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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Mathematical Perspectives
Selections Reprinted from Mathematical Reviews

Review information
Bull. Amer. Math. Soc. 60 (2023), 409-434PDF
Published electronically: April 25, 2023

A course in mathematical logic by Yu. I. Manin
1977, xiii+286, ISBN 0-387-90243-0
MR Number: 0457126 (56 #15345)
Graduate Texts in Mathematics, Vol. 53, Springer-Verlag, New York-Berlin,
Reviewed by: John P. Burgess

A supersymmetric extension of the Kadomtsev–Petviashvili hierarchy by Yu. I. Manin and A. O. Radul
Communications in Mathematical Physics 98, (1985), no. 1, 65–77
MR Number: 0785261 (87b:58038)
Reviewed by: B. A. Kupershmidt

Kalibrovochnye polya i kompleksnaya geometriya by Yu. I Manin
1984, 336 pp., 2.70 r.
MR Number: 0787979 (86m:32001)
``Nauka'', Moscow,
Reviewed by: Raymond O. Wells Jr.

New dimensions in geometry by Yu. I. Manin
1985, 59–101 pp.
MR Number: 0797416 (87j:14030)
Lecture Notes in Math., 1111,
Reviewed by: Daniel M. Burns Jr.

Rational points of bounded height on Fano varieties by Jens Franke, Yuri I. Manin and Yuri Tschinkel
no. 2, 1989, 421–435 pp.
MR Number: 0974910 (89m:11060)
Invent. Math.,
Reviewed by: Joseph H. Silverman

Sur le nombre des points rationnels de hauteur borné des variétés algébriques by V. V. Batyrev and Yu. I. Manin
Math. Ann. 286, (1990), no. 1–3, 27–43
MR Number: 1032922 (91g:11069)
Reviewed by: Marc Hindry

Topics in noncommutative geometry by Yuri I Manin
1991, viii+164, ISBN 0-691-08588-9, $35.00
MR Number: 1095783 (92k:58024)
M. B. Porter Lecture, Princeton University Press, Princeton, NJ,
Reviewed by: Mitchell Rothstein

Gromov-Witten classes, quantum cohomology, and enumerative geometry by M. Kontsevich and Yu. Manin
Comm. Math. Phys. 164, (1994), no. 3, 525–562
MR Number: 1291244 (95i:14049)
Reviewed by: Dietmar A. Salamon

Frobenius manifolds, quantum cohomology, and moduli spaces by Yuri I Manin
1999, xiv+303 pp., ISBN 0-8218-1917-8, $55.00
MR Number: 1702284 (2001g:53156)
American Mathematical Society Colloquium Publications, 47, American Mathematical Society, Providence, RI,
Reviewed by: Alexandre I. Kabanov

Continued fractions, modular symbols, and noncommutative geometry by Yuri I. Manin and Matilde Marcolli
Selecta Math. (N.S.) 8, (2002), no. 3, 475–521
MR Number: 1931172 (2004a:11039)
Reviewed by: Paula Tretkoff

Real multiplication and noncommutative geometry (ein Alterstraum) by Yu. I. Manin
2004, 685–727 pp.; 685–727 pp.
MR Number: 2077591 (2006e:11077)
Reviewed by: Matilde Marcolli

Iterated integrals of modular forms and noncommutative modular symbols by Yuri I. Manin
2006, 565–597 pp.
MR Number: 2263200 (2008a:11062)
Progr. Math., 253,
Reviewed by: Caterina Consani

Journal: Bull. Amer. Math. Soc. 60 (2023), 409-434
Article copyright: © Copyright 2023 American Mathematical Society