David Aristoff
Associate Professor
Department of Mathematics
Colorado State University

This semester I am coordinating MATH 340.

My research focuses on numerical methods for optimization, interpolation, and numerical integration, with applications in physics, biology, and elsewhere. I am especially interested in rare events, uncertainty quantification, and dynamics. Some of my more recent publications are listed below, and some of the associated code is on my Github page.


Benchmarking for Bayesian inversion problems, with applications in materials science

  • D. Aristoff and W. Bangerth.
    A benchmark for the Bayesian inversion of coefficients in partial differential equations
    (2023) SIAM Review 65(4), 1074--1105


  • Optimizing genetic algorithms, with applications to molecular dynamics

  • D. Aristoff, J.Copperman, G. Simpson, R.J. Webber, and D.M. Zuckerman.
    Weighted ensemble: recent mathematical developments
    (2023) J. Chem. Phys. 158, 014108

  • D. Aristoff.
    An ergodic theorem for the weighted ensemble method
    (2022) J. Appl. Probab. 59(1), 152--166

  • R.J. Webber, D. Aristoff, and G. Simpson.
    A splitting method to reduce MCMC variance
    (2022) arXiv:2011.13899


  • Featurizing Koopman mode decomposition, with applications to cancer cell signaling

  • D. Aristoff, J. Copperman, N. Mankovich, and A. Davies.
    Featurizing Koopman mode decomposition
    (2023) arXiv:2312.09146v2


  • Extending Markov models, with applications to molecular dynamics

  • S. Kania, D. Aristoff, and D.M. Zuckerman.
    RiteWeight: Randomized Iterative Trajectory Reweighting for Steady-State Distributions Without Discretization Error
    (2024) arXiv:2401.05597

  • D. Aristoff, M. Johnson, and D. Perez.
    Arbitrarily accurate, nonparametric coarse graining with Markov renewal processes and the Mori-Zwanzig formulation
    (2023) AIP Advances 13, 095131

  • J.D. Russo, D. Aristoff, J. Copperman, G. Simpson, and D.M. Zuckerman.
    Unbiased estimation of equilibrium, rates, and committors from MSM analysis
    (2022) arXiv:2105.13402



  • My research above has been supported by NSF-DMS 2111277, NSF-DMS 1818726, and NIH 2R01GM115805-05. Some of my other work has been supported by NSF-DMS 1522398.