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An Invitation to Stochastic Mathematical Biology
Mathematical biologists are increasingly required to confront the essential randomness and uncertainty of the natural world, a challenge that brings with it the opportunities to ask and answer new questions. In this article we survey the growing field of stochastic mathematical biology, revealing the surprising explanatory power of randomness in biology, and highlighting developments and challenges across a spectrum of mathematical areas.
Counting Geodesics, Teichmüller Space, and Random Hyperbolic Surfaces
The study of geodesics provides a theme for understanding hyperbolic metrics on finite-area surfaces, as well as the geometry of the moduli space of Riemann surfaces. We begin with the fundamentals of the Teichmüller theory of hyperbolic surfaces. Then we describe how Thurston’s random geodesic metric generalizes to the pressure metric in higher Teichmüller theory and how Mirzakhani’s recursive integration scheme is a tool for understanding random finite-area hyperbolic surfaces.
Graph Pebbling: A Blend of Graph Theory, Number Theory, and Optimization
There are many graph-theoretic subjects that could go under the umbrella of “Moving Things Around on Graphs.” While some of these topics model real-world problems, others model pure mathematical problems. The graph pebbling model we discuss here is used to translate a number-theoretic problem into graph theory. We present a range of paradigms within this field and, for each one, share some of the major results, conjectures, and open problems.
Invitations from the AMS
One of the greatest strengths of the AMS is its vibrant community. In an effort to help our readers easily find possibilities for personal, academic, and career enhancement and development, we make this comprehensive list (updated regularly) available. From Fellowships and Calls for Nomination to Membership Benefits and open positions, this is your gateway to involvement and engagement opportunities with the AMS. View the List
- 2022 AMS Short Course
- AMS Congressional Fellowship 2022–2023
- AMS Employment Center
- Applications Welcome for the 2022 Mathematics Research Communities
- Be an Organizer: 2023 Mathematics Research Communities
- BIG Career Center
- Current Events Bulletin
- Member Activities at JMM 2022
- Position Available: Director of Equity, Diversity, and Inclusion
Early Career
A community project since 2019, these thematic-compilations of articles inform graduate students, job seekers, early career academics, and mentors.
- 1. Summer Research in Mathematics at MSRI by Kuei-Nuan Lin and Augustine O’Keefe
- 2. IMA Math-to-Industry Boot Camp by Fadil Santosa and Daniel Spirn
- 3. Pset Partners by Andrew V. Sutherland
- 4. How to Run a Math Group by Tom Gannon
- 5. Some Advice on Filing a Harassment Complaint by Jesse Leo Kass
- 6. Mathematics and Dance: Notes from an Emerging Interaction by Reggie Wilson and Jesse Wolfson
From the Secretary
This section features positions on all Society policy, reports on governance and committee activities, and maintains institutional memory.
- 2022 Election: Call for Suggestions
- 2022 Election: Nominations by Petition
- Backlog of Mathematics Research Journals
- Biennial Overview of AMS Honors
- Calls for Nominations & Applications: The AMS Claytor-Gilmer Fellowship, The Joan and Joseph Birman Fellowship for Women Scholars, The AMS Centennial Research Fellowship Program
- Statistics on Women Mathematicians
Education
A new section for 2019 whose articles discuss and highlight reports, surveys, trends, and the pivotal role education plays in STEM.
- All Girls All Math
- Don’t Miss the Boat, Mini-Conference Presenters Urge
- Knowing and Teaching Elementary Mathematics—How Are We Doing?
- Postbaccalaureate Bridge Programs Diversify PhD Pathways
- Talking about Leaving Revisited: Persistence, Relocation, and Loss in Undergraduate STEM Education
- WIMS, a Community of Teachers, Developers and Users
More Articles of Interest
Topical Columns
Congressional Briefings April 2020
AMS President Jill Pipher to Congress: "No Longer Secure: Cryptography in the Quantum Era"
Keystones November 2021
Mathematics in the Theory and Practice of Auctions
Math Outside The Bubble October 2021
“How would you, like, start on the concept of algebra?”
Math Reviews® News
MathSciNet for Developing Countries Program
Short Stories
The Gauss–Lucas Theorem
Washington Update August 2021
Eric Lander
The Latest ...
The Notices Classified Advertising section is devoted to listings of current employment opportunities
This news section highlights AMS announcements and offers readers a snapshot of current AMS opportunities
We invite readers to submit letters to the editor to Notices at notices-letters@ams.org
A link to the AMS Math Calendar, an interactive page where readers can submit or search international math events and meetings
Opportunities to apply for fellowships and grants, to nominate colleagues for prizes and awards, and to submit proposals for meetings and workshops
Profiles of recent newsmakers in the math community
A listing of sectional, national, and international meetings held and/or hosted by the AMS
Notifications and descriptions of new AMS publications
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- The Corrigenda and Errata collection carries author and publisher corrections to published work.
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- What Is
- The What is... collection carries short, nontechnical articles aimed at graduate students.
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