# Topological modular and automorphic forms

## TL;DR

This paper surveys the theories of topological modular forms and automorphic forms, highlighting their roles in homotopy theory and their mathematical significance.

## Contribution

It provides a concise overview of TMF and TAF theories, serving as a foundational chapter for the upcoming Handbook of Homotopy Theory.

## Key findings

- Summarizes key concepts of TMF and TAF
- Connects topological forms to homotopy theory
- Prepares groundwork for future research

## Abstract

This article is a brief survey of the theory of topological modular forms (TMF) and the theory of topological automorphic forms (TAF). It will be a chapter in forthcoming "Handbook of Homotopy Theory" edited by Haynes Miller.