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In this article, we will examine some of the mathematical developments concerning Hamilton-Jacobi equations since the mid-20th century. This includes the advent of viscosity solutions, the dynamic programming principle from control theory, and research directions involving interacting systems of particles and noncooperative differential games.
It took several years for the scientific community to digest Perelman’s arguments and verify his proof. Perhaps the most intriguing goal was to find further applications of Ricci flow to problems in topology. This goal forms the central theme of this article. We summarize the important results pertaining to Perelman’s work and discuss more recent research in the same spirit.
A new eigenvalue problem in scattering theory has attracted attention both inside and outside the scattering community. This new problem is called the transmission eigenvalue problem and in a certain sense exhibits a duality relation to the theory of scattering resonances. The purpose of this article is to introduce this class of nonselfadjoint eigenvalue problems to the wider mathematical community.
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
A community project since 2019, these thematic-compilations of articles inform graduate students, job seekers, early career academics, and mentors.
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A new section for 2019 whose articles discuss and highlight reports, surveys, trends, and the pivotal role education plays in STEM.
AMS President Jill Pipher to Congress: "No Longer Secure: Cryptography in the Quantum Era"
Class Action Lawsuits: Opportunities to Apply Econometrics and Statistics
“How would you, like, start on the concept of algebra?”
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