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cs.LG2026
Structure-Adaptive Tree Field Integrators
Millend Roy, Soham Samal, Ivan Zelich +1
We present a new class of near-linear algorithms for efficiently integrating general tensor fields defined on trees with distance dependent kernels, the Structure-Adaptive Tree Fie…
math.AG2026
The Miracle of Flatness in Algebraic Geometry
Ivan Zelich
This thesis studies various aspects of flatness in algebraic geometry. We first study flatness in the context of semi-rings. We prove some discreteness results for a derived groupi…
math.AG2026
Affineness of the maximal étale locus
Ivan Zelich
In this paper we will prove a strong version of the celebrated purity of the ramification locus theorem in algebraic geometry. Our key input is a Tor-independence result for global…