Background

I spent the early months of 2025 in India, working on a solar-powered pump project in my ancestral village. Before that I was at the AWS Center for Quantum Computing working on control electronics and building experiment-specification software for QEC demonstrations ; before that I was at 1QBit working on decoders for quantum error correction, and classical optimizers applied to variational quantum algorithms.

I did my undergraduate studies in math at MIT, graduate work at Harvard under Mike Hopkins, and a postdoctoral fellowship at the University of British Columbia under Alejandro Adem and Ben Williams.

Research papers and preprints

Most of the research I've done revolves around either power operations in homotopy theory, or realizations of quantum error correction on physical devices.

Snakes and Ladders: Adapting the surface code to defects with C. Leroux et al, arXiv (2024)

Hardware-efficient quantum error correction via concatenated bosonic qubits with H. Putterman et al, Nature, vol. 638, 927-934, (2025)

Spatially parallel decoding for multi-qubit lattice surgery with S. Lin, E. Peterson, and P. Sivarajah, Quantum Science and Technology, vol. 10 (3), (2025)

A Benchmarking Study of Quantum Algorithms for Combinatorial Optimization with Artur Scherer et al, npj Quantum Information, vol. 10 (64), (2024)

On the C_p-equivariant dual Steenrod algebra with Dylan Wilson, Proceedings of the American Mathematical Society 150 (8), 3635-3647 (2021)

Symmetric Powers and Eilenberg--Maclane Spectra, arXiv (revised version of my PhD thesis), (2019)

Equivariant Steinberg Summands, Homology, Homotopy and Applications, vol. 22 (2), (2020)

Equipopularity Classes of 132-Avoiding Permutations with Lynn Chua, Electronic Journal of Combinatorics, vol. 21 (1), (2014)

Achievable Sets in Z^n, Forum Mathematicum 27, (2011)

Software

Snakes and Ladders:	Python-based simulation package for adapting surface codes to cope with chip fabrication defects. This was part of a project done at AWS — see the paper here.
Rubik's cube solver:	Rubik's cube solver. This was my first software project and written with a self-learned Python style -- readers beware.

Math notes

Power Operations: Handwritten notes from a mini-series of talks I organized at UBC in early 2019. This material is largely derived from Atiyah's writing on K-theory and Adams' writing on vector fields on spheres (see papers of the same name).

The Hasse Principle for Quadratic Forms (minor thesis, 2014): One of the steps in Harvard's math graduate program is to write about an area of research outside one's expertise, on a timeline of a few weeks. While my writing itself leaves much to be desired, I found this to be a great exercise!

University courses and sections taught

Spring 2019: Math 220, Mathematical Proof Section 204 (UBC)

Fall 2018: Math 102, Differential Calculus for the Life Sciences (UBC)

Spring 2018: Math 220, Mathematical Proof Section 202 (UBC)

Fall 2017: Math 102, Differential Calculus for the Life Sciences (UBC)

Spring 2017: Math 21b, Linear Algebra and Differential Equations (Harvard)

Fall 2015: Math 1b, Integration, Series and Differential Equations (Harvard)

Spring 2014: Math 1b, Integration, Series and Differential Equations (Harvard)

Links

Art of Problem Solving: math problem solving forum with access to an enormous number of past contest problems from around the world, along with solutions.