Publications and Preprints

1. Large implies Henselian, with Will Johnson, Chieu-Minh Tran, and Erik Walsberg, preprint.

2. When is A+xA=ℝ, with Liang Yu and Xuanheng Zhao, submitted.

3. Lang-Weil type estimates in finite difference fields, with Martin Hils, Ehud Hrushovski, and Tingxiang Zou, preprint.

4. Zilber's trichotomy in Hausdorff geometric structures, with Ben Castle and Assaf Hasson, submitted.

5. Hyperbolicity and model-complete fields, with Michał Szachniewicz, Int. Math. Res. Not. IMRN 2025, no. 4, rnaf019. [Journal]

6. Of model completeness and algebraic groups, with Daniel Hoffmann, Piotr Kowalski, and Chieu-Minh Tran, preprint.

7. Non-trivial higher homotopy of first-order theories, with Tim Campion, J. Symb. Log. [Journal]

8. Curve-excluding fields, with Will Johnson,  J. Eur. Math. Soc. (JEMS). [Journal]

9. Tropical functions on a skeleton, with Antoine Ducros, Ehud Hrushovski, and François Loeser, J. Éc. polytech. Math. 11 (2024), 613–654. [Journal]

10. When is the étale open topology a field topology?, with Philip Dittmann and Erik Walsberg, Israel J. Math. [Journal] 

11. A note on geometric theories of fields, with Will Johnson, Model Theory 2 (2023), 121–132. [Journal]

12. An invitation to extension domination, with Kyle Gannon, Notre Dame J. Form. Log. 64 (2023), no. 3, 253-280.  [Journal]

13. Beautiful pairs, with Pablo Cubides Kovacsics and Martin Hils, submitted. 

14. The étale open topology over the fraction field of a Henselian local domain, with Will Johnson and Erik Walsberg, Math. Nachr. 296 (2023), no. 5, 1928-1937. [Journal]

15. Éz fields, with Erik Walsberg,  J. Algebra. 614 (2023), 611–649. [Journal]

16. The étale open topology and the stable fields conjecture, with Will Johnson, Chieu-Minh Tran, and Erik Walsberg, J. Eur. Math. Soc. (JEMS) 26 (2024), no.10, 4033–4070. [Journal]

17. Cohomology of algebraic varieties over non-archimedean fields, with Pablo Cubides Kovacsics and Mário Edmundo, Forum Math. Sigma 10 (2022), Paper No. e94, 72 pp. [Journal]

18. Stable formulas in ordered structures, with Daniel Hoffmann and Chieu-Minh Tran, Israel J. Math. 254 (2023), no. 1, 293–312. [Journal]

19. A note on μ-stabilizers in ACVF, Ann. Pure Appl. Logic 174 (2023), no. 3, Paper No. 103210, 14 pp. [Journal]

20. Peterzil-Steinhorn subgroups and μ-stabilizers in ACF, with Moshe Kamensky and Sergei Starchenko, J. Inst. Math. Jussieu 22 (2023), no. 3, 1003-1022. [Journal]

21. Homotopy types of abstract elementary classes, with Tim Campion, J. Pure Appl. Algebra. 225 (2021), no. 5, Paper No. 106461, 9 pp. [Journal]

22. Pro-definability of spaces of definable types, with Pablo Cubides Kovacsics, Proc. Amer. Math. Soc. Ser. B. 8 (2021), 173-188.  [Journal]

23. Classifying spaces and the Lascar group, with Tim Campion and Greg Cousins, J. Symb. Log. 86 (2021), no 4, 1396 - 1431. [Journal]

Alternatively, here is the complete list of my papers on arXiv.