远眺

Hi! Welcome to Haoran Liang’s (梁浩然) homepage.

As the name suggests, this website aims to document some of the beautiful scenery along Haoran’s journey through mathematics, literature, and the arts.

Haoran joined King’s College London in summer 2024 as a PhD student under the supervision of Prof. Payman Kassaei and Prof. Fred Diamond. He is also fortunate to be associated with the LSGNT programme. Previously, he completed his master’s degree at ETH Zürich and his bachelor’s degree at Xi’an Jiaotong University.

He is a big fan of number theory with broad interests in its connections to other areas of mathematics. He considers himself an apprentice in the art of “applying mathematics” — that is, borrowing whatever tools are available to tackle problems in number theory. Currently, he is particularly drawn to the following topics:

• p-adic automorphic forms, (families of) Galois representations, and eigenvarieties;
• Iwasawa theory, especially p-adic L-functions;
• geometry of Shimura varieties;
• ······

When not struggling with mathematics, he can usually be found reading, playing badminton, or exploring museum exhibits (ideally with a good audioguide). Before the rise of AI, he greatly enjoyed playing Go; nowadays, he is learning to appreciate its artistry in the post-AI era.

Here are two maps showing the Chinese provinces and countries around the world he has visited, generated using 神奇海螺试验场 (which contains a lot of fun stuff):

The maps use the following scoring system:

• 5 pts (red) for long stays (at least 1 year);
• 4 pts (orange) for short stays (at least 1 month);
• 3 pts (yellow) for trips;
• 2 pts (green) for business;
• 1 pt (blue) for passing through;
• 0 pts (purple) for planned trips;
• 0 pts (white) if he’s never been there before.