On Saturday, January 31, the Princeton High School Math team held the first Princeton Math Tournament (PMT). Consisting of two divisions, the tournament drew over 450 participants from elementary and middle schools across New Jersey. 

  Led by tournament co-directors Maiya Qiu ’27 and Emma Li ’26, the PHS math team began preparation for the tournament in the summer. Though the event was originally scheduled for October, it was postponed until the new year due to scheduling conflicts with other major math competitions earlier in the year. 

One of the most crucial parts of the preparation was problem-writing, with volunteers consisting of PHS students, middle schoolers, and Princeton University students. The team wrote over 500 problems, though only around 100 were used for the actual tournament.

During the tournament, participants were split into two divisions — one for grades 6–8, and the other for grades 3–5. In teams of 1–3, students competed in four rounds: a sprint round, a target round, a puzzle round, and a team round. Near the end, PMT also organized an Estimathon, a competition based around estimating results to complicated questions, such as: What is the area in square miles of the smallest non-self-intersecting hexagon that encompasses all Ivy League schools except for Cornell and Dartmouth?

“The idea [with this tournament] was [that] we wanted to create more opportunities for students in the New Jersey area, to become more interested in math … work with other students, and work with math outside of school or outside of the classroom, and maybe introduce some interesting puzzles and ideas,” said Li.

In addition to the various puzzles, PMT also invited guest speaker Professor Dieter Kotschick from the Institute of Advanced Studies to speak with parents of participating students. Inspired by the German children’s book “The Number Devil,” Kotschick’s talk focused on the value in finding joy and fun in math, which he believed was especially important for young kids participating in the tournament.

“I wanted to … emphasize to the parents that it’s very important that kids have fun and enjoy mathematics,” said Kotschick. “They’re not just sequences of numbers. There’s a kind of natural beauty in mathematical concepts.”

At the end of the tournament, prizes were awarded to the best-performing students and teams, with the highest reward being $200 for the individual winner of each division, as well as trophies and plushies for teams that placed in the top three.

“The competition was really fun … the [problems] were pretty similar to what you’d see in other national competitions,” said first-place winner Aarush Moola, an eight-grader at Community Middle School. “I think it was a really challenging but rewarding experience at the same time.”

Help from sponsors provided much of the financial support needed for the tournament. A key sponsor was the Princeton Regional Education Association (PREA), represented by Malachi Wood, a French teacher at PHS. He assisted the Princeton Math Team in securing a grant of $1,000 from PREA for food and awards. Wood emphasized the importance of showcasing how PMT helped build the community in order to receive support from PREA.

Wood also stressed that teachers played a supporting role during the PMT, as the general operations were student-led. 

“The day of the tournament, [I saw] the students registering people, organizing things, preparing things … Inside the auditorium, they were organizing the students and asking them math questions,” said Wood. 

In addition to handling operations on the day of the tournament and prior preparation, student organizers also heavily focused on outreach through a variety of media in an attempt to get middle school students and teams to sign up for the tournament. While social media outreach helped spread the word about the tournament, cooperation with administrators from participating middle schools played the biggest role in gaining sign-ups.

  “We had more than 480 sign-ups, and then around 450 of them came. So it was actually an extremely high turnout rate of around 90 percent,” said Qiu. “We actually did not expect this many students to show up.”

After the tournament concluded, the PHS math team received both constructive and positive feedback from participants. The parent of contestant Mario Luo, a fifth grader at Johnson Park Elementary School, was one of the many parents that thanked the PHS Math Team for their organization after PMT concluded.

   “My son had a wonderful time and came home truly excited about the experience,” said the parent in an email to the math team. “I really appreciate all the time and effort you and your team put into this event. It [was] honestly one of the most exciting activities in the Princeton community.”

Due to the success of this year’s tournament, the math team has high hopes for PMT’s future. They plan to continue hosting it in upcoming years, next time more prepared for the large turnout.

“I was impressed by how successful it was. I think they were expecting 300 kids or so, but they got 400 … and everything was well run and organized, from what I could see,” said Wood. “There were some difficulties in running out of supplies and so forth … [but] they were really successful.”

Photo: Katherine Chen

Britta Du, Audrey Zhang, and Ahana Roy collect their awards as the second-place team in Division A of the Princeton Math Tournament.

PHS Math team holds first Princeton Math Tournament 

On December 1, research teachers James Smirk, Jennifer Smolyn, and Insu Yi will 
release applications to the two-year research program, which consists of two elective 
classes at PHS that allow students to learn how to research, create and conduct a project, 
and compete and publish in various competitions and journals. 


In order to apply, prospective students must submit a short document summarizing 
their research interests, ask a teacher for a letter of recommendation, and complete a 
problem solving task in groups. First year students enroll in research methods, where 
they learn how to read scientific papers and complete the year with a grant-writing 
project that details the significance of their project and their procedure for carrying it 
out. Second year students enroll in research applications accelerated, where they work 
with a mentor to collect data and write a research paper.


James Smirk, one of the research teachers along with Jennifer Smolyn and Insu Yi, 
believes that the program is valuable because of the problem-solving skills and persistence 
students develop.


“I think one of the unique things about research is [that] you’re going to run into ... 
difficulties, and you really have to think deeply and meaningfully to try to overcome them 
to get to where you want to go. I think that has a lot of value outside of the academic 
sphere,” said Smirk. 


### Eleanor Nayden

On October 16, 2025, Eleanor Nayden ’26 published 
her 19-page research paper “Impact of Political Allegiance 
on H-1B Visa Acceptances to the US: An Analysis of the 
Relationship Between UNGA Voting Alignment and H-1B 
Visa Acceptances to the United States” in the Social Science 
Research Network (SSRN) — a culmination of her three 
years in the PHS Research Program. 


Nayden’s research analyzes the relation between 
countries’ political alignment to the United States and 
the acceptance rates for a country’s H1B visa applicants. 
Nayden was inspired to pursue this topic because while it 
combined her interests in economics and political science, 
it also held personal significance for her. 


“[The] entire intention with [my] research is to combine 
all my passions and all my areas of interest. I am an 
entrepreneur, I founded a nonprofit and a socially-conscious 
business, and my whole idea is to use entrepreneurship for 
social impact,” said Nayden. “[Because] my parents are 
immigrants, I see the influence of immigrants, not only 
when I read research and literature, but also through the 
impact that they amake to the U.S. economy.”


In addition to the mentorship she received from Louis 
Maiden, an empirical researcher at Harvard Business 
School, who guided her on research methodology and 
data organization methods, Nayden also credits the PHS 
research program for making her project possible.


“For my first year, [I] had Ms. Katz before she was the 
science department supervisor. I was one to ask so many 
questions and she answered all of them. Mr. Yi has been 
such a help ... he's very well regarded in the research world, 
so he's helped me through publication and applying to 
different journals and conferences ... I had Smirk junior 
year. He helped me start Stata [and] get funding for [it].”

 
Nayden looks forward to soon publishing her paper in 
the International Journal of Research and Innovation in 
Social Science, and continuing research in college


### Angelica Hu

Inspired by reading about sunscreen created from 
pineapples, Angelica Hu ’27 is researching plant-based 
sunscreen through the PHS Research Program. 


“These two compounds I'm looking at, bromelain and 
quercetin ... one's a protein, the other one is [basically] a 
plant pigment, haven't really been researched together ... I 
want to [do that],” said Hu. “It's going to have applications 
in more natural products, because sunscreens [overall] use 
chemical active ingredients, which can be harmful.”


Hu credits the introductory class of the program, 
Research Methods, in helping her distill her many interests 
into her current research topic. The summer assignment 
for incoming research students is to create an annotated 
bibliography in which they read articles about their topic 
of interest.


“[Ms. Smolyn’s] great at giving you the resources [and] 
the basics ... and then it's for you to kind of decide on 
what you want to do. There aren't many restrictions on the 
assignments. For example, for the [annotated bibliography 
summer assignment], you [can] do research on anything 
that you want,” said Hu. 


Hu is currently taking Research Applications Accelerated 
with Dr. Insu Yi. The class is much more self guided than 
Research Methods, which Hu says is helpful because it 
allows her to focus on her own personal project. 


“I scan [to see] if my orders have come in yet. I'm working 
on my methodology [right now] — I'm doing research on 
the equipment I'm going to use. I also like to chat with my 
classmates: I chat with my partner about progress [and] what 
we're going to do. I also [work on] emailing my mentees 
or emailing my mentors,” said Hu.


In addition to the analytical skills she learned, Hu also 
finds research beneficial for pursuing her passions. 
 “You get to learn how to make graphs from really complex 
data sets. You also get to explore [what] you're interested 
in [for] your career ... It helps you with communication 
[too] by contacting others. It's also ... your project. You do 
what you want to do.”


### Joanna Hou

Joanna Hou ’26 combined her interests in machine 
learning and cell behavior in her research project, which 
predicts whether certain drugs used to target age-related 
diseases can eliminate senescent cells that release harmful 
chemicals. 


“These anti-aging compounds are called senolytics, and 
what they do in the body is that they selectively target 
and then eliminate senescent cells ... [that] spread [bad] 
chemicals ... especially because senescent cells are tied to 
age related diseases such as Alzheimer’s [and] arthritis,” 
said Hou. “I took the data set that the authors of the paper 
compiled ... and I trained a ... machine learning model.”


Hou credits her mentor Lie Xie, a computer science 
professor at Northeastern University, for helping her with 
the modeling aspect of her research.


“The data set that I used from the authors was very 
imbalanced, meaning that it didn’t have a lot of actual drugs 
that were senolytics, because it’s still a pretty new field ... 
machine learning models generally require larger, larger 
amounts of data [and] I didn’t have a lot of senolytic data 
to train my model on. But eventually, I just looked around 
... and I used another training technique,” said Hou. 


Hou also credits the PHS Research Program for 
introducing her to the fundamentals of research. 


“I was introduced to ... how to read a study, how to analyze 
data, and how to write grant proposals. [And] after that we 
figured out what we wanted to do, and we would ... do that 
in [our] junior and senior years,” said Hou. 


Though Hou’s research has taken her deep into the 
intersection of technology and biology, she emphasized 
that innate talent for science is not the key to success.


 “I think what’s most important in research isn’t really ... 
natural talent for science, it’s how well you work with other 
people, how well you communicate with your mentors, 
and also how much you want to do the project, because I 
think it’s about your passion,” said Hou. “[And] with my 
own project ... there were problems where my model just 
wouldn’t work ... but you just keep pushin


Joanna Hou stands in front of her scientific poster for the 
research program’s “three minute thesis” presentation.

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