Kuo-Chang Chen's Curriculum Vitae


Academic Positions

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

Dynamical systems and ergodic theory, celestial mechanics, calculus of variations, partial differential equations.

Editorial Services

Nonlinearity (2019.3 - present)
Discrete and Continuous Dynamical Systems - Series A (2008.11 - present)

Publications

Journals

  1. The collision singularity of the Kepler problem with singular perturbations (with Ku-Jung Hsu). Proc. Amer. Math. Soc., to appear.
  2. Variational aspects of the two-center problem. Arch. Rational Mech. Anal. 244, 225-252 (2022). DOI:10.1007/s00205-022-01762-8
  3. Keplerian action, convexity optimization, and the 4-body problem. Anal. Theory Appl. 37, 24-58 (2021). DOI:10.4208/ata.2021.pr80.04
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. Variational constructions for some satellite orbits in periodic gravitational force fields. Amer. J. Math., 132, 681-709 (2010). DOI: 10.1353/ajm.0.0124
  14. 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]
  15. 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
  16. 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
  17. 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
  18. 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
  19. Action-minimizing orbits in the parallelogram four-body problem with equal masses. Arch. Rational Mech. Anal. 158, 293-318 (2001). DOI:10.1007/s002050100146
  20. 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
  21. 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