Research

Below are my publications and preprints. Unless otherwise stated, items within each section are ordered from most recent to oldest.

Publications

• Stationary solutions with vacuum for a hyperbolic-parabolic chemotaxis model in dimension two.
  (with S. Hertrich, T. Huang, and K. Zhao). Nonlinear Analysis: Real World Applications, 2026.
  [arXiv] [Journal]
• Computing the Roots of Twisting Sheaves over the Projective Line arising from Monodromy Representations.
  Accepted to Annali della Scuola Normale Superiore di Pisa – Classe di Scienze, December 2025.
  [arXiv] [Journal]
• Indecomposable vector-valued modular forms and periods of modular curves.
  (with L. Candelori, T. Hartland, and C. Marks). Research in Number Theory, 2018.
  [arXiv] [Journal]

Preprints and Submitted Work

• An algorithmic reduction to canonical forms for vector bundles on anisotropic conics.
  (with Eoin Mackall). Submitted.
  [arXiv]
• Singularities of the Lagrangian mean curvature flow at the critical Lagrangian phase.
  (with Arunima Bhattacharya, Ravi Shankar, and Jeremy Wall). Submitted.
  [arXiv]
• Monodromy Representations: Decomposing Rank-Three Bundles over the Projective Line with Three Marked Points.
  Submitted.
  [arXiv]