Research Interests
Theory of parabolic dynamical systems and its connections with geometry and representation theory.
- Deviation of ergodic integrals for parabolic flows
Dynamics on nilmanifolds and their probabilistic applications.
- Random walks and limit theorems on nilmanifolds.
Interactions with hyperbolic dynamics.
- Ruelle resonances and applications of transfer operator methods on anisotropic spaces.
Rigidity in dynamical systems
- Cohomological equations, Local rigidity for higher rank actions.
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).
Publication
- Anisotropic spaces and nil-automorphisms. (with Oliver Butterley)
Nonlinearity 39 (2026), no. 3, Paper No. 035011.
[DOI]
[arXiv]
- 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]
- 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]
- 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]
- Effective equidistribution for generalized higher step nilflows.
Ergodic Theory and Dynamical Systems, 42(12), pp. 3656-3715, December 2022
[DOI]
[arXiv]
- 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
Recent courses taught (* for graduate courses)
-
Theory of Ordinary Diff. Equ. (MATH 412) Fall 2026, POSTECH
A quote
- 예술가로 살아가는 것은 수행이다. 수행은 하거나 하지 않거나 둘 중 하나일 수 밖에 없다. 그러므로 수행을 잘하지 못한다는 것은 말이 안된다. 그것은 마치 나는 수도승이 되는 것을 잘하지 못한다라고 말하는 것과 같다. 수도승이거나 수도승이 아니거나 둘 중 하나만 가능하다. 우리는 예술가의 작품을 결과물로 생각하는 경향이 있다. 예술가의 진짜 작품은 그가 세상에 존재하는 방식이다.
창조적 행위: 존재의 방식 p.46 / 릭 루빈.
车到山前必有路, 船到桥头自然直 / 闻道有先后, 术业有专攻