Research

I am broadly interested in probability, particularly its intersections with statistical mechanics, mathematical physics, analysis, and combinatorics.


Publications (arXiv versions are kept up to date):

  • Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape. (with Shirshendu Ganguly, Alan Hammond) Preprint. arXiv journal bib
  • Full-path localization of directed polymers. Preprint. arXiv journal bib
  • Localization and free energy asymptotics in disordered statistical mechanics and random growth models. Ph.D. thesis. arXiv
  • Localization in Gaussian disordered systems at low temperature. (with Sourav Chatterjee) Preprint. arXiv journal bib
  • Fluctuation lower bounds in planar random growth models. (with Sourav Chatterjee) Ann. Inst. Henri Poincaré Probab. Stat. To appear. arXiv journal bib
  • Replica symmetry breaking in multi-species Sherrington–Kirkpatrick model. (with Leila Sloman, Youngtak Sohn) J. Stat. Phys. 174 (2019), no. 2, 333–350. arXiv journal bib
  • An upper bound on the size of avoidance couplings. (with Lisa Sauermann) Combin. Probab. Comput. 28 (2019), no. 3, 325–334. arXiv journal bib
  • Localization of directed polymers with general reference walk. Electron. J. Probab. 23 (2018), paper no. 30, 45 pp. arXiv journal bib
  • The endpoint distribution of directed polymers. (with Sourav Chatterjee) Ann. Probab. To appear. arXiv journal bib
  • Altered brain network dynamics in youths with autism spectrum disorder. (with Evie Malaia, Benjamin Seitzman, Katherine Coppess) Exp. Brain Res. 234 (2016), no. 12, 3425–3431. journal