KuoChang 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 Nbody 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
Preprints

Toward finiteness of central configurations for the planar sixbody problem by symbolic computations. (I) Determine diagrams and orders (with KeMing Chang).
J. of Symbolic Computations, to appear.
[Supplement]

Toward finiteness of central configurations for the planar sixbody problem by symbolic computations. (II) Determine mass relations. (with KeMing Chang)
Preprint 2023.
[Supplement]

The collision singularity of the Kepler problem with singular perturbations
(with KuJung Hsu).
Proc. Amer. Math. Soc., to appear.
Journals

Distance estimates for actionminimizing solutions of the nbody problem (with BoYu Pan).
Regular and Chaotic Dynamics, 28, 561577 (2023).
(special issue in honor of Alain Chenciner)
DOI:10.1134/S1560354723040044

On actionminimizing solutions of the twocenter problem.
Acta Math Sci. 42, 24502458 (2022). (special issue in honor of Banghe Li) DOI:10.1007/s1047302206159

Variational aspects of the twocenter problem.
Arch. Rational Mech. Anal. 244, 225252 (2022). DOI:10.1007/s00205022017628

Distance estimates for simple choreographic solutions of the threebody problem (with BoYu Pan).
Acta. Math. Sin.English Ser. 38, 18231830 (2022).
(special issue in honor of Banghe Li) DOI:10.1007/s1011402222491

Keplerian action, convexity optimization, and the 4body problem.
Anal. Theory Appl. 37, 2458 (2021). (special issue in honor of P. Rabinowitz)
DOI:10.4208/ata.2021.pr80.04

Variational construction for heteroclinic orbits of the Ncenter problem. (with Guowei Yu).
Calc. Var. Partial Differential Equations, 59, no. 1, (2020). DOI:10.1007/s0052601916723

Estimations for the action functional of the Nbody problem by
recursive binary decompositions.
Taiwanese J. Math., 23, Number 2, 503514 (2019). (special
issue in memory of HwaiChiuan Wang) DOI: 10.11650/tjm/181008

Syzygy sequences of the ncenter problem (with Guowei Yu).
Ergodic Theory Dynam. Systems, 38, no. 2, 566582 (2018). DOI:10.1017/etds.2016.37

Strictly convex central configurations of the planar fivebody problem (with J.S. Hsiao).
Trans. Amer. Math. Soc., 370 19071924 (2018). DOI:10.1090/tran/7010

A minimizing property of hyperbolic Keplerian orbits.
J. Fixed Point Theory Appl. , 19, 281287 (2017). (special issue in honor of P. Rabinowitz)
DOI:10.1007/s1178401603535

A theory of central measures for celestial mechanics. (with K.J. Hsu, B.Y. Pan).
SIAM J. Appl. Dyn. Syst., 161, 204225 (2017). DOI:10.1137/15M104863X

Convex central configurations of the nbody problem which are not strictly convex (with J.S. Hsiao)
J. Dynam. Differential Equations, 24, 119128 (2012). DOI:10.1007/s1088401192332

Actionminimizing periodic and quasiperiodic solutions in the
nbody problem (with T. Ouyang and Z. Xia).
Math. Res. Lett., 19, 483497 (2012). DOI:10.4310/MRL.2012.v19.n2.a19

On the barycenter of the tent map (with Xun Dong).
Proc. Amer. Math. Soc., 138, 40254035 (2010). DOI:10.1090/S000299392010103970

Variational constructions for some satellite orbits in periodic gravitational force fields.
Amer. J. Math., 132, 681709 (2010). DOI: 10.1353/ajm.0.0124

On actionminimizing retrograde and prograde orbits of the threebody problem (with Y.C.Lin).
Comm. Math. Phys., 291, 403441 (2009). DOI:10.1007/s0022000907695
[Supplement]

Existence and minimizing properties of retrograde orbits to the
threebody problem with various choices of masses.
Annals of Math. 167, 325348 (2008). DOI:10.4007/annals.2008.167.325

Removing collision singularities from action minimizers for the Nbody problem with free boundaries.
Arch. Rational Mech. Anal. 181, 311331 (2006). DOI:doi.org/10.1007/s0020500504132

Variational methods on periodic and quasiperiodic solutions for the Nbody problem.
Ergodic Theory Dynam. Systems 23, 16911715 (2003). DOI:10.1017/S0143385703000245

Binary decompositions for planar Nbody problems and symmetric periodic solutions.
Arch. Rational Mech. Anal. 170, 247276 (2003). DOI:10.1007/s0020500302772

Actionminimizing orbits in the parallelogram fourbody problem with equal masses.
Arch. Rational Mech. Anal. 158, 293318 (2001). DOI:10.1007/s002050100146

On ChencinerMontgomery's orbit in the threebody problem.
Discrete Contin. Dynam. Systems. 7, 8590 (2001). DOI: 10.3934/dcds.2001.7.85

Symmetry of positive solutions of semilinear elliptic equations in infinite strip domains
(with K.J. Chen, H.C. Wang). J. Differential Equations 148, 18 (1998). DOI:10.1006/jdeq.1998.3463
Books
 SzeBi Hsu, KuoChang Chen,
Ordinary Differential Equations with Applications. Third Edition.
World Scientific, January 2023. ISBN: 9789811250750
 KuoChang Chen (ed.),
Memorial Volume for the 50th Anniversary of the Mathematics Department
of National Tsing Hua University,
December 2014. ISBN: 9789860436471