Create Analysis_on_Manifolds_Notes.tex

F4D1 - Analysis and Geometry on Manifolds/Analysis_on_Manifolds_Notes.tex

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+\documentclass{amsart}
+\usepackage[margin=1.1in]{geometry} 
+\usepackage{amsmath}
+\usepackage{tcolorbox}
+\usepackage{amssymb}
+\usepackage{amsthm}
+\usepackage{lastpage}
+\usepackage{fancyhdr}
+\usepackage{accents}
+\usepackage{hyperref}
+\usepackage{xcolor}
+\usepackage{color}
+\input{shortcuts.tex}
+\setlength{\headheight}{40pt}
+
+
+\newenvironment{solution}
+  {\renewcommand\qedsymbol{$\blacksquare$}
+  \begin{proof}[Solution]}
+  {\end{proof}}
+\renewcommand\qedsymbol{$\blacksquare$}
+
+\usepackage{amsmath, amssymb, tikz, amsthm, csquotes, multicol, footnote, tablefootnote, biblatex, wrapfig, float, quiver, mathrsfs, cleveref, enumitem, upgreek,stmaryrd}
+\addbibresource{refs.bib}
+\theoremstyle{definition}
+\newtheorem{theorem}{Theorem}[section]
+\newtheorem{lemma}[theorem]{Lemma}
+\newtheorem{corollary}[theorem]{Corollary}
+\newtheorem{exercise}[theorem]{Exercise}
+\newtheorem{question}[theorem]{Question}
+\newtheorem{example}[theorem]{Example}
+\newtheorem{proposition}[theorem]{Proposition}
+\newtheorem{conjecture}[theorem]{Conjecture}
+\newtheorem*{remark}{Remark}
+\newtheorem{definition}[theorem]{Definition}
+\numberwithin{equation}{section}
+\begin{document}
+\large
+\title[Analysis and Geometry on Manifolds]{F4D1 -- Analysis and Geometry on Manifolds}
+\author{Wern Juin Gabriel Ong}
+\address{Universit\"{a}t Bonn, Bonn, D-53111}
+\email{[email protected]}
+\urladdr{https://wgabrielong.github.io/}
+\maketitle
+\section*{Preliminaries}
+These notes roughly correspond to the course \textbf{F4D1 -- Analysis and Geometry on Manifolds} taught by Prof. Laurent C\^{o}t\'{e} at the Universit\"{a}t Bonn in the Winter 2024/25 semester. These notes are \LaTeX-ed after the fact with significant alteration and are subject to misinterpretation and mistranscription. Use with caution. Any errors are undoubtedly my own and any virtues that could be ascribed to these notes ought be attributed to the instructor and not the typist.  
+\tableofcontents
+\include{Lecture 1}
+\newpage
+\printbibliography
+\end{document}