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- Steve Smale

Mathematics

China

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
71
Citations
41,466
169
World Ranking
167
National Ranking
8

2023 - Research.com Mathematics in China Leader Award

2022 - Research.com Mathematics in China Leader Award

2006 - Wolf Prize in Mathematics for his groundbreaking contributions that have played a fundamental role in shaping differential topology, dynamical systems, mathematical economics, and other subjects in mathematics.

1996 - US President's National Medal of Science "For his pioneering contributions to mathematics in the fields of differential topology and dynamical systems, and for applications to physics, biology, economics, and the theory of computation.", Awarded by President Clinton in a White House ceremony on July 26, 1996. Note: Dr. Smale is also Professor, City University of Hong Kong.

1989 - John von Neumann Lecturer

1970 - Fellow of the American Association for the Advancement of Science (AAAS)

1970 - Member of the National Academy of Sciences

1968 - Fellow of the American Academy of Arts and Sciences

1966 - Fields Medal of International Mathematical Union (IMU) Worked in differential topology where he proved the generalized Poincaré conjecture in dimension n≥5: Every closed, n-dimensional manifold homotopy-equivalent to the n-dimensional sphere is homeomorphic to it. Introduced the method of handle-bodies to solve this and related problems.

1960 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Topology
- Algebra

Steve Smale spends much of his time researching Algebra, Applied mathematics, Pure mathematics, Differential equation and Structural complexity theory. His studies in Algebra integrate themes in fields like Discrete mathematics, Complexity class, Real computation and Linear differential equation. His studies deal with areas such as Condition number and Ring as well as Discrete mathematics.

His work in the fields of Pure mathematics, such as Manifold and Morphism, intersects with other areas such as SPHERES and Differential topology. His research integrates issues of Dynamical systems theory and Vector notation in his study of Differential equation. His work on Linear dynamical system as part of general Dynamical systems theory research is frequently linked to Projected dynamical system, thereby connecting diverse disciplines of science.

- Differentiable dynamical systems (2661 citations)
- Differential Equations, Dynamical Systems, and Linear Algebra (2341 citations)
- Complexity and Real Computation (1290 citations)

Steve Smale focuses on Pure mathematics, Algebra, Mathematical analysis, Applied mathematics and Discrete mathematics. His Manifold, Homotopy and Differentiable function study in the realm of Pure mathematics interacts with subjects such as Differential topology. Specifically, his work in Algebra is concerned with the study of Linear algebra.

He does research in Mathematical analysis, focusing on Differential equation specifically. The concepts of his Applied mathematics study are interwoven with issues in Numerical analysis, Polynomial and Newton's method. His Discrete mathematics study incorporates themes from Ring and Reproducing kernel Hilbert space.

- Pure mathematics (15.74%)
- Algebra (14.21%)
- Mathematical analysis (11.68%)

- Mathematical analysis (11.68%)
- Pure mathematics (15.74%)
- Differential equation (7.11%)

Steve Smale focuses on Mathematical analysis, Pure mathematics, Differential equation, Pitchfork bifurcation and Bifurcation. His Mathematical analysis research also works with subjects such as

- Partition and Vector field most often made with reference to Nonlinear system,
- Flow which intersects with area such as Picard–Lindelöf theorem, Uniqueness and Differentiable function,
- Poincaré map which connect with Slope field. Steve Smale has researched Pure mathematics in several fields, including Linear system, Algebra, Euclidean geometry and Space, Topology.

His work in the fields of Algebra, such as Homology, overlaps with other areas such as Filtered algebra. His study in the field of Independent equation also crosses realms of Time evolution. His work deals with themes such as Hopf bifurcation and Applied mathematics, which intersect with Mathematical proof.

- Functional organization of the human 4D Nucleome (85 citations)
- Functional organization of the human 4D Nucleome (85 citations)
- Discrete Dynamical Systems (32 citations)

- Mathematical analysis
- Topology
- Algebra

His primary areas of study are Computational biology, Transcription factories, Circadian clock, Human genome and Gene. In the field of Computational biology, his study on Systems biology overlaps with subjects such as Transcriptome. His Transcription factories research is included under the broader classification of Genetics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Morris W. Hirsch;Stephen Smale;Robert L. Devaney.

**(2003)**

5705 Citations

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Morris W. Hirsch;Stephen Smale;Robert L. Devaney.

**(2003)**

5705 Citations

Differentiable dynamical systems

Steve Smale.

Bulletin of the American Mathematical Society **(1967)**

4953 Citations

Differentiable dynamical systems

Steve Smale.

Bulletin of the American Mathematical Society **(1967)**

4953 Citations

Differential Equations, Dynamical Systems, and Linear Algebra

Morris W. Hirsch;Stephen Smale.

**(1974)**

3973 Citations

Differential Equations, Dynamical Systems, and Linear Algebra

Morris W. Hirsch;Stephen Smale.

**(1974)**

3973 Citations

On the mathematical foundations of learning

Felipe Cucker;Steve Smale;Steve Smale.

Bulletin of the American Mathematical Society **(2001)**

2182 Citations

On the mathematical foundations of learning

Felipe Cucker;Steve Smale;Steve Smale.

Bulletin of the American Mathematical Society **(2001)**

2182 Citations

Complexity and Real Computation

Lenore Blum;Felipe Cucker;Michael Shub;Steve Smale.

**(1997)**

1990 Citations

Complexity and Real Computation

Lenore Blum;Felipe Cucker;Michael Shub;Steve Smale.

**(1997)**

1990 Citations

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