Noah Olander NSF Postdoctoral Scholar UC Berkeley Department of Mathematics Email: nolander[at]berkeley[dot]edu

About

I'm a mathematician studying algebraic geometry, especially derived categories of algebraic varieties and positive characteristic geometry. I am currently an NSF Postdoct at UC Berkeley supervised by Martin Olsson. From September 2022 until September 2024 I was a postdoc of Lenny Taelman at the University of Amsterdam, although in Fall 2023 I was working at the Hausdorff Research Institute for Mathematics in Bonn as part of the Junior Trimester Program Algebraic geometry: derived categories, Hodge theory, and Chow groups. Before that I was a PhD student of Johan de Jong at Columbia University.

Curriculum Vitae

Papers and preprints

• On weakly étale morphisms (with Johan de Jong).
• Ample line bundles and generation time, Journal für die reine und angewandte Mathematik (Crelles Journal).
• The Diagonal Dimension of Curves, International Mathematics Research Notices.
• Orlov's Theorem in the Smooth Proper Case.

Other writing

• My PhD thesis Resolutions, bounds, and dimensions for derived categories of varieties.
• The chapter "Theorem of the Base" (with Raymond Cheng, Lena Ji, and Matt Larson) of the book Stacks Project Expository Collection, London Mathematical Society Lecture Note Series.
• A section of the Stacks Project I wrote proving that a perfect generator of a quasi-compact and quasi-separated scheme can detect when complexes are bounded. Here is a neat application which gives a characterization of relatively perfect complexes on a proper, flat, finitely presented morphism.
• Some handouts I made when I taught advanced middle and high school students during my time in the LA Math Circle (now the Olga Radko Endowed Math Circle).

Talk link

• You can watch a talk I gave in the Stanford Algebraic Geometry Seminar on December 10, 2021 here.