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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 & occasionally contain more technical details)
Publications (arXiv versions are kept up to date & occasionally contain more technical details)
arXiv journal bib | Balanced multi-species spin glasses. (with Youngtak Sohn) Preprint.
arXiv journal bib | Permutation invariance in last-passage percolation and the distribution of the Busemann process. (with Elnur Emrah, James Martin, Timo Seppäläinen, Evan Sorensen) Probab. Theory Related Fields. To appear (available online), 66 pp.
arXiv journal bib | A new combinatorial interpretation of partial sums of m-step Fibonacci numbers. (with Blan Morrison, Mason Rogers, Arianna Serafini, Anav Sood) J. Integer Seq. 28 (2025), article no. 25.6.6, 22pp.
arXiv journal bib | Parisi formula for balanced Potts spin glass. (with Youngtak Sohn) Comm. Math. Phys. 405 (2024), no. 10, paper no. 228, 68 pp.
arXiv journal bib | An upper bound on geodesic length in 2D critical first-passage percolation. (with David Harper, Xiao Shen, Evan Sorensen) Electron. J. Probab. 30 (2025), article no. 137, 75 pp.
arXiv journal bib | Intertwining the Busemann process of the directed polymer model. (with Wai-Tong (Louis) Fan, Timo Seppäläinen) Electron. J. Probab. 30 (2025), article no. 50, 80 pp.
arXiv journal bib | Crisanti–Sommers formula and simultaneous symmetry breaking in multi-species spherical spin glasses. (with Youngtak Sohn) Comm. Math. Phys. 394 (2022), no. 3, 1101–1152.
arXiv journal bib | Free energy in multi-species mixed p-spin spherical models. (with Youngtak Sohn) Electron. J. Probab. 27 (2022), article no. 52, 75 pp.
arXiv journal bib | Empirical measures, geodesic lengths, and a variational formula in first-passage percolation. Mem. Amer. Math. Soc. 293 (2024), no. 1460, xi+92 pp.
arXiv journal bib | Avoidance couplings on non-complete graphs. (with Moumanti Podder) Random Structures Algorithms. 59 (2021), no. 1, 25–52.
arXiv journal bib | Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape. (with Shirshendu Ganguly, Alan Hammond) Electron. J. Probab. 27 (2022), paper no. 1, 44 pp.
arXiv journal bib | Full-path localization of directed polymers. Electron. J. Probab. 26 (2021), article no. 74, 24 pp.
arXiv journal bib | Localization and free energy asymptotics in disordered statistical mechanics and random growth models. Ph.D. thesis.
arXiv journal bib | Localization in Gaussian disordered systems at low temperature. (with Sourav Chatterjee) Ann. Probab. 48 (2020), no. 6, 2755–2806.
arXiv journal bib | Fluctuation lower bounds in planar random growth models. (with Sourav Chatterjee) Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020), no. 4, 2406–2427.
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), article no. 30, 45 pp.
arXiv journal bib | The endpoint distribution of directed polymers. (with Sourav Chatterjee) Ann. Probab. 48 (2020), no. 2, 817–871.
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.
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