Headshot of Dr.Jeremy LeCrone

Dr. Jeremy LeCrone

Associate Professor of Mathematics
Chair, Department of Mathematics & Statistics
  • Profile

    Jeremy LeCrone earned his Ph.D. at Vanderbilt University in 2012 and held postdoctoral positions at Vanderbilt University and Kansas State University before joining the University of Richmond in January 2016.

    LeCrone’s research focuses on analysis of differential equations, including geometric evolution equations, parabolic pdes, elliptic pdes, and control theory/motion planning. He loves to teach a range of courses including Linear Algebra, Fundamentals of Abstract Math, Differential Equations, and Real Analysis, emphasizing metacognitive learning, alternative grading, and inclusive pedagogy.

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    • Presentations

      State Constrained Control Systems: Envelope Generators & Clearance Irregularities

      • SIAM TX-LA Sectional Meeting, Austin, TX (September 2025)

      • Applied Math Seminar, Allendale, MI (October 2024)

      • AMS-UMI International Joint Meeting, Palermo, Italy (July 2024)

      Kinodynamic Control Systems and Discontinuities in Clearance

      • PDE Seminar, Nashville, TN (February 2023)

      • MATH Department Colloquium, Wilmington, NC (February 2023)

      Mean Value Theorem for Riemannian Manifolds via the Obstacle Problem

      • Analysis Seminar, Charlottesville, VA (February 2018)

      • PDE Seminar, Irvine, CA (February 2018)

      • Midwest Geometry Conference, Manhattan, KS (November 2017)

      Moving Interfaces and Free Boundaries: Establishing rigorous results on unknown domains

      • The Visible Scholar Lecture Series, University of Richmond (November 2017)

      Perturbed Obstacle Problems: Linearity of free boundary motions

      • Prairie Analysis Seminar, Lawrence, KS (September 2016)

      Stability of Cylinders in Surface Diffusion Flow Under General Perturbations

      • International Conference on Evolution Equations, Nashville, TN (May 2016)

      • SIAM Conference on Analysis of PDEs, Scottsdale, AZ (December 2015)

      Modelling Mean Curvature Flow (With Obstacles) Using Cellular Automata

      • Colloquium, University of Richmond (May 2015)

      Interface Evolution: Formulation, Dynamics, and Simulation

      • Colloquium, University of Alabama-Huntsville (February 2015)

      Stability and Bifurcation of Equilibria to Geometric Evolution Laws in the Axisymmetric Setting

      • SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, PA (June 2013)

  • Selected Publications
    Journal Articles

    Armstrong, J. Denny, J. LeCrone: Kinodynamic control systems and discontinuities in clearance. SIAM Journal on Control and Optimization, 61 (4) 2023, 2448-2467. DOI: 10.1137/22M1516221.

    LeCrone, Y. Shao, G. Simonett: The surface diffusion and the Willmore flow for uniformly regular hypersurfaces. Discrete and Continuous Dynamical Systems – S, 13 (5) 2020, 3503-3524.

    LeCrone, G. Simonett: On quasilinear parabolic equations and continuous maximal regularity. Evolution Equations & Control Theory, 9 (1) 2020, 61-86. DOI: 10.3934/eect.2020017.

    Blank, J. LeCrone: Perturbed obstacle problems in Lipschitz domains: Linear stability and non-degeneracy in measure. Rocky Mountain Journal of Mathematics, 49 (5) 2019, 1407-1418.

    B. Benson, I. Blank, J. LeCrone: Mean value theorems for Riemannian manifolds via the obstacle problem. The Journal of Geometric Analysis (2018). DOI: 10.1007/s12220-018-0093-4.

    J. LeCrone, G. Simonett: On the flow of non-axisymmetric perturbations of cylinders via surface diffusion. Journal of Differential Equations 260(6) (2016), 5510-5531. DOI: 10.1016/j.jde.2015.12.008

    J. LeCrone, J. Prüss, M. Wilke: On quasilinear parabolic evolution equations in weighted Lp–spaces II. Journal of Evolution Equations, 14(3) (2014), 509–533. DOI: 10.1007/s00028-014-0226-6.

    J. LeCrone: Stability and bifurcation of equilibria for the axisymmetric averaged mean curvature flow. Interfaces and Free Boundaries, 16(1) (2014), 41–64. DOI: 10.4171/IFB/313.

    J. LeCrone, G. Simonett: On stability and well-posedness of the axisymmetric surface diffusion flow. SIAM Journal on Mathematical Analysis, 45(5) (2013), 2834–2869. DOI: 10.1137/120883505.

    J. LeCrone: Elliptic operators and maximal regularity on periodic little-Holder spaces. Journal of Evolution Equations, 12 (2012), 295–325. DOI: 10.1007/s00028-011-0133-z.

    J. LeCrone, G. Simonett: Continuous maximal regularity and analytic semigroups. Dynamical Systems and Differential Equations, DCDS Supplement 2011: Proceedings of the 8th AIMS International Conference (Dresden, Germany), 963–970. (Refereed Publication) arXiv:1110.5690