main.tex

-\documentclass[12pt]{article}
-\usepackage{amsmath}
-\usepackage{amssymb}
-\usepackage{amsthm}
-\usepackage{graphicx}
-\usepackage{hyperref}
-\usepackage{color}
+\documentclass[class=article, crop=false]{standalone}
+\usepackage[subpreambles=true]{standalone}
+\onlyifstandalone{
+\input{packages.tex}
+\input{newcommands.tex}
+\input{theoremstyles.tex}
 \usepackage{sagetex}
-\usepackage{subcaption}
-\usepackage{cancel}
-\usepackage{mathtools}
-\usepackage[]{breqn}
-\usepackage[
-backend=biber,
-style=alphabetic,
-sorting=ynt
-]{biblatex}
 \addbibresource{references.bib}
-
-\newcommand{\QQ}{\mathbb{Q}}
-\newcommand{\ZZ}{\mathbb{Z}}
-\newcommand{\RR}{\mathbb{R}}
-\newcommand{\NN}{\mathbb{N}}
-\newcommand{\PP}{\mathbb{P}}
-\newcommand{\chern}{\operatorname{ch}}
-\newcommand{\coh}{\operatorname{coh}}
-\newcommand{\homol}{\mathcal{H}}
-\newcommand{\lcm}{\operatorname{lcm}}
-\newcommand{\firsttilt}[1]{\mathcal{B}^{#1}}
-\newcommand{\bddderived}{\mathcal{D}^{b}}
-\newcommand{\centralcharge}{\mathcal{Z}}
-\newcommand{\minorheading}[1]{{\noindent\normalfont\normalsize\bfseries #1}}
-
-\newtheorem{theorem}{Theorem}[section]
-\newtheorem{corollary}{Corollary}[section]
-\newtheorem{lemma}{Lemma}[section]
-\newtheorem{fact}{Fact}[section]
-\newtheorem{example}{Example}[section]
-\newtheorem{lemmadfn}{Lemma/Definition}[section]
-
-\theoremstyle{definition}
-\newtheorem{definition}{Definition}[section]
-\newtheorem{problem}{Problem Statement}
-
-\newtheorem*{note}{Note:}
+}
 
 \begin{document}
 
 
+\onlyifstandalone{
 \title{Tighter Bounds for Ranks of Tilt Semistabilizers on Picard Rank 1 Surfaces
 \\[1em] \large
 Practical Methods for Narrowing Down Possible Walls}
@@ -63,6 +28,7 @@ Practical Methods for Narrowing Down Possible Walls}
 
 \newpage
 \tableofcontents
+}
 
 \newpage
 \section{Introduction}
@@ -2059,8 +2025,10 @@ to the problem for this choice of $v$.
 
 
 
+\onlyifstandalone{
 \newpage
 \printbibliography
+}
 
 \end{document}
 % comment

newcommands.tex

+\newcommand{\QQ}{\mathbb{Q}}
+\newcommand{\ZZ}{\mathbb{Z}}
+\newcommand{\RR}{\mathbb{R}}
+\newcommand{\NN}{\mathbb{N}}
+\newcommand{\PP}{\mathbb{P}}
+\newcommand{\chern}{\operatorname{ch}}
+\newcommand{\coh}{\operatorname{coh}}
+\newcommand{\homol}{\mathcal{H}}
+\newcommand{\lcm}{\operatorname{lcm}}
+\newcommand{\firsttilt}[1]{\mathcal{B}^{#1}}
+\newcommand{\bddderived}{\mathcal{D}^{b}}
+\newcommand{\centralcharge}{\mathcal{Z}}
+\newcommand{\minorheading}[1]{{\noindent\normalfont\normalsize\bfseries #1}}

packages.tex

+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{amsthm}
+\usepackage{graphicx}
+\usepackage{hyperref}
+\usepackage{color}
+\usepackage{subcaption}
+\usepackage{cancel}
+\usepackage{mathtools}
+\usepackage[]{breqn}
+\usepackage[
+backend=biber,
+style=alphabetic,
+sorting=ynt
+]{biblatex}

theoremstyles.tex

+\newtheorem{theorem}{Theorem}[section]
+\newtheorem{corollary}{Corollary}[section]
+\newtheorem{lemma}{Lemma}[section]
+\newtheorem{fact}{Fact}[section]
+\newtheorem{example}{Example}[section]
+\newtheorem{lemmadfn}{Lemma/Definition}[section]
+
+\theoremstyle{definition}
+\newtheorem{definition}{Definition}[section]
+\newtheorem{problem}{Problem Statement}
+
+\newtheorem*{note}{Note:}