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Publications: (With technical abstracts) (With less technical abstracts) 1. A topology for Galois types in abstract elementary classes. Math. Log. Quart. vol. 57, no. 2, pp. 204-216 (2011). (MR2816098) (arXiv) 2. Category-theoretic aspects of AECs. Annals of Pure and Applied Logic, vol. 162, no. 11, pp. 903-915 (2011). (MR2817563) (Preprint) 3. Rank functions and partial stability spectra for tame AECs. Notre Dame Journal of Formal Logic, vol. 54, no. 11, pp. 153-166 (2013). (MR3028793) (arXiv) 4. Limits of abstract elementary classes. With Jiří Rosický. Theory and Applications of Categories, vol. 30, pp. 1647-1658 (2015). (MR3431298) (Publisher version) 5. Classification theory for accessible categories. With Jiří Rosický. Journal of Symbolic Logic, vol. 81, no. 1, pp. 151-165 (2016). (MR3471133) (arXiv) 6. μ-Abstract Elementary Classes and other generalizations. With Will Boney, Rami Grossberg, Jiří Rosický, and Sebastien Vasey. Journal of Pure and Applied Algebra, vol. 220, no. 9, pp. 3048-3066 (2016). (MR3486290) (arXiv) 7. Metric abstract elementary classes as accessible categories. With Jiří Rosický. Journal of Symbolic Logic, vol. 82, no. 3, pp. 1022-1040 (2017). (MR3694339) (arXiv) 8. Hanf numbers via accessible images. With Jiří Rosický. Logical Methods in Computer Science, 13(2:11), pp. 1-15 (2017). (MR3667927) (Publisher version) 9. Universal abstract elementary classes and locally multipresentable categories. With Jiří Rosický and Sebastien Vasey. Proceedings of the AMS, 147(3), pp. 1283-1298 (2019). (Publisher) (arXiv) 10. Internal sizes in μ-abstract elementary classes. With Jiří Rosický and Sebastien Vasey. Journal of Pure and Applied Algebra, 223(10), pp. 4560-4582 (2019). (Publisher version) (arXiv) 11. Forking independence from the categorical point of view. With Jiří Rosický and Sebastien Vasey. Advances in Mathematics, vol. 346, pp. 719-772 (2019). (Publisher version) (arXiv) 12. Sizes and filtrations in accessible categories. With Jiří Rosický and Sebastien Vasey. To appear in Israel Journal of Mathematics. (arXiv) 13. Approximations of superstability in concrete accessible categories. With Jiří Rosický. In preparation. (arXiv) 14. A category-theoretic characterization of almost measurable cardinals. Submitted. (arXiv) 15. Tameness in generalized metric structures. With Jiří Rosický and Pedro Zambrano. Submitted. (arXiv) 16. Tameness, powerful images, and large cardinals. With Will Boney. Submitted. (arXiv) 17. Weak factorization systems and stable independence. With Jiří Rosický and Sebastien Vasey. Submitted. (arXiv) 18. Hilbert spaces and C*-algebras are not finitely concrete. With Jiří Rosický and Sebastien Vasey. In preparation. (arXiv)
Fibrational
representations of the lambda calculus. Undergraduate thesis, Reed
College, 2003. (PDF)
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