William Liu
Learn From Challenges

I am William, and I’m a senior at Princeton High School. My academic passion is in math, and I want to study applied mathematics in college. I used to play a lot of math 24 games with my dad when I was young, and I was selected to represent my school for a math 24 competition in third grade. I have also been travelling across the US for different math competitions, and participated in multiple researches using math modeling.
Beyond math, I also fence and play volleyball. I have been on the fencing varsity team for 4 years, while I also play volleyball for fun. I have been playing piano since the age of six, which is around 11 years now. I like those relatively slow and more modern pieces.
After sharing all these, I would like to share some fun facts about me. I am a good card game player, and I know how to play more than ten card games and board games. I actually have my own card games club at my school, where I can play cards with my friends and teach others how to play. I also like watching movies and listening to music. My favorite movies are the Lord of the ring series and the Harry Potter series. I really like this kind of fictional movie. While I don’t have a favorite artist, I like slow R&B and pop music in general. I am also a cat lover, and I had three Garfield cats before.
Honors for Graduation
Honors Wall
My High School Life
![]() Princeton High SchoolSenior Award Ceremony |
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![]() Princeton High SchoolSenior Award Ceremony |
![]() NCMC Summer Camp Advanced SessionThinking in guest speaker Seminar |
![]() NCMC summer camp 2025afternoon discussion session |
![]() NCMC Certificate Award |
![]() HMMT Feb 2024participated HMMT with my teammates |
![]() ARML 2025Individual session in American Regional Math League |
![]() ARML 2025My third trip to ARML, representing West Windsor Princeton Regional Team |
![]() HMMT 2024My first trip to Harvard MIT Math Tournament February contest |
![]() New Jersey High School Badminton Tournament |
![]() PHS Fall Play 2025 Clue: On Stagecast members for PHS Fall Play |
![]() American Regional Math League 2024Team High Award ARML 2024 |
![]() PUMaC 2023Met a famous Math Professor and Coach at Princeton University Math Competition |
![]() ARML 2023My first journey to American Regional Math League (WWPA team) |
![]() NJ Badminton Tournament 2023Play badminton since 3rd grade in primary school |
![]() NJ High School Badminton TournamentPlay double with my teammate |
![]() PHS Fall Play Poster |
![]() Trip to attend SMT 2025My favorite oceanside spot enroute to Stanford Math Tournament |
![]() 2025 US Start-light Talent CompetitionPiano performance competition Bronz Award |















My Research - Code and Data
Research on wildfire risk drivers
Comparative Study on the Effectiveness of Convertible Bond Pricing Models
November 2025 Advances in Economics Management and Political Sciences 204(1) DOI:10.54254/2754-1169/2025.29744
My research journey started from a two-year research program in high school, enriched by a series of research projects that connected theoretical mathematics to environmental science challenges.


























































