Research

  1. Global well-posedness of the stochastic Abelian-Higgs equations in two dimensions (with Bjoern Bringmann)

  2. Random surfaces and lattice Yang-Mills (with Minjae Park and Scott Sheffield)

  3. A para-controlled approach to the stochastic Yang-Mills equation in two dimensions (with Bjoern Bringmann)

  4. Correlation decay for finite lattice gauge theories at weak coupling. (with Arka Adhikari) To appear in Ann. Probab.

  5. A state space for 3D Euclidean Yang-Mills theories. (with Sourav Chatterjee)
    Comm. Math. Phys. 405 no. 3, 2024.

  6. The Yang-Mills heat flow with random distributional initial data. (with Sourav Chatterjee)
    Comm. Partial Diff. Eq. 48 no. 2, 209-251, 2023.

  7. Correlations with tailored extremal properties. (with Peter J. Bickel)

  8. Wilson loop expectations in lattice gauge theories with finite gauge groups.
    Comm. Math. Phys., 380, 1439-1505, 2020.

  9. Central limit theorems for combinatorial optimization problems on sparse Erdős-Rényi graphs.
    Ann. Appl. Probab., 31 no. 4, 1687-1723, 2021.