CV

Education

Ph.D. in Applied and Interdisciplinary Mathematics
University of Michigan, Ann Arbor
GPA: 4.0
July 2024 – Present
B.S. in Mathematics (Honors), Minor in Statistics
University of Pittsburgh, Summa Cum Laude
July 2021 – May 2024
A.S. in Mathematics and Physical Sciences
Community College of Allegheny County, Highest Honors
August 2016 – August 2020

Graduate Student Instructor
University of Michigan
August 2024 – December 2024
- Taught Calculus 1 using an inquiry-based learning approach.
- Designed quizzes, worksheets, and visual aids to enhance student engagement.
- Fostered a positive and inclusive classroom environment.
Editor-In-Chief
Pittsburgh Interdisciplinary Mathematics Review
January 2023 – December 2024
- Cofounded and managed an interdisciplinary mathematics journal archived by the Library of Congress.
- Coordinated editorial processes and secured funding and institutional support.

Electrophysiology and Fluid Flows in the Brain
University of Michigan, Department of Mathematics
October 2024 – Present
- Developed large-scale simulations of mouse brain activity using C++ and CUDA.
- Applied sparse numerical linear algebra and finite difference calculus to optimize computations.
- Designed algorithms to construct detailed mouse connectomes.
Spatiotemporal Patterns in Neuronal Networks
University of Pittsburgh, TECBio NSF REU
May 2023 – October 2024
- Modeled spatiotemporal spiral wave phenomena in neuronal networks.
- Conducted phase plane and bifurcation analyses using XPPAUT.
- Created simulation tools and visualizations in MATLAB.
Wrong Winding Numbers in the Reinhardt Conjecture
University of Pittsburgh, Department of Mathematics
March 2023 – April 2023
- Explored optimal control problems in the Reinhardt Conjecture.
- Investigated ambiguities in eigenvalue-related phenomena.
- Visualized results using Mathematica.
Quantization of Dispersive Waves
University of Pittsburgh, Department of Mathematics
May 2022 – May 2023
- Studied quantization in higher-dimensional systems.
- Visualized quantized and fractal solutions using Mathematica.
Mood Dynamics in Bipolar Disorder
North Carolina A&T State University and Elon University, Joint NSF REU
May 2022 – August 2022
- Reproduced and analyzed existing models of mood dynamics.
- Solved differential equation systems in MATLAB.
- Delivered research presentations and reports.

Programming: MATLAB (advanced), LaTeX (advanced), Python (intermediate), R (intermediate), C++ (beginner), CUDA (beginner)
Mathematics: Sparse Numerical Linear Algebra, Dynamical Systems, Partial Differential Equations, Network Theory
Statistical Modeling: Linear Regression, Logistic Regression, Random Forests, PCA, Cross-Validation

N. C. MacLachlan and G. B. Ermentrout. Analysis and Simulation of Spatiotemporal Spiral Waves in Neuronal Networks. Joint Mathematics Meeting, San Francisco, CA, 2024.
N. C. MacLachlan and L. Song. An Interview with Professor Piotr Hajłasz. Pittsburgh Interdisciplinary Mathematics Review, Vol. 2, 2024.

Cofounder and Editor-In-Chief, Pittsburgh Interdisciplinary Mathematics Review, 2023–2024