潘戍衍 - 台湾清华大学

个人简介

學歷美國康乃爾大學, 數學系, 博士 1998 美國康乃爾大學, 數學系, 碩士 1994 台灣大學數學系, 數學系, 學士 1989 經歷國立清華大學, 數學系, 教授, 2017- 國立清華大學, 數學系, 副教授, 2005-2017 國立成功大學, 數學系, 副教授, 2002-2005 國立成功大學, 數學系, 助理教授, 1999-2002 美國馬里蘭大學, 數學系, Research Associate, 1998-1999 指導學生就學中, 博士班, 陳義煌 2016, 碩士班, 辜銘壕 2013, 碩士班, 俞若婷 2010, 碩士班, 黃振彥 2009, 碩士班, 歐陽遠婷, 林勇志 2008, 碩士班, 徐健哲 2005, 碩士班, 劉玉蓮（成大） 2004, 碩士班, 何岳勳（成大） 2003, 碩士班, 高鳳珠, 洪志瑋（成大）

研究领域

群表現理論

近期论文

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Ranks and finite theta correspondences, in preparation. 2. On theta and eta correspondences for finite unitary dual pairs, preprint (24 pages), 2020, arXiv:2007.10635. 3. On theta and eta correspondences for finite symplectic/orthogonal dual pairs, preprint (38 pages), 2020, arXiv:2006.06241. 4. Lusztig correspondence and Howe correspondence for finite reductive dual pairs, preprint (62 pages), 2019, arXiv:1906.01158. 5. Howe correspondence of unipotent characters for a finite symplectic/even-orthogonal dual pair, preprint (36 pages), 2019, arXiv:1901.00623. 6. Decomposition of the uniform projection of the Weil character, preprint (64 pages), 2019, arXiv:2007.15768. 7. Supercuspidal representations and preservation principle of theta correspondence, J. Reine Angew. Math. 750 (2019), 1-52. 8. L-functoriality for local theta correspondence of supercuspidal representations with unipotent reduction, Canadian J. Math. 69 (2017), 186-219. 9. Weil representations of finite symplectic groups and finite odd-dimensional orthogonal groups, J. Algebra 453 (2016), 291-324. 10. Nilpotent orbit correspondence for real reductive dual pairs of symplectic and orthogonal groups, Pacific J. Math. 248 (2010), no. 2, 403-427. 11. Local theta correspondences for small unitary groups, Trans. Amer. Math. Soc. 358 (2006), 1511-1535. 12. Local theta correspondence and minimal K-types of positive depth, Israel J. Math. 138 (2003), 317-352. 13. Depth preservation in local theta correspondence, Duke Math. J. 113 (2002), 531-592. 14. Local theta correspondence of depth zero representations and theta dichotomy, J. Math. Soc. Japan 54 (2002), 793-845. 15. Splittings of metaplectic covers of some reductive dual pairs, Pacific J. Math. 199 (2001), 163-226.