Graduate Teaching Associate

## Contact Information

Email: astarne5@vols.utk.edu

Office: Ayres 247

Mailing Address:

227 Ayres Hall

1403 Circle Drive

Knoxville, TN 37996-1320

## Research Interests

- Complex Analysis
- Probability and Stochastic Processes
- Simulation Methods for the Loewner Equation

## Education

- M.S. in Mathematics, The University of Tennessee, Knoxville, 2015
- B.S. in Mathematics, Tennessee Technological University, Cookeville, TN, 2011

## Publications

- The Loewner Equation for Multiple Hulls (submitted) arXiv:1710.09301
- Effect of Random Time Changes on Loewner Hulls (with K. Kobayashi and J. Lind) (in preparation)

## Upcoming Conferences

- Joint Mathematics Meetings 2018
- Title: The Multiple Loewner Equation with Rapidly and Randomly Oscillating Functions
- Time: Friday, January 12, 2018, from 5:00pm to 5:10pm
- Abstract: Kager, Nienhuis, and Kadanoff conjectured that the hull generated from the Loewner equation driven by two constant functions with constant weights could be generated by a single rapidly and randomly oscillating function. We will discuss the proof of their conjecture and a generalization to multiple continuous driving functions with varying weights. Lastly, we investigate a simulation method which comes from the proof for hulls generated by the multiple Loewner equation.

## Recent Talks

- Time-Changed Schramm-Loewner Evolution, UTK Analysis Seminar, March 2017 (slides)
- The Loewner Equation, UTK Presentations Seminar, October 2016 (slides)
- An Application of the Loewner Equation, UTK Analysis Seminar, September 2015 (slides)
- An Introduction to the Loewner Equation, UTK Analysis Seminar, September 2015 (slides)
- A Multi-Slit Example Using the Loewner Differential Equation, UTK PDE Seminar, October 2014

## Teaching Information

- Calculus 1: Fall 2014, Spring 2015, Fall 2015, Spring 2016, Fall 2017
- Mathematical Reasoning: Fall 2012, Spring 2013, Fall 2013, Fall 2016
- Basic Calculus: Summer 2014 (link to Spring 2012 Recitation)