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---
layout: layout
permalink: /spec.html
---
<div class="home">
<h1 class="page-heading" id="what">Stacks Project Expository Collection</h1>
<img src="/assets/spec-cover.png" style="float: right; margin: 0 0 5px 5px" width="300">
<p><strong><a href="https://www.cambridge.org/core/books/stacks-project-expository-collection/433A8B918FB8FD11AA0E82C3E24E5B2D">Stacks Project Expository Collection</a></strong>, published by Cambridge University Press in the London Mathematical Society Lecture Note Series, number 480, is a collection of <strong>expository articles</strong> written in the context of the first two Stacks Project Workshops.
<p>Table of contents (with links to preprint versions of chapters whenever available)
<ol>
<li><strong><a href="https://www.math.columbia.edu/~rcheng/assets/mgbar.pdf">Projectivity of the moduli of curves</a></strong>, by Raymond Cheng, Carl Lian and Takumi Murayama
<li><strong>The stack of admissible covers is algebraic</strong>, by Elsa Corniani, Neeraj Deshmukh, Brett Nasserden, Emanuel Reinecke, Nawaz Sultani and Rachel Webb
<li><strong><a href="https://arxiv.org/abs/2206.06195">Projectivity of the moduli space of vector bundles on a curve</a></strong>, by Jarod Alper, Pieter Belmans, Daniel Bragg, Jason Liang and Tuomas Tajakka
<li><strong><a href="https://arxiv.org/abs/2112.03834">Boundedness of semistable sheaves</a></strong>, by Haoyang Guo, Sanal Shivaprasad, Dylan Spence and Yueqiao Wu
<li><strong><a href="https://www.math.columbia.edu/~rcheng/assets/theorem-of-the-base.pdf">Theorem of the Base</a></strong>, by Raymond Cheng, Lena Ji, Matt Larson and Noah Olander
<li><strong><a href="http://shizhang.li/weil_restriction.pdf">Weil restriction for schemes and beyond</a></strong>, by Lena Ji, Shizhang Li, Patrick McFaddin, Drew Moore and Matthew Stevenson
<li><strong><a href="https://shmckean.github.io/research/heights-fg.pdf">Heights over finitely generated fields</a></strong>, by Stephen McKean and Soumya Sankar
<li><strong><a href="https://arxiv.org/abs/2111.06848">An explicit self-duality</a></strong>, by Nikolas Kuhn, Devlin Mallory, Vaidehee Thatte and Kirsten Wickelgren
<li><strong>Tannakian reconstruction of coalgebroids</a></strong>, by Yifei Zhao
</ol>