Hard Arithmetic ayoucis.wordpress.com

What are covering spaces in algebraic geometry? (Pt II: Finite etale covering spaces)

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What are covering spaces in algebraic geometry? (Pt I: topological theory and general principles)

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A computation a day: Picard groups of (some) singular curves

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Lang’s theorem — Pt. IV: a mixed-characteristic variant

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Lang’s theorem — Pt. III a torsor reinterpretation and manifold applications

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Lang’s theorem — Pt II: an interlude on torsors

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Lang’s theorem — Pt. I: the classical result

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Shimura varieties and their integral canonical models (Pt. 2)

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Shimura varieties and their canonical integral models

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A taster of rigid geometry (Pt I: the Tate perspective)

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Objects with no rational models

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A new paper draft

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Punctured disks and punctured curves and cohomology, oh my! (Part III: the affine curve case)

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Punctured disks and punctured curves and cohomology, oh my! (Part II: cohomology with supports)

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Punctured disks and punctured curves and cohomology, oh my! (Part I: the proper curve case)

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Weird example: finite maps don’t preserve projectivity

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Classifying one dimensional groups (II)

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A smattering of representation theory

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