聯絡資訊
- ichuang$\color{red}{@}$math.sinica.edu.tw
- +886 2 2368-5999 ext. 740
- +886 2 2368-9771
研究專長
學歷
- Ph.D.
Purdue University, Indiana
(1992)
- B.S.
台灣大學
(1983)
經歷
- Research Fellow
Academia Sinica
2001/12 - Present
- Associate Research Fellow
Academia Sinica 1996/6 - 2001/12
- Assistant Research Fellow
Academia Sinica 1992/8 - 1996/6
研究簡介
Dr. Huang's research interests are mainly in two 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.
部分著作目錄
(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.
(with Shou-Te Chang) "Continuous Homomorphisms and Rings of Injective Dimension One"
, Math. Scand.
, 110, 181-197, 2012.
"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.
"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.
"Algebraic Structures of Bernoulli Numbers and Polynomials"
, arXiv:1005.0177
, 2012.
(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.
"Cousin Complexes via Total Fractions"
, 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.