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Retired Research Fellows

Hsieh, Chun-Chung

Retired Research Fellow

Dr. Hsieh's major research interest is geometry and partial differential equations.

Research Fields: Geometry, Partial Differential Equations

Email : cchsieh@math.sinica.edu.tw

Extension : 715

  • Ph.D. in Mathematics Yale University 1990/5

  • Assistant Professor Temple University 1990 - 1991
  • Assistant Research Fellow Academia Sinica 1991 - 2001
  • Associate Research Fellow Academia Sinica 2001 - 2011

  • "The Direct and Inverse Scattering Theory for $\frac{\partial}{\partial t}-\frac{\partial^2}{\partial x^2}-\frac{\partial^2}{\partial y^2}$", Ph.D. dissertation, Yale University, 1990
  • (with A-N Wang) "(With Ai Nung Wang) Minimal Tori in $S^2\times S^1$ . ", Proceedings Amer.Math.Soc., 122 (1), 323-324, 1994
  • "Some Complete Ricci-flat Kahler metrics in $C{\rm P}^2$ , Proc. Amer. Math. Soc. 123(1995), no. 6, 1873-1877. ", 123 (6), 1873-1877, 1995
  • "Phragmen-Lindelof Theorem of MinimalSurface Equations in Domains with Symmetry, Geometriae Dedicata, 71(1988), no. 1, 97-109. ", 71 (1), 97-109, 1998
  • "Generalized Conway polynomials, Journal of Knot Theory And Its Ramifications, 10(2001), no. 6, 923-929. ", 10 (6), 923-929, 2001
  • "(With Jenn-Fang Hwang and Fei-Tsen Liang) Phragmen-Lindelof Theorem of Minimal Surface Equations in Higher Dimensions, Pacific Journal of Mathematics. ", Pacific Journal of Math., 207 (1), 183-198, 2002
  • "Scattering Theory for the Operator $\frac{\partial}{\partial t}-\frac{\partial^2}{\partial x^2}-\frac{\partial^2}{\partial y^2}$ , Inverse Problems, 18(2002), no.1, 153-174. ", 18 (1), 153-174, 2002
  • (with S-W Yang) "Chern-Simons-Witten configuration space integrals in knot theory", Journal of knot theory and its ramifications, 14 (6), 689-711, 2005
  • "Massey-Minlor linking=Chern-Simons-Witten graph", Journal of knot theory and its ramifications, 17 (7), 877-903, 2008
  • "Linking in knot theory", Journal of knot theory and its ramifications, 15 (8), 957-962, 2006
  • (with J.Hebda! C.Tsau) "Linking number of singular links and the Seifert matrix ", Canadian Mathematical Bulletin, 50 (3), 390-398, 2007
  • "Borromean rings and linkings", Journal of Geometry and Physics, 823-831, 2010
  • "First non-vanishing self-linkings of knots(3),Massey-Milnor theory", Journal of Knot Theory and its Ramifications, 22 (5), 677-687, 2011
  • "Combinatoric Massey-Milnor linking theory", Journal of Knot Theory and its Ramifications, 22 (6), 927-938, 2011
  • "First non-vanishing self-linkings of knots(1),combinatoric and diagrammatic study", JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 20 (12), 1637-1648, 2011
  • "Quantum Field Theory and Knot Invariants", Advances in Quantum field theory,Edited by Sergery Ketov,ISBN:978-953-51-00355, 155-184, 2012
  • (with L.Kauffman;C.M.Tsau) "a combinatorial algorithm for computing higher linking numbers", Asian Journal of mathematics, 21 (2), 265-286, 2017
  • "A non-HOMFLY knot invariant", Journal of geometry and physics, 101-113, 2018
  • (with Haret-Codratian Rosu Barbus;Stefan S. Mancas) "Generalized Cornu-type Spirals and their Darboux parametric deformations Physics Letters A", Physics letters A,, 383, 2692-2697, 2019
  • "Combinatoric and diagrammatic study in knot theory", journal of knot theory and its ramifications, 16 (09 ), 1235-1253, 2007
  • (with H.C.Rosu;S.C.Mancas) "superfluid Rayleigh-Olesset extension of FLRW cosmology", Annals of Physics, 429 (168490), 2021-06
  • (with H.C.Rosu;S.C.Mancas) "Radius evolution for bubbles with elastical shells", Communications in nonlinear science and numerical simulation, 103 (106003), 2021-08
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