Research & Mentorship

iMath Lab

I am a co-founder of the iMath Lab, a research group dedicated to providing free, open-access resources that train students and early-career researchers in pure and applied mathematics. We also host free workshops and seminars designed to equip talented young students with the skills to conduct formal mathematical research. Each summer, we host SWIM, a free workshop where researchers and students (including participants from MIT PRIMES, CMI, and CrowdMath) present their work and explore open questions. The workshop programming spans a diverse range of topics, from factorization and number theory to deep learning and GenAI.

CMI

CMI, the CrowdMath Internship, is a research collaborative initiative launched by PRIMES in 2025. The program combines traditional mathematical research with AI math assistants and proof-assistant tools such as Lean, giving interns the opportunity to work in small groups on open problems in areas including abstract algebra and number theory. I have been a mentor for CMI since 2025 and lead the AI/Lean part of the program. The CMI 2025 Spring cohort produced the research paper “On the set of atoms and strong atoms in additive monoids of cyclic semidomains”, published in Communications in Algebra.

MIT PRIMES

PRIMES is a free, year-long research program offered by MIT. Through the program, students work with MIT researchers and affiliates on unsolved problems in mathematics, with applied mathematics projects also reaching into areas such as theoretical computer science and computational biology. I have been a mentor for MIT PRIMES since 2024, focusing on applying machine learning to predictive healthcare analytics.