Kaiying's Website

On my mind

• Industrialized physics and math
  Can we get to a point where new discoveries (of the caliber of relativity and quantum mechanics) are produced by reliable pipelines instead of depending on the fickle ingenuity of virtuosos?
• Post-ASI social structure
  As human talent becomes irrelevant to the economy, we hurry toward a rigid feudal order with no talent-based social mobility. What are the technical, political, and cultural changes needed to preserve human dignity and prevent extreme inequality? History is at stake.

Mathematics

• Large Rank Simple Bundles of All Homological Dimensions
  
• 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

• Universal Length Generalization with Turing Programs
  (ICML 2025) Developed an innovative CoT technique that emulates Turing machines, marking the first instance in literature to achieve significant length generalization for multiplication.
• 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.

Fun

• Transformer Metal Riffs.
  
• Deep Q-learning for the Multiplayer Snake Game.