• 152 Citations
  • 7 h-Index
1987 …2018
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Personal profile

Education

  • 1997 PhD, Department of Mathematics, University of Maryland

Research Interests

  • Dynamical Systems: Mapping Class Group Actions
  • Algebraic Geometry: Higgs Bundles
  • Representation Varieties

Experience

  • 2005~present Professor, National Cheng Kung University

Fingerprint Dive into the research topics where Eugene Zhu Xia is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 2 Similar Profiles
Mapping Class Group Mathematics
Modulus Mathematics
Moduli Space Mathematics
Genus Mathematics
Connected Components Mathematics
Holonomy Mathematics
Orbit Mathematics
Topological Dynamics Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Projects 2002 2018

基本群表示簇的拓撲和辛幾何

Xia, E. Z.

17-08-0118-07-31

Project: Research project

模空間的辛幾何和量子結構

Xia, E. Z.

16-08-0117-07-31

Project: Research project

模空間的德拉姆上同調

Xia, E. Z.

15-08-0116-07-31

Project: Research project

模空間的德拉姆上同調

Xia, E. Z.

14-08-0115-07-31

Project: Research project

特徵簇和格羅莫夫-威滕不變量

Xia, E. Z.

13-08-0114-07-31

Project: Research project

Research Output 1987 2018

  • 152 Citations
  • 7 h-Index
  • 21 Article
  • 2 Chapter
  • 1 Book
  • 1 Conference contribution

The algebraic de rham cohomology of representation varieties

Xia, E. Z., 2018 Jun 1, In : Canadian Journal of Mathematics. 70, 3, p. 702-720 19 p.

Research output: Contribution to journalArticle

De Rham Cohomology
Torus
Locus
Theorem
Family

The SU(2) -character variety of the closed surface of genus 2

Ho, N. K., Jeffrey, L. C., Nguyen, K. D. & Xia, E. Z., 2018 Feb 1, In : Geometriae Dedicata. 192, 1, p. 171-187 17 p.

Research output: Contribution to journalArticle

Character Variety
Moduli Space
Genus
Symplectic Geometry
Closed
2 Citations (Scopus)

Action of the Johnson-Torelli group on representation varieties

Goldman, W. M. & Xia, E. Z., 2012 Apr 1, In : Proceedings of the American Mathematical Society. 140, 4, p. 1449-1457 9 p.

Research output: Contribution to journalArticle

Torelli Group
Dehn Twist
Character Variety
Mapping Class Group
Symplectic Structure

Dehn twists and invariant classes

Xia, E. Z., 2012 Apr 1, In : Proceedings of the American Mathematical Society. 140, 4, p. 1173-1183 11 p.

Research output: Contribution to journalArticle

Dehn Twist
Invariant
Fibers
Torsional stress
Fiber

Geometry, topology and dynamics of character varieties

Xia, E. Z., 2012, Abelian and non-abelian cohomology. Goldman, W., Series, C. & Tan, S. P. (eds.). Hackensack, NJ, USA: World Scientific Publishing Co., Vol. 23. p. 309-349 364 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access