What is he best known for?
The fields of study he is best known for:
- Real number
- Algebra
- Mathematical analysis
H. Jerome Keisler spends much of his time researching Discrete mathematics, Pure mathematics, Calculus, Model theory and Mathematical logic.
The various areas that he examines in his Discrete mathematics study include Intersection, Cartesian coordinate system and Quantifier.
He works mostly in the field of Pure mathematics, limiting it down to concerns involving First-order logic and, occasionally, Continuum hypothesis, Algebra and Mathematical proof.
His study of Non-standard analysis is a part of Calculus.
His Model theory research includes elements of Continuous modelling, Class, Hausdorff space, Algebraic operation and Point.
His work investigates the relationship between Mathematical logic and topics such as Set theory that intersect with problems in Computability theory, Proof theory, Second-order arithmetic, Axiom and Classical mathematics.
His most cited work include:
- Handbook of mathematical logic (835 citations)
- Logic with the quantifier “there exist uncountably many” (205 citations)
- Foundations of infinitesimal calculus (146 citations)
What are the main themes of his work throughout his whole career to date?
H. Jerome Keisler mainly focuses on Discrete mathematics, Pure mathematics, Combinatorics, Set and First-order logic.
H. Jerome Keisler interconnects Quantifier and Model theory, Algebra in the investigation of issues within Discrete mathematics.
His work carried out in the field of Model theory brings together such families of science as Continuous modelling, Cardinality, Mathematical logic and Class.
His research integrates issues of Calculus, Set theory and Association in his study of Mathematical logic.
His Pure mathematics research is multidisciplinary, incorporating elements of Space, Separable space and Order.
His Combinatorics study combines topics in areas such as Sentence, Almost everywhere and Axiom.
He most often published in these fields:
- Discrete mathematics (36.73%)
- Pure mathematics (19.05%)
- Combinatorics (14.29%)
What were the highlights of his more recent work (between 2013-2020)?
- Discrete mathematics (36.73%)
- sort (6.12%)
- Mathematical economics (10.20%)
In recent papers he was focusing on the following fields of study:
H. Jerome Keisler focuses on Discrete mathematics, sort, Mathematical economics, Pure mathematics and Probability space.
In his papers, H. Jerome Keisler integrates diverse fields, such as Discrete mathematics and Large class.
The Mathematical economics study combines topics in areas such as Type and Rationality.
His Borel set study, which is part of a larger body of work in Pure mathematics, is frequently linked to Hidden variable theory, bridging the gap between disciplines.
His study looks at the relationship between Probability space and fields such as First order theory, as well as how they intersect with chemical problems.
His Set research is multidisciplinary, relying on both Separable space, First-order logic and Artificial intelligence.
Between 2013 and 2020, his most popular works were:
- Finite Approximations of Infinitely Long Formulas (28 citations)
- SEPARABLE MODELS OF RANDOMIZATIONS (10 citations)
- A Canonical Hidden-Variable Space (4 citations)
In his most recent research, the most cited papers focused on:
- Real number
- Algebra
- Mathematical analysis
H. Jerome Keisler mainly investigates Discrete mathematics, sort, Set, First order theory and Probability space.
His study in the fields of Finitary under the domain of Discrete mathematics overlaps with other disciplines such as Large class.
A majority of his sort research is a blend of other scientific areas, such as Probability density function, Countable set, Separable space, Isomorphism and Complete theory.
H. Jerome Keisler combines subjects such as Prime model, Information retrieval and Artificial intelligence with his study of Set.
His study in First order theory is interdisciplinary in nature, drawing from both Combinatorics, Independence, Mathematical economics, Closure and Definable set.
His study connects Element and Probability space.
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