I. E. Segal

8.3k citations

135 papers · 4.2k indexed · 2 hit papers · h-index 33

Impact in

Mathematical Physics top 0.1%
- Advanced Operator Algebra Research
- Spectral Theory in Mathematical Physics
- Advanced Mathematical Physics Problems
- advanced mathematical theories
Algebra and Number Theory top 1%
- Advanced Topics in Algebra

Papers in

Instrumentation 12
- Astronomy and Astrophysical Research 12
Mathematical Physics 29

Co-authors: D. J. Thouless George W. Mackey John C. Baez Stephen M. Paneitz J. F. Nicoll Zhengfang Zhou Ray A. Kunze Mark Kon
Journals: Proceedings of the National Academy of Sciences (31 papers)The Astrophysical Journal (14 papers)Journal of Functional Analysis (14 papers)Transactions of the American Mathematical Society (7 papers)Annals of Mathematics (7 papers)
Partner nations: United States Germany Denmark

In The Last Decade

I. E. Segal

129 papers receiving 3.3k citations

Hit Papers

align trajectories log scale

The Quantum Mechanics of Many-Body Systems. 1963 · 258 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

1963 American Mathematical Monthly
1963 Annals of Mathematics

Peers

Countries citing papers authored by I. E. Segal

Since Specialization

Citations

This map shows the geographic impact of I. E. Segal's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by I. E. Segal with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites I. E. Segal more than expected).

Fields of papers citing papers by I. E. Segal

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by I. E. Segal. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by I. E. Segal. The network helps show where I. E. Segal may publish in the future.

Co-authorship network

The 23 scholars most cited alongside I. E. Segal, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with I. E. Segal Line = papers co-authored together I. E. Segal links everyone, so they are left out of the graph.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

#	Work
1	Spinor Currents as Vector Particles Journal of Functional Analysis ·I. E. Segal, David A. Vogan, Zhengfang Zhou	1998	1
2	Introduction to Algebraic and Constructive Quantum Field Theory Princeton University Press eBooks ·John C. Baez, I. E. Segal, Zhengfang Zhou	1992	105
3	Singular operators on boson fields as forms on spaces of entire functions on Hilbert space Journal of Functional Analysis ·Stephen M. Paneitz, Jan Pedersen, I. E. Segal, Caiping Zhou	1991	7
4	The global Goursat problem and scattering for nonlinear wave equations Journal of Functional Analysis ·John C. Baez, I. E. Segal, M. Grainger	1990	29
5	A pilot model in two dimensions for conformally invariant particle theory Journal of Functional Analysis ·Bent Ørsted, I. E. Segal	1989	1
6	Analysis in space-time bundles IV. Natural bundles deforming into and composed of the same invariant factors as the spin and form bundles Journal of Functional Analysis ·Stephen M. Paneitz, I. E. Segal, David A. Vogan	1987	10
7	Studies in applied mathematics : a volume dedicated to Irving Segal Academic Press eBooks ·I. E. Segal, Victor Guillemin	1983	1
8	The Yang-Mills equations on the universal cosmos Journal of Functional Analysis ·Yvonne Choquet–Bruhat, Stephen M. Paneitz, I. E. Segal	1983	15
9	Analysis in space-time bundles, II. The spinor and form bundles Journal of Functional Analysis ·Stephen M. Paneitz, I. E. Segal	1982	17
10	The redshift-magnitude relation for bright galaxies at low redshifts Monthly Notices of the Royal Astronomical Society ·I. E. Segal	1980	3
11	The cauchy problem for the Yang-Mills equations Journal of Functional Analysis ·I. E. Segal	1979	44
12	Nonlinear functions of weak processes. I Journal of Functional Analysis ·I. E. Segal	1969	38
13	Proceedings of a conference on the theory and applications of analysis in function space held at Endicott House in Dedham, Massachusetts, June 9-13, 1963 MIT Press eBooks ·Mujarhi Junaidah, I. E. Segal	1964	3
14	Mathematical problems of relativistic physics American Mathematical Society eBooks ·I. E. Segal, George W. Mackey	1963	234
15	Foundations of the theory of dynamical systems of infinitely many degrees of freedom I. E. Segal	1959	32
16	Distributions in Hilbert Space and Canonical Systems of Operators Transactions of the American Mathematical Society ·I. E. Segal	1958	31
17	Tensor Algebras Over Hilbert Spaces. I Transactions of the American Mathematical Society ·I. E. Segal	1956	41
18	Tensor algebras over Hilbert spaces. I Transactions of the American Mathematical Society ·I. E. Segal	1956	206
19	A mathematical approach to elementary particles and their fields I. E. Segal	1955	3
20	Hypermaximality of certain operators on Lie groups Proceedings of the American Mathematical Society ·I. E. Segal	1952	25

About I. E. Segal

I. E. Segal is a scholar working on Instrumentation, Mathematical Physics, Statistical and Nonlinear Physics, Astronomy and Astrophysics and Applied Mathematics, having authored 135 papers that have together received 4.2k indexed citations. Recurring topics across this work include Cosmology and Gravitation Theories (27 papers), Relativity and Gravitational Theory (18 papers), Galaxies: Formation, Evolution, Phenomena (12 papers), Astronomy and Astrophysical Research (12 papers), Scientific Research and Discoveries (12 papers), Statistical and numerical algorithms (10 papers), Noncommutative and Quantum Gravity Theories (10 papers) and Quantum Mechanics and Applications (10 papers). The work is most often cited by research in Mathematical Physics (2.2k citations), Algebra and Number Theory (706 citations), Applied Mathematics (1.1k citations), Statistical and Nonlinear Physics (996 citations) and Geometry and Topology (426 citations). I. E. Segal has collaborated with scholars based in United States, Germany and Denmark. Frequent co-authors include D. J. Thouless, George W. Mackey, John C. Baez, Stephen M. Paneitz, J. F. Nicoll, Zhengfang Zhou, Ray A. Kunze, Mark Kon, Keith R. Phillips and Hans Plesner Jakobsen. Their work appears in journals such as Proceedings of the National Academy of Sciences, The Astrophysical Journal, Journal of Functional Analysis, Transactions of the American Mathematical Society and Annals of Mathematics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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