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I am an NSF postdoctoral fellow at McMaster University. My research lies in model theory and its applications. I completed my PhD at the University of Illinois at Urbana-Champaign, where my advisor was Lou van den Dries.
Elliot Kaplan. McMaster University. Verified email at mcmaster.ca - Homepage. ... The Journal of Symbolic Logic 86 (3), 1066-1115, 2021. 13: 2021: Logarithmic ...
North American meeting of the Association of Symbolic Logic at UC Irvine Model Theory Special Session, canceled due to COVID-19. March 2020. Oberwolfach Research Institute for Mathematics Mini-Workshop on Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations.
To actually prove o-minimality, a better understanding of definable functions in several variable is likely needed. I will discuss one approach arising from Wilkie’s proof that the real exponential field is o-minimal. This ongoing work is joint with Vincent Bagayoko and Elliot Kaplan.
Abstract. We show that the theory T log T log of the asymptotic couple of the field of logarithmic transseries is distal. As distal theories are NIP (have the non-independence property), this provides a new proof that T log T log is NIP. Citation. Download Citation. Allen Gehret. Elliot Kaplan.
- Allen Gehret, Elliot Kaplan
- 2020
May 12, 2023 · Elliot Kaplan, Christoph Kesting. We prove a dichotomy for o-minimal fields R, expanded by a T -convex valuation ring (where T is the theory of R) and a compatible monomial group.
Elliot Kaplan. Let $T$ be an o-minimal theory extending the theory of real closed ordered fields. An $H_T$-field is a model $K$ of $T$ equipped with a $T$-derivation such that the underlying ...
