2026 Yuri I. Manin: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	51	1011	51	248	12297

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

1011

248

12297

Research.com Recognitions

2005 - Academie des sciences, France
2004 - Fellow of the American Academy of Arts and Sciences
2000 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
1999 - Rolf Schock Prize for Mathematics
1993 - Member of Academia Europaea
1987 - Brouwer Medal

Overview

Yuri I. Manin was affiliated with the Max Planck Institute for Mathematics in Germany. Their research contributions spanned across various fields, primarily within mathematics and computer science, focusing on several specialized subfields.

The main fields of study included:

Mathematics
Computer Science

Within these broader disciplines, their work concentrated on the following subfields:

Geometry and Topology
Mathematical Physics
Algebra and Number Theory
Computational Theory and Mathematics
Artificial Intelligence

The key topics in their research covered:

Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Algebraic Geometry and Number Theory
Advanced Topics in Algebra
Topological and Geometric Data Analysis
Computability, Logic, AI Algorithms
Commutative Algebra and Its Applications

Yuri I. Manin co-authored several papers with frequent collaborators, including:

Matilde Marcolli
Noémie C. Combe
Bruno Vallette
Joshua F. Lieber
Enno Keßler

Their publications appeared in notable venues such as:

arXiv (Cornell University)
Documenta Mathematica
Compositionality
Complex Analysis and Operator Theory
Symmetry Integrability and Geometry Methods and Applications

Some of Yuri I. Manin's recent papers include:

Monoidal Structures on the Categories of Quadratic Data, 2020, Documenta Mathematica
Homotopy Theoretic and Categorical Models of Neural Information Networks, 2024, Compositionality
Quantum Statistical Mechanics of the Absolute Galois Group, 2020, Symmetry Integrability and Geometry Methods and Applications
Symmetries of genus zero modular operad, 2021, Proceedings of symposia in pure mathematics
Homotopy Spectra and Diophantine Equations, 2021, arXiv (Cornell University)

Their career was recognized through several awards and honors:

Brouwer Medal, 1987
Member of Academia Europaea, 1993
German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina - Nationale Akademie der Wissenschaften for Mathematics, 2000
Fellow of the American Academy of Arts and Sciences, 2004
Academie des sciences, France, 2005
Rolf Schock Prize for Mathematics, 1999

Best Publications

Methods of Homological Algebra

Sergei I. Gelfand;Yuri I. Manin

1181
Citations
Gauge Field Theory and Complex Geometry

Yuri Ivanovich Manin

936
Citations
Frobenius manifolds, quantum cohomology, and moduli spaces

Yuri I. Manin

908
Citations
A Course in Mathematical Logic for Mathematicians

Yuri I. Manin

521
Citations
Rational points of bounded height on Fano varieties

Jens Franke;Jens Franke;Yuri I. Manin;Yuri Tschinkel

511
Citations
Stacks of Stable Maps and Gromov-Witten Invariants

Unknown

385
Citations
Some remarks on Koszul algebras and quantum groups

Yu. I. Manin

369
Citations
THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC

Yu I Manin

366
Citations
Linear Algebra and Geometry

P. K. Suetin;Alexandra I. Kostrikin;Yu I Manin

333
Citations
A course in mathematical logic

Yu. I. Manin

297
Citations
Algebraic aspects of nonlinear differential equations

Unknown

235
Citations
Weak Frobenius manifolds

Claus Hertling;Yuri Manin

226
Citations
AUTOMORPHIC PSEUDODIFFERENTIAL OPERATORS

Paula Beazley Cohen;Yuri Manin;Don Zagier

183
Citations
Arrangements of Hyperplanes, Higher Braid Groups and Higher Bruhat Orders

Unknown

175
Citations
Non-Standard Quantum Deformations of GL(n) and Constant Solutions of the Yang-Baxter Equation

Unknown

174
Citations
SIXTH PAINLEVÉ EQUATION , UNIVERSAL ELLIPTIC CURVE , AND MIRROR OF P 2

Unknown

163
Citations
Lectures on the K-Functor in Algebraic Geometry

Unknown

149
Citations
Real Multiplication and noncommutative geometry

Yuri I. Manin

147
Citations
Generating Functions in Algebraic Geometry and Sums Over Trees

Unknown

135
Citations
Topics in Non-Commutative Geometry

Y. Manin

127
Citations
Continued fractions, modular symbols, and noncommutative geometry

Yuri I. Manin;Matilde Marcolli

126
Citations
Multiple zeta-motives and moduli spaces M_{0,n}

A. B. Goncharov;Yu. I. Manin

123
Citations
Holography principle and arithmetic of algebraic curves

Yuri I. Manin;Matilde Marcolli

116
Citations
F-manifolds with flat structure and Dubrovin's duality

Yuri I. Manin;Yuri I. Manin

111
Citations
Iterated integrals of modular forms and noncommutative modular symbols

Yuri I. Manin

106
Citations
Rational varieties: algebra, geometry and arithmetic

Yu I Manin;M A Tsfasman

105
Citations
Geometry and Dynamics of Groups and Spaces

Mikhail Kapranov;Yuri Ivanovich Manin;Pieter Moree;Sergiy Kolyada

16
Citations

Frequent Co-Authors

Matilde Marcolli California Institute of Technology

S. P. Novikov Russian Academy of Sciences

Dmitri Orlov Steklov Mathematical Institute

Fabrizio Catanese University of Bayreuth

Yuri Tschinkel Courant Institute of Mathematical Sciences

Maxim Kontsevich Institut des Hautes Études Scientifiques

Yakov G. Sinai Princeton University

Igor Moiseevich Krichever Columbia University

Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics

Victor G. Kac MIT

External Links

Wikipedia of Yuri I. Manin

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