What is she best known for?
The fields of study she is best known for:
- Topology
- Algebra
- Pure mathematics
Her scientific interests lie mostly in Braid group, Algebra, Pure mathematics, Braid theory and Combinatorics.
Her Braid group research is multidisciplinary, relying on both Alexander polynomial, Invariant, Hecke algebra and Filtered algebra.
Her biological study spans a wide range of topics, including Manifold and Knot.
Her Braid theory research incorporates elements of Conjugacy problem, Conjugacy class, Knot theory and Word problem.
Her research integrates issues of Mapping class group, Group and Lie algebra in her study of Knot theory.
The study incorporates disciplines such as Knot complement, Quantum invariant, Skein relation, Knot invariant and Jones polynomial in addition to Combinatorics.
Her most cited work include:
- Braids, Links, and Mapping Class Groups. (1442 citations)
- Braids, link polynomials and a new algebra (406 citations)
- Knot polynomials and Vassiliev's invariants (405 citations)
What are the main themes of her work throughout her whole career to date?
Joan S. Birman mainly focuses on Combinatorics, Pure mathematics, Braid group, Algebra and Braid theory.
The Combinatorics study combines topics in areas such as Discrete mathematics, Finite set, Knot invariant, Link and Geodesic.
Her work on Invariant, Abelian group and Riemann surface is typically connected to Holonomic as part of general Pure mathematics study, connecting several disciplines of science.
Her Braid group study combines topics in areas such as Conjugacy problem, Conjugacy class, Unknot, Knot and Polynomial.
Her Algebra research incorporates themes from Diffeomorphism and Real number.
Her Braid theory research is multidisciplinary, incorporating perspectives in Boundary and Surface.
She most often published in these fields:
- Combinatorics (44.72%)
- Pure mathematics (34.96%)
- Braid group (32.52%)
What were the highlights of her more recent work (between 2008-2021)?
- Combinatorics (44.72%)
- Geodesic (7.32%)
- Pure mathematics (34.96%)
In recent papers she was focusing on the following fields of study:
Joan S. Birman mostly deals with Combinatorics, Geodesic, Pure mathematics, Finite set and Algebra.
Joan S. Birman performs integrative study on Combinatorics and Sigma.
Joan S. Birman has researched Pure mathematics in several fields, including Link and Bounded function.
Her research investigates the connection between Finite set and topics such as Simple that intersect with problems in Discrete mathematics.
The Discrete mathematics study combines topics in areas such as Mapping class group and Reduced homology.
Her studies in Algebra integrate themes in fields like Diffeomorphism, Genus and Real number.
Between 2008 and 2021, her most popular works were:
- A new twist on Lorenz links (38 citations)
- Erratum to `Isotopies of homeomorphisms of Riemann surfaces’ (10 citations)
- Finite rigid sets and homologically non-trivial spheres in the curve complex of a surface (10 citations)
In her most recent research, the most cited papers focused on:
- Topology
- Pure mathematics
- Geometry
Pure mathematics, Combinatorics, Riemann surface, Simple and Effective algorithm are her primary areas of study.
Her Pure mathematics research integrates issues from Polynomial and Characteristic polynomial.
Joan S. Birman interconnects Class and Surface in the investigation of issues within Combinatorics.
Her Simple study combines topics from a wide range of disciplines, such as Geodesic and Finite set.
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