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Academic Staff

Huang, I-Chiau

Huang, I-Chiau

Research Fellow

Research Fields: Commutative Algebra, Algebraic Geometry

Email : ichuang@math.sinica.edu.tw

Extension : 740

Dr.  Huang's research interests are mainly in three directions:

• injective complexes in the category of modules (resp. sheaves of modules) over a commutative ring (resp. scheme),

• algebraic aspects of combinatorial phenomenon and identities of classical numbers,

• numerical semigroups from the relative viewpoint.

  • B.S. National Taiwan University 1983
  • Ph.D. Purdue University, Indiana 1992

  • Assistant Research Fellow Academia Sinica 1992/8 - 1996/6
  • Associate Research Fellow Academia Sinica 1996/6 - 2001/12
  • Research Fellow Academia Sinica 2001/12 - Present

  • "Cousin Complexes via Total Fractions", J. Pure Appl. Algebra, 227 (9), 2023
  • (with Raheleh Jafari) "Coefficient rings of numerical semigroup algebras", Semigroup Forum, 103, 899-915, 2021
  • "An algebraic approach to residues", Bull. Math. Soc. Sci. Math. Roumanie, 64 (112), 49-62, 2021
  • (with Mee-Kyoung Kim) "Numerical Semigroup Algebras", Comm. Algebra, 48 (3), 1079-1088, 2020
  • (with Raheleh Jafari) "Factorizations in Numerical Semigroup Algebras", J. Pure Appl. Algebra, 223 (5), 2258-2272, 2019
  • (with Cheon, Gi-Sang and Kim, Sooyeong) "Multivariate Riordan groups and their representations", Linear Algebra Appl., 514, 198-207, 2017
  • "Extensions of Tangent Cones of Monomial Curves", J. Pure Appl. Algebra, 220, 3437-3449, 2016
  • "Residual Complex on the Tangent Cone of a Numerical Semigroup Ring", Acta Math. Vietnam., 40 (1), 149-160, 2015
  • "Convolution Identities and their Structure", Int. J. Number Theory, 10 (2), 471-482, 2014
  • "Finitely Continuous Differentials on Generalized Power Series", Math. Slovaca, 64 (2), 267-280, 2014
  • "Algebraic Structures of Euler Numbers", Proc. Amer. Math. Soc., 140 (9), 2945-2952, 2012
  • "Two approaches to Mobius Inversion", Bull. Austral. Math. Soc., 85, 68-78, 2012
  • "Algebraic Structures of Bernoulli Numbers and Polynomials", arXiv:1005.0177, 2012
  • (with Shou-Te Chang) "Continuous Homomorphisms and Rings of Injective Dimension One", Math. Scand., 110, 181-197, 2012
  • "Changes of Parameters for Generalized Power Series", Comm. Algebra, 38, 2480-2498, 2010
  • "Method of Generating Differentials", In Advances in Combinatorial Mathematics, Springer-Verlag, 127-154, 2009
  • (with C.-Y. Jean Chan) "Module Structure of an Injective Resolution ", Comm. Algebra, 35 (11), 3717-3750, 2007
  • "Cohomology of Vector Bundles from a Double Cover of the Projective Plane", Osaka J. Math, 43, 557-579, 2006
  • (with Jan-Li Lin) "Residues for Akizuki's One-dimensional Local Domain", Proc. Amer. Math. Soc., 131 (7), 2015-2020, 2003
  • "Inverse Relations and Schauder Bases", J. Combin. Theory Ser. A, 97, 203-224, 2002
  • "Residue Methods in Combinatorial Analysis. in Local Cohomology and its Applications, Lecture Notes in Pure and Appl. Math., Vol. 226, 255-342, Marcel Dekker. ", 2002
  • "The Residue Theorem via an Explicit Construction of Traces", J. Algebra, 245, 310-354, 2001
  • "Cohomology of Projective Space Seen by Residual Complexes", Trans. Amer. Math. Soc., 353 (8), 3097-3114, 2001
  • "An Explicit Construction of Residual Complexes", J. Algebra, 225, 698-739, 2000
  • (with Su-Yun Huang) "Bernoulli Numbers and Polynomials via Residues ", J. Number Theory, 76, 178-193, 1999
  • "Reversion of Power Series by Residues", Comm. Algebra, 26 (3), 803-812, 1998
  • "Theory of Residues on the Projective Plane", Manuscripta Math., 92 (2), 259-272, 1997
  • "Applications of Residues to Combinatorial Identities", Proc. Amer. Math. Soc., 125 (4), 1011-1017, 1997
  • "Constructions of Artinian Modules", Comm. Algebra, 23 (13), 5025-5030, 1995
  • "A Residue Map and Its Applications to Some One Dimensional Rings", Proc. Amer. Math. Soc., 123 (8), 2369-2372, 1995
  • "Pseudofunctors on Modules with Zero Dimensional Support. Mem. Amer. Math. Soc., 114(548), 1995. ", 1995
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