Elliot Kaplan

178 Altgeld Hall · Urbana, IL 61801 · eakapla2@illinois.edu

I am a doctoral candidate in the Mathematics Department at UIUC. I am part of the logic group and I am interested in model theory and its applications. My advisor is Lou van den Dries.


Research

I am interested in o-minimal structures and the model theory of valued fields and differential fields.

Publications


Generic derivations on o-minimal structures.
With A. Fornasiero.
Journal of Mathematical Logic (to appear)

Pairs of theories satisfying a Mordell-Lang condition.
With A. Block Gorman and P. Hieronymi.
Fundamenta Mathematicae (2020)

Distality for the asymptotic couple of the field of logarithmic transseries.
With A. Gehret.
Notre Dame Journal of Formal Logic (2020)

Continuous regular functions.
With A. Block Gorman, P. Hieronymi, R. Meng, E. Walsberg, Z. Wang, Z. Xiong, and H. Yang.
Logical Methods in Computer Science (2020)

Logarithmic hyperseries.
With L. van den Dries and J. van der Hoeven.
Transactions of the American Mathematical Society (2019)

Number systems with simplicity hierarchies II.
With P. Ehrlich.
Journal of Symbolic Logic (2018)

Resolution depth of positive braids.
With D. Krcatovich and P. O'Brien.
Journal of Knot Theory and Its Ramifications (2015)


Teaching

I am teaching Math 231 (Calculus II) this summer.

Past Teaching


Fall 2019:
TA for Math 241 (Calculus III).

Fall 2018:
TA for Math 241 (Calculus III).

Spring 2018:
Head TA for Math 415 (Applied Linear Algebra).

Fall 2017:
Head TA for Math 125 (Elementary Linear Algebra).
Grader for Math 570 (Mathematical Logic) and Math 535 (General Topology).

Spring 2017:
TA for Math 241 (Calculus III).

Fall 2016:
TA for Math 241 (Calculus III).
Grader for Math 570 (Mathematical Logic).

Fall 2015:
TA for Math 231 (Calculus II).