honor of P. Rabinowitz) DOI:10.1007/s11784-016-0353-5
11. A theory of central measures for celestial mechanics. (with K.J. Hsu, B.Y. Pan). SIAM J. Appl. Dyn. Syst., 16-1, 204-225 (2017). DOI:10.1137/15M104863X
12. Convex central configurations of the n-body problem which are not strictly convex (with J.S. Hsiao) J. Dynam. Differential Equations, 24, 119-128 (2012). DOI:10.1007/s10884-011-9233-2
13. Action-minimizing periodic and quasi-periodic solutions in the n-body problem (with T. Ouyang and Z. Xia). Math. Res. Lett., 19, 483-497 (2012). DOI:10.4310/MRL.2012.v19.n2.a19
14. On the barycenter of the tent map (with Xun Dong). Proc. Amer. Math. Soc., 138, 4025-4035 (2010). DOI:10.1090/S0002-9939-2010-10397-0
15. Variational constructions for some satellite orbits in periodic gravitational force fields. Amer. J. Math., 132, 681-709 (2010). DOI: 10.1353/ajm.0.0124
16. On action-minimizing retrograde and prograde orbits of the three-body problem (with Y.-C.Lin). Comm. Math. Phys., 291, 403-441 (2009). DOI:10.1007/s00220-009-0769-5 [Supplement]
17. Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses. Annals of Math. 167, 325-348 (2008). DOI:10.4007/annals.2008.167.325
18. Removing collision singularities from action minimizers for the N-body problem with free boundaries. Arch. Rational Mech. Anal. 181, 311-331 (2006). DOI:doi.org/10.1007/s00205-005-0413-2
19. Variational methods on periodic and quasi-periodic solutions for the N-body problem. Ergodic Theory Dynam. Systems 23, 1691-1715 (2003). DOI:10.1017/S0143385703000245
20. Binary decompositions for planar N-body problems and symmetric periodic solutions. Arch. Rational Mech. Anal. 170, 247-276 (2003). DOI:10.1007/s00205-003-0277-2
21. Action-minimizing orbits in the parallelogram four-body problem with equal masses. Arch. Rational Mech. Anal. 158, 293-318 (2001). DOI:10.1007/s002050100146
22. On Chenciner-Montgomery's orbit in the three-body problem. Discrete Contin. Dynam. Systems. 7, 85-90 (2001). DOI: 10.3934/dcds.2001.7.85
23. Symmetry of positive solutions of semilinear elliptic equations in infinite strip domains (with K.J. Chen, H.C. Wang). J. Differential Equations 148, 1-8 (1998). DOI:10.1006/jdeq.1998.3463

Books

1. Sze-Bi Hsu, Kuo-Chang Chen, Ordinary Differential Equations with Applications. Third Edition. World Scientific, January 2023. ISBN: 978-981-125-075-0
2. Kuo-Chang Chen (ed.), Memorial Volume for the 50th Anniversary of the Mathematics Department of National Tsing Hua University, December 2014. ISBN: 978-986-04-3647-1