Mr Hao Guo

Mr Hao Guo
  • Biography/ Background

    Hao qualified for a Ph.D. in pure mathematics in August 2018 under the supervision of Elder Prof. Mathai Varghese and Dr. Hang Wang.

    He was co-organiser of the June 2018 IGA Workshop "Index Theory and Applications to Positive Scalar Curvature and Related Areas". http://www.iga.adelaide.edu.au/workshops/IndexTheory2018/.

  • Qualifications

    Ph.D. in Pure Mathematics - the University of Adelaide.

    B.Sc. Honours Class I - the University of Sydney.

  • Awards & Achievements

    2018: Dean's Commendation for Doctoral Thesis Excellence.

    2016: The B.H. Neumann Prize for the best student talk at the 60th meeting of the Australian Mathematical Society. http://www.austms.org.au/The+Bernhard+Neumann+Prize.

  • Research Interests

    Hao is interested in equivariant index theory, K-theory, functional analysis, noncommutative geometry, operator algebras and the representation theory of Lie groups.

  • Research Funding

    • Walter & Dorothy Duncan Trust Travel Grant (2017).
    • AustMS Travel Grant (Student Support Scheme) (2016).
    • The University of Adelaide Faculty of Engineering, Computer and Mathematical Sciences Faculty Full Divisional Scholarship (2016). 
  • Publications

    • H. Guo. Index of Equivariant Callias-Type Operators and Invariant Metrics of Positive Scalar Curvature. 2018. (Submitted, 51 pages.)
    • H. Guo. A Poincaré Duality in K-theory. Australian Mathematical Society Gazette, 44. 2017. No. 1, 36-38. (3 pages.)
    • H. Guo, V. Mathai and H. Wang. Positive Scalar Curvature and Poincaré Duality for Proper Actions. 2016. (To appear in Journal of Noncommutative Geometry, 47 pages.)
  • Professional Associations

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Entry last updated: Tuesday, 14 Aug 2018