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夏 杼 Eugene Zhu Xia
| | | 職稱 | 教授 |
| | 電話 | 06-2757575 轉 65159 |
| | 傳真 | 06-2743191 |
| | 辦公室 | 數學系館 401 |
| | 電子郵件 | ezxia[at]mail.ncku.edu.tw |
| | 個人網頁 | http://www.math.ncku.edu.tw/~xia |
| | 專長學門 | 代數幾何：黑格叢、表示簇；動態系統：映射類群作用 |
| | 學歷 | 馬里蘭大學博士 (1997)
依利諾大學碩士 (1989)
維吉尼亞理工學院學士 (1986) |
| | 經歷 | 2005– 成功大學數學系教授
2002–2005 成功大學數學系副教授
2000–2001 國家理論科學研究中心訪問助理教授
1999–2002 University of Massachusetts, Amherst 訪問助理教授
1997–1999 University of Arizona 訪問助理教授 |
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| 論文選輯 |
- Xia, EZ. Explicit connections with SU(2)-monodromy. FORUM MATHEMATICUM 21 (2009), no. 5, 827--832.
- Goldman, William M.; Xia, Eugene Z. Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces. Mem. Amer. Math. Soc. 193 (2008), no. 904, viii+69 pp.
- Tsai, Yen-Lung; Xia, Eugene Z. Non-abelian local invariant cycles. Proc. Amer. Math. Soc. 135 (2007), no. 8, 2365--2367 (electronic).
- Joshi, Kirti; Ramanan, S.; Xia, Eugene Z.; Yu, Jiu-Kang On vector bundles destabilized by Frobenius pull-back. Compos. Math. 142 (2006), no. 3, 616--630.
- Previte, Joseph P.; Xia, Eugene Z. Dynamics of the mapping class group on the moduli of a punctured sphere with rational holonomy. Geom. Dedicata 112 (2005), 65--72.
- Pickrell, Doug; Xia, Eugene Z. Ergodicity of mapping class group actions on representation varieties. II. Surfaces with boundary. Transform. Groups 8 (2003), no. 4, 397--402.
- Previte, Joseph P.; Xia, Eugene Z. Exceptional discrete mapping class group orbits in moduli spaces. Forum Math. 15 (2003), no. 6, 949--954.
- Xia, Eugene Z. The moduli of flat ${\rm U}(p,1)$ structures on Riemann surfaces. Special volume dedicated to the memory of Hanna Miriam Sandler (1960--1999).
- Pickrell, Doug; Xia, Eugene Z. Ergodicity of mapping class group actions on representation varieties. I. Closed surfaces. Comment. Math. Helv. 77 (2002), no. 2, 339--362.
- Markman, E.; Xia, E. Z. The moduli of flat ${\rm PU}(p,p)$-structures with large Toledo invariants. Math. Z. 240 (2002), no. 1, 95--109.
- Previte, Joseph P.; Xia, Eugene Z. Topological dynamics on moduli spaces. II. Trans. Amer. Math. Soc. 354 (2002), no. 6, 2475--2494 (electronic).
- Xia, Eugene Z. The moduli of flat ${\rm PU}(2,1)$ structures on Riemann surfaces. Pacific J. Math. 195 (2000), no. 1, 231--256.
- Joshi, Kirti; Xia, Eugene Z. Moduli of vector bundles on curves in positive characteristics. Compositio Math. 122 (2000), no. 3, 315--321.
- Previte, Joseph P.; Xia, Eugene Z. Topological dynamics on moduli spaces. I. Pacific J. Math. 193 (2000), no. 2, 397--417.
- Xia, Eugene Z. The moduli of flat ${\rm PGL}(2,R)$ connections on Riemann surfaces. Comm. Math. Phys. 203 (1999), no. 3, 531--549.
- Xia, Eugene Z. Components of ${\rm Hom}(\pi\sb 1,{\rm PGL}(2,\bold R))$. Topology 36 (1997), no. 2, 481--499.
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| 碩士班指導學生 |
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