Senior Holden Mui appreciates the details in mathematics and music. A well-written orchestral piece and a well-designed competitive math problem both require a certain flair and a well-tuned sense of how to keep an audience's interest.
"People want fresh, new, non-recycled approaches to math and music," he says. Mui sees his role as a guide of sorts, someone who can take his ideas for a musical composition or a math problem and share them with audiences in an engaging way. His ideas must make the transition from his mind to the page in as precise a way as possible. Details matter.
A double major in math and music from Lisle, Illinois, Mui believes it's important to invite people into a creative process that allows a kind of conversation to occur between a piece of music he writes and his audience, for example. Or a math problem and the people who try to solve it. "Part of math's appeal is its ability to reveal deep truths that may be hidden in simple statements," he argues, "while contemporary classical music should be available for enjoyment by as many people as possible."
Mui's first experience at MIT was as a high school student in 2017. He visited as a member of a high school math competition team attending an event hosted and staged by MIT and Harvard University students. The following year, Mui met other students at math camps and began thinking seriously about what was next.
"I chose math as a major because it's been a passion of mine since high school. My interest grew through competitions and continued to develop it through research," he says. "I chose MIT because it boasts one of the most rigorous and accomplished mathematics departments in the country."
Mui is also a math problem writer for the Harvard-MIT Math Tournament (HMMT) and performs with Ribotones, a club that travels to places like retirement homes or public spaces on the Institute's campus to play music for free. He cites French composer Maurice Ravel as one of his major musical influences.
Mui studies piano with Timothy McFarland, an artist affiliate at MIT, through the MIT Emerson/Harris Fellowship Program , and previously studied with Kate Nir and Matthew Hagle of the Music Institute of Chicago. He started piano at the age of five and cites French composer Maurice Ravel as one of his major musical influences.
As a music student at MIT, Mui is involved in piano performance, chamber music, collaborative piano, the MIT Symphony Orchestra as a violist, conducting, and composition.
He enjoys the incredible variety available within MIT's music program. "It offers everything from electronic music to world music studies," he notes, "and has broadened my understanding and appreciation of music's diversity."
Collaborating to create
Throughout his academic career, Mui found himself among like-minded students like former Yale University undergraduate Andrew Wu. Together, Mui and Wu won an Emergent Ventures grant. In this collaboration, Mui wrote the music Wu would play. Wu described his experience with one of Mui's compositions, " Poetry ," as "demanding serious focus and continued re-readings," yielding nuances even after repeated listens.
Another of Mui's compositions, " Landscapes ," was performed by MIT's Symphony Orchestra in October 2024 and offered audiences opportunities to engage with the ideas he explores in his music.
One of the challenges Mui discovered early is that academic composers sometimes create music audiences might struggle to understand. "People often say that music is a universal language, but one of the most valuable insights I've gained at MIT is that music isn't as universally experienced as one might think," he says. "There are notable differences, for example, between Western music and world music."
This, Mui says, broadened his perspective on how to approach music and encouraged him to consider his audience more closely when composing. He treats music as an opportunity to invite people into how he thinks.
Creative ideas, accessible outcomes
Mui understands the value of sharing his skills and ideas with others, crediting the MIT International Science and Technology Initiatives (MISTI) program with offering multiple opportunities for travel and teaching. "I've been on three MISTI trips during IAP [Independent Activities Period] to teach mathematics," he says.
Mui says it's important to be flexible, dynamic, and adaptable in preparation for a fulfilling professional life. Music and math both demand the development of the kinds of soft skills that can help him succeed as a musician, composer, and mathematician.
"Creating math problems is surprisingly similar to writing music," he argues. "In both cases, the work needs to be complex enough to be interesting without becoming unapproachable." For Mui, designing original math problems is "like trying to write down an original melody."
"To write math problems, you have to have seen a lot of math problems before. To write music, you have to know the literature - Bach, Beethoven, Ravel, Ligeti - as diverse a group of personalities as possible."
A future in the notes and numbers
Mui points to the professional and personal virtues of exploring different fields. "It allows me to build a more diverse network of people with unique perspectives," he says. "Professionally, having a range of experiences and viewpoints to draw on is invaluable; the broader my knowledge and network, the more insights I can gain to succeed."
After graduating, Mui plans to pursue doctoral study in mathematics following the completion of a cryptography internship. "The connections I've made at MIT, and will continue to make, are valuable because they'll be useful regardless of the career I choose," he says. He wants to continue researching math he finds challenging and rewarding. As with his music, he wants to strike a balance between emotion and innovation.
"I think it's important not to pull all of one's eggs in one basket," he says. "One important figure that comes to mind is Isaac Newton, who split his time among three fields: physics, alchemy, and theology." Mui's path forward will inevitably include music and math. Whether crafting compositions or designing math problems, Mui seeks to invite others into a world where notes and numbers converge to create meaning, inspire connection, and transform understanding.
