Publications
This list is almost guaranteed to be at least slightly out of date at any given time. You should check google scholar/arXiv for any new preprints or to double check to see if any preprints have been accepted/are in print already.
Preprints
Finite time singularities in the Landau equation with very hard potentials
arXiv preprint, 2026
Linear decay of the beta-plane equation near Couette flow on the plane
arXiv preprint, 2025
Stability threshold of close-to-Couette shear flows with no-slip boundary conditions in 2D
arXiv preprint, 2025
Landau damping and the long-time collisionless limit of the Vlasov-Poisson-Landau Equation
arXiv preprint, 2025
Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
arXiv preprint, 2025
Negative regularity mixing for random volume preserving diffeomorphisms
arXiv preprint, 2025
Existence of stationary measures for partially damped SDEs with generic, Euler-type nonlinearities
arXiv preprint, 2024
A quantitative dichotomy for Lyapunov exponents of non-dissipative SDEs with an application to electrodynamics
arXiv preprint, 2024
Uniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes equation with Navier Boundary Conditions
arXiv preprint, 2024
The Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems in stochastic electromagnetic fields: local well-posedness
arXiv preprint, 2022
Published / Accepted
Stability of Stochastically Driven Couette Flow in 2D with Navier Boundary Conditions at High Reynolds Number via Averaging Principle
Archive for Rational Mechanics and Analysis, 250.3: 31, 2026
Kinetic shock profiles for the Landau equation
Ars Inveniendi Analytica, 2026
Pseudo-Gevrey Smoothing for the Passive Scalar Equations near Couette
Journal of Functional Analysis, 2024
Quantitative Hydrodynamic Stability for Couette Flow on Unbounded Domains with Navier Boundary Conditions
Communications in Mathematical Physics, 2024
Landau damping, collisionless limit, and stability threshold for the Vlasov-Poisson equation with nonlinear Fokker-Planck collisions
Communications in Mathematical Physics, 2024
Taylor dispersion and phase mixing in the non-cutoff Boltzmann equation on the whole space
Proceedings of the London Mathematical Society, 129.1, 2024
Chaos in stochastic 2d Galerkin-Navier-Stokes
Communications in Mathematical Physics, 405.4, 2024
A note on cascade flux laws for the stochastically-driven nonlinear Schrodinger equation
Nonlinearity, 2024
Non-invariance of Gaussian Measures under the 2D Euler Flow
Annales de l'Institut Henri Poincare C, 2023
Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D
Communications in Mathematical Physics, 2023
Stationary measures for stochastic differential equations with degenerate damping
Probability Theory and Related Fields, 2023
Nonlinear inviscid damping and shear-buoyancy instability in the two-dimensional Boussinesq equations
Communications on Pure and Applied Mathematics, 2023
Encoded Prior Sliced Wasserstein AutoEncoder for learning latent manifold representations
International Joint Conference on Neural Networks, 2022
Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations
Transactions of the American Mathematical Society, 2021
Linearized wave-damping structure of Vlasov-Poisson in R3
SIAM Journal on Mathematical Analysis, 2020
A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations
Inventiones Mathematicae, 2020
Quantitative spectral gaps and uniform lower bounds in the small noise limit for Markov semigroups generated by hypoelliptic stochastic differential equations
Probability and Mathematical Physics, 2020
Uniqueness Criteria for the Oseen Vortex in the 3d Navier-Stokes Equations
Communications in Partial Differential Equations, 2020
The Linearized Vlasov and Vlasov-Fokker-Planck Equations in a Uniform Magnetic Field
Journal of Statistical Physics, 178.2: 552-594, 2020
Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations
Annals of Probability, 2019
The Batchelor spectrum of passive scalar turbulence in stochastic fluid mechanics
Communications on Pure and Applied Mathematics, 2019
Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes
Probability Theory and Related Fields, 2019
Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel
Communications in Mathematical Physics, 2019
Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations
Archive for Rational Mechanics and Analysis, 2019
A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations
Communications in Mathematical Physics, 367(3): 1045-1075, 2019
Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations
Annals of PDE, 5(1): 4, 2019
Vortex filament solutions of the Navier-Stokes equations
Communications on Pure and Applied Mathematics, 2018
Lagrangian chaos and scalar advection in stochastic fluid mechanics
Journal of the European Mathematical Society, 2018
Landau damping in finite regularity for unconfined systems with screened interactions
Communications on Pure and Applied Mathematics, 71(3): 537-576, 2018
Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation
Annals of PDE, 3(2), 2017
Suppression of blow-up in Patlak-Keller-Segel via shear flows
SIAM Journal on Mathematical Analysis, 49(6): 4722-4766, 2017
On the stability threshold for the 3D Couette flow in Sobolev regularity
Annals of Mathematics, 185(2): 541-608, 2017
Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows
Archive for Rational Mechanics and Analysis, 224(3): 1161-1204, 2017
Nonlinear echoes and Landau damping with insufficient regularity
Tunisian Journal of Mathematics, 2016
Invariant measures for passive scalars in the small noise inviscid limit
Communications in Mathematical Physics, 348(1): 101-127, 2016
The Sobolev stability threshold for 2D shear flows near Couette
Journal of Nonlinear Science, 1-25, 2016
Landau damping: paraproducts and Gevrey regularity
Annals of PDE, 2(1): 1-71, 2016
Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the 2D Couette flow
Archive for Rational Mechanics and Analysis, 219(3): 1087-1159, 2016
Dynamics near the subcritical transition of the 3D Couette flow II: Above threshold case
Memoirs of the American Mathematical Society, 2015
Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case
Memoirs of the American Mathematical Society, 2015
Large mass global solutions for a class of L1-critical non-local aggregation equations and parabolic-elliptic Patlak-Keller-Segel models
Communications in Partial Differential Equations, 40(6): 1119-1136, 2015
Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
Publications mathématiques de l'IHES, 122.1: 195-300, 2015
Blister patterns and energy minimization in compressed thin films on compliant substrates
Communications on Pure and Applied Mathematics, 68(3): 472-510, 2015
Bounded mean oscillation and the uniqueness of active scalar equations
Transactions of the American Mathematical Society, 367(5): 3095-3118, 2015
Existence, Uniqueness and Lipschitz Dependence for Patlak-Keller-Segel and Navier-Stokes in R2 with Measure-valued initial data
Archive for Rational Mechanics and Analysis, 214(3): 717-801, 2014
Inhomogeneous Patlak-Keller-Segel Models and aggregation equations with nonlinear diffusion in Rd
Discrete and Continuous Dynamical Systems - Series B, 19(5): 1279-1309, 2014
Global existence and finite time blow-up for critical Patlak-Keller-Segel models with inhomogeneous diffusion
SIAM Journal on Mathematical Analysis, 45(3): 934-964, 2013
Intermediate asymptotics for critical and supercritical aggregation equations and Patlak-Keller-Segel models
Communications in Mathematical Sciences, 9(4): 1143-1161, 2011
Global minimizers for free energies of subcritical aggregation equations with degenerate diffusion
Applied Mathematics Letters, 24(11): 1927-1932, 2011
Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion
Nonlinearity, 24(6): 1683-1714, 2011
A virtual node method for Poisson interface problems in irregular domains
Journal of Computational Physics, 229(18): 6405-6526, 2010
An amplitude formulation to reduce the pollution error in the finite element solution of time-harmonic scattering problems
IEEE Transactions on Magnetics, 44(4), 2008
Expository
A brief introduction to the mathematics of Landau damping
arXiv preprint, 2022
Lower bounds on the Lyapunov exponents of stochastic differential equations
Proceedings of the ICM, 2022
Stability of the Couette flow at high Reynolds number in 2D and 3D
Bulletin of the AMS, 56(3): 373-414, 2019
The Orr mechanism: stability/instability of the Couette flow for the 2D Euler dynamic
Proceedings of the ICM, 2018
A brief summary of nonlinear echoes and Landau damping
Proceedings of Journées EDP, 2017
Books / Monographs
The mathematical analysis of the incompressible Euler and Navier-Stokes equations: an introduction
Graduate Studies in Mathematics, American Mathematical Society, 2022
A primer on the mathematics of hydrodynamic stability at high Reynolds number
Nachdiplom series, In progress