Andrew Starnes

Graduate Teaching Associate

• Curriculum Vitae
• Research Statement
• Teaching Statement

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)