Dr. Kwok-Wing Tsoi
Project Assistant Professor (Teaching),
Department of Mathematics, NTU.
Dr. Kwok-Wing Tsoi
Project Assistant Professor (Teaching),
Department of Mathematics, NTU.
About me.
I am an algebraic number theorist working in Iwasawa theory and on (equivariant) leading term conjectures for L-functions in arithmetic geometry.
Teaching is a crucial part of my academic identity, and I am a two-time recipient (2021 & 2026) of the NTU Distinguished Teaching Award(臺大教學傑出獎). Alongside my research, I am actively engaged in university mathematics education, particularly large-scale Calculus teaching, English-medium instruction, the training of teaching assistants, and the use of AI in mathematical learning.
In the 2026–27 academic year, I serve as the chief coordinator of NTU’s university-wide Calculus courses.
Specialisations of the Burungale-Castella-Skinner main conjecture to Z_p-lines,
with K.-S. Tan and F. Trihan,
submitted. (arXiv:2608.26791)
Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields,
with K.-S. Tan and F. Trihan,
submitted. (arXiv:2603.11615)
A mixed-methods study on AI-usage frequency and instructor intervention in large calculus classes,
with K.-H. Shao,
submitted.
On a Birch and Swinnerton-Dyer type conjecture for the Hasse-Weil-Artin L-functions in characteristic p>0,
with W. Kim, K.-S. Tan and F. Trihan,
submitted. (arXiv:2411.12404)
The μ-invariant change for abelian varieties over finite p-extensions of global fields,
with K.-S. Tan and F. Trihan,
Research in the Mathematical Sciences, Volume 12, 70 (44 pages), 2025. DOI.
Calculus : Applications in Constrained Optimization (Book),
with Y.-J. Tsai,
NTU Press (ISBN : 9786267768112), 1st edition (204 pages), 2025. (Link)
On non-abelian higher special elements of p-adic representations,
with D. Macias Castillo,
Israel Journal of Mathematics, 248, 95–147 (53 pages), 2022. DOI.
On higher special elements of p-adic representations,
with D. Burns and T. Sano,
International Mathematics Research Notices, Volume 2021, Issue 20, October 2021, Pages 15337–15411 (74 pages). DOI.
On generalised Kummer congruences and higher rank Iwasawa theory at arbitrary weights,
Tokyo Journal of Mathematics 42 (2), 2019, 585-610 (25 pages). (Link)
On special elements for p-adic representations and higher rank Iwasawa theory at arbitrary weights,
King's College London (Ph.D. Thesis), 2018 (Link)