Position #62 – Geometric topology

Host institution
KR - Korea Advanced Institute of Science and Technology (카이스트)
Lab or research department name
Geometry and Topology Laboratory
Domain
Mathematics
Sub-domain or keywords
Geometric structures on manifolds, orbifolds, discrete groups, deformation spaces
Type of mobility
doctoral
Duration (months)
From 6 months
Description

We are interested in studying low-dimensional manifolds and geometric structures on the manifolds and associated representations of the fundamental groups into Lie groups. The basic questions here are on the existences and deformation spaces of geometric structures on manifolds. This study helps us in studying the representations of discrete groups in Lie groups. Currently, we are working on deformation spaces of real projective structures on ndimensional
orbifolds and the representation space of the orbifold fundamental group to
PGL(n+1, R).

When
From January 2016
Maximum available positions
1
Prerequisites
Prerequisites are standard MA courses in pure mathematics with some emphasis on topology and differential geometry, and some experiences with CAS and graphics. Also, we will accept BA students in pure mathematics interested in the topics.
Contact
Suhyoung Choi <shchoixk@gmail.com>
URL
http://mathsci.kaist.ac.kr/~schoi/index.html