Research
Ongoing projects in condensed-matter theory, magnonics, and quantum information.
Magnonics & spin-wave dynamics
- Question
- How do nonlinear interactions and cavity coupling reshape spin-wave transport and mode conversion in driven magnonic structures?
- Why
- Controllable nonlinear magnon dynamics sits on the critical path for low-power information processing and coherent microwave-to-magnon transduction. Closing that gap enables hybrid quantum architectures that are otherwise limited by thermal noise.
- Approach
- MATLAB simulations of spin-wave propagation; cavity-magnon hybridization models; parametric down-conversion analysis across dispersion, stability, and mode profiles.
- Output
- Manuscript on nonlinear magnon-polariton dynamics (arXiv:2602.00287); reusable simulation workflow for comparing theory with experimental parameter windows.
- Context
- SUPREME REU at MIT, Summer 2025 (Luqiao Liu).
Topological condensed matter
- Question
- Which transport signatures robustly distinguish Stiefel-Whitney phases in nodal-line semimetals from the symmetry-adjacent trivial phases?
- Why
- Linking topological invariants to measurable conductivity is what makes topology an experimental claim rather than a classification exercise; without it the framework is elegant but inert.
- Approach
- Continuum and lattice models with Stiefel-Whitney characterization; Kubo-framework conductivity; numerical cross-validation in Python and Julia.
- Output
- Symmetry-resolved transport pipeline and draft research notes mapping invariants to testable trends.
- Context
- Research with Junyeong Ahn at UT Austin.
Quantum computing & complexity
- Question
- How can bosonic-interference models be formalized to clarify the boundary between classically tractable simulation and genuine quantum advantage?
- Why
- Complexity-theoretic benchmarks are the only principled defense against improved classical algorithms reproducing supposedly quantum effects.
- Approach
- Analysis of boson-sampling-style constructions through reductions, hardness assumptions, and structured arguments relating physics intuition to complexity classes.
- Output
- Technical project writeup synthesizing complexity background and implications for experimental claims.
- Context
- Quantum Complexity project, 2025 (Scott Aaronson course).
What's next
I will be starting a Ph.D. in condensed matter theory at UIUC in fall 2026, continuing work on magnonics, topological phases, and quantum information. Always open to collaborations and conversations about shared research interests — see the contact section.