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- Michael F. Singer

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
34
Citations
5,464
124
World Ranking
2027
National Ranking
869

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Algebra
- Pure mathematics

Michael F. Singer mainly investigates Mathematical analysis, Linear differential equation, Differential Galois theory, Pure mathematics and Algebraic differential equation. His Mathematical analysis research focuses on Differential equation in particular. As a part of the same scientific family, he mostly works in the field of Linear differential equation, focusing on Stochastic partial differential equation and, on occasion, Numerical partial differential equations, Ordinary differential equation, Separable partial differential equation and Differential algebraic equation.

His Differential Galois theory study focuses on Galois group and Algebra. In general Galois group, his work in Embedding problem is often linked to Difference algebra linking many areas of study. Michael F. Singer works on Pure mathematics which deals in particular with Rational function.

- Galois theory of linear differential equations (712 citations)
- Elementary first integrals of differential equations (235 citations)
- Liouvillian first integrals of differential equations (208 citations)

Michael F. Singer mostly deals with Pure mathematics, Galois group, Algebra, Linear differential equation and Differential Galois theory. His Pure mathematics study combines topics from a wide range of disciplines, such as Fundamental matrix, Differential and Differential equation. Galois group is a primary field of his research addressed under Discrete mathematics.

His Linear differential equation research entails a greater understanding of Mathematical analysis. His Differential Galois theory research is multidisciplinary, incorporating elements of Fundamental theorem of Galois theory, Galois theory and Algebraic differential equation. In his study, which falls under the umbrella issue of Algebraic differential equation, Group theory is strongly linked to Differential algebraic geometry.

- Pure mathematics (48.23%)
- Galois group (28.37%)
- Algebra (26.24%)

- Pure mathematics (48.23%)
- Algebra (26.24%)
- Rational function (13.48%)

Michael F. Singer mainly investigates Pure mathematics, Algebra, Rational function, Linear differential equation and Galois group. His Pure mathematics study combines topics in areas such as Function, Combinatorics and Differential equation. In most of his Algebra studies, his work intersects topics such as Algebraic differential equation.

His biological study spans a wide range of topics, including Monodromy, Gravitational singularity and Algebraic number. Michael F. Singer interconnects Parameterized complexity and Algebraic group in the investigation of issues within Galois group. His work focuses on many connections between Differential Galois theory and other disciplines, such as Group theory, that overlap with his field of interest in Differential algebraic geometry.

- UNIPOTENT DIFFERENTIAL ALGEBRAIC GROUPS AS PARAMETERIZED DIFFERENTIAL GALOIS GROUPS (36 citations)
- Monodromy groups of parameterized linear differential equations with regular singularities (35 citations)
- On the nature of the generating series of walks in the quarter plane (35 citations)

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.

Galois theory of linear differential equations

Marius van der Put;Michael F. Singer.

**(2003)**

1117 Citations

Galois theory of linear differential equations

Marius van der Put;Michael F. Singer.

**(2003)**

1117 Citations

Elementary first integrals of differential equations

M. J. Prelle;M. F. Singer.

Transactions of the American Mathematical Society **(1983)**

389 Citations

Elementary first integrals of differential equations

M. J. Prelle;M. F. Singer.

Transactions of the American Mathematical Society **(1983)**

389 Citations

Liouvillian first integrals of differential equations

Michael F. Singer.

Transactions of the American Mathematical Society **(1992)**

381 Citations

Liouvillian first integrals of differential equations

Michael F. Singer.

Transactions of the American Mathematical Society **(1992)**

381 Citations

Galois Theory of Difference Equations

Marius van der Put;Michael F. Singer.

**(1997)**

368 Citations

Galois Theory of Difference Equations

Marius van der Put;Michael F. Singer.

**(1997)**

368 Citations

Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations

Michael F. Singer.

American Journal of Mathematics **(1981)**

190 Citations

Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations

Michael F. Singer.

American Journal of Mathematics **(1981)**

190 Citations

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