Tseleung So
Email: tso28@uwo.ca Room 134, Middlesex College, University of Western Ontario, London ON N6A 5B7, Canada
I received my PhD at the University of Southampton in 2019 and worked as a PIMS postdoc fellow at the University of Regina from 2019 to 2022. Now I am a Postdoc Associate at the University of Western Ontario (aka the Western University).
My research area lies in algebraic topology and homotopy theory. In particular I am interested in the homotopy types of manifolds, gauge groups (the topological groups of equivariant automorphisms of principal bundles), toric topology, and the realization problem of commutative graded algebras.
You can find more about me by checking my CV here.
Publications:
(with Stephen Theriault) The suspension of a 4-manifold and its applications, accepted by Israel Journal of Mathematics, arXiv: 1909.11129
(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.
Homotopy theory of gauge groups over 4-manifolds, PhD Thesis, University of Southampton, (2019)
Preprints:
(with Xin Fu and Jongbaek Song) The integral cohomology rings of four-dimensional toric orbifolds, arXiv: 2304.03936
(with Donald Stanley and Stephen Theriault) Weighted polyhedral products and Steenrod's problem, arXiv: 2306.01956
(with Steven Amelotte and Tyrone Cutler) Suspension splittings of 5-dimensional Poincare duality complexes and their applications, arXiv: 2311.16073
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