What is he best known for?
The fields of study Yann Bugeaud is best known for:
- Real number
- Number theory
- Hyperelliptic curve cryptography
Yann Bugeaud conducts interdisciplinary study in the fields of Pure mathematics and Applied mathematics through his works.
Yann Bugeaud connects Applied mathematics with Pure mathematics in his research.
He undertakes interdisciplinary study in the fields of Mathematical analysis and Distribution (mathematics) through his works.
He conducts interdisciplinary study in the fields of Distribution (mathematics) and Mathematical analysis through his research.
Yann Bugeaud regularly links together related areas like Hausdorff dimension in his Combinatorics studies.
His Discrete mathematics study frequently draws connections between adjacent fields such as Diophantine approximation.
He undertakes interdisciplinary study in the fields of Diophantine approximation and Real number through his works.
In his research, Yann Bugeaud undertakes multidisciplinary study on Real number and Discrete mathematics.
He merges many fields, such as Diophantine equation and Algebraic number, in his writings.
His most cited work include:
- Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers (227 citations)
- On the complexity of algebraic numbers I. Expansions in integer bases (167 citations)
- Approximation by algebraic numbers (110 citations)
What are the main themes of his work throughout his whole career to date
Diophantine equation is connected with Diophantine approximation and Diophantine set in his research.
He integrates several fields in his works, including Diophantine approximation and Diophantine equation.
His study connects Prime (order theory) and Combinatorics.
His research on Prime (order theory) often connects related topics like Combinatorics.
His Pure mathematics study frequently intersects with other fields, such as Algebra over a field.
Much of his study explores Algebra over a field relationship to Pure mathematics.
Yann Bugeaud connects Discrete mathematics with Geometry in his research.
Geometry and Discrete mathematics are two areas of study in which Yann Bugeaud engages in interdisciplinary work.
Mathematical analysis connects with themes related to Algebraic number in his study.
Yann Bugeaud most often published in these fields:
- Combinatorics (61.79%)
- Pure mathematics (52.85%)
- Discrete mathematics (50.41%)
What were the highlights of his more recent work (between 2016-2019)?
- Combinatorics (75.00%)
- Linguistics (75.00%)
- Mathematical analysis (50.00%)
In recent works Yann Bugeaud was focusing on the following fields of study:
In his work, Exponent is strongly intertwined with Linguistics, which is a subfield of Zero (linguistics).
His research combines Linguistics and Exponent.
His Programming language study frequently intersects with other fields, such as Integer (computer science) and Set (abstract data type).
His Set (abstract data type) study frequently draws connections between related disciplines such as Programming language.
His studies link Prime (order theory) with Combinatorics.
Mathematical analysis and Distribution (mathematics) are two areas of study in which he engages in interdisciplinary research.
He applies his multidisciplinary studies on Distribution (mathematics) and Mathematical analysis in his research.
His work on Sequence (biology) is being expanded to include thematically relevant topics such as Biochemistry.
His Biochemistry study frequently draws connections between adjacent fields such as Sequence (biology).
Between 2016 and 2019, his most popular works were:
- A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers (11 citations)
- Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers (9 citations)
- Hausdorff dimension and uniform exponents in dimension two (6 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.
