Projects per year

## Fingerprint Fingerprint is based on mining the text of the experts' scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

- 1 Similar Profiles

Triangulation
Engineering & Materials Science

Metric
Mathematics

Geometry
Engineering & Materials Science

Conformal mapping
Engineering & Materials Science

Curvature
Mathematics

Curvature Flow
Mathematics

Topology
Engineering & Materials Science

Ricci Flow
Mathematics

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

## Projects 2009 2020

## Collaborative Research: Atd: Theory And Algorithms For Discrete Curvatures On Network Data From Human Mobility And Monitoring

National Science Foundation (NSF)

8/15/17 → 7/31/20

Project: Research project

Proteins

Geometry

Monitoring

Embedded systems

Computer science

## Geometry And Topology Of Polyhedral Surfaces

National Science Foundation (NSF)

7/15/14 → 6/30/17

Project: Research project

Uniformization

Topology

Conformal Geometry

Theorem

Discrete Geometry

## Collaborative Research: Atd: Algorithmic Aspects Of Geometry For Using Lidar And Wireless Sensor Networks For Combating Chemical Terror Attacks

National Science Foundation (NSF)

9/1/12 → 8/31/15

Project: Research project

Chemical attack

Optical radar

Wireless sensor networks

Geometry

Sensors

## Volume Optimization On Triangulated 3-Manifolds.

National Science Foundation (NSF)

8/15/11 → 7/31/14

Project: Research project

Optimization

Triangulation

Ricci Flow

Normal Surface

Topology

## Collaborative Research: Ccf-Tf: Computing Geometric Structures Of 3-Manifolds

National Science Foundation (NSF)

7/1/09 → 6/30/12

Project: Research project

Geometric Structure

Computing

Riemannian Metric

Obstruction

Energy

## Research Output 1988 2018

## A discrete uniformization theorem for polyhedral surfaces

Gu, X. D., Luo, F., Sun, J. & Wu, T., Jun 1 2018, In : Journal of Differential Geometry. 109, 2, p. 223-256 34 p.Research output: Contribution to journal › Article

Uniformization

Metric

Theorem

Curvature

Variational Principle

4
Citations
(Scopus)

## A discrete uniformization theorem for polyhedral surfaces II

Gu, X., Guo, R., Luo, F., Sun, J. & Wu, T., Jul 1 2018, In : Journal of Differential Geometry. 109, 3, p. 431-466 36 p.Research output: Contribution to journal › Article

Uniformization

Metric

Theorem

Discrete Curvature

Hyperbolic Metric

1
Citation
(Scopus)

## Volume and rigidity of hyperbolic polyhedral 3-manifolds

Luo, F. & Yang, T., Mar 1 2018, In : Journal of Topology. 11, 1, p. 1-29 29 p.Research output: Contribution to journal › Article

Rigidity

Metric

Isometry

Curvature

Gluing

## A new combinatorial class of 3-manifold triangulations

Luo, F. & Tillmann, S., Jan 1 2017, In : Asian Journal of Mathematics. 21, 3, p. 543-570 28 p.Research output: Contribution to journal › Article

Triangulation

Topology

Minimality

Circle

Restriction

## Pseudo-developing maps for ideal triangulations II: Positively oriented ideal triangulations of cone-manifolds

Casella, A., Luo, F. & Tillmann, S., Jan 1 2017, In : Proceedings of the American Mathematical Society. 145, 8, p. 3543-3560 18 p.Research output: Contribution to journal › Article

Triangulation

Cones

Cone

Genus

Parameterization