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James H. Nolen

Alexander Hehmeyer Professor of Mathematics
Mathematics
Box 90320, Durham, NC 27708-0320
120 Science Drive, Durham, NC 27708
Office hours Mondays 10:30am-12:00
Wednesdays 2:00pm-3:30  

Overview


My research is in the area of probability and partial differential equations, which have been used to model many phenomena in the natural sciences and engineering.  Asymptotic analysis has been a common theme in much of my research.  Current research interests include: stochastic dynamics, interacting particle systems, reaction-diffusion equations, applications to biological models.

Current Duke Appointments & Affiliations


Alexander Hehmeyer Professor of Mathematics · 2025 - Present Mathematics, Trinity College of Arts & Sciences
Professor of Mathematics · 2021 - Present Mathematics, Trinity College of Arts & Sciences

Recent News Items


Published April 22, 2025
Ten Faculty Named 2025 Bass Chairs

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Recent Scholarly Works


On spectral interference of the short-time Fourier transform and its nonlinear variations

Journal article Applied and Computational Harmonic Analysis · July 1, 2026 Spectral interference, commonly referred to as the beating phenomenon, can severely distort time-frequency representations (TFRs) in physical applications. We study this phenomenon for the short-time Fourier transform (STFT) with a Gaussian window and for ... Full text Cite
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Recent Grants


RTG: Training Tomorrow's Workforce in Analysis and Applications

Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2027

Support for Southeastern Probability Conference

ConferenceCo Investigator · Awarded by National Science Foundation · 2020 - 2024

CAREER: Research and training in stochastic dynamics

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2014 - 2020

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Education


University of Texas, Austin · 2006 Ph.D.
Davidson College · 2000 B.S.