For issues spanning 1954 to 2015, the complete Tables of Contents (TOCs) are fully accessible only by downloading the entire issue in PDF format. From 2016 onwards, the availability and detail of TOCs have significantly improved.

# Table of Contents

#### Featured Articles and Invitations from the AMS

- Call for Applications & Nominations: AMS Associate Secretaries of the Central & Western Sections
- Call for Applications & Nominations: AMS Associate Treasurer
- Call for Submissions: Communications of the AMS
- Designing Stable Elections
- Enumerative Combinatorics of Lattice Polymers
- Grants for Virtual MCA 2021
- On the Mathematics of Swarming: Emergent Behavior in Alignment Dynamics
- The Coupling/Minorization/Drift Approach to Markov Chain Convergence Rates
- The Structure of Homeomorphism and Diffeomorphism Groups

#### From the Secretary

- 2021 Albert Leon Whiteman Memorial Prize
- 2021 Bertrand Russell Prize
- 2021 Class of Fellows of the AMS
- 2021 Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student
- 2021 Frank Nelson Cole Prize in Algebra
- 2021 George David Birkhoff Prize
- 2021 Joint Policy Board for Mathematics Communications Award
- 2021 Leroy P. Steele Prizes
- 2021 Levi L. Conant Prize
- 2021 Mary P. Dolciani Prize
- 2021 Ruth Lyttle Satter Prize
- 2021 Ulf Grenander Prize
- Calls for Nominations & Applications: Foias Prize, Veblen Prize, Conant Prize, Chevalley Prize, Moore Prize, Robbins Prize, Distinguished Public Service, Impact on the Teaching & Learning of Math, & more

#### Topical Columns

#### Early Career, Graduates, Education

- 1. A Mathematician’s Field Guide to Jobs in the Finance Industry: Practical Advice for Those Far from Home by Thomas Fleming
- 2. A Mathematical Experience in a BIG Career by Kelly B. Yancey
- 3. Careers in Classified Research Mathematics by David Saltman
- 4. How to Start Your Story in Data Science by Joe Tenini

#### Other articles of note

- A Word from... Kirsten Bohl and David Eisenbud
- AMS Bookshelf
- An Interview with Jill Pipher
- Bookshelf
- Elias M. Stein (1931–2018)
- Heat Flow and Sets of Finite Perimeter
- Hilbert’s Tenth Problem
- In Memoriam: Peter L. Montgomery (1947–2020)
- Modeling and Forecasting COVID-19
- On Sets and Patterns
- The Dawning of a New Era in Applied Mathematics
- What is... the VC-Dimension?

#### The Latest

#### Promotions and Announcements

- AMS Graduate Student Chapters
- Author Resource Center
- Call for Applications & Nominations: AMS Associate Secretaries of the Central & Western Sections
- Call for Applications & Nominations: AMS Associate Treasurer
- Call for Submissions: Communications of the AMS
- Find Graduate Programs in the Mathematical Sciences
- Grants for Virtual MCA 2021
- ICERM Summer Workshops 2021
- Introducing AMS Member Jennifer Schultens
- Learn about AMS eBooks
- Linear Algebra for Everyone
- Mathematical and Statistical Sciences Annual Survey
- Mathematical Moments & Mathematics of Planet Earth
- Mathematics and Statistics Awareness Month
- Mathematics Calendar
- MathSciNet
- MathSciNet Author Profiles
- National Math Festival
- New from the European Mathematical Society
- PhD + Epsilon Blog
- Thank You for Advancing Mathematics
- Top Ways to Use Free AMS Math Content
- Visit the AMS Bookstore