Minsung Kim

Assistant professor in Department of mathematics,
Pohang University of Science and Technology (POSTECH)
77, Cheongam-ro Nam-gu, Pohang-si, Gyeongsangbuk-do 37673 Korea
minsung [at] postech.ac.kr
+82-


Success is not final, failure is not fatal: it is the courage to continue that counts. - Winston Churchill

Research Interests

Theory of parabolic dynamical systems and its connections with geometry and representation theory.

Dynamics on nilmanifolds and their probabilistic applications.

Interactions with hyperbolic dynamics.

Cohomological equations, higher rank actions and rigidity.


About me

  • Currently, I am an assistant professor at Pohang University of Science and Technology (POSTECH).

  • I received Ph.D in mathematics at University of Maryland, College Park under the supervision of Giovanni Forni.

  • During the year 2021-2022, I was a post-doctoral researcher at Nicolaus Copernicus University in Toruń, under the supervision of Krzysztof Frączek.

  • During the year 2022-2024, I was a junior visitor at Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore in Pisa, under the supervision of Stefano Marmi.

  • During the year 2024-2026, I was a post-doc researcher at KTH Royal Institute of Technology in Stockholm, under the supervision of Danijela Damjanović and Liviana Palmisano (co-advised by Marco Martens).

    • [C.V (PDF)]

    Publication

    1. Solving the cohomological equation for locally Hamiltonian flows, part II - global obstructions. (with Krzysztof Frączek)
      Proceedings of the London Mathematical Society (3) 131 (2025), no. 4. [DOI] [arXiv]

    2. Solving the cohomological equation for locally Hamiltonian flows, part I - local obstructions. (with Krzysztof Frączek)
      Advances in Mathematics 446 (2024), 109668, 61 pp. [DOI] [arXiv]

    3. New phenomena in deviation of Birkhoff integrals for locally Hamiltonian flows. (with Krzysztof Frączek)
      Journal für die reine und angewandte Mathematik (Crelle's Journal) vol. 2024, no. 807, 2024, pp. 81-149 [DOI] [arXiv]

    4. Effective equidistribution for generalized higher step nilflows.
      Ergodic Theory and Dynamical Systems, 42(12), pp. 3656-3715, December 2022 [DOI] [arXiv]

    5. Limit theorems for higher rank action on Heisenberg nilmanifold.
      Discrete and Continuous Dynamical Systems - Series A, Vol. 42, No. 9, September 2022, pp. 4347–4383 [DOI] [arXiv]


    Preprint

    1. On rapid mixing for random walks on nilmanifolds. (with Dmitry Dolgopyat and Spencer Durham)
      [arXiv]

    2. Anisotropic spaces and nil-automorphisms. (with Oliver Butterley)
      [arXiv]


    Teaching / Talks / Seminar


    车到山前必有路, 船到桥头自然直 / 闻道有先后, 术业有专攻