夏杼, Eugene Z. Xia

Department of Mathematics
National Cheng-Kung University
Tainan 701, Taiwan

E-mail: eugenexia \at gmail \dot com 

---

Curriculum Vitae Publication list

---

Fall 2009 Schedule

Topology

Algebraic Geometry

---

Research interests

My current research interests are the moduli spaces of vector bundles and Higgs bundles on curves.

Publications:

· Parallel Waveform-Newton Algorithms for Circuit Simulation (with Resve Saleh)

· Components of Hom(pi_1, PGL(2,R))

· The Moduli of Flat PGL(2,R) Connections on Riemann Surfaces

· The Moduli of Flat PU(2,1) Structures on Riemann Surfaces

· The Moduli of Flat U(p,1) Structures on Riemann Surfaces

· The Moduli of Flat-PU(p,p) Structures with Large Toledo Invariants (with Eyal Markman)

· Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces (with W.M. Goldman)

· The Moduli of Vector Bundles on Curves in Positive Characteristics (with K. Joshi)

· Topological Dynamics on Moduli Spaces I (with J. P. Previte)

· Topological Dynamics on Moduli Spaces II (with J. P. Previte)

· Exceptional Discrete Mapping Class Group Orbits in Moduli Spaces (with J. P. Previte)

· Mapping Class Group Actions on Representation Varieties, I. Ergodicity (with D. Pickrell)

· Mapping Class Group Actions on Representation Varieties, II. Ergodicity (with D. Pickrell)

· On vector bundles destabilized by Frobenius pull-back (with K. Joshi, S. Ramanan, J.K. Yu)

· Strong Lefschetz property under reduction (with River Chiang)

· Explicit Connections with SU(2)-Monodromy

· Non-abelian Local Invariant Cycles (with Y. Tsai)

· Dynamics of the mapping class group on the moduli of a punctured sphere with rational holonomy (with J. P. Previte)

---

Essays and Travel Logs

· Tour of Europe

· Last Week in Paris

· Pseudoephedrine HCl

· Taiwan Album I, Taroko National Park

· Taiwan Album II, Dr. Sun Wen's Memorial

· China and Taiwan: Myth and Religion

· An Interview with Deep Blue

· Dream Mates in China

Film Reviews

· Breaking the Waves

· Burnt by the Sun

· Camille Claudel

· Contact

· Empire of the Sun

· The English Patient

· El Espiritu de la Colmena

· On Fellini

· Ikiru

· Shine

· Smiles of a Summer Night

· Starship Troopers

---

Chinese Traditional Medicine and Pseudoscience (Links)

Every year, billions of dollars are wasted on this pseudoscience by people who can ill afford to do so.

Traditional Medicine and Pseudoscience in China (Part I)

Traditional Medicine and Pseudoscience in China (Part II)

Cargo Cult Science by Richard Feynman

Committee for Skeptical Inquiry

What’s New? by Robert Park.

---

Mathematical Institutions

• American Mathematical Society
• L'Institut des Hautes Etudes Scientifiques
• National Center for Theoretical Sciences
• Department of Mathematics at the University of Arizona, Tucson
• Department of Mathematics at the University of Maryland, College Park
• Department of Mathematics at the University of Massachusetts, Amherst

---

The World was all before them, where to choose
Thir place of rest, and Providence thir guide:
They hand in hand with wandring steps and slow,

Through Eden took thir solitarie way.

--- John Milton

---