Tseleung So

Email: larry.so.tl@gmail.com

I completed my PhD in Mathematics under the supervision of Stephen Theriault at the University of Southampton in 2019. From 2019 to 2022, I was a PIMS postdoc fellow at the University of Regina, and from 2022 to 2024, I was a Postdoc Associate at the University of Western Ontario (aka the Western University). Currently, I am a visitor at the University of Southampton.

My research area lies in algebraic topology, where I use homotopy theory to explore various topics arising in topology and geometry. In particular I am interested in the homotopy theory of gauge groups (which are the topological groups of equivariant automorphisms of principal bundles), toric topology, polyhedral products, and the geometric realization problem of algebras.

You can find more about me by checking my CV here.

Publications:

(with Donald Stanley and Stephen Theriault) Weighted polyhedral products and Steenrod's problem, accepted by Research in the Mathematical Sciences, available at arXiv: 2306.01956
(with Steven Amelotte and Tyrone Cutler) Suspension splittings of 5-dimensional Poincare duality complexes and their applications, accepted by Algebraic and Geometric Topology, available at arXiv: 2311.16073
(with Xin Fu and Jongbaek Song) Cohomology bases of toric surfaces, Topology and its Applications, (2025), https://doi.org/10.1016/j.topol.2025.109392
(with Xin Fu, Jongbaek Song and Stephen Theriault) Homotopy rigidity for quasitoric manifolds over a product of d-simplices, Proceedings of the American Mathematical Society, 153, (2025) 1335 - 1347
(with Stephen Theriault) The suspension of a 4-manifold and its applications, Israel Journal of Mathematics, (2024), doi:10.1007/s11856-024-2659-0
(with Donald Stanley) Realization of graded monomial ideal rings modulo torsion, Algebraic and Geometric Topology, 23, (2023), 733 – 764.
(with Tyrone Cutler) The homotopy type of a once-suspended 6-manifold and its applications, Topology and its Applications, (2022), doi.org/10.1016/j.topol.2022.108213
(with Xin Fu and Jongbaek Song) Homotopy classification of four dimensional toric orbifolds, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152, (2021), 626 – 648
(with Stephen Theriault) The homotopy types of Sp(2)-gauge groups over closed, simply-connected four-manifolds, Proceedings of the Steklov Institute of Mathematics, 305, (2019), 287 – 304.
Homotopy types of SU(n)-gauge groups over non-spin 4-manifolds, Journal of Homotopy and Related Structures, 14, (2019), 787 – 811.
(with Sho Hasui, Daisuke Kishimoto and Stephen Theriault) Odd primary homotopy types of the gauge groups of exceptional Lie groups, Proceedings of the American Mathematical Society, 147, (2019), 1751 – 1762.
Homotopy types of gauge groups over non-simply-connected closed 4-manifolds, Glasgow Mathematical Journal, 61, (2019), 349 – 371.
The odd primary order of the commutator on low rank Lie groups, Topology and its Applications, 240, (2018), 210 – 227.

Preprints:

(with Xin Fu and Jongbaek Song) The integral cohomology rings of four-dimensional toric orbifolds, arXiv: 2304.03936
Steenrod operations for 4-dimensional toric orbifolds, arXiv: 2501.07907

Teaching

At the University of Western Ontario

Winter 2024 MATH 1600 Linear Algebra I

Fall 2022, Fall & Winter 2023 MATH 1228 Methods of Finite Mathematics

At the University of Regina

Summer & Fall 2021 MATH 213 Vector Calculus

Winter 2021 MATH 305 Introductory Mathematical Analysis

Fall 2020 MATH 313 Mathematical Analysis II

Summer 2020 MATH 111 Calculus II

Fall 2019 MATH 110 Calculus I

Page updated

Google Sites

Report abuse