Dr. Leah McNabb (formerly Leah Buck) is a dedicated educator and researcher specializing in Complex Analysis. She earned her PhD with a focus on quadrature domains in the plane, building on the work of her advisor. Together, they developed a novel encryption/decryption method for locations, using properties of quadrature domains. Dr. McNabb's dissertation also explored applications of quadrature domains in various settings. Dr. McNabb is passionate about teaching mathematics at the collegiate level. Her enthusiasm for sharing mathematical concepts is evident both in the classroom and during research discussions. She strives to create an engaging and supportive learning environment where students can appreciate the beauty and applications of mathematics. In addition to her academic pursuits, Dr. McNabb enjoys a variety of activities outside of work. She is an avid music enthusiast. She also loves watching and playing sports, with a particular fondness for soccer. Her other interests include reading, watching movies and television, spending time with family, and enjoying the outdoors.

Education

• Ph.D, Purdue University (West Lafayette, IN), 2024

• M.S., Purdue University (West Lafayette, IN), 2023

• B.S., Muskingum University (New Concord, OH), 2017

Publications

• Buck, Leah, Kelly Emmrich, and Tamás Forgács. “Sufficient Conditions for a Linear Operator on R[x] to be Monotone." Houston Journal of Mathematics v. 45 no. 1 (2019) p. 201-212.

Awards

• Excellence in Teaching Award - Purdue University Department of Mathematics (2020)

Organizations

• Mathematical Association of America

• American Mathematical Society

• Kappa Mu Epsilon

Presentations

• Presented an invited talk on “Quadrature Domains for Holomorphic and Harmonic Functions” at the Purdue AWM Symposium – April 2024

• Presented an invited talk on “An Introduction to Quadrature Domains and the X Marks the Spot Problem" at the Purdue AWM Symposium - April 2023

• Presented a talk on “An Introduction to Quadrature Domains and the X Marks the Spot Problem" at the Indiana MAA Spring Section Meeting - March 2023

• Presented a talk on “An Introduction to Quadrature Domains and the X Marks the Spot Problem" at Purdue University's Graduate Student Analysis Seminar - February 2023

• Presented a talk on “An Introduction to Quadrature Domains and the X Marks the Spot Problem" at Purdue University Mathematics Department's Student Colloquium - October 2022

• Presented an invited talk on “An Introduction to Quadrature Domains and the X Marks the Spot Problem" at Rose-Hulman Institute of Technology - September 2022

• Presented a poster and gave a talk on “Constructing a Universal Algebraic Differential Equation Based on Certain Trigonometric Relationships' during Muskingum University’s Science Week - 2017

• Presented a talk on “Sufficient Conditions for a Linear Operator on R[x] to be Monotone,' AMS-MAA-SIAM special session on Research Conducted by Undergraduates at the Joint Mathematics Meetings, Atlanta - 2017

• Presented a talk on “Constructing a Universal Algebraic Differential Equation Based on Certain Trigonometric Relationships' at The Young Mathematician’s Conference at The Ohio State University - 2016

• Presented a talk on “Constructing a Universal Algebraic Differential Equation Based on Certain Trigonometric Relationships' at The Mathematical Association of America, Spring Ohio Section Meeting, Ohio Northern University - 2016

• Presented a poster on “Sufficient Conditions for a Linear Operator on R[x] to be Monotone' at the Fall Research and Internship Forum at Muskingum University - 2016