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. At the moment, I am particularly interested in fields of transseries.

Publications


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

With P. Ehrlich.
Journal of Symbolic Logic (2018)

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


Teaching

I am currently a TA for Math 241 (Calculus III). I teach sections ADC and ADD.

Past Teaching


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).