MPIM Room 308 · Vivatsgasse 7 · 53111 Bonn · ekaplan@mpim-bonn.mpg.de

I am a postdoctoral fellow at the Max Planck Institute for Mathematics. My research lies in model theory and its applications.

I am interested in o-minimality, the model theory of valued fields, and the model theory of differential fields.

**Monotone T-convex T-differential fields.**

With N. Pynn-Coates.

**Hilbert polynomials for finitary matroids.**

With A. Fornasiero.

*Submitted*.

**Hyperserial fields.**

With V. Bagayoko and J. van der Hoeven.

*Submitted*.

**A dichotomy for T-convex fields with a monomial group.**

With C. Kesting.

**Liouville closed H_{T}-fields.**

*T*-convex *T*-differential fields and their immediate extensions.

*Pacific Journal of Mathematics* (2022).

**Surreal ordered exponential fields.**

With P. Ehrlich.

*Journal of Symbolic Logic* (2021).

**Generic derivations on o-minimal structures.**

With A. Fornasiero.

*Journal of Mathematical Logic* (2021).

**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).

**Derivations on o-minimal fields.**

*University of Illinois at Urbana-Champaign* (2021).

I am not teaching currently.

**Fall 2023:**

Math 1B03 (Linear Algebra I).

**Fall 2022:**

Math 1ZA3 (Engineering Mathematics I).

**Fall 2020:**

Head TA for Math 415 (Applied Linear Algebra).

**Summer 2020:**

TA for Math 231 (Calculus II).

**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).

A detailed CV is available here.

**Max Planck Institute for Mathematics** (September 2024 – August 2025)

Postdoctoral Fellow

**McMaster University** (July 2021 – June 2024)

NSF Postdoctoral Fellow

**Fields Institute** (July 2021 – June 2022)

Postdoctoral fellow

**University of Illinois at Urbana-Champaign**

Doctorate in Mathematics, May 2021

Advisor: Lou van den Dries

**Ohio University**

Bachelor of Science, May 2015