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This article aims to demonstrate how phase plots can serve as tools for exploring algebraic properties of complex functions. To illustrate these ideas, we have chosen the class of Blaschke products. In particular, we study their monodromy groups and investigate whether a given function is a (nontrivial) composition.
This article seeks to explain that, for many objects that move discretely, the resulting “map of possibilities” is a CAT(0) cubical complex: a space of nonpositive curvature made of unit cubes. When this is the case, we can use ideas from geometric group theory and combinatorics to move an object optimally from one given position to another.
This article first presents a brief overview of pattern avoidance and a survey of enumeration results. Then, we turn our attention to a newer optimization problem of pattern packing. We survey pattern packing results in the general case before we consider packing in a specific type of permutation that leads to a surprising connection with physical chemistry.
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.
This section features positions on all Society policy, reports on governance and committee activities, and maintains institutional memory.
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"
Probabilistic Inference for Trust
"Creative Mathematician" Transforms Student Errors into "Sartorial Celebration"
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A link to the AMS Math Calendar, an interactive page where readers can submit or search international math events and meetings
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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