About
I received my Ph.D in mathematics studying algebraic geometry and string theory. I now work in the public sector developing secure, constrained environments for agentic workflows in both the cloud and at the edge.
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Writing
- The Mirror and Its Limits: From the Fourier Transform to Quantum GroupsJune 23, 2026The Fourier transform is a special case of a sweeping duality between a group and its space of characters. Follow that one idea from Pontryagin duality through the non-abelian breakdown to quantum groups — and to the open frontier where the duality lives today.
- How Geometric Torsion at Sub-Planck Lengths Prevents the Existence of Special Classes of Residual D-BranesMay 1, 2026A walk from a polynomial drawing a circle to the proof that the Kuznetsov component of a generic Enriques surface admits no Serre-invariant Bridgeland stability condition. Serre invariance negates numerical classes, while an explicit projected point is fixed — an impossible sign contradiction.
Chris Dare
chrisdare.net · Washington, DC