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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contents of Volume 62, Number 1
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Introduction to Isadore Singer Memoriam
Daniel S. Freed;
Bull. Amer. Math. Soc. 62 (2025), 1-2
DOI: https://doi.org/10.1090/bull/1866
Published electronically: October 31, 2024
The Dirac operator
Nigel Hitchin;
Bull. Amer. Math. Soc. 62 (2025), 3-16
DOI: https://doi.org/10.1090/bull/1847
Published electronically: October 30, 2024
The Ray–Singer torsion
John Lott;
Bull. Amer. Math. Soc. 62 (2025), 17-34
DOI: https://doi.org/10.1090/bull/1848
Published electronically: October 30, 2024
Ray–Singer torsion, topological strings, and black holes
Cumrun Vafa;
Bull. Amer. Math. Soc. 62 (2025), 35-45
DOI: https://doi.org/10.1090/bull/1849
Published electronically: October 30, 2024
Index theory on Pin manifolds
Daniel S. Freed;
Bull. Amer. Math. Soc. 62 (2025), 47-65
DOI: https://doi.org/10.1090/bull/1856
Published electronically: October 30, 2024
The interpolation problem: When can you pass a curve of a given type through $n$ random points in space?
Eric Larson, Ravi Vakil and Isabel Vogt;
Bull. Amer. Math. Soc. 62 (2025), 67-91
DOI: https://doi.org/10.1090/bull/1850
Published electronically: October 30, 2024
Hilbert meets Ramanujan: Singularity theory and integer partitions
Hussein Mourtada;
Bull. Amer. Math. Soc. 62 (2025), 93-111
DOI: https://doi.org/10.1090/bull/1854
Published electronically: October 30, 2024
Searching for (sharp) thresholds in random structures: Where are we now?
Will Perkins;
Bull. Amer. Math. Soc. 62 (2025), 113-143
DOI: https://doi.org/10.1090/bull/1857
Published electronically: October 30, 2024
Erratum for “Billiards and Teichmüller curves”
Bull. Amer. Math. Soc. 62 (2025), 145-145
DOI: https://doi.org/10.1090/bull/1864
Published electronically: October 30, 2024

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Dimension groups and dynamical systems, by F. Durand and D. Perrin.
Reviewer: Mike Boyle
Review information PDF
Bull. Amer. Math. Soc. 62 (2025), 147-156
Algebraic groups. The theory of group schemes of finite type over a field, by J. S. Milne.
Reviewer: Igor A. Rapinchuk
Review information PDF
Bull. Amer. Math. Soc. 62 (2025), 157-166
Self-similar and Self-affine Sets and Measures, by Balázs Bárány, Karoly Simon and Boris Solomyak.
Reviewer: Kenneth J. Falconer
Review information PDF
62 (2025), 167-174