Publications

Journal

• Expository article: Bounded orthogonal systems and the $\Lambda(p)$-set problem by Jean Bourgain
  with H. Jung, B. Langowski and A. Ortiz
  Expositiones Mathematicae, 2025.

• Anti-concentration applied to roots of randomized derivatives of polynomials
  with A. Galligo and J. Najnudel
  in Electronic Journal of Probability, 29, 1-20 (2024).[arXiv]

• Almost sure behavior of the zeros of iterated derivatives of random polynomials
  with M. Michelen
  Electronic Communications in Probability, 29, 1-10, 2024. [arXiv]

• Zeros of a growing number of derivatives of random polynomials with independent roots
  with M. Michelen
  Proc. Amer. Math. Soc. 152 (2024), 2683-2696. [arXiv]

• On continuity properties of solution maps of the generalized SQG family
  with G. Misiolek
  Vietnam Journal of Mathematics, 52: 689-698, 2024. (For the special issue in honor of Carlos Kenig’s 70th birthday.)

• The Navier-Stokes-Cahn-Hilliard equations for mildly compressible binary fluid mixtures
  with A. Giorgini and R. Temam
  Discrete and Continuous Dynamical Systems-B, 26(1): 337-366, 2021.

Preprints

• Gradient Flows of Interfacial Energies: Curvature Agents and Incompressibility
  with K. Promislow and B. Wetton,
  Sep 2025.

• Dynamics of rotationally invariant polynomial root sets under iterated derivations
  with A. Galligo and J. Najnudel
  June 2025.

• The Fourier coefficients of the holomorphic multiplicative chaos in the limit of large frequency
  with J. Najnudel, E. Paquette and N. Simm
  February 2025.

• Non-uniform dependence on initial data of solutions to logarithmically regularized 2D Euler equations
  Sep 2025.

• Regularity of solution maps of the generalized surface quasi-geostrophic equations
  with G. Misiolek
  July 2025.

• Multi-choice customer behavior contextual bandits dynamic recommendations marketing purchase probability
  with T. Tulabandhula
  July 2025.