- Perfect State Transfer in Laplacian Quantum Walk: https://arxiv.org/abs/1409.5840
- A Criterion to Verify the Regularity of a Candidate Regular Model of a Hyperelliptic Curve in Mixed Characteristic (0, 2): in progress
- Topological Obstructions to the Existence of a Resolution of the Singularities of a Variety Over a Field of Any Characteristic: in progress
- An(other) Algorithm to Resolve the Singularities of a Curve Over a Field of Positive Characteristic: in progress; joint with Raymond van Bommel & Michael Montoro
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