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IMD organizes an online six-week summer research program for advanced high school students. The program runs roughly from late June until early August. Students work in groups on projects of various scope and difficulty, tailored to their backgrounds and interests. Most of the projects are hands-on as they involve analysis of real-life data from elections or the census. Students typically meet twice a week with a mentor, as well as with each other so they can work on the projects together. All students and faculty also meet once a week for guest lectures given by prominent mathematicians and democracy reformers. One session is dedicated to a discussion of the college application process and the final session consists of presentations of the projects (here are some of the presentations from the 2025 program*).

Some of the past projects include the study of the influence of court decisions on measures of gerrymandering (the efficiency gap, partisan bias, and Polsby-Popper score), the effect of alternative sizes and apportionments of House of Representatives on presidential elections, empirical analysis of the Median Voter Theorem, and modeling of proportional representation and multi-member districts in the U.S.

The application process for the 2026 program is closed. If you are an applicant, we will notify you of our decision in early April.

If you have any questions, feel free to write to us at contact@math-democracy.org.

See below for more information about the High School Summer Research Program from past years.

*Support for the 2025 IMD High School Summer Research Program was provided by the Mathematical Association of America and the Mary P. Dolciani Halloran Foundation.

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Current Students

2026

Ronit Banga

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Ronit Banga is a rising senior at Germantown Academy in Pennsylvania with interests in finance, entrepreneurship, and applied mathematics. He is particularly interested in how data and quantitative analysis can be used to better understand economic systems, public policy, and decision-making. At IMD, he looks forward to exploring real-world datasets and using mathematical approaches to analyze democratic systems and the structures that shape them.

Arlan Bartfeld

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Arlan Bartfeld is a rising senior in Miami, Florida, fascinated by Computer Science, Political Science, and Math. He enjoys analyzing polling data, viewing demographic trends, and creating his own election predictions. He is extremely excited to conduct research with like-minded peers at IMD in Political Data Science, an area he is deeply passionate about.

Reese Cartwright

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Reese Cartwright is a rising senior at Vanguard High School in Florida. She’s especially interested in how mathematical reasoning can help us understand social and educational policy, and loves thinking about how systems and structures shape real‑world outcomes. She’s excited to explore how data and quantitative tools can support stronger, more equitable democratic processes at IMD this summer.

Cloe Chai

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Cloe Chai is a rising senior at Proof School in San Francisco, California. She’s interested in exploring how theoretical mathematics can become a tool in the fields of social science, electoral politics, and economics. She’s grateful and excited to learn and work at IMD this summer!

Richard Chen

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Richard Chen is a rising senior from Saratoga High, situated on the California coast. He is interested in political science, especially approaching it using applied research methods. This summer, he hopes to uncover how mathematics can model real-world democratic issues and inform decisions that protect our freedoms.

Jenny Chu

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Jenny Chu is a rising senior at The Hockaday School in Dallas, Texas. She’s broadly interested in patterns of human connection and applied math modeling, and how they can be explored together to inform a more diverse and equitable America. Beyond STEM, she deeply enjoys writing poetry and making Spotify playlists. She’s excited to learn and work with IMD this summer!

Eugenia Evangelinos

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Eugenia Evangelinos is a rising senior at Phillips Academy Andover. She is passionate about applied math and how it can be used to improve people’s lives. She has always been an avid reader of the news and is excited to combine her interest in understanding government policies with her love for all things math at IMD this summer!

Raina Gao

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Raina Gao is a rising senior at Thomas Jefferson High School for Science and Technology in Alexandria, Virginia. She has long been interested in mathematics and human behavior and has become increasingly interested in public policy. At IMD, she is especially excited to use data and mathematical models to study representation and fairness, and she hopes her research can help inform future policy decisions.

Arjun Grandhe

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Arjun Grandhe is a rising senior from Albuquerque, New Mexico. He first developed an interest in politics through Speech & Debate, and has always been interested in using math to model real world issues. At IMD, he hopes to improve his modeling skills and learn more about the American political system.

Brady Kanter

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Brady Kanter is a rising senior at Phillips Academy Andover in Massachusetts, from San Francisco, CA. He is interested in learning more about the human side of numbers, how math is another lens through which to gain insight into society. He believes that participating in research with IMD will allow his to explore real-world applications of statistics and how they influence various aspects of the political atmosphere, including policy changes, voting patterns, and more.

Siddharth Karuturi

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Siddharth Karuturi is a rising senior from Illinois with a strong passion for economics and mathematics. At IMD, he is excited to explore how these disciplines intersect with democracy, public policy, and government in the United States. He is especially interested in research, competition mathematics, and applying quantitative thinking to real-world societal challenges. Outside of academics, Siddharth enjoys watching comedy films and playing basketball.

Islam Khalaf

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Islam Khalaf is a rising senior from Cairo, Egypt. He plans to study data science and machine learning, with a specific interest in how data intersects with finance, politics, and human behavior. Outside of academics, he enjoys weightlifting and training mixed martial arts.

Alexander Kiselgof

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Alexander Kiselgof is a rising senior at Brooklyn Technical High School in New York City. He is passionate about applied mathematics and hopes to pursue it in college and beyond through research. Alex is especially interested in bioinformatics and public health, and he is excited to learn how mathematical tools can be used to better understand real-world issues that affect communities. Through the Institute for Mathematics and Democracy’s summer program, he looks forward to exploring the connection between applied math, public policy, and meaningful social change.

Om Lala

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Om Lala is a rising senior at Gretchen Whitney High in Cerritos, California. He’s interested in all walks of mathematics, but he’s currently most interested in Game Theory and Differential Geometry. He’s deeply interested in Machine Learning, where he works specifically on problems in AI Safety. Om is Secretary General of his school’s MUN program, Class President, and actively involved in local policy work. Om is excited to utilize his mathematical and computational toolset to explore interesting problems in Public Policy and Political Science with IMD!

Jason Lee

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Jason Lee is a rising senior at Dwight-Englewood School in New Jersey. He is interested in how mathematics can help address societal challenges, from public health to institutional fairness in democratic systems. Using quantitative, data-driven approaches, he seeks to identify where such systems fall short and explore reforms that strengthen processes and promote fairness.

Wenhao Lu

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Wenhao Lu is a rising senior at Millburn High School in New Jersey. He has always been interested in math, AI, and social good, and is excited to explore their intersection this summer at IMD. He is also interested in AI safety and strengthening democracy by making systems more accessible and less of a black box.

Sasha Ordukhanyan

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Sasha Ordukhanyan is a rising senior at Stuyvesant High School in New York City. He is a member of both his school’s math team and math modeling team, and is very interested in all the ways in which math can be applied to solve real-world problems. He looks forward to gaining more experience conducting research and modeling real-world issues at IMD. Outside of math, he enjoys playing the piano and is an avid Knicks fan. A fun fact about him is that he also speak Russian, Armenian, and Spanish.

Soham Pradhan

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Soham Pradhan is interested in mathematics as a foundation for thinking rigorously about complex systems, especially in areas like probability and optimization that directly connect to machine learning. In ML, he’s drawn to building models that learn from data in meaningful ways, and he’s also interested in how these tools intersect with governance, particularly how data-driven systems can improve decision-making, policy design, and institutional accountability.

Danica Scofield

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Danica Scofield is a rising senior at Blaine High School in Minnesota. She is interested in politics, public policy, and addressing real-world challenges. At IMD, she is very excited to research the intersection of mathematics and political science, particularly how data can contribute to more equitable outcomes for underrepresented communities. Outside of her academic interests, Danica is a competitive pianist who enjoys performing for large audiences.

Taison Scofield

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Taison Scofield is a rising senior from Blaine High School, MN. He is passionate about mathematics (especially combinatorics and probability), and the use of quantitative reasoning to better understand complex societal systems. At IMD, he is excited to explore how mathematical models and data-driven research can increase equality and solve paradoxes in voting systems. Taison enjoys math competitions, cello, and tennis.

Mrinalini Sensarma

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Mrinalini Sensarma is a rising senior at Inventure Academy in Bangalore, India. She has always loved both mathematics and the social sciences, and is especially fascinated by the intersection of mathematics, economics, and democratic systems. Curious about how data and quantitative reasoning can be used to better understand societal challenges, she is excited to explore the application of mathematical ideas to real-world political questions at IMD.

Stella Seong

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Stella Seong is a rising senior at Phillips Academy in MA, but usually resides in the suburbs of Northern NJ. She dedicates her free time to compiling pink noise playlists, buying semi-permanent hair dye, playing Redactle, and doing some occasional math. Her favorite perfect square is 49 or 81.

Pragyan Shukla

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Pragyan Shukla is a high school researcher from India with a strong focus on pure mathematics, particularly number theory. He is currently engaged in research-oriented learning and mentorship through leading academic environments, including work connected with premier research institutes in India. Pragyan is deeply interested in foundational problems in mathematics and in promoting early research culture among young students, especially from underrepresented regions. He is excited to contribute to and grow within an international summer research community.

Emma Wong

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Emma Wong is a rising junior from Long Island, New York. She has interests in community advocacy and public policy, and has previously interned on finance and voter outreach branches on political campaigns. She also is passionate about research on social issues and public health disparities. She looks forward to meeting and working with the rest of IMD’s 2026 High School Research cohort!

Andy Zhang

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Andy Zhang is a current junior at Basis Independent Fremont. He is interested in machine learning and linear algebra. Additionally, he enjoys playing badminton with his friends and going for runs.

Zifei Zhao

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Zifei Zhao is a rising senior at Langley High School in McLean, VA. She is passionate about using math and computer science to create quantitative models that explore real-world problems. At IMD, she hopes to research how math modelling can address modern issues in democracy.

Zifan Zhao

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Zifan Zhao is a rising senior at Langley High School in McLean, Virginia. He is passionate about mathematics, computer science, current events, and history. At IMD, he hopes to apply mathematical modeling to governmental processes to find solutions for the challenges our democracy faces today.

Paige Zhu

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Paige Zhu is a rising senior at Phillips Academy Andover interested in math and statistics. She is excited to get involved with the IMD program and learn more about the applications of math in politics. In her free time, she enjoys reading, playing tennis, and making Spotify playlists.

Former Students

2025

Siddhi Bharadwaj

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Siddhi is a rising senior at Pleasant Valley High School in Iowa. She has always enjoyed math and social studies and is excited to explore the intersection of these fascinating subjects this summer. She is interested in public health and is currently working to raise awareness about iron-deficiency in women. She can’t wait to embark on this journey with IMD!

Boston Bulis

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Boston Bulis is a rising senior at Newton South High School in Massachusetts with a passion for government, reducing political polarization, and understanding how policy and legislation impact different communities. They love all things math and are especially excited to explore its applications in real-world, democratic issues. On weekends, Boston enjoys researching and debating a range of topics with their high school’s debate team (PF). They’re particularly interested in number theory and group theory, and how abstract math connects to systems of governance. This summer, Boston is thrilled to be pursuing research at IMD, and is passionate about exploring the intersection of mathematics, politics, and democracy. In their free time, they enjoy throwing pottery and making short films.

Aditya Chiduruppa

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Aditya Chiduruppa is a rising senior at Lexington High School in Massachusetts. He is drawn to mathematical and machine learning methods that tackle real-world problems, especially in areas where data-driven decisions shape society. At IMD, Adi looks forward to exploring the use of computational research methods to help strengthen democratic systems in ways that promote fairness and access.

Alexandra Cirino

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Alexandra is a rising junior at Shorecrest Preparatory School. As someone passionate about both mathematics and social justice, Alex is excited to explore how quantitative tools can support more equitable democratic systems. She serves as the president of her school’s feminism club, where she leads discussions and initiatives focused on gender equity and civic awareness. Through the Institute for Mathematics and Democracy’s summer program, she hopes to connect her interest in advocacy with data-driven research that informs real-world change.

Truman Edell

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My name is Truman Edell and I am from New York, New York. I am an American patriot and history buff, my summers have been spent interning at Congress in DC, where I worked on tax and educational access policy as well as taking college-level math-driven, public policy coursework. During the school year, while enrolled at Ramaz, my free time is spent working with those in need through UJA’s PACT program, at swim and krav maga practice or editing a novel I wrote with my best friend. Fun fact: I am a certified deep, open-water scuba rescue diver (like an underwater emergency medical technician).

Erik Hill

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Erik Hill is a rising freshman at Rice University where he plans to double major in computational applied mathematics and economics. He is passionate about finding ways to use rigorous mathematical methods to approach real-world problems. He aspires to pursue a career in research where he can continue to use his mathematical ability’s to benefit humanity.

Jeev Hora

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Jeev Hora is a rising Illinois senior interested in math, statistics and social science. He’s always been interested in these fields, and wants to explore their intersection through IMD. At IMD, he’s interested in being with a community of like-minded peers who want to use the mathematical and statistical sciences for good.

Gabrielle Licayan

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Gabby Licayan is a rising senior at Thomas Jefferson High School for Science and Technology in Alexandria, Virginia with a strong passion in politics, civic engagement, and public policy. They are excited to explore how data and mathematics can be used to strengthen democracy and drive positive change in our society, specifically in policy-making.

Rohan Licht

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I am a rising senior at Belmont High School in Massachusetts, and I’m excited to research the intersection of math and politics at IMD. Politics are usually seen as very subjective, and applying math to politics in order to better understand certain processes and decisions is a fascinating way to remove some of the ambiguity that comes with studying something like politics.

Serena Pallan

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I’m a junior from Baltimore, Maryland, and this is my third year with the Institute of Math and Democracy! My research at IMD is focused on exploring generalizations of Condorcet paradoxes within voting sets that follow a one-dimensional spatial structure.

Rishan Paul

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Rishan Paul is a rising senior at Eastlake High School in Sammamish, Washington. I’ve always had a deep passion for politics and mathematics, and I am ecstatic to combine the two interests into one. I’ve been hooked on both since I watched a political debate and did a simple addition problem. I hope to use what I have learned from this program to develop my understanding of how data shapes policy decisions, voter behavior, and campaign strategies. I’m incredibly grateful and excited to work with the IMD program to meet new people and research more about this rising field.

Ananya Shah

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Ananya Shah is a rising senior at Edgemont Junior-Senior High School in New York. Her current research focuses on using mathematics, specifically using persistent homology to compare precinct and district level voting data to quantify gerrymandering in the United States At IMD, she is excited about collaborating with other individuals who are also interested in the fascinating connection between mathematics and democracy.

Ryan Singh

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Ryan Singh is a rising senior at Thomas Jefferson High School for Science and Technology in Alexandria, Virginia. He has always taken an interest in numbers and math, and aspires to understand their relationship with behavioral phenomena and influences on public policy. He is excited to work under IMD to “use experiences in research and mathematics to work towards solving nationwide, real-world problems, starting from the root sources of human hope: government, politics, and democracy.”

Tanya Verma

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Tanya is a rising senior at Riverdale Country School. She has always been interested in applied math and statistics, as well as history, politics, and current events, and believes that there is a need for more statistics-based policy in today’s government. She is ecstatic to join IMD and use math to create real-world changes.

Brandon Wu

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Brandon Wu is a rising senior at St. John’s School in Houston, Texas. He is interested in the intersection of applied mathematics and government, particularly in areas such as democratic representation, legislation, and animal welfare. He looks forward to collaborating on research that applies math to public policy issues at IMD this summer.

Yuegelica Yeong

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Yuegelica Y. is a rising senior from Austin, Texas. She is incredibly passionate about both mathematics and politics and is eager to explore their intersection this summer. At IMD, she is looking forward to applying mathematical techniques to solve real-world policy problems, utilizing real-data to research aspects of the government, and analyzing challenges that our democracy faces today.

Michelle Zuo

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Michelle Zuo is a rising senior at Thomas Jefferson High School for Science and Technology in Alexandria, Virginia. She has always been interested in math and in using math to solve real-world public policy issues. At IMD, she hopes to conduct research that uses applied math and complex models to help make impactful decisions in the field of democracy.

2024

Ryan Cooley

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Ryan Cooley a rising junior at Wilbraham and Monson Academy in Massachusetts, is interested in research at the intersection of mathematics and politics. At IMD, he is looking forward to “using the research process to learn more about the statistics, data, and math behind the governmental decisions that affect our daily lives.”

Deven Hagen

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Deven Hagen, a rising senior at Thomas Jefferson High School for Science and Technology in Alexandria, Virginia, is interested in the use of algorithmic decision making in political elections. At IMD, he is excited to pursue interdisciplinary research that combines his interests in applied math, government, and public policy.

Ella Kowal

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Ella Kowal is a rising senior at Phillips Academy Andover in Massachusetts. She has always loved math and participating in politics in whatever way she can, so she is excited to explore the intersections of both of these interests.

Rohan Licht

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Rohan Licht has been interested in math and politics for a long time and finds it amazing how much they overlap. “I think it would be very beneficial if everyone knew how math can be used to improve political systems, as it could open up new political discussions that aren’t focused on division or ‘winning,’ and more focused on understanding how to make politics better,” Rohan explains. He is excited to work with IMD to learn more about the connection between these two subjects!

Nina Lomigora

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Nina Lomigora is a junior from Greens Farms Academy in Connecticut. She is interested in math, particularly the real world applications of math that are often left out of her math classes at school. She is excited for the opportunity to see politics from a quantitative point of view and to use math to better understand and appreciate our democracy.

Isaac Merlin

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Isaac Merlin, a rising senior at Florida Atlantic University High School, enjoys thinking strategically about abstract systems. This means he has a deep interest in any mathematics related to the safeguarding of democracy. He’s excited this summer to be pursuing research with IMD.

Serena Pallan

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Serena Pallan is a high school sophomore in Baltimore, Maryland. She is looking forward to getting involved with IMD this summer, because she is interested in learning more about the applications of mathematics in politics and how IMD’s research will change the way we think about math and political science.

Alice Park

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Alice Park is a rising senior at Northwood High School in California and decided to pursue research at the IMD summer program because she is deeply passionate about mathematics as well as political advocacy and social issues. Alice shares, “I find that especially in an ever-changing world with so many new political debates and issues coming up everyday, using mathematics to investigate and find patterns in politics is such an intriguing combination of topics and can have so much more significance than we realize.” She hopes to be able to apply and further develop her findings from the IMD summer program to make change in her community, addressing political injustices and more!

Zubin Rajesh

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Zubin Rajesh is a rising junior at Campolindo High School in the Bay Area who has loved math ever since he was in first grade and has grown increasingly aware of politics as he progressed through school. He saw IMD as a chance to pursue his math joy that can have a real impact on something bigger than himself. Zubin loves to play competitive soccer and enjoys listening to music while doing everything.

Jing Russell

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Jing Russell is a rising first-year at Amherst College with an intended double major in Mathematics and Economics. “Since I can remember, I have always loved math and had a deep interest in learning,” she shares. “I am eager to contribute to IMD’s mission as well as delve deeper into quantitative understanding to hopefully make an impact on the current challenges we face in America!”

Ananya Shah

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Ananya Shah is a rising junior at Edgemont Junior-Senior High School in New York. Her current research focuses on using mathematics, specifically the fractal dimension technique to quantity gerrymandering in the United States, as well as analyzing majority-minority districts and the redistricting process as a whole. With IMD, she wishes to collaborate with other individuals who are also interested in the fascinating connection between mathematics and democracy.

Pratyush Singh

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Pratyush Singh is a high school junior at UWC Mahindra College, India. His interdisciplinary interests in math and social studies since childhood led him to discover Institute for Mathematics and Democracy, where he is excited to explore research at the center of these disciplines. He has a keen interest in understanding the mathematical aspects behind people’s behavior and political choices and hopes to contribute meaningfully to IMD’s mission of promoting education, research, and outreach in mathematics and politics.

Andrei Volic

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Andrei Volic, a rising senior at Natick High School, participated in last year’s IMD research project because he loves studying both math and government-related topics. He decided to return this year because he’s “excited to explore the intersection of data analysis and politics that can be applied to measure or predict some aspects of our government.”

Aaron Wasielewski

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Aaron Wasielewski is a rising senior at Natick High School. He decided to do another summer with IMD to further his understanding of the two disciplines of math and politics by conducting meaningful research. “Last summer taught me so much about how the two areas are integrated within each other, and I hope to build on those concepts, skills, and experiences this summer,” Aaron says.

Laura Zhang

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Laura Zhang is a rising freshman at the Massachusetts Institute of Technology, where she plans to double major in mathematics and computer science. She aspires to leverage math and computer science in policy-making to provide a quantitative and data-driven perspective on pressing issues.

Angeline Zhao

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Angeline Zhao is a rising senior at Phillips Academy Andover in Massachusetts. She has always loved mathematics, and has been involved with journalism and public policy organizations. As such, she is particularly interested in the way mathematics is used to analyze and resolve real world problems. Politics is an area where mathematics can have such a huge influence, and Angeline is eager to explore that intersection through research this summer.

2023

Caroline Corts

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Caroline Corts is a rising senior at Alamo Heights High School in Texas. She has had a “passion for both fields since a young age.” To complement her upcoming math classes at her local community college, she is dedicated to continuing her political advocacy. “I attend rallies with my friends and run the Young Democrats Instagram page for my school,” Caroline says.

Emily Pallan

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Emily Pallan will be attending Harvard University in the fall with an intended Government or Economics major. She is interested in the intersection between mathematics and politics. She has previously conducted research on how wealthy Democrats impact young voters’ economic stereotypes about liberals, and she is currently conducting research on how alternative apportionment methods in the House of Representatives affect presidential elections.

Serena Pallan

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Serena Pallan is a rising sophomore at Hereford High School in Parkton, Maryland. “I think that it’s very interesting how IMD can use math as something that can aid people in developing an understanding of politics, even though the two subjects may not have a clear connection,” Serena says. “I’m excited to dive into how I can contribute to IMD’s mission of the integration of math and politics!”

Andrei Volic

Andrei Volic

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Andrei Volic, a rising junior at Natick High School, decided to pursue research with IMD because he loves studying both math and government-related topics. “I thought that integrating those two disciplines would be interesting,” Andrei says. “I’m excited to create a model or system that can be applied to measure or predict some aspects of our government.”

Aaron Wasielewski

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Aaron Wasielewski is a rising junior at Natick High School in Massachusetts who sees math and politics as subjects that “have more significant impacts on my life than I realize.” By working with IMD, he seeks to “go in-depth about gathering more information so I can be able to grapple with how I am affected by them. Also, math can be found everywhere in daily life, and what’s better than to research a subject that I will have to use for the rest of my life?”

2022

Emily Pallan

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Emily Pallan will be attending Harvard University in the fall with an intended Government or Economics major. She is interested in the intersection between mathematics and politics. She has previously conducted research on how wealthy Democrats impact young voters’ economic stereotypes about liberals, and she is currently conducting research on how alternative apportionment methods in the House of Representatives affect presidential elections.

Raj Savla

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Raj Savla is a high school student graduating in 2023 from Westchester, New York. He is interested in political representation and enjoys the application of mathematics. He is currently doing a research project on methods of apportioning seats in the House of Representatives.

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