Ziyang Liu

I am Ziyang Liu(刘子阳, pronounced as lau4 zi2 joeng4). I am a third-year PhD student under the supervision of Prof. Nikolaos Zygouras, funded by Warwick Chancellor's International Scholarship.

My interests lies in stochastic analysis, in particular stochastic partial differential equations and directed polymer in random environments.

Contact: ziyang.liu.1@warwick.ac.uk

Background:

2018-2021 BSc in Mathematics University of Bristol

2021-2022 MSc in Mathematical Sciences(OMMS) University of Oxford

Teaching:

2023-2025 MA271 Mathematical Analysis 3 Teaching assistant

2023-2025 MA4N5 Symmetric functions and Integrable probability Teaching assistant

Talks and activities:

• In June 2024, I gave a talk in Warwick junior analysis and probability seminar titled 'moments of the stochastic heat flow at criticality'.
• In 2023, I gave a talk on alternative proof of stochastic estimates in a reading group on flow equation approach to singular SPDEs.
• In 2022, I gave a talk on graphical notations and the fourth moment theorem in a reading group on malliavin calculus.

Writings and preprints:

Z. Liu, N. Zygouras, On the moments of the volume of shrinking balls under the Critical 2d Stochastic Heat
Flow, arXiv:2410.14601, (2024)