Pierre D. Milman

2.2k total citations · 1 hit paper
54 papers, 1.1k citations indexed

About

Pierre D. Milman is a scholar working on Geometry and Topology, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Pierre D. Milman has authored 54 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Geometry and Topology, 26 papers in Applied Mathematics and 20 papers in Computational Theory and Mathematics. Recurrent topics in Pierre D. Milman's work include Algebraic Geometry and Number Theory (19 papers), Polynomial and algebraic computation (14 papers) and Holomorphic and Operator Theory (8 papers). Pierre D. Milman is often cited by papers focused on Algebraic Geometry and Number Theory (19 papers), Polynomial and algebraic computation (14 papers) and Holomorphic and Operator Theory (8 papers). Pierre D. Milman collaborates with scholars based in Canada, United States and Poland. Pierre D. Milman's co-authors include Edward Bierstone, Len Bos, Yu. A. Semënov, Charles A. Micchelli, N. Levenberg, B. A. Taylor, Adam Parusiński, Dima Grigoriev, Joseph M. Lambert and Jarosław Włodarczyk and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Pierre D. Milman

51 papers receiving 948 citations

Hit Papers

Semianalytic and subanalytic sets 1988 2026 2000 2013 1988 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Semianalytic and subanalytic sets
    1988 386 citations Edward Bierstone, Pierre D. Milman profile →

Peers

Pierre D. Milman
Edward Bierstone Canada
Stanisław Łojasiewicz Poland
Jacek Bochnak Netherlands
Thomas Ransford Canada
Jeffrey D. Vaaler United States
Lee A. Rubel United States
Harald Upmeier Germany
Józef Dodziuk United States
Andreas Kriegl Austria
Victor Vinnikov Israel
Edward Bierstone Canada
Pierre D. Milman
Citations per year, relative to Pierre D. Milman Pierre D. Milman (= 1×) peers Edward Bierstone

Countries citing papers authored by Pierre D. Milman

Since Specialization
Citations

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

Fields of papers citing papers by Pierre D. Milman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Pierre D. Milman. 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 Pierre D. Milman. The network helps show where Pierre D. Milman may publish in the future.

Co-authorship network of co-authors of Pierre D. Milman

This figure shows the co-authorship network connecting the top 25 collaborators of Pierre D. Milman. A scholar is included among the top collaborators of Pierre D. Milman 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 Pierre D. Milman. Pierre D. Milman 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.
Bierstone, Edward, et al.. (2015). Arc-quasianalytic functions. Proceedings of the American Mathematical Society. 143(9). 3915–3925. 3 indexed citations
2.
Bierstone, Edward, et al.. (2014). Desingularization by blowings-up avoiding simple normal crossings. Proceedings of the American Mathematical Society. 142(12). 4099–4111. 1 indexed citations
3.
Bierstone, Edward & Pierre D. Milman. (2012). Resolution except for minimal singularities I. Advances in Mathematics. 231(5). 3022–3053. 9 indexed citations
4.
Grigoriev, Dima & Pierre D. Milman. (2012). Nash resolution for binomial varieties as Euclidean division. A priori termination bound, polynomial complexity in essential dimension 2. Advances in Mathematics. 231(6). 3389–3428. 9 indexed citations
5.
Bierstone, Edward, et al.. (2009). GEOMETRIC AUSLANDER CRITERION FOR FLATNESS OF AN ANALYTIC MAPPING. arXiv (Cornell University). 1 indexed citations
6.
Milman, Pierre D., et al.. (2006). Classical Poincaré metric pulled back off singularities using a Chow-type theorem and desingularization. Annales de la faculté des sciences de Toulouse Mathématiques. 15(4). 689–771. 3 indexed citations
7.
Milman, Pierre D. & Yu. A. Semënov. (2004). Global heat kernel bounds via desingularizing weights. Journal of Functional Analysis. 212(2). 373–398. 42 indexed citations
8.
Milman, Pierre D.. (2004). Global heat kernel bounds via desingularizing weights*1. Journal of Functional Analysis. 2 indexed citations
9.
Milman, Pierre D. & Yu. A. Semënov. (2003). Heat kernel bounds and desingularizing weights. Journal of Functional Analysis. 202(1). 1–24. 16 indexed citations
10.
Milman, Pierre D., et al.. (2002). On Zariski’s multiplicity problem. Proceedings of the American Mathematical Society. 130(7). 2045–2048.
11.
Bos, Len, N. Levenberg, Pierre D. Milman, & B. A. Taylor. (1998). Tangential Markov inequalities on real algebraic varieties. Indiana University Mathematics Journal. 47(4). 0–0. 17 indexed citations
12.
Bierstone, Edward & Pierre D. Milman. (1998). Geometric and Differential Properties of Subanalytic Sets. Annals of Mathematics. 147(3). 731–731. 25 indexed citations
13.
Bierstone, Edward & Pierre D. Milman. (1989). Uniformization of analytic spaces. Journal of the American Mathematical Society. 2(4). 801–836. 30 indexed citations
14.
Bierstone, Edward & Pierre D. Milman. (1987). Relations among analytic functions. II. Annales de l’institut Fourier. 37(2). 49–77. 4 indexed citations
15.
Bierstone, Edward & Pierre D. Milman. (1987). Local analytic invariants and splitting theorems in differential analysis. Israel Journal of Mathematics. 60(3). 257–280. 6 indexed citations
16.
Bierstone, Edward & Pierre D. Milman. (1982). Composite Differentiable Functions. Annals of Mathematics. 116(3). 541–541. 26 indexed citations
17.
Micchelli, Charles A. & Pierre D. Milman. (1980). A formula for Kergin interpolation in R. Journal of Approximation Theory. 29(4). 294–296. 32 indexed citations
18.
Lambert, Joseph M. & Pierre D. Milman. (1979). Restricted Chebyshev centers of bounded subsets in arbitrary Banach spaces. Journal of Approximation Theory. 26(1). 71–78. 7 indexed citations
19.
Milman, Pierre D.. (1977). The Malgrange-Mather division theorem. Topology. 16(4). 395–401. 12 indexed citations
20.
Milman, Pierre D.. (1977). On best simultaneous approximation in normed linear spaces. Journal of Approximation Theory. 20(2). 223–238. 33 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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