Bio

Research Interest/Background

"If I have seen further, it is by standing upon the shoulders of giants."

I am interested in representation theory, categorification, aspects of homological algebra: interplay between topology, symplectic geometry and category of representations of algebras, knot invariant from braid group actions.♾〰️➰➿

I am an associate fellow of the Higher Education Academy.

I was a member of AIM Link Homology research community.

Employment History

命里有时终须有，命里无时莫强求

1. Assistant Professor at Department of Mathematics and Applied Mathematics, Room  448, Block A4, Xiamen University Malaysia, Jalan Sunsuria, Bandar Sunsuria, 43900 Sepang, Selangor Darul Ehsan, Malaysia. March 2023 - Current.

2. Lecturer in Mathematics at Department of Mathematics and Applied Mathematics, Room  448, Block A4, Xiamen University Malaysia, Jalan Sunsuria, Bandar Sunsuria, 43900 Sepang, Selangor Darul Ehsan, Malaysia. August 2022 - March 2023.

3. PhD student at Mathematical Sciences Institute, Room 2.54, Hanna Neumann, Building #145, Science Road, Acton ACT 2601, Australia. February 2018 - March 2022.

Publications

" Wir mussen wissen. Wir werden wissen."

• "Comparative Analysis of Kinetic Model-Fitting Methods and Selection Priority for Horse Manure Pyrolysis. " (with Guo Ren Mong et al. )
  Sustainable Chemistry and Pharmacy, volume 39:101590. DOI:  10.1016/j.scp.2024.101590 . Publication Date: June 2024.

• "Curves in the Disc, the Type B Braid Group, and the Type B Zigzag Algebra." (with Edmund Heng) ArXiv:1911.12955. 

Quantum Topol. 15 (2024), no. 2, pp. 337–417. DOI: 10.4171/QT/198. Publication Date: 23 November 2023.

• "Faithfulness of the 2-braid group via zigzag algebra in type B." (with Edmund Heng) ArXiv:2302.09329 .

 Journal of the Australian Mathematical Society, 2024;117(1):67-84. DOI:10.1017/S1446788723000137   Published online by Cambridge University Press:  27 October 2023.  

• "From Homological Algebra To Topology via Type B Zigzag Algebra and Heisenberg Algebra." ArXiv:2302.09354.

PhD Thesis. The Australian National University. March 2022.

• "Representations of  sln(C), the Weyl Group, the Root Lattice, and Linear Braids." 

Undergraduate Honours Thesis. The Australian National University. October 2017.

Contributions to Science

• Acknowledgement - "For insightful discussion on the analytical derivation of eigenfrequencies based on the temporal coupled-mode theory."
  
  "Mode management in Bottom-Up, Parity-Time-Symmetric Micro-Cavity Lasers"  by Wei Wen Wong et al.
  Laser & Photonics Reviews, DOI: 10.1002/lpor.202400222. Publication Date: 27 July 2024.

Presentation

1. XMU-XMUM Joint Seminar. "Categorification: Geometric Representation Theory through Link Perspective.". Video Recording. Written Slides. 

2. XMUM Mathematics Research Seminar: "Ideas on "From Homological Algebra to Topology".". Video Recording. Written Slides. 

3. 
   

4. 【20 minutes Lecture】Representation of Finite Groups - Slides, Video.

5. 【20 minutes Research Talk】Higher Representation Theory and Topology - Slides, Video.

6.  Seminar Talk. "Monster and Categorification," The Australian National University, 19th March 2021. Video Recording. Written Slides.

Conferences/Seminars

Coming/Ongoing Events

1. "Western Hemisphere Colloquium on Geometry and Physics," Online, October 2020 - ongoing.

2. " [K-OS] Knot Online Seminar," Online, April 2020 - ongoing.

3. "Online Geometry Seminar,"Online,  April 2020 - ongoing.

Past Events

1. Event Co-Organiser. "Dynamical Systems in Triangulated Categories and Surfaces," online, 7th June - 2nd July 2021.

2. Poster Presenter. "New Connections in Representation Theory, in Mooloolaba," Queensland, 10-14th February 2020.

Poster.

3. Seminar Talk."Categorified Braid Group Action 1: Khovanov-Seidel's Curves and ZigZag Algebra," The Australian National University, 13th August 2019.

Written Notes.

4. "Braids," ICERM, 1st Feb - 6th May 2022.

5. "5th Australian Algebra Conference." Online, hosted by the Centre for the Mathematics of Symmetry and Computation, the University of Western Australia, 17 -19th November 2021.

6. "AustMS 2021." Zoom & University of Newcastle, NSW, 7-10th December 2021.

7. "Australian Kittens 2021: A Meeting of Early Career Researchers in Category Theory and Homotopy Thepry," Online, 2nd - 3rd December 2022.

8. "Foam Evaluations," ICERM virtual, 5 -7th November 2021.

9. "GCS: Kick-Off Meeting," Simons Collaboration on Global Categorical Symmetries, 11-13th October 2021.

10. "Representation Theory's Hidden Motives", Conference at Münster and Sydney, 27th September - 1st October 2021.

11. "NU Geometry & Physics Seminar", online, Fall 2018 - Spring 2021

12. "Categorical Braid Group Actions and Categorical Representation Theory", online, 14 -18th June 2021

13. "Categorification Learning Seminar",  online, May 2020 - May 2021

14. "QUACKS - QUAntum groups, Categorification, Knot invariants, and Soergel bimodules", online, 10-14th August 2020

15. "Triangulated Categories in Geometry and Representation Theory," Sydney, 24-28th June 2019.

16. "Kiola Conference", 18 - 22nd February 2019.