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Dr Guo Chuan Thiang

Telephone +61 8 8313 4762
Position Research Associate
Email guochuan.thiang@adelaide.edu.au
Fax +61 8 8313 3696
Building Ingkarni Wardli Building
Floor/Room 7 20
Campus North Terrace
Org Unit Mathematical Sciences

To link to this page, please use the following URL:
http://www.adelaide.edu.au/directory/guochuan.thiang

Biography/ Background

I completed a DPhil in mathematics at the University of Oxford in December 2014 (conferred March 2016). Prior to this, I studied physics and mathematics at the National University of Singapore and the University of Cambridge.

I am currently an ARC postdoctoral research associate at the Institute for Geometry and its Applications, University of Adelaide, specialising in mathematical physics. 

I was awarded a University of Adelaide Research Fellowship for 2018.

From 2017, I will be on an ARC DECRA Fellowship.



Research Interests

My research is focussed on the applications of topological K-theory, differential topology, operator algebras, and noncommutative geometry to the phenomena of topological phases of matter in condensed matter physics. My contributions include the rigorous analysis and clarification of the general classification problem for topological insulating phases, and more recently, the classification of topological semimetal phases.

I am also interested in the mathematical structures underlying T-duality and the analysis of D-branes in string theory, and finding their analogues in the condensed matter setting. For instance, I introduced the notion of T-duality of topological insulators in a paper with V. Mathai. Together with K. Hannabuss, we demonstrated the conceptual and computational utility of T-duality in simplifying and providing geometric intuition for bulk-boundary correspondence for topological insulators.

I am currently investigating the global topology of semimetallic band structures through techniques in generalised degree theory. These have the potential to realise exotic topologically stable fermions which are characterised by subtle topological invariants. In particular, there are intriguing links between semimetal topology, and Seiberg-Witten invariants and torsions of manifolds.

I am also interested in the possibility of using K-theoretic and T-duality techniques to study bosonic analogues of topological insulators, and its string theory implications.

Previously, I dabbled in algebraic quantum field theory, and was a researcher in quantum information theory at the Centre for Quantum Technologies, National University of Singapore. 

 

Events

I am organising a conference on mathematical topics at the interface of string theory, condensed matter physics, K-theory, operator algebras, and geometry. [Website]

I am co-organising the Australia-China conference in noncommutative geometry and related areas in December 2017. [Website]



Publications

  • Global topology of Weyl semimetals and Fermi arcs (with V. Mathai). Journal of Physics A: Mathematical and Theoretical (Letter), 50(11) 11LT01 (2017). [1607.02242] publicity at JPhys+
  • T-duality simplifies bulk-boundary correspondence: the parametrised case (with K. Hannabuss and V. Mathai). Advances in Theoretical and Mathematical Physics, 20(5) 1193-1226 (2016). [1510.04785]
  • T-duality simplifies bulk-boundary correspondence: some higher dimensional cases (with V. Mathai). Annales Henri Poincaré, 17(12) 3399-3424 (2016)[1506.04492]
  • T-duality simplifies bulk-boundary correspondence (with V. Mathai). Communications in Mathematical Physics, 305(2) 675-701 (2016) [1505.05250]
  • On the K-theoretic classification of topological phases of matter. Annales Henri Poincaré 17(4) 757-794 (2016)[1406.7366]
  • T-duality of topological insulators (with V. Mathai). Journal of Physics A: Mathematical and Theoretical (Fast Track Communication), 48 42FT02 (2015), [1503.01206] 
    publicity at IOPSCIENCE
  • Topological phases: isomorphism, homotopy and K-theory. International Journal of Geometric Methods in Modern Physics. 12, 1550098 (2015), [1412.4191]
  • Degree of Separability of Bipartite Quantum States. Physical Review A 82(1) 012332 (2010)
  • Optimal Lewenstein-Sanpera Decomposition for two-qubit states using Semidefinite Programming (with B.-G. Englert and P. Raynal). Physical Review A 80(5) 052313 (2009)
  • Preprints

  • Differential topology of semimetals (with V. Mathai), [1611.08961]
  • T-duality simplifies bulk-boundary correspondence: the general case (with K. Hannabuss and V. Mathai), [1603.00116]
  • Files

    Entry last updated: Sunday, 5 Mar 2017

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