What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Algebra
His primary areas of study are Mathematical physics, Compactification, Differential calculus, Pure mathematics and Noncommutative geometry.
His work on Dimensional reduction, Gauss–Bonnet theorem, Ansatz and Gauge theory is typically connected to Infinite set as part of general Mathematical physics study, connecting several disciplines of science.
His Gauge theory research incorporates elements of Lorentz transformation and Teleparallelism.
As a member of one scientific family, Folkert Müller-Hoissen mostly works in the field of Compactification, focusing on Second derivative and, on occasion, Euler's formula and Quantum mechanics.
The Differential calculus study combines topics in areas such as Hopf algebra, Lattice model and Time-scale calculus.
Folkert Müller-Hoissen studies Differential form which is a part of Pure mathematics.
His most cited work include:
- Spontaneous compactification with quadratic and cubic curvature terms (135 citations)
- Spatially homogeneous and isotropic spaces in theories of gravitation with torsion (83 citations)
- Noncommutative differential calculus and lattice gauge theory (80 citations)
What are the main themes of his work throughout his whole career to date?
Folkert Müller-Hoissen mainly investigates Pure mathematics, Mathematical physics, Noncommutative geometry, Matrix and Integrable system.
His Pure mathematics research includes themes of Soliton, Associative property and Differential.
His research in Mathematical physics intersects with topics in Limit and Nonlinear system.
When carried out as part of a general Noncommutative geometry research project, his work on Noncommutative quantum field theory is frequently linked to work in Hierarchy, Associative algebra and Moyal product, therefore connecting diverse disciplines of study.
The various areas that Folkert Müller-Hoissen examines in his Matrix study include Transformation, Kadomtsev–Petviashvili equation and Mathematical analysis, System of linear equations.
His Differential calculus study combines topics in areas such as Differential form, Lattice model, Quantum differential calculus and Time-scale calculus.
He most often published in these fields:
- Pure mathematics (49.35%)
- Mathematical physics (30.52%)
- Noncommutative geometry (29.87%)
What were the highlights of his more recent work (between 2011-2020)?
- Pure mathematics (49.35%)
- Soliton (16.88%)
- Matrix (22.73%)
In recent papers he was focusing on the following fields of study:
Folkert Müller-Hoissen focuses on Pure mathematics, Soliton, Matrix, Kadomtsev–Petviashvili equation and Binary number.
His Pure mathematics research integrates issues from Associative property, Lattice and Algebra.
In his study, Noncommutative geometry and Zero is inextricably linked to System of linear equations, which falls within the broad field of Associative property.
His Soliton research is multidisciplinary, relying on both Binary tree, Combinatorics, Yang–Baxter equation, Planar graph and Limit.
His work carried out in the field of Matrix brings together such families of science as Mathematical physics, Time-scale calculus, Nonlinear system, Transformation and Differential equation.
Much of his study explores Mathematical physics relationship to Partial derivative.
Between 2011 and 2020, his most popular works were:
- Associahedra, Tamari Lattices and Related Structures (20 citations)
- KdV soliton interactions: a tropical view (16 citations)
- Matrix KP: tropical limit and Yang–Baxter maps (16 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
Folkert Müller-Hoissen spends much of his time researching Soliton, Combinatorics, Mathematical physics, Kadomtsev–Petviashvili equation and Pure mathematics.
His work in Soliton covers topics such as Binary tree which are related to areas like Linear extension and Hasse diagram.
His Mathematical physics study integrates concerns from other disciplines, such as Limit and Partial derivative.
His Kadomtsev–Petviashvili equation study combines topics in areas such as Matrix and Planar graph.
His study looks at the intersection of Matrix and topics like Linear system with Integrable system.
His biological study spans a wide range of topics, including Partially ordered set and Algebra.
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