What is he best known for?
The fields of study he is best known for:
- Algebra
- Mathematical analysis
- Pure mathematics
His primary scientific interests are in Algebra, Pure mathematics, Combinatorics, Discrete mathematics and Elliptic curve.
His research in the fields of Algebraic variety, Fundamental theorem of Galois theory and Galois extension overlaps with other disciplines such as Diophantine geometry.
While working in this field, Barry Mazur studies both Pure mathematics and Heegner point.
His study in the fields of Homomorphism under the domain of Combinatorics overlaps with other disciplines such as Algebraic extension.
His Discrete mathematics study incorporates themes from Winding number and Abelian group.
His research ties Algebraic number field and Elliptic curve together.
His most cited work include:
- Modular curves and the Eisenstein ideal (806 citations)
- Arithmetic moduli of elliptic curves (622 citations)
- Rational Isogenies of Prime Degree (551 citations)
What are the main themes of his work throughout his whole career to date?
Barry Mazur mainly focuses on Pure mathematics, Combinatorics, Elliptic curve, Discrete mathematics and Algebraic number field.
His research integrates issues of Moduli and Algebra in his study of Pure mathematics.
In most of his Combinatorics studies, his work intersects topics such as Class number.
His Elliptic curve study integrates concerns from other disciplines, such as Quadratic equation, Arithmetic and Rank.
His biological study spans a wide range of topics, including Abelian group, Rational point and Conjecture.
He has researched Galois module in several fields, including Galois group and Galois extension.
He most often published in these fields:
- Pure mathematics (36.04%)
- Combinatorics (16.75%)
- Elliptic curve (14.72%)
What were the highlights of his more recent work (between 2012-2020)?
- Combinatorics (16.75%)
- Pure mathematics (36.04%)
- Algebraic number field (13.71%)
In recent papers he was focusing on the following fields of study:
Combinatorics, Pure mathematics, Algebraic number field, Elliptic curve and Spectrum are his primary areas of study.
His Combinatorics research integrates issues from Order and Spin-½.
In the subject of general Pure mathematics, his work in Cohomology is often linked to Trigonometric substitution, thereby combining diverse domains of study.
His Algebraic number field study is concerned with the field of Discrete mathematics as a whole.
His Elliptic curve study also includes
- Absolute Galois group which is related to area like Twists of curves,
- Distribution which intersects with area such as Markov process.
His Integer research is multidisciplinary, relying on both Isomorphism and Character, Algebra.
Between 2012 and 2020, his most popular works were:
- Disparity in Selmer Ranks of Quadratic Twists of Elliptic Curves (37 citations)
- The spin of prime ideals (24 citations)
- Controlling Selmer groups in the higher core rank case (17 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Mathematical analysis
- Pure mathematics
Barry Mazur spends much of his time researching Pure mathematics, Elliptic curve, Combinatorics, Conjecture and Quadratic equation.
His Pure mathematics study frequently links to adjacent areas such as Rational point.
As a part of the same scientific family, Barry Mazur mostly works in the field of Elliptic curve, focusing on Algebraic number field and, on occasion, Character, Isomorphism, Integer and Elliptic rational functions.
His work deals with themes such as Mathematical proof and Argument, which intersect with Combinatorics.
His Conjecture research is multidisciplinary, incorporating elements of Term, Class number, Order and Generalization.
The various areas that Barry Mazur examines in his Quadratic equation study include Absolute Galois group, Markov process, Markov model and Distribution.
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.
