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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

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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.

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部分著作目錄

1. "Cousin Complexes via Total Fractions" , 227 (9), 2023.
2. (with Raheleh Jafari) "Coefficient rings of numerical semigroup algebras" , Semigroup Forum , 103, 899-915, 2021.
3. "An algebraic approach to residues" , Bull. Math. Soc. Sci. Math. Roumanie , 64 (112), 49-62, 2021.
4. (with Mee-Kyoung Kim) "Numerical Semigroup Algebras" , Comm. Algebra , 48 (3), 1079-1088, 2020.
5. (with Raheleh Jafari) "Factorizations in Numerical Semigroup Algebras" , J. Pure Appl. Algebra , 223 (5), 2258-2272, 2019.
6. (with Cheon, Gi-Sang and Kim, Sooyeong) "Multivariate Riordan groups and their representations" , Linear Algebra Appl. , 514, 198-207, 2017.
7. "Extensions of Tangent Cones of Monomial Curves" , J. Pure Appl. Algebra , 220, 3437-3449, 2016.
8. "Residual Complex on the Tangent Cone of a Numerical Semigroup Ring" , Acta Math. Vietnam. , 40 (1), 149-160, 2015.
9. "Convolution Identities and their Structure" , Int. J. Number Theory , 10 (2), 471-482, 2014.
10. "Finitely Continuous Differentials on Generalized Power Series" , Math. Slovaca , 64 (2), 267-280, 2014.
11. "Algebraic Structures of Euler Numbers" , Proc. Amer. Math. Soc. , 140 (9), 2945-2952, 2012.
12. "Two approaches to Mobius Inversion" , Bull. Austral. Math. Soc. , 85, 68-78, 2012.
13. "Algebraic Structures of Bernoulli Numbers and Polynomials" , arXiv:1005.0177 , 2012.
14. (with Shou-Te Chang) "Continuous Homomorphisms and Rings of Injective Dimension One" , Math. Scand. , 110, 181-197, 2012.
15. "Changes of Parameters for Generalized Power Series" , Comm. Algebra , 38, 2480-2498, 2010.
16. "Method of Generating Differentials" , In Advances in Combinatorial Mathematics, Springer-Verlag , 127-154, 2009.
17. (with C.-Y. Jean Chan) "Module Structure of an Injective Resolution" , Comm. Algebra , 35 (11), 3717-3750, 2007.
18. "Cohomology of Vector Bundles from a Double Cover of the Projective Plane" , Osaka J. Math , 43, 557-579, 2006.
19. (with Jan-Li Lin) "Residues for Akizuki's One-dimensional Local Domain" , Proc. Amer. Math. Soc. , 131 (7), 2015-2020, 2003.
20. "Inverse Relations and Schauder Bases" , J. Combin. Theory Ser. A , 97, 203-224, 2002.
21. "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.
22. "The Residue Theorem via an Explicit Construction of Traces" , J. Algebra , 245, 310-354, 2001.
23. "Cohomology of Projective Space Seen by Residual Complexes" , Trans. Amer. Math. Soc. , 353 (8), 3097-3114, 2001.
24. "An Explicit Construction of Residual Complexes" , J. Algebra , 225, 698-739, 2000.
25. (with Su-Yun Huang) "Bernoulli Numbers and Polynomials via Residues" , J. Number Theory , 76, 178-193, 1999.
26. "Reversion of Power Series by Residues" , Comm. Algebra , 26 (3), 803-812, 1998.
27. "Theory of Residues on the Projective Plane" , Manuscripta Math. , 92 (2), 259-272, 1997.
28. "Applications of Residues to Combinatorial Identities" , Proc. Amer. Math. Soc. , 125 (4), 1011-1017, 1997.
29. "Constructions of Artinian Modules" , Comm. Algebra , 23 (13), 5025-5030, 1995.
30. "A Residue Map and Its Applications to Some One Dimensional Rings" , Proc. Amer. Math. Soc. , 123 (8), 2369-2372, 1995.
31. "Pseudofunctors on Modules with Zero Dimensional Support. Mem. Amer. Math. Soc., 114(548), 1995." , 1995.