Eugene Zhu Xia  (ŪLŠV)
RankProfessor
Tel+886-6-2757575 Ext. 65159
Fax+886-6-2743191
OfficeMath Building 401
Emailezxia@mail.ncku.edu.tw
Homepagehttp://www.math.ncku.edu.tw/~xia
FieldAlgebraic Geometry: Higgs Bundles, Representation Varieties; Dynamical Systems: Mapping Class Group Actions
EducationPh.D., University of Maryland (1997)
M.S., University of Illinois, Urbana (1988)
B.S., Virginia Polytechnic Institute and State University (1986)
Experience2002-  Associate Professor, National Cheng Kung University
2000-2001  Visiting Assistant Professor, NCTS
1999-2002  Visiting Assistant Professor, University of Massachusetts, Amherst
1997-1999  Visiting Assistant Professor, University of Arizona
Selective Publication
  1. Dynamics of the Mapping Class Group on the Moduli of Punctured Sphere with Rational Holonomy (With J. Previte). To appear in Geom. Dedicata.


  2. Xia, Eugene Z. The Moduli of Flat U(p,1) Structures on Riemann Surfaces, Geometriae Dedicata. 97 (2003), 33--43.


  3. Previte, Joseph P.; Xia, E. Z. Discrete Mapping Class Group Orbits in Moduli Spaces, Forum Mathematicum, 15 (2003), 949--954.


  4. E. Z. Xia, Ergodicity of mapping class group actions on representation varieties, II, Surfaces with Boundary, Transformation Groups. 8 (2003), 397--402.


  5. 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.


  6. 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.


  7. Previte, Joseph P.; Xia, Eugene Z. Topological dynamics on moduli spaces. II. Trans. Amer. Math. Soc. 354 (2002), no. 6, 2475--2494 (electronic).


  8. Joshi, Kirti; Xia, Eugene Z. Moduli of vector bundles on curves in positive characteristics. Compositio Math. 122 (2000), no. 3, 315--321.


  9. Xia, Eugene Z. The moduli of flat ${\rm PU}(2,1)$ structures on Riemann surfaces. Pacific J. Math. 195 (2000), no. 1, 231--256.


  10. Previte, Joseph P., Xia, Eugene Z. Topological dynamics on moduli spaces. I. Pacific J. Math. 193 (2000), no. 2, 397--417.


  11. Xia, Eugene Z. The moduli of flat ${\rm PGL}(2, R)$ connections on Riemann surfaces. Comm. Math. Phys. 203 (1999), no. 3, 531--549.


  12. Xia, Eugene Z. Components of ${\rm Hom}(\pi\sb 1,{\rm PGL}(2,\bold R))$, Topology 36 (1997), no. 2, 481--499.