Research

Current Research

[UC Davis, 2021 - *] My current research focus with Greg is studying anyonic software fault-tolerance and quantum algebra, especially but not only in relation to Turaev-Viro codes. I'm also interested in investigating the landscape of QC-universality of unitary modular functors arising from general quantum groups at different roots of unity.
[Summer 2023] I was hosted by Anurag Anshu at Harvard University and working on establishing a connection between explicit lower bounds on SoS instances and the NLTS theorem.
[Summer 2024] With Suvrit Sra, at TU Munich, I'm working on the mathematics of linear transformers. Previously, I worked with his group on Riemannian bilevel optimization. This is part of my side interest in machine learning.

Publications

• Riemannian Bilevel Optimization (arXiv preprint, 2024)
• Quantum Circuit Design Methodology for Multiple Linear Regression (IET Quantum Communication, 2020)
• Quantum Machine Learning: A Review and Current Status (Springer AISC, 2020)
• Euler Number and Percolation Threshold on a Square Lattice With Diagonal Connection Probability and Revisiting the Island-Mainland Transition (Frontiers in Physics, 2019)