Nhok Tkhai Shon Ngo

I am a PhD student in Hausel group in Institute of Science and Technology Austria.

Before that, I studied mathematics at the V. N. Karazin Kharkiv National University. My bachelor thesis was supervised by Mykola Nessonov.

My research interests include representation theory, mathematical physics and Lie theory. Currently, I am working with the big algebras recently introduced by Hausel using their connections to geometry and algebras arising in integrable systems (e.g. Bethe subalgebras in Yangians). I am also interested in representation-theoreric aspects of "infinite-dimensional groups", e.g. their characters and factor-representations. I am supported by the DOC Fellowship of the Austrian Academy of Sciences.

Papers and preprints

  • Nhok Tkhai Shon Ngo, Big algebra in type A for the coordinate ring of the matrix space (2025), preprint available at arxiv:2501.04605.
  • Nikolay Nessonov, Nhok Tkhai Shon Ngo, Indecomposable characters on direct limit of symmetric groups with diagonal embeddings (2022), preprint available at arXiv:2206.01964, published version: Represent. Theory 29 (2025), 256-288, link.
  • Nhok Tkhai Shon Ngo, GL_n-structure and principal sl_2-triple on the cohomology ring of complex Grassmannian (2021), preprint available at arXiv:2111.08754.

    • Drafts

  • Nhok Tkhai Shon Ngo, Big algebra in type A for the coordinate ring of the matrix space (2024).
  • Nhok Tkhai Shon Ngo, Classical and quantum family algebras of the fundamental representations of gl_n (2022).

    • Talks

    Indecomposable characters on semidirect product of S_{\infty} and T^{\infty} with block-diagonal embeddings, Conference "Ergodic group actions and unitary representations III", IM PAN, Warsaw, February 2026 (organized as part of the Simons Semester "Invariant Structures in Groups, Spaces, and Algebras").

    Hausel's big algebras and Bethe subalgebras of the Yangian of gl_n, Algebraic Geometry Seminar, Université du Québec à Montréal, Montreal, January 2026.

    Hausel's big algebras, commuting differential operators and Bethe subalgebras of the Yangian of gl_n, Workshop "New perspectives in quantum representation theory", ICMS, Bayes Centre, Edinburgh, November 2025.

    Hausel's big algebras, commuting differential operators and Bethe subalgebras of the Yangian of gl_n, Séminaire "Groupes de Lie et espaces de modules", Université de Genève, Geneva, November 2025.

    Hausel's big algebras, commuting differential operators and Bethe subalgebras of the Yangian of gl_n, Seminar "Algebra and Number Theory", Universität Wien, Vienna, October 2025.

    The approximation theorem for the characters of "big" groups, Ergodic group actions and unitary representations seminar, online, December 2024.

    Indecomposable characters on direct limit of symmetric groups with with diagonal embeddings, UK-Poland-Ukraine trilateral international meeting, IM PAN, Warsaw, October 2024.

    Indecomposable characters on direct limit of symmetric groups with with diagonal embeddings, Conference "Ergodic group actions and unitary representations", IM PAN, Warsaw, June 2024.

    Contact information

    My e-mail address is nhoktkhaishon[dot]ngo[at]ista[dot]ac[dot]at.

    Institute of Science and Technology Austria (ISTA)
    Am Campus 1
    3400 Klosterneuburg
    Austria

    You can find me in the office I21.O3.115 on the third floor of the Office Building West.

    Miscellaneous

    The website of CAPS (Czech-Austrian-Polish-Slovak Match), a mathematical olympiad organized by a group of students at ISTA.

    The website of International Centre for Mathematics in Ukraine (ICMU).