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.

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

**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)

**Model completeness for the differential field of transseries with exponentiation.**

*Submitted*

**Surreal ordered exponential fields.**

With P. Ehrlich.

*Submitted*

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

**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).