Preprints:

1.  Archimedean l-groups with strong unit: cozero-sets and coincidence of types of ideals, joint with P. Bhattacharjee, A. W. Hager, and W. Wm. McGovern. (https://arxiv.org/abs/2404.18752)

2.  Sufficiently many projections in archimedean vector lattices with weak unit, joint with A. W. Hager. (https://arxiv.org/abs/2404.17628)

Published papers:

1.  A. W. Hager, B. Wynne, Hereditarily projectable Archimedean lattice-ordered groups with unit, Quaestiones Mathematicae 47 (2024), S179-S193. (https://www.tandfonline.com/doi/abs/10.2989/16073606.2023.2287836)

2. A. W. Hager, B. Wynne, The Freudenthal spectral theorem and sufficiently many projections in Archimedean vector lattices, Positivity 28 (2024), no. 2, Article 15. (https://link.springer.com/article/10.1007/s11117-024-01033-8)

3.  A. W. Hager, B. Wynne, alpha-projectable and laterally alpha-complete Archimedean lattice-ordered groups with weak unit via topology, CGASA 20 (2024), no. 1, 131-153. (https://cgasa.sbu.ac.ir/article_104087.html)

4. B. Wynne, New axioms for the lattice-ordered groups existentially closed in W^+,  Fundamenta Mathematicae 263 (2023), no. 1, 91-104. (https://www.impan.pl/en/publishing-house/journals-and-series/fundamenta-mathematicae/online/115156/new-axioms-for-the-lattice-ordered-groups-existentially-closed-in-mathbf-w)

5. A. W. Hager, B. Wynne, On minimum proper essential extensions in a category, Quaestiones Mathematicae 46 (2023), no. 3, 495-512. (https://www.tandfonline.com/doi/pdf/10.2989/16073606.2022.2033870)

6. A. W. Hager, B. Wynne, The category of compactifications and its coreflections, Commentationes Mathematicae Universitatis Carolinae 63 (2022), no. 3, 365-378.  (https://cmuc.karlin.mff.cuni.cz/)

7. A. W. Hager, B. Wynne, Minimum proper extensions in some lattices of subalgebras, Algebra Universalis 83 (2022), no. 3, Paper No. 30, 21 pp. (https://link.springer.com/article/10.1007/s00012-022-00784-3)

8. B. Wynne, Construction of existentially closed Abelian lattice-ordered groups using Fraisse limits, Algebra Universalis 82 (2021), no. 1, Paper No. 18, 22pp. (https://link.springer.com/article/10.1007/s00012-020-00706-1)

9. A. W. Hager, B. Wynne, Atoms in the lattice of covering operators in compact Hausdorff spaces, Topology and its Applications 289 (2021), Paper No. 107402, 9pp. (https://www.sciencedirect.com/science/article/abs/pii/S0166864120303448)

10. B. Wynne, Construction of existentially closed Abelian lattice-ordered groups using upper extensions, Algebra Universalis 79 (2018), no. 3, Paper No. 51, 27pp. (https://link.springer.com/article/10.1007/s00012-018-0531-y)

11. D. Saracino, B. Wynne, The 2-color Rado Number of x+y+kz=3w, Ars Combinatoria 90 (2009), 119-127. (https://combinatorialpress.com/ars/vol90/)

12. B. Wynne, The elementary-equivalence classes of clopen algebras of P-spaces, Fundamenta Mathematicae 201 (2008), no. 2, 149-161. (https://www.impan.pl/en/publishing-house/journals-and-series/fundamenta-mathematicae/all/201/2/89036/the-elementary-equivalence-classes-of-clopen-algebras-of-p-spaces)

13. B. Wynne, Decidable theories of non-projectable l-groups of continuous functions, Annals of Pure and Applied Logic 146 (2007), no. 1, 21-39. (https://www.sciencedirect.com/science/article/pii/S0168007207000036)