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email:
John.Nicholson@glasgow.ac.uk
Room 422, Mathematics and Statistics Building, Glasgow, G12 8QS
Personal webpage: https://www.maths.gla.ac.uk/~jnicholson/
Algebraic and geometric topology, as well as their interactions with areas of algebra such as group theory and integral representation theory.
Hambleton, I. and Nicholson, J. (2025) Four-manifolds, two-complexes and the quadratic bias invariant. arXiv, (doi: 10.48550/arXiv.2412.15089)
Nicholson, J. (2024) The cancellation property for projective modules over integral group rings. arXiv, (doi: 10.48550/arXiv.2406.08692)
Nicholson, J. (2024) Cancellation for (G,n)-complexes and the Swan finiteness obstruction. International Mathematics Research Notices, 2024(16), pp. 11832-11864. (doi: 10.1093/imrn/rnae141)
Nagy, C., Nicholson, J. and Powell, M. (2024) Simple homotopy types of even dimensional manifolds. arXiv, (doi: 10.48550/arXiv.2312.00322)
Nicholson, J. (2024) Projective modules and the homotopy classification of (G,n)-complexes. Algebraic and Geometric Topology, 24(4), pp. 2245-2284. (doi: 10.2140/agt.2024.24.2245)
Kasprowski, D., Nicholson, J. and Veselá, S. (2024) Stable equivalence relations on 4-manifolds. arXiv, (doi: 10.48550/arXiv.2405.06637)
Nicholson, J. (2023) Stably free modules and the unstable classification of 2-complexes. arXiv, (doi: 10.48550/arXiv.2108.02220)
Nicholson, J. (2021) A cancellation theorem for modules over integral group rings. Mathematical Proceedings of the Cambridge Philosophical Society, 171(2), pp. 317-327. (doi: 10.1017/S0305004120000237)
Nicholson, J. (2021) On CW-complexes over groups with periodic cohomology. Transactions of the American Mathematical Society, 374(9), pp. 6531-6557. (doi: 10.1090/tran/8411)
Hambleton, I. and Nicholson, J. (2025) Four-manifolds, two-complexes and the quadratic bias invariant. arXiv, (doi: 10.48550/arXiv.2412.15089)
Nicholson, J. (2024) The cancellation property for projective modules over integral group rings. arXiv, (doi: 10.48550/arXiv.2406.08692)
Nicholson, J. (2024) Cancellation for (G,n)-complexes and the Swan finiteness obstruction. International Mathematics Research Notices, 2024(16), pp. 11832-11864. (doi: 10.1093/imrn/rnae141)
Nagy, C., Nicholson, J. and Powell, M. (2024) Simple homotopy types of even dimensional manifolds. arXiv, (doi: 10.48550/arXiv.2312.00322)
Nicholson, J. (2024) Projective modules and the homotopy classification of (G,n)-complexes. Algebraic and Geometric Topology, 24(4), pp. 2245-2284. (doi: 10.2140/agt.2024.24.2245)
Kasprowski, D., Nicholson, J. and Veselá, S. (2024) Stable equivalence relations on 4-manifolds. arXiv, (doi: 10.48550/arXiv.2405.06637)
Nicholson, J. (2023) Stably free modules and the unstable classification of 2-complexes. arXiv, (doi: 10.48550/arXiv.2108.02220)
Nicholson, J. (2021) A cancellation theorem for modules over integral group rings. Mathematical Proceedings of the Cambridge Philosophical Society, 171(2), pp. 317-327. (doi: 10.1017/S0305004120000237)
Nicholson, J. (2021) On CW-complexes over groups with periodic cohomology. Transactions of the American Mathematical Society, 374(9), pp. 6531-6557. (doi: 10.1090/tran/8411)
https://orcid.org/0000-0002-5244-5453