Minsung Kim

Post-doc researcher in mathematics,
KTH Royal Institute of Technology
Lindstedtsvägen 25, SE-100 44 Stockholm, Sweden
minsung [at] kth.se


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.


About me

  • 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.

  • Currently, I am 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)
      Accepted in Proceedings of the London Mathematical Society. [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 (Past)

    • Differential Equations for Scientists and Engineers (MATH 246), UMD, Spring 2020
    • Calculus III (MATH 241), UMD, Fall 2018, 2019, 2020
    • Calculus for Life Sciences II (MATH 131), UMD, Spring 2017

    车到山前必有路, 船到桥头自然直 / 闻道有先后, 术业有专攻