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  Publications:
 

1. A topology for Galois types in abstract elementary classes. Math. Log. Quart. 57(2): 204-216 (2011). (MR2816098) (arXiv)

2. Category-theoretic aspects of AECs. Annals of Pure and Applied Logic 162(11): 903-915 (2011). (MR2817563) (Preprint)

3. Rank functions and partial stability spectra for tame AECs. Notre Dame Journal of Formal Logic 54(11): 153-166 (2013). (MR3028793) (arXiv)

4. Limits of abstract elementary classes. With Jiří Rosický. Theory and Applications of Categories 30: 1647-1658 (2015). (MR3431298) (Publisher version)

5. Classification theory for accessible categories. With Jiří Rosický. Journal of Symbolic Logic 81(1): 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 220(9): 3048-3066 (2016). (MR3486290) (arXiv)

7. Metric abstract elementary classes as accessible categories. With Jiří Rosický. Journal of Symbolic Logic 82(3): 1022-1040 (2017). (MR3694339) (arXiv)

8. Hanf numbers via accessible images. With Jiří Rosický. Logical Methods in Computer Science 13(2:11): 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): 1283-1298 (2019). (MR3896074) (Publisher) (arXiv)

10. Internal sizes in μ-abstract elementary classes. With Jiří Rosický and Sebastien Vasey. Journal of Pure and Applied Algebra 223(10): 4560-4582 (2019). (MR3958105) (Publisher version) (arXiv)

11. Forking independence from the categorical point of view. With Jiří Rosický and Sebastien Vasey. Advances in Mathematics 346: 719-772 (2019). (MR3914179) (Publisher version) (arXiv)

12. Sizes and filtrations in accessible categories. With Jiří Rosický and Sebastien Vasey. Israel Journal of Mathematics 238(1): 243-278 (2020). (Publisher version) (arXiv)

13. A category-theoretic characterization of almost measurable cardinals. Proceedings of the AMS 148(9): 4065-4067 (2020). (Publisher version) (arXiv)

14. Cofibrant generation of pure monomorphisms. With Leonid Positselski, Jiří Rosický, and Sebastien Vasey. Journal of Algebra 560: 1297-1310 (2020). (Publisher version) (arXiv)

15. Tameness, powerful images, and large cardinals. With Will Boney. Journal of Mathematical Logic 21(1): 2050024 (2021). (Publisher version) (arXiv)

16. Induced and higher-dimensional stable independence. With Jiří Rosický and Sebastien Vasey. Annals of Pure and Applied Logic, 173(7): 103124 (2022). (Publisher version) (arXiv)

17. Cellular categories and stable independence. With Jiří Rosický and Sebastien Vasey. To appear in the Journal of Symbolic Logic. (arXiv)


Preprints:

18. Approximations of superstability in concrete accessible categories. With Jiří Rosický. In preparation. (arXiv)

19. Tameness in generalized metric structures. With Jiří Rosický and Pedro Zambrano. Submitted. (arXiv)

20. Hilbert spaces and C*-algebras are not finitely concrete. With Jiří Rosický and Sebastien Vasey. Submitted. (arXiv)


Theses:

Topological and category-theoretic aspects of abstract elementary classes. Doctoral dissertation, University of Michigan, 2009. (MR2713880) (PDF)

Fibrational representations of the lambda calculus. Undergraduate thesis, Reed College, 2003. (PDF)

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Expository pieces:

Set-theoretic category theory. Notes of lecture given in the course Topics in Category Theory at Masaryk University, May 22, 2018. PDF


For nonmathematical audiences:

Kurt Gödel (1906-1978) - Geniální matematik z Brna. Ahoj, no. 4, pp. 22-23 (2017). [Czech language profile of Kurt Gödel and his major results]