Johnny Lim Khai Yang


Dr Johnny Lim Khai Yang
PhD Mathematics, University of Adelaide
MSc Mathematics, Australian National University
BSc Mathematics, Universiti Sains Malaysia

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SCOPUS AUTHOR ID: 57210375226




Johnny Lim has joined Universiti Sains Malaysia in mid-November 2019. He was a Ph.D. student of Elder Professor Mathai Varghese. He is particularly interested in K-theory and Index theory. His previous work involves the formulation of an analytic Pontryagin duality pairing between circled-valued K-theory and K-homology, which describes the Aharonov-Bohm in Type-IIB String theory in physics.

He is currently working on possible generalizations in this direction, such as the equivariant case and the non-compact case, with goal to find a link to the projective index theory of Mathai-Melrose-Singer.

     Research Interest:
  • Index theory, K-theory, K-homology, differential geometry and topology.

Selected publications:

Analytic Pontryagin duality, J. Geom. Phys. 145, 103483





Research Grants (Applying)
Possible Research Title
  1. Equivariant R/Z index theory
  2. Geometric pairing on non-compact manifolds


List of publications:

Published papers:

  1. Analytic Pontryagin duality, J. Geom. Phys. 145, 103483.



Invited speaker:

  1. Autumm Operator Algebra Program @East China Normal University (ECNU), China
    Date: 26/10/2019 – 29/10/2019
    Title: Analytic Pontryagin duality
  2. Analysis on Manifolds @The University of Adelaide, Australia
    ate: 30/09/2019 – 4/10/2019
    Title: Analytic Pontryagin duality
  3. Index theory, Duality and Related Fields @Chern Institute of Mathematics, Tianjin,China
    Date: 17/06/2019 – 21/06/2019
    Title: Analytic Pontryagin duality in K-theory




  1. Elsevier Young Scientist Award 2019. For the best student talk at the “Index theory, Duality, and Related Fields” at Chern Institute of Mathematics, Tianjin, China on June 17-21, 2019. (Unanimous votes of 4 international judges)
  2. Dean’s commendation for Doctoral Thesis Excellence. For the quality of work produced in his Ph.D. thesis, awarded in Nov 2019.


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