Papers

 

Here is a collection of my papers and preprints. Clicking on “pdf” will take you to a page where you can download the paper. Please email me with any questions or comments.

Published (and accepted) papers

1. Will Boney, Tameness from Large Cardinal Axioms, Journal of Symbolic Logic, vol 79, no 4, Dec 2014, 1092-1119. publisher version pdf arXiv
2. Will Boney and Rami Grossberg, Forking in Short and Tame Abstract Elementary Classes, Annals of Pure and Applied Logic, vol 168, no 8, 2017, 1517-1551. publisher version pdf arXiv
3. Will Boney, Tameness and Extending Frames, Journal of Mathematical Logic, vol 14, no 2, 2014. publisher version pdf arXiv
4. Will Boney, Computing the Number of Types of Infinite Length,
   Notre Dame Journal of Formal Logic, vol 58, no 1, 2017, 133-154, publisher version pdf arXiv
5. Will Boney, Rami Grossberg, Alexei Kolesnikov, and Sebastien Vasey. Canonical Forking in AECs,
   Annals of Pure and Applied Logic, vol 167, no 7, 2016, 590-613, publisher version, pdf arXiv
6. Will Boney and Sebastien Vasey, Tameness and Frames Revisited, Journal of Symbolic Logic, vol 82, no 3, 2017, 995–1021, publisher version, pdf arXiv.
7. Will Boney, A Presentation Theorem for Continuous Logic and Metric Abstract Elementary Classes, Mathematical Logic Quarterly, vol 63, no 5, 2017, 397–414, publisher version, pdf arXiv.
8. Will Boney and Sebastien Vasey, Chains of Saturated Models in AECs, Archive for Mathematical Logic, vol 56, no 3, 2017, 187-213, publisher version pdf arXiv
9. Will Boney and Spencer Unger, Large Cardinal Axioms from Tameness in AECs, Proceedings of the American Mathematical Society, vol. 145, no 10, 2017, 4517-4532, publisher version pdf arXiv.
10. Will Boney, Rami Grossberg, Michael Lieberman, Jiri Rosicky and Sebastien Vasey. \mu-Abstract Elementary Classes and other generalizations, Jornal of Pure and Applied Algebra, vol 220, issue 9, Sep 2016, 3048-3066, publisher version pdf arXiv
11. John Baldwin and Will Boney, Hanf Numbers and Presentation Theorems in AECs, Beyond First Order Model Theory (José Iovino ed.), CRC Press (2017), 327–352. pdf arXiv
12. Will Boney and Sebastien Vasey, A Survey on Tame Abstract Elementary Classes, Beyond First Order Model Theory (José Iovino ed.), CRC Press (2017), 353–427. pdf arXiv
13. Will Boney and Sebastien Vasey, Good Frames in the Hart-Shelah Example, Archive for Mathematical Logic, vol 57, no 5-6, Aug 2018, 687–712, publisher version, pdf arXiv.
14. Will Boney, Rami Grossberg, Monica VanDieren, and Sebastien Vasey, Superstability from Categoricity in Abstract Elementary Classes, Annals of Pure and Applied Logic, vol 168, no 7, July 2017, 1383-1395, publisher version pdf arXiv
15. Will Boney and Sebastien Vasey, Structural Logic and Abstract Elementary Classes with Intersections, Bulletin of the Polish Academy of Sciences Mathematics, vol 67, no 1, 2019, 1-17, publisher version pdf arXiv.
16. Will Boney, Model Theoretic Characterizations of Large Cardinals, Israel Journal of Mathematics, vol 236, 2020, 133-181. publisher version pdf arXiv
17. Nathanael Ackerman, Will Boney and Sebastien Vasey, Categoricity in Multiuniversal Classes, Annals of Pure and Applied Logic, vol. 170, no 11, 2019, 102712, publisher version pdf arXiv, 1-13.
18. Will Boney, Michael Lieberman, Tameness, Powerful Images, and Large Cardinals, Journal of Mathematical Logic, vol 21, no 1, 2050024 (2021)publisher version pdf arXiv, 15 pages.
19. Will Boney, The \Gamma-ultraproduct and averageable classes, Research Trends in Contemporary Logic, (M. Fitting, D. Gabbay, M. Pourmahdian, A. Rezus, A. Sadegh Daghighi, eds.) Accepted, pdf arXiv, 26 pages

    Also appears as: Will Boney, The \Gamma-ultraproduct and averageable classes, Journal of Applied Logics, vol 7, no 4, 2020, 459-498. publisher version

20. Will Boney, Barbara Csima, Nancy Day, Matthew Harrison-Trainor Which classes of structures are both pseudo-elementary and definable by an infinitary sentence?, Bulletin of Symbolic Logic, vol 29, no 1, 2023, 1-18. publisher version pdf arXiv
21. Will Boney and Ioannis Souldatos, A Lower Bound for the Hanf Number for Joint Embedding, Fundamenta Mathematicae, vol 258, 2022, 115-135, publisher version, pdf arXiv.
22. Will Boney, Cofinality quantifiers in Abstract Elementary Classes and beyond, Accepted, Journal of Symbolic Logic, publisher version, pdf, arXiv, 12 pages.
23. Will Boney, Stamatis Dimopoulos, Victoria Gitman, and Menachem Magidor, Model Theoretic Characterizations of Large Cardinals Revisited, Accepted, Transactions of the American Mathematical Society, , pdf, arXiv, 31 pages.

Submitted Papers

24. Will Boney and Monica VanDieren, Limit Models in Strictly Stable Abstract Elementary Classes, Submitted, pdf arXiv, 19 pages.
25. Will Boney, Definable Coherent Ultrapowers and Elementary Extensions, Submitted, pdf arXiv, 14 pages.
26. Will Boney, Erdős-Rado Classes, Submitted, pdf arXiv, 27 pages.

Notes

Here are a collection of informal research notes that I have written. Please email me with any questions or comments.

• Coheir in Averageable Classes, pdf
• Shelah’s Omitting Types Theorem, pdf
• Feferman-Vaught Theorem, pdf
• Zilber’s Pseudoexponentiation, pdf

DISSERTATION

I defended my dissertation in May 2014.

• Will Boney, Advances in Classification Theory for Abstract Elementary Classes, PhD Thesis, 2014, pdf, 162 pages.

Acknowledgements

Some of this material is based upon work supported by the National Science Foundation under Grants No. DMS-1402191 and DMS-2137465, and an AMS-Simons Travel Grant.

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.