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- Wolfgang M. Schmidt

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
42
Citations
7,291
167
World Ranking
1220
National Ranking
561

2013 - Fellow of the American Mathematical Society

2012 - Fellow of the American Association for the Advancement of Science (AAAS)

2004 - Fellow of the American Society of Mechanical Engineers

1994 - Fellow of the American Academy of Arts and Sciences

1990 - Fellow of John Simon Guggenheim Memorial Foundation

1972 - Frank Nelson Cole Prize in Number Theory

- Mathematical analysis
- Algebra
- Real number

The scientist’s investigation covers issues in Discrete mathematics, Combinatorics, Diophantine equation, Algebraic number field and Pure mathematics. Wolfgang M. Schmidt works in the field of Discrete mathematics, namely Thue equation. His Combinatorics study combines topics from a wide range of disciplines, such as Constant, Distribution and Field.

His Algebraic number field research is multidisciplinary, relying on both Binomial, Coprime integers, Bounded function, Special case and Function. His Subspace theorem, Schatten norm and Operator norm study in the realm of Pure mathematics interacts with subjects such as Condition number and Dual norm. His Diophantine approximation study which covers Diophantine set that intersects with Analytic number theory.

- Equations over Finite Fields: An Elementary Approach (349 citations)
- Irregularities of distribution, VII (229 citations)
- ON BADLY APPROXIMABLE NUMBERS AND CERTAIN GAMES (226 citations)

Wolfgang M. Schmidt mainly focuses on Discrete mathematics, Combinatorics, Pure mathematics, Mathematical analysis and Diophantine equation. The concepts of his Discrete mathematics study are interwoven with issues in Algebraic number, Exponential function and Cubic function. His Algebraic number research integrates issues from Rational number and Field.

He combines subjects such as Quadratic field and Finite set with his study of Combinatorics. He studies Subspace theorem which is a part of Pure mathematics. Wolfgang M. Schmidt interconnects Function and Special case in the investigation of issues within Algebraic number field.

- Discrete mathematics (32.56%)
- Combinatorics (25.58%)
- Pure mathematics (13.95%)

- Combinatorics (25.58%)
- Discrete mathematics (32.56%)
- Mathematical analysis (12.79%)

His scientific interests lie mostly in Combinatorics, Discrete mathematics, Mathematical analysis, Diophantine equation and Geometry of numbers. The study incorporates disciplines such as Field, Term, Algebra and Additive group in addition to Combinatorics. His Field research is multidisciplinary, incorporating perspectives in Natural number, Upper and lower bounds and Multiplicative group.

His studies deal with areas such as Exponential polynomial and Finite set as well as Discrete mathematics. Wolfgang M. Schmidt has researched Mathematical analysis in several fields, including Convex body and Degree. His Diophantine equation research is multidisciplinary, incorporating elements of Polynomial and Exponential function.

- Linear equations in variables which Lie in a multiplicative group (199 citations)
- On continued fractions and diophantine approximation in power series fields (110 citations)
- Asymptotic moments of near–neighbour distance distributions (81 citations)

- Mathematical analysis
- Algebra
- Real number

His primary areas of investigation include Combinatorics, Mathematical analysis, Pure mathematics, Geometry of numbers and Diophantine approximation. His Combinatorics study combines topics from a wide range of disciplines, such as Exponential type and Term. His Mathematical analysis study deals with Convex body intersecting with Diophantine geometry and Infinity.

His work on Multiplicity expands to the thematically related Pure mathematics. In his research, Discrete mathematics is intimately related to Power series, which falls under the overarching field of Diophantine approximation. His Discrete mathematics research is mostly focused on the topic Number theory.

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.

Equations over Finite Fields: An Elementary Approach

Wolfgang M. Schmidt.

**(1976)**

573 Citations

Irregularities of distribution, VII

Wolfgang M. Schmidt.

Acta Arithmetica **(1972)**

357 Citations

ON BADLY APPROXIMABLE NUMBERS AND CERTAIN GAMES

Wolfgang M. Schmidt.

Transactions of the American Mathematical Society **(1966)**

351 Citations

The density of integer points on homogeneous varieties

Wolfgang M. Schmidt.

Acta Mathematica **(1985)**

336 Citations

Diophantine Approximations and Diophantine Equations

Wolfgang M. Schmidt.

**(1991)**

313 Citations

Linear equations in variables which Lie in a multiplicative group

Jan-Hendrik Evertse;Hans Peter Schlickewei;Wolfgang M. Schmidt.

Annals of Mathematics **(2002)**

247 Citations

Norm Form Equations

Wolfgang M. Schmidt.

Annals of Mathematics **(1972)**

236 Citations

Metrical theorems on fractional parts of sequences

Wolfgang M. Schmidt.

Transactions of the American Mathematical Society **(1964)**

221 Citations

Badly approximable systems of linear forms

Wolfgang M. Schmidt.

Journal of Number Theory **(1969)**

211 Citations

Irregularities of distribution

Wolfgang M. Schmidt.

Quarterly Journal of Mathematics **(1968)**

195 Citations

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