Research interests

I am interested in model theory and its interactions with algebra. I primarily study valued differential fields and ordered valued differential fields, especially those that look a little like transseries.

My research has been supported by the NSF grant DMS-2154086 and my research is currently supported by the FWF (Austrian Science Fund) project ESP 450.

All of my published or submitted papers are available at the arXiv here or at the individual links below.

Papers

Journal articles

• "Model theory of differential-henselian pre-H-fields", J. Symb. Log., accepted.
• (with E. Kaplan) "Monotone T-convex T-differential fields", Model Theory 4-1 (2025), 55–100.
• "Differential-henselianity and maximality of asymptotic valued differential fields", Pacific J. Math. 308-1 (2020), 161–205.
• "Newtonian valued differential fields with arbitrary value group", Comm. Algebra 47-7 (2019), 2766–2776.
• (with L. van den Dries) "On the uniqueness of maximal immediate extensions of valued differential fields", J. Algebra 519 (2019), 87–100.

Preprints

• "Tame pairs of transseries fields", submitted.

Conference proceedings (non-refereed)

• "Remarks on dimension in ordered differential fields", RIMS Kôkyűroku No.2311.

Dissertation

• On asymptotic valued differential fields with small derivation, University of Illinois at Urbana–Champaign, May 2020 (small errors corrected September 2020)

Some slides and videos

• Differential-algebraic dimension in transserial tame pairs, Recent developments in the model theory of fields, Naples, May 2025
• Tame pairs of transseries fields (video), Logic Colloquium, KGRC, November 2024
• Tame pairs of transseries fields, PKU Model Theory Seminar, November 2024
• Tame pairs of transseries fields (video), Exponential Fields Workshop, BIRS, February 2024
• Monotone T-convex T-differential fields (50 minutes), Special Session on Model Theory, ASL North American Annual Meeting, March 2023
• Monotone T-convex T-differential fields (20 minutes), ASL Special Session on Tame Geometry and Applications to Analysis, JMM, January 2023
• Model theory of differential-henselian pre-H-fields (50 minutes), Fields Institute Model Theory Seminar, April 2022
• Model theory of differential-henselian pre-H-fields (20 minutes), AMS Spring Central Virtual Sectional Meeting, March 2022
• Asymptotic valued differential fields (video), Kolchin Seminar in Differential Algebra, CUNY Graduate Center, April 2019