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退休研究人員

阮希石

退休研究人員

阮希石畢業於臺灣大學數學系 (1966年學士, 1968年碩士), 以及美國布蘭代斯大學數學研究所(1974年博士)。之後曾 任教於美國加州柏克萊大學 (1974-1976), 台灣清華大學 (1976-1988) 及美國克拉克大學 (1988-1989), 曾受聘於美國 普林斯敦高等研究院(1981-1982), 日本京都大學數理研究所 (1989-1990), 德國馬克斯布朗克數學所(1990-1993) 為客座 研究教授。於1993年7月受聘為中研院數學所研究員。

　　阮希石的研究領域為代數幾何, 複數幾何, 數學物理及 表現論, 近年來的工作著重於與物理相關之幾何問題。 　

研究領域: 代數幾何、複數幾何 、數學物理

Email : maroan@gate.sinica.edu.tw

分機 : 400

  • "Degeneration of K3 and abelian surfaces, Ph.D. thesis of Brandeis Uniuersity, 1974. "
  • "A remark on Grauert's theorm, Bull. Inst. Math. Academia Sinica, 5(1977), 167-170. "
  • "Subvarieties of condimension 2, Bull. Inst. Math. Academia Sinica, 6(1978), 189-196. "
  • "The configuration of singular varieties, Bull. Inst. Math. Academia Sinica, 7(1979), 419-429. "
  • "The fundamental group of residual space of a curve in an algebraic surface, Chinese J. Math., 7(1979), 163-175. "
  • "Branched covering spaces Chinese J. Math., 7(1979), 177-206. "
  • "Picard-Lefschetz transformation on homotopy group, Chinese J. Math. 9(1981), 81-90. "
  • "Subbundlies of the tangent bundle of the complex projective spaces, Bull. Inst. Math. Academia Sinica 9(1981), 1-28. "
  • "On elliptic fiber surfaces, Chinese J. Math. 11(1983), 129-142. "
  • "On flat fiber surfaces, Chinese J. Math. 11(1983), 157-180. "
  • "A note on cancellation, Chinese J. Math. 11(1983), 319-325. "
  • "Homogeneous vector bundles over projective varieties, Chinese J. Math. 12(1984), 137-169. "
  • "(With Shing-tung Yau) On Ricci flat 3-fold, Acta Mathematica Sinica, New Series, Beijing, 3(3)(1987), 256-288. "
  • "On the generalization of Kummer surfaces, J. Diff. Geom., 30(2), (1989), 523-537. "
  • "On the Calabi-Yau orbifolds in weighted projective spaces, Internat. J. Math., 1(2), (1990), 211-232. "
  • "(With B. M. McCoy) Excitation spectrum and phase structure of chiral Potts model, Phys. Lett. A, 150 (1990), 347-354. "
  • "(With B. R. Greene and S. T. Yan) Geometric singularities and spectra of Landau-Ginzburg models, Comm. Math. Phys., 142(1991), 245-259. "
  • "The mirror of Calabi-Yau orbifold, Internat. J. Math., 2(4), (1991), 439-455. "
  • "A characterization of "rapidity" curve in chiral Potts model, Comm. Math. Phys., 145(1992), 605-634. "
  • "Modular invariance of manifold with SU(n) holonomy, Internat. J. Math., 3(3), (1992), 359-395. "
  • "(With K. Ono) Vafa's formula and equivariant K-theory, J. Geom. Phys., 10(1993), 287-294. "
  • "Onsager's algebra, loop algebra and chiral Potts model, MPI 91-70. "
  • "Abelian integral in chrial Potts model, MPI 92-27. "
  • "Mirror symmetry and arnold's duality, MPI 92-86. "
  • "The geometry of Calabi-Yau orbifolds, Essays on mirror manifolds, Internat. Press, Hong Kong, 1992, 342-348. "
  • "(With B.R. Greene and M.R.L. Plesser) New construction of mirror manifolds: probing moduli space far from Fermat points. Essays on mirror manifolds, Internat. Press Hong Kong, 1992, 408-448. "
  • "Topological coupling of Calabi-Yau orbifold, J. Group Theory in Physics, 1(1993), 83-103. "
  • "(With A.M. Perelomov) A new example of N=2 supersymmetric Laudau-Ginzburg theories: the two ring case, Modern Phys. Lett. A8(31), (1993), 2989-2999. "
  • "Topological properties of Calabi-Yau manifolds, in Perspectives in mathematical Physics(edited by B. R. Greene and S. T. Yau) International Press, (1994), 251-264. "
  • "On = 0 resolution of quotient singularity, Internat. J. Math., 5(4)(1994), 523-536. "
  • "(With R. Leandre) A stochastic approach to Euler Poincare number of loop space of adevelopable orbifold, J. Geom. Phys., 16(1995), 71-98. "
  • "Minimal resolutions of Gorenstein orbifolds in dimension three, Topology, 35(1996), 489-508. "
  • "(With A. Klemm, B. H. Lian and S. T. Yau) A note on ODEs from mirror symmetry, Functional analysis on the eve of the 21st century-in honor of the 80 birthday of I.M. Gelfand, vol. 11,301-323, (1996) Birkhaser Boston, Inc. "
  • "Toric geometry in mirror geometry, Academia Sinica Math. preprint R940907-1. "
  • "Picard groups of hypersufaces in toric varieties, Publ. RIMS, Kyoto Univ., 32(1996), 797-834. "
  • "Mirror symmetry of elliptic curves and Ising model, J. Geom. Phys., 20(1996), 273-296. "
  • "(With Y. Goto) Weighted projective sufaces of splitting-type, MIAS 95-5. "
  • "(With S. S. Lin) Bethe Ansatz for Heisenberg XXX model, MIAS 95-6, cond-mat/9509183. "
  • "Resolutions of quotient singularities, Proc. Natl. Sci. Counc., ROC(A), 20(6) (1996), 593-598. "
  • "Orbifold Euler characteristic, in Mirror Symmetry II, 129-140 (edited by B. Greene and S. T. Yau) American Mathematical Society, International Press, 1997. "
  • "(With M. L. Ge and S. S. Lin) Yang-baxter relation for sl(2)-Yangian, MIAS 96-2. "
  • "Crepant resolution and fibred CY manifold, MIAS 97-1. "
  • "(With A. Klemm, B. H. Lian and S. T. Yau) Calabi-Yau fourfolds for M-and F-Theory compactifications, Nucl. Phys. B5183 (1998), 515-574, hep-th/9701023. "
  • "(With O. K. Pashaev and S. S. Lin) Gauge symmetry and integrable models, MSRI Preprint 1977-88, hep-th/9709073. "
  • "Schwarz's fuction and chiral Potts model, Helvetical Acta, 71(1998), 242-261. "
  • "Heisenberg and modular invariance of N = 2 conformal field theory, (to appear in Intern. J. Mod. Phys. A), MIAS 99-1, hep-th/9902198. "
  • "(With E. Date) The algebraic structure of the Onsager algebra, Czechoslovak Journal of Physics, 50(1), (2000), 37-44, cond-mat/002418. "
  • "(With E. Date) The structure of quotients of the Onsager algebra by closed ideals, (to appear in Phys. A), math-QA/9911018. "
  • "(With S. S. Lin) Algebraic geometry approach to the Bethe equation for Hofstadter type models, cond-mat/9912473. "
  • "The Q-operator for root-of-unity symmetry in six vertex model", Journal of Physics A: Mathemtical and Geneneral, 39 (40), 12303-12325, 2006
  • "Structure of certain Chebyshev-type polynomials in Onsager’s algebra representation,", Journal of Computational and Applied Mathematics(math-ph/0501045.), 2006-04
  • "Bethe ansatz and symmetry in superintegrable chiral Potts model and root-of-unity six-vertex model", Differential Methods in Theoretical Physics(E-arXiv: cond-mat/0511543.), 2005-11
  • "Fusion operators in the generalizedτ(2) -model and the root-of-unity symmetry of six-vertex model with a higher spin,", E-arXiv: cond-mat/0607258.
  • "The Q-operator and functional relations of the eight-vertex model at root-of-unity η = 2mK/N for odd N", E-arXiv: cond-mat/ 0611316.
  • "The transfer matrix of superintegrable chiral Potts model as the Q-operator of root-of-unity XXZ chain with cyclic representation of Uq(sl2)", J. Stat. Mech., 2007
  • "On the equivalent theory of the generalized $\tau^{(2)}$model and the chiral Potts model with two alternating vertical rapidities", 2008
  • "Bethe equation of $\tau^{(2)}$-model and eigenvalues of finite-size transfer matrix of chiral Potts model with alternating rapidities", 2008
  • "On $\tau^{(2)}$-model in chiral Potts model and cyclic representation of quantum groupUq(sl2)", 2008
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