Projects per year

## Personal profile

### Education

- 2011 PhD, Department of Mathematics, University of California, Davis

### Research Interests

- Analysis
- Complex Geometry
- ifferential Geometry
- Mathematical Physics
- Topology

### Experience

- 2013~present Assistant Professor, National Cheng Kung University

## Fingerprint Dive into the research topics where Jia-Ming Liou is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 1 Similar Profiles

Moduli Space
Mathematics

Mean Field Equation
Mathematics

Genus
Mathematics

Hyperelliptic Curves
Mathematics

Grassmannian
Mathematics

Weierstrass Point
Mathematics

Moduli Space of Curves
Mathematics

Cycle
Mathematics

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

## Research Output 2012 2018

- 5 Citations
- 1 h-Index
- 6 Article

## An algebraic construction of solutions to the mean field equations on hyperelliptic curves and its adiabatic limit

Liou, J-M. & Liu, C-C., 2018 Jul, In : Proceedings of the American Mathematical Society. 146, p. 3693 3707 p.Research output: Contribution to journal › Article

Weierstrass Point

Mean Field Equation

Hyperelliptic Curves

Pi

Genus

1
Citation
(Scopus)

## Explicit Solutions to the mean field equations on hyperelliptic curves of genus two

Liou, J-M., 2018 Feb 1, In : Differential Geometry and its Application. 56, p. 173-186 14 p.Research output: Contribution to journal › Article

Mean Field Equation

Hyperelliptic Curves

Explicit Solution

Genus

Total curvature

## Weierstrass cycles in moduli spaces and the Krichever map

Liou, J-M. & Schwarz, A., 2017 Jan 1, In : Mathematical Research Letters. 24, 6, p. 1739-1758 20 p.Research output: Contribution to journal › Article

Moduli Space

Ring

Cycle

1
Citation
(Scopus)

## Weierstrass cycles and tautological rings in various moduli spaces of algebraic curves

Liou, J-M., Schwarz, A. & Xu, R., 2015 Jul 1, In : Journal of Fixed Point Theory and Applications. 17, 1, p. 209-219 11 p.Research output: Contribution to journal › Article

Algebraic curve

Moduli Space

Genus

Moduli Space of Curves

Ring

2
Citations
(Scopus)

## Moduli Spaces and Grassmannian

Liou, J. M. F. & Schwarz, A., 2013 Jun 1, In : Letters in Mathematical Physics. 103, 6, p. 585-603 19 p.Research output: Contribution to journal › Article

Moduli Space of Curves

Grassmannian

homology

Moduli Space

Weierstrass Point

## Thesis

## ASYMPTOTIC EXPANSION OF HERMITIAN MATRIX INTEGRAL

Author: 健宇, 廖., 2016 Sep 7Supervisor: Liou, J. (Supervisor)

Student thesis: Master's Thesis

## Some Estimations of The Eigenvalues of Laplacian On Compact Riemannian Manifolds

Author: 旭恩, 柯., 2017 Jun 23Supervisor: Liou, J. (Supervisor)

Student thesis: Master's Thesis

## Spectrum of Laplace operators on local systems over elliptic curves

Author: 柏文, 許., 2016 Aug 23Supervisor: Liou, J. (Supervisor)

Student thesis: Master's Thesis