combinatorics / security research / systems
second year at BITS Pilani. i work in combinatorics and partition theory, do security research, and build full stack software.
my mathematics is on arXiv: the first proofs of parts of Conjecture 19 of Ballantine, Beck, Merca and Sagan, a new sequence in the OEIS (A395126), and a study of the Collatz map over the Gaussian integers. i also found a class of data leakage bugs in how Next.js serializes server data to the browser, written up for CAIS 2026, and built an operations platform used daily by an 80 member racing team.
experience
mathematics association, bits pilani
pilani, rajasthan
batch lead for the year 2 cohort.
part of the research vertical.
the integral cup
remote
problem setter for the discrete mathematics track. the competition is sponsored by jane street.
inspired karters electric
pilani, rajasthan
built the team operations platform.
achievements
- imc prosperity, global trading challengequant · 2026
- quant trading challenge, iit delhiquant · 2025
- iisc hall of fame, responsible vulnerability disclosuresecurity · 2026
- oeis integer sequence a395126math · 2026
- ioqm 2025, merit certificatemath · 2025
- upstart campus, iit kanpurfinalist · 2026
- jee advancedair 8584 · 2025
- chairman’s award for excellence in academicsacademic · 2025
projects
- inspired karters ops platforman internal operations platform for an 80 member collegiate racing team.
- next.js hydration scannera static scanner for the data leakage class described in the cais 2026 paper.
- afterlife portala two step death registration and verification portal for government administration.
- bharatapplychecklist style guides for indian government service paperwork.
- qr crafta dynamic qr code saas with an analytics dashboard.
research
- Proof of Conjecture 19 of Ballantine, Beck, Merca, and Sagan on Elementary Symmetric Partitions
arXiv:2606.09321 · june 2026
- A note on partitions in the image of pre₂
arXiv:2606.02683 · june 2026
- Structural Conjectures for 4×n Chomp: Unique Extension, Asymptotic Ratios, and Period-112 Geometry
arXiv:2604.25952 · april 2026
- Collatz-Type Dynamics on Gaussian Integers
DOI 10.5281/zenodo.19078382 · march 2026
- Hydration Leakage and Over-fetching in Next.js: Security Implications of Server-to-Client Data Serialization
CAIS 2026 · march 2026