Philip Ehrlich

558 total citations
21 papers, 234 citations indexed

About

Philip Ehrlich is a scholar working on Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Philip Ehrlich has authored 21 papers receiving a total of 234 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Mathematical Physics, 7 papers in Geometry and Topology and 7 papers in Computational Theory and Mathematics. Recurrent topics in Philip Ehrlich's work include Mathematical and Theoretical Analysis (7 papers), History and Theory of Mathematics (7 papers) and Computability, Logic, AI Algorithms (6 papers). Philip Ehrlich is often cited by papers focused on Mathematical and Theoretical Analysis (7 papers), History and Theory of Mathematics (7 papers) and Computability, Logic, AI Algorithms (6 papers). Philip Ehrlich collaborates with scholars based in United States, Italy and Germany. Philip Ehrlich's co-authors include Lou van den Dries, Moshé Machover, Alessandro Berarducci, Salma Kuhlmann, RICHARD L. KENYON, James Propp, Louis H. Kauffman, Ovidiu Costin and Jeffrey C. Lagarias and has published in prestigious journals such as American Journal of Physics, Advances in Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Philip Ehrlich

18 papers receiving 199 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Philip Ehrlich United States 9 110 96 90 73 55 21 234
John L. Bell Canada 7 61 0.6× 42 0.4× 18 0.2× 41 0.6× 40 0.7× 16 173
José Ferreirós Spain 8 28 0.3× 137 1.4× 28 0.3× 49 0.7× 121 2.2× 27 271
Mauro Di Nasso Italy 8 183 1.7× 43 0.4× 127 1.4× 135 1.8× 26 0.5× 39 244
L. E. J. Brouwer Netherlands 7 27 0.2× 37 0.4× 22 0.2× 61 0.8× 30 0.5× 15 193
Abraham A. Fraenkel 5 30 0.3× 35 0.4× 29 0.3× 61 0.8× 55 1.0× 11 180
David Sherry United States 10 127 1.2× 176 1.8× 12 0.1× 15 0.2× 150 2.7× 36 320
R. E. Vesley United States 5 40 0.4× 52 0.5× 62 0.7× 263 3.6× 18 0.3× 9 364
Georg Cantor Mexico 4 30 0.3× 39 0.4× 22 0.2× 37 0.5× 27 0.5× 8 109
D. van Dalen Netherlands 8 15 0.1× 36 0.4× 32 0.4× 98 1.3× 42 0.8× 25 224
Roman Murawski Poland 7 23 0.2× 19 0.2× 30 0.3× 58 0.8× 17 0.3× 47 128

Countries citing papers authored by Philip Ehrlich

Since Specialization
Citations

This map shows the geographic impact of Philip Ehrlich'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 Philip Ehrlich with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Philip Ehrlich more than expected).

Fields of papers citing papers by Philip Ehrlich

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Philip Ehrlich. 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 Philip Ehrlich. The network helps show where Philip Ehrlich may publish in the future.

Co-authorship network of co-authors of Philip Ehrlich

This figure shows the co-authorship network connecting the top 25 collaborators of Philip Ehrlich. A scholar is included among the top collaborators of Philip Ehrlich based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Philip Ehrlich. Philip Ehrlich is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Costin, Ovidiu & Philip Ehrlich. (2024). Integration on the surreals. Advances in Mathematics. 452. 109823–109823.
2.
Ehrlich, Philip, et al.. (2022). Conway’s Mathematics After Conway. Notices of the American Mathematical Society. 69(7). 1–1.
3.
Dries, Lou van den & Philip Ehrlich. (2018). Homogeneous universal 𝐻-fields. Proceedings of the American Mathematical Society. 147(5). 2231–2234. 1 indexed citations
4.
Ehrlich, Philip, et al.. (2018). NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES: A GENERALIZATION OF CONWAY’S THEORY OF SURREAL NUMBERS II. Journal of Symbolic Logic. 83(2). 617–633. 2 indexed citations
5.
Berarducci, Alessandro, Philip Ehrlich, & Salma Kuhlmann. (2017). Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations. Oberwolfach Reports. 13(4). 3313–3372. 2 indexed citations
6.
Ehrlich, Philip. (2014). An Essay in Honor of Adolf Grünbaum’s Ninetieth Birthday: A Reexamination of Zeno’s Paradox of Extension. Philosophy of Science. 81(4). 654–675. 2 indexed citations
7.
Ehrlich, Philip. (2012). The Absolute Arithmetic Continuum and the Unification Of all Numbers Great and Small. Bulletin of Symbolic Logic. 18(1). 1–45. 29 indexed citations
9.
Ehrlich, Philip. (2005). The Rise of non-Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non-Archimedean Systems of Magnitudes. Archive for History of Exact Sciences. 60(1). 1–121. 59 indexed citations
10.
Ehrlich, Philip. (2001). Number systems with simplicity hierarchies: a generalization of Conway's theory of surreal numbers. Journal of Symbolic Logic. 66(3). 1231–1258. 16 indexed citations
11.
Dries, Lou van den & Philip Ehrlich. (2001). Fields of surreal numbers and exponentiation. Fundamenta Mathematicae. 167(2). 173–188. 20 indexed citations
12.
Ehrlich, Philip. (1997). Dedekind cuts of Archimedean complete ordered abelian groups. Algebra Universalis. 37(2). 223–234. 3 indexed citations
13.
Ehrlich, Philip. (1997). FROM COMPLETENESS TO ARCHIMEDEAN COMPLETENES. Synthese. 110(1). 57–76. 16 indexed citations
14.
Ehrlich, Philip & Moshé Machover. (1996). Real Numbers, Generalizations of the Reals and Theories of Continua (Synthese Library, Vol. 242). 1 indexed citations
15.
Ehrlich, Philip. (1994). Real Numbers, Generalizations of the Reals, and Theories of Continua. CERN Document Server (European Organization for Nuclear Research). 24 indexed citations
16.
Ehrlich, Philip. (1989). Absolutely saturated models. Fundamenta Mathematicae. 133(1). 39–46. 8 indexed citations
17.
Ehrlich, Philip. (1988). An alternative construction of Conway's ordered field No. Algebra Universalis. 25(1). 7–16. 11 indexed citations
18.
Ehrlich, Philip. (1986). The Absolute Arithmetic and Geometric Continua. PSA Proceedings of the Biennial Meeting of the Philosophy of Science Association. 1986(2). 237–246. 2 indexed citations
19.
Ehrlich, Philip. (1982). Negative, infinite, and hotter than infinite temperatures. Synthese. 50(2). 233–277. 25 indexed citations
20.
Ehrlich, Philip. (1981). The concept of temperature and its dependence on the laws of thermodynamics. American Journal of Physics. 49(7). 622–632. 5 indexed citations

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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