Juan Jimenez

Juan Jimenez

  • Postdoctoral Fellow
  • Mathematics and Statistics
    • juj0003@auburn.edu
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    Juan J. Jimenez

    Juan Jiménez is a postdoctoral fellow in the Department of Mathematics and Statistics at Auburn University, where he works with Professor Le Chen. He received his Ph.D. in Mathematics from the University of Ottawa under the supervision of Professor Raluca M. Balan. His research is in probability theory and stochastic analysis, with a focus on stochastic partial differential equations, random fields, Lévy noise, heavy-tailed phenomena, and questions related to KPZ universality.


    Education

    • PhD University of Ottawa 2025

    Professional Experience

    Postdoctoral Fellow, Auburn University, College of Sciences and Mathematics, 2025–present. Research in stochastic partial differential equations under the supervision of Professor Le Chen.

    Instructor, Auburn University, Spring 2026. Instructor of record for MATH 7830: Applied Stochastic Processes II.

    Teaching Assistant, 2021–2024. Served as demonstrator, lab monitor, and corrector for courses in calculus, linear algebra, analysis, complex analysis, and partial differential equations.

    Data Scientist, Directrix Analytics, 2018–2020. Worked on data analysis, fuzzy control systems, and control methods for industrial applications.

    Junior Researcher, 2014–2018. Conducted research on elliptic boundary value problems, ordinary differential equations, and numerical analysis.

    Innovation

    My research lies in probability theory and stochastic analysis, with a particular focus on stochastic partial differential equations, random fields, and systems driven by Lévy-type noises. I am interested in the mathematical analysis of models with heavy-tailed phenomena, intermittency, singular random forcing, and disordered structures. My work also connects to Feynman–Kac formulas, stochastic wave and heat equations, and questions related to KPZ universality.

    Engagement

    My outreach and engagement experience includes communicating mathematics and research through seminars, colloquia, conference presentations, and academic workshops. I have presented work on stochastic partial differential equations, Lévy noise, heavy-tailed phenomena, and related topics to mathematical audiences.