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基本資料表

蔡孟傑 Meng-Kiat Chuah
03-571-5131 ext. 33081
03-572-3888
蔡孟傑 Meng-Kiat Chuah

教師

李群、李代數、辛幾何
綜三館501室
學校名稱國別系所學位起迄年月
美國麻省理工學院數學系博士1989-08~1993-08
布蘭代斯大學美國數學系學士1985-08~1989-05
服務機關名稱單位職務期間
國立清華大學數學系教授2007-02~2020-08
國立交通大學數學系教授1998-08~2007-01
國立交通大學數學系副教授1993-08~1998-07
論文名稱
Partial Dirac cohomology and tempered representations (with J. S. Huang and J. A. Wolf), Journal of Functional Analysis 284 (2023), 109822.
Outer automorphism groups of real forms of contragredient Lie superalgebras (with M. Zhang), Journal of Algebra 619 (2023), 60-98.
Outer automorphism groups of contragredient Lie superalgebras (with M. Zhang), Algebras and Representation Theory 25 (2022), 401-412.
Levi factors and admissible automorphisms (with R. Fioresi), Algebras and Representation Theory 25 (2022), 341-358.
Symplectic symmetric pairs of contragredient Lie superalgebras (with M. Zhang), Annali di Matematica Pura ed Applicata 200 (2021), 1195-1215.
Equal rank real forms of affine non-twisted Kac-Moody Lie superalgebras (with R. Fioresi), Journal of Pure and Applied Algebra 224 (2020), 106278.
Real forms of contragredient Lie superalgebras with isomorphic even parts (with R. Fioresi), Journal of Lie Theory 29 (2019), 239-246.
Affine Vogan diagrams and symmetric pairs, Journal of Pure and Applied Algebra 222 (2018), 1606-1627.
Outer automorphism groups of simple Lie algebras and symmetries of painted diagrams (with M. Zhang), Forum Mathematicum 29 (2017), 555-562.
Admissible positive systems of affine Kac-Moody Lie algebras: The twisted cases (with R. Fioresi), Journal of Algebra 469 (2017), 390-401.
Dirac cohomology and geometric quantization (with J. S. Huang), Journal fur die Reine und Angewandte Mathematik 720 (2016), 33-50.
Erratum: Contragredient Supersymmetric Pairs (with M. Zhang), Journal of Mathematical Physics 57 (2016), 109901.
Admissible positive systems of affine non-twisted Kac-Moody Lie algebras (with R. Fioresi), Journal of Algebra 453 (2016), 561-577.
Hermitian real forms of contragredient Lie superalgebras (with R. Fioresi), Journal of Algebra 437 (2015), 161-176.
Partially harmonic forms and models of H-series, Journal of Functional Analysis 266 (2014), 2740-2764.
Contragredient supersymmetric pairs, Journal of Mathematical Physics 54 (2013), 091702.
Double Vogan diagrams and irreducible pseudo-Hermitian symmetric spaces, Mathematical Research Letters 20 (2013), 477-487.
Cartan automorphisms and Vogan superdiagrams, Mathematische Zeitschrift 273 (2013), 793-800.
Finite order automorphisms on contragredient Lie superalgebras, Journal of Algebra 351 (2012), 138-159.
Finite order automorphisms on real simple Lie algebras, Transactions of the American Mathematical Society 364 (2012), 3715-3749.
Double Vogan diagrams and semisimple symmetric spaces (with J. S. Huang), Transactions of the American Mathematical Society 362 (2010), 1721-1750.
Regular principal models of split semisimple Lie groups, Journal fur die Reine und Angewandte Mathematik 623 (2008), 195-211.
A quick proof of the equivalence classes of extended Vogan diagrams (with C. C. Hu), Journal of Algebra 313 (2007), 824-827.
Geometric quantization and Zuckerman models of semisimple Lie groups, Forum Mathematicum 19 (2007), 823-850.
The direct integral of some weighted Bergman spaces, Proceedings of the Edinburgh Mathematical Society 50 (2007), 115-122.
Extended Vogan diagrams (with C. C. Hu), Journal of Algebra 301 (2006), 112-147.
Symplectic induction and semisimple orbits, Bulletin of the London Mathematical Society 37 (2005), 446-458.
Equivalence classes of Vogan diagrams (with C. C. Hu), Journal of Algebra 279 (2004), 22-37.
Reinhardt domains and toric models, Michigan Mathematical Journal 51 (2003), 73-92.
Holomorphic discrete models of semisimple Lie groups and their symplectic constructions, Journal of Functional Analysis 175 (2000), 17-51.
Quantization, reduction, and flag manifolds, American Journal of Mathematics 122 (2000), 991-1016.
Holomorphic sections of prequantum line bundles on G/(P,P), Proceedings of the American Mathematical Society 128 (2000), 2795-2799.
Kahler structures and weighted actions on the complex torus, Journal of the London Mathematical Society 61 (2000), 937-949.
Kahler structures on complex torus, Journal of Geometric Analysis 10 (2000), 257-267.
Dolbeault cohomology of G/(P,P) (with L. P. Teo), Mathematische Zeitschrift 230 (1999), 595-602.
Holomorphic sections of prequantum line bundles on G/N, Michigan Mathematical Journal 45 (1998), 375-385.
The generalized Borel-Weil theorem and cohomology of G/(P,P), Indiana University Mathematics Journal 46 (1997), 117-131.
Kaehler structures on Kc/(P,P), Transactions of the American Mathematical Society 349 (1997), 3373-3390.
K-invariant Kaehler structures on Kc/N and the associated line bundles, Proceedings of the American Mathematical Society 124 (1996), 3481-3491.
Kaehler structures on Kc/N (with V. Guillemin), Contemporary Mathematics 154 (1993), 181-195.
年度獎項名稱頒獎單位
2009學術獎教育部
2003青年數學家獎中華民國數學會
2001傑出研究獎國科會
畢業年度姓名碩/博士班備註
2022黃孟凱碩士班
2019張家瑜碩士班
2016許家甄碩士班
2014王志豪碩士班
2012陳志興、張峰睿碩士班
2007劉筱凡碩士班交通大學
2006胡舉卿博士班交通大學
2006林采瑩、程千砡碩士班交通大學
2003許月偉、陳志奇碩士班交通大學
2001王見智碩士班交通大學
1998邱英璋碩士班交通大學
1995楊定揮碩士班交通大學