Essay Examples

By Anthony, ’29

Pop quiz: A bird shoots through the crisp morning air of New York City, dodging skyscrapers at a speed of thirty kilometers per hour. The sun breaks through the horizon, blinding the bird in both eyes. The bird manages to catch its reflection in the shining glass of the Empire State Building—but by that time, it’s too late. How do we use velocity, angles, distance, and force to find the point at which the glass shatters? 

For me, math is more than just numbers. It’s a mode of visualizing movement in action, the synthesis of my imagination and the physical world. When I’m problem-solving, I’m not just generating a string of numbers on paper. I’m picturing the spiral of a rollercoaster, the friction of a waterslide, and the curvature of an asteroid’s impending collision with Earth. 

In high school, when precalculus was taught as a series of step-by-step instructions, it felt like the vivid and colorful world I had come to love was being broadcast in black and white. I saw this reflected in the growing disinterest of my classmates, who saw math as a monotonous chore rather than a universal language with boundless explanatory and creative power. I had to step in. I had to show people what I saw.  

This inspired me to begin writing creative math questions for my peers. My parametric equations are not simple problems with one-step calculations– they are cinematic universes that jolt audiences with excitement. They invite others to embrace mathematics as a practice of external—and even internal—discovery that was missing in my school. 

When I present my famous “bird crashing into the window” problem students enthusiastically gather around the whiteboard to uncover its mysteries. I watch their impassioned discussions unfold with a sense of satisfaction as each drawing and scribble brings them closer to the truth. Witnessing their pride as they finally arrive at the answer reminds me of why I teach. 

I’ve since honed question-design into an art, creating math tests and exercises for Teachers Pay Teachers so that teachers around the world can give my imaginative questions to their students. I hope that students not only learn the concepts I’m teaching– but also critical thinking and reasoning that provides new ways to solve challenges in their lives. 

I have also used the medium of math beyond problem sets and assessments. As captain of the Math Olympiad, I use it to transform confused faces into laughter and excitement, to test my teammates’ courage and strengthen team bonds. When I tutor Mu Alpha Theta or teach in Wall Street Lions, it is a language of empathy and connection to connect with students with interests outside of STEM. And in CivicSpark—the non-profit I co-founded to help students gain agency through civic engagement—I deploy the logic and reasoning of math without the numbers. Through a curriculum of imaginative puzzles, I empowered students in schools across Southern California to reach out to their representatives to ignite real change. 

In this way, I have used math as a brush to paint a canvas that extends beyond the visual to what matters most—infusing life with greater meaning and heart. It is this creativity that compels me to pursue Applied Mathematics. There is no greater or more fulfilling challenge than the application of mathematics to real-life problems. However I hope to take this application a step further: If every calculation is a story, what does it mean for us to become storytellers? And how can this intellectual artistry transform the world? 

As for the bird that caught its reflection in the office window–perhaps it isn’t about the force of the collision, but what happens after. The way the shards of glass multiply a single reflection into thousands of new perspectives. The way a barrier opens to reveal spaces that were previously hidden. And the infinite possibilities of what happens next. 

Admissions Committee Comments 

Pursuing knowledge and connecting resulting discoveries to the wider world is one of the foundational pillars of the Hopkins mission. In his essay, Anthony explores the beginning of his interest in mathematics, diving into the many classrooms and personal experiences that created and strengthened it. He takes this interest, and the essay, a step further by showcasing the ways that he translated this interest into real world impact. By connecting his interest in math to work he’s done through teaching, a non-profit, and a school club, Anthony demonstrates an ability to impart his passions and knowledge through a number of different avenues. These skillsets and mindsets will allow him to take advantage of the opportunities at Hopkins and show strong alignment with the University as a whole. 

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By Emily, ’29

I stare into my bathroom mirror as I remove the mask. For the first time, I will attend high school showing my full face. I need to be beautiful, just like the girls on my TikTok feed. I examine each video, searching for the common thread. A hot pink blush gleams on each girl’s cheek. Despite the stark contrast between my pale Irish skin spattered with freckles and that of the sun-kissed influencers, I race to Target to search for the infamous Revlon Insta-Blush which comes in stick form, making it foolproof. Or, so I thought. 

On the first day of school, I optimistically swipe the stick across my face, waiting for instant beautification. But, my embarrassingly pink cheeks redden as they attract a different type of attention. I quickly banish the blush stick to the back of my makeup drawer. In need of a confidence boost, I vow to add color into my life instead of my face. 

An opportunity presents itself near the end of freshman year as I sit in World History class with my friends Hannah and Julia. Suddenly, they thrust their iPads in my face. They smirk, informing me that “Glenbard West is looking for its next weather reporter.” I join them in laughter but steal a second look at the email. My eyes betray me. Both catch my second glance. 

“Oh my gosh, Emily, I dare you!” Hannah screeches. I shrug, click the sign-up link and hastily complete the form. Later, I am invited to submit an audition video. I scoff and close the email, certain I’d quickly become a social pariah. Yet, this could be my chance to add a splash of color, to take a risk and attempt something new. I grab my umbrella as a prop, hit record and recite the script. A week later, an email entitled, CONGRATULATIONS WEATHERWOMAN!, arrives. What have I gotten myself into?! 

Suddenly, it’s time to compose my first report . . . to enter the eye of the storm. Conscious that every word will be broadcast to all of my peers, I keep it straightforward, simply presenting the forecast. Boring. I know something is missing. So, I create a catchy sign-off, “Keep it Cool in the Castle West” which references our school’s castle-like logo. 

On recording day, I stare into my bathroom mirror once again. My eyes drift toward a single tube of coral blush I had been given two years prior. Its soft, sunset orange hue in stark contrast to that TikTok trending hot pink. I slowly dab the Glossier Cloud Paint blush onto my cheeks. It gives my pale skin a natural glow, one that emulates my happiness. My confidence shines as I record my first segment. 

Later, when the broadcast projects into my classroom, my nerves take over. I bury myself into my iPad, trying to disappear. After class, I venture into the hallway, eyes glued to the floor. 

“Great job with the weather!” someone yells. Another waves. I shoot upright, scanning from one smiling face to another. As I record more and more broadcasts, even people I hadn’t known before begin to say “hi” to me across campus. I’d always been one with a small, tight circle of good friends, but unexpectedly, my social network broadens as my campus “celebrity” grows. As I forge connections with new peers, my confidence builds. I expand my role within the broadcast and my school. I no longer recite the bare minimum but rather, report on sporting events and dare to write my own jokes. Contributing to our school spirit in this small way makes me proud. By trying new things and breaking the cage of conformity, I’ve also learned to love myself and my differences from the girls on social media. I wear my coral blush with pride for the freshman girl in Target. She finally learned how to be herself. 

Admissions Committee Comments

Emily’s essay uses a variety of personal experiences to highlight how she takes risks, explores new passions, and learns about what excites and inspires her. From trying a new makeup trend to joining her school’s weather station, she shows how the journey toward understanding oneself and finding meaningful experiences is often one that requires taking chances. Hopkins values the process of discovery, both in and outside of the classroom, and Emily’s essay does an excellent job demonstrating the ways in which she has embarked upon that process. It’s clear that, at Hopkins, she would find ways to dive into a vibrant campus community and contribute in ways both old and new. 

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