Papers:

• On the rigidity of sloped height functions in (d\ge 3) and non-crossing surfaces

        with Reza Gheissari and Ron Peled                                                                                      

        Preprint, arXiv:2609.01499                       

• Graph distance and effective resistance of the random walk trace in four and five dimensions

with Izumi Okada and Daisuke Shiraishi                                                     Preprint, arXiv:2608.23135. 

• Phase transition on the fluctuation of the structure of random walk ranges
  with Izumi Okada
  Preprint, arXiv:2602.07304.

• Moderate deviations for the capacity of the random walk range in dimension four
  with Izumi Okada
  The Annals of Probability 54 (2026), no. 4, 1641–1685.

• Uniform-in-temperature locality estimates for weakly interacting quantum systems
  with Joscha Henheik, Marius Lemm, and Tom Wessel
  Preprint, arXiv:2508.15907.

• Capacity of the range of random walk: Moderate deviations in dimensions 4 and 5
  with Jiyun Park
  Probability Theory and Related Fields(to appear), Preprint, arXiv:2507.05585.

• The longest increasing subsequence of Brownian separable permutons
  with Jacopo Borga, Thomas Budzinski, William Da Silva, and Delphin Sénizergues
  Preprint, arXiv:2506.19123.

• Strassen’s LIL and a phase transition for the capacity of the random walk under diameter constraints
  with Izumi Okada
  Preprint, arXiv:2503.12728.

• Correlation decay for finite lattice gauge theories at weak coupling
  with Sky Cao
  The Annals of Probability 53 (2025), no. 1, 140–174.

• An invariance principle for the 1D KPZ equation
  with Sourav Chatterjee
  The Annals of Probability 52 (2024), no. 6, 2019–2050.

• Eigenstate thermalization hypothesis for generalized Wigner matrices
  with Sofiia Dubova, Changji Xu, and Jun Yin
  Electronic Journal of Probability 29 (2024), 1–33.

• Wilson loop expectations for non-Abelian finite gauge fields coupled to a Higgs boson at low and high disorder
  Communications in Mathematical Physics 405 (2024), article 117.

• Spectral gap estimates for mixed p-spin models at high temperature
  with Christian Brennecke, Changji Xu, and Horng-Tzer Yau
  Probability Theory and Related Fields 189 (2024), 879–907.

• Universal eigenvalue statistics for dynamically defined matrices
  with Marius Lemm
  Journal d’Analyse Mathématique 153 (2024), 169–218.

• Spectral measure for uniform d-regular digraphs
  with Amir Dembo
  Preprint, arXiv:2310.14132.

• Deviations of the intersection of Brownian motions in dimension four with general kernel
  with Izumi Okada
  Preprint, arXiv:2304.12101.

• Local law and rigidity for unitary Brownian motion
  with Benjamin Landon
  Probability Theory and Related Fields 187 (2023), 753–815.

• Local law for singular values of oscillatory matrices
  with Marius Lemm
  International Mathematics Research Notices 2023 (2023), no. 5, 3907–3947.

• Global eigenvalue distribution of matrices defined by the skew-shift
  with Marius Lemm and Horng-Tzer Yau
  Analysis & PDE 14 (2021), no. 4, 1153–1198.

• Bose–Einstein condensation beyond the Gross–Pitaevskii regime
  with Christian Brennecke and Benjamin Schlein
  Annales Henri Poincaré 22 (2021), 1163–1233.

• Dynamical approach to the TAP equations for the Sherrington–Kirkpatrick model
  with Christian Brennecke, Per von Soosten, and Horng-Tzer Yau
  Journal of Statistical Physics 183 (2021), article 35.

• Dyson Brownian motion for general β and potential at the edge
  with Jiaoyang Huang
  Probability Theory and Related Fields 178 (2020), 893–950.

• Free energy of the quantum Sherrington–Kirkpatrick spin-glass model with transverse field
  with Christian Brennecke
  Journal of Mathematical Physics 61 (2020), no. 8.

• Edge universality of correlated Gaussians
  with Ziliang Che
  Electronic Journal of Probability 24 (2019), paper no. 44, 25 pp.