What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Differentiable dynamical systems (2661 citations)
- Differential Equations, Dynamical Systems, and Linear Algebra (2341 citations)
- Complexity and Real Computation (1290 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (15.74%)
- Algebra (14.21%)
- Mathematical analysis (11.68%)
What were the highlights of his more recent work (between 2011-2018)?
- Mathematical analysis (11.68%)
- Pure mathematics (15.74%)
- Differential equation (7.11%)
In recent papers he was focusing on the following fields of study:
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.
Between 2011 and 2018, his most popular works were:
- Functional organization of the human 4D Nucleome (85 citations)
- Functional organization of the human 4D Nucleome (85 citations)
- Discrete Dynamical Systems (32 citations)
In his most recent research, the most cited papers focused on:
- 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.
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