Minsung Kim

Junior visitor in Centro di Ricerca Matematica Ennio De Giorgi
Scuola Normale Superiore
Piazza dei Cavalieri 3, Pisa PI 56100, Italy
minsung.kim at sns.it


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 probability, geometry and representation theory.

Random walks on groups and limit theorems on nilmanifolds.


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 Torun, under the supervision of Krzysztof Frączek.

Currently, I am a junior visitor at Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore in Pisa, under the supervision of Stefano Marmi.

[C.V (PDF)]

Publication

  1. Solving the cohomological equation for locally Hamiltonian flows, part I - local obstructions. (with Krzysztof Frączek)
    Accepted in Advances in Mathematics [DOI] [arXiv]

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

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

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


Preprint

  1. Solving the cohomological equation for locally Hamiltonian flows, part II - global obstructions. Submitted [arXiv]
    (with Krzysztof Frączek)

  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