Leah McNabb

Assistant Professor of Mathematics

Applied Math, Cybersecurity, Data Analytics, Data Science, Mathematics

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 a talk on "An Introduction to Quadrature Domains and the X Marks the Spot Problem" at the Allegheny Mountain MAA Spring Section Meeting - March 2025
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