Hang Du

Welcome to my homepage!
I am a first-year Ph.D student at Department of Mathematics, MIT, very fortunate to be advised by Prof. Nike Sun. Before entering MIT, I got a B.S. degree in mathematics from Peking University. During my undergraduate study, I was lucky to be advised by Prof. Jian Ding and Prof. Xinyi Li.
My research interests are mainly in probability theory, and its intersection with combinatorics, statistical physics and theoretical computer science.
My email address is hangdu at mit dot edu.
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Curriculum Vitae

Here is my CV (last updated at Oct, 2022).

Research works

  • Low-degee hardness of detection for correlated Erdős–Rényi graphs (with J. Ding and Z. Li), submitted, arXiv.

  • The algorithmic phase transition of random graph alignment problem (with S. Gong and R. Huang), submitted, arXiv.

  • Percolation threshold for metric graph loop soup (with Y. Chang and X. Li), to appear in Bernoulli, arXiv.

  • A Polynomial-time approximation scheme for the maximal overlap of two independent Erdős–Rényi graphs (with J. Ding and S. Gong), Random Structures and Algorithms, arXiv, journal.

  • Sharp estimates for probabilities of arm events in critical plannar percolation (with Y. Gao, X. Li and Z. Zhuang), to appear in Communications in Mathematical Physics, arXiv.

  • Matching recovery threshold for correlated random graphs (with J. Ding), Annals of Statistics, arXiv, journal.

  • Detection threshold for correlated Erdős-Rényi graphs via densest subgraphs, (with J. Ding), IEEE Transanction on Information Theory, arXiv, journal.

    Expository writting

  • Phase transition on the maximal overlap of two independent random geometric graphs, course project for Algorithnic Statistics (6.S896, @MIT EECS).

  • A glimpse into Schramm-Loewner evolution, REU program at University of Chicago.

    Seminars

    I organize or co-organize the following seminars:

  • Xiaohe seminar on probability, Peking University, spring 2023.

  • Student seminar on discrete probability, Peking University, fall 2022.

  • Student seminar on Brownian motion, Peking University, fall 2021.

    Talks

  • NYU Shanghai special math seminar, Informational thresholds for questions in the correlated random graph model, May 2023.

  • Sichuan University probability seminar, Informational thresholds for questions in the correlated random graph model, April, 2023.

  • THU-PKU-BNU joint probability webinar, Random graph matching problem and some recent progresses, Oct 2022.

  • AMSS colloquia & seminars, The convergence of loop-erased random walk to SLE_2, Sep 2022.