Kaiying's Website
Math@Harvard
CV
khou@college.harvard.edu
Mathematics
Large Rank Simple Bundles of All Homological Dimensions
Currently under review for Proceedings of the AMS.
BGG Correspondence and the Construction of Vector Bundles on Projective Spaces
My senior thesis supervised by Professor Mihnea Popa.
p-Anisotropy on the Moment Curve for Homology Manifolds and Cycles
Research supervised by Professor Karim Adiprasito during the Einstein Institute REU in the Hebrew University of Jerusalem.
Physics
Two-Loop Beta Function for Bosonic Sigma Model in Ricci-Flat Target Space
Expository write-up for Physics 253b.
Learning quantum symmetries with interactive quantum-classical variational algorithms
Research supervised by Professor Susanne F. Yelin.
CS
Transformer to generate metal guitar tracks with conherent riffs.
The Computational Complexity of Finding Hamiltonian Cycles in Grid Graphs of Semiregular Tessellations
Research with Dr. Jayson Lynch, published in Proceedings of the 30th Canadian Conference on Computational Geometry.
Deep Q-learning for the Multiplayer Snake Game.