Nicholas Buchdahl

607 total citations
27 papers, 320 citations indexed

About

Nicholas Buchdahl is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Nicholas Buchdahl has authored 27 papers receiving a total of 320 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 14 papers in Applied Mathematics and 12 papers in Mathematical Physics. Recurrent topics in Nicholas Buchdahl's work include Algebraic Geometry and Number Theory (18 papers), Geometry and complex manifolds (16 papers) and Geometric Analysis and Curvature Flows (12 papers). Nicholas Buchdahl is often cited by papers focused on Algebraic Geometry and Number Theory (18 papers), Geometry and complex manifolds (16 papers) and Geometric Analysis and Curvature Flows (12 papers). Nicholas Buchdahl collaborates with scholars based in Australia, Germany and United States. Nicholas Buchdahl's co-authors include Reinhard Schultz, Sławomir Kwasik, Georg Schumacher, H. A. Buchdahl, Peter J. Stiles, Matei Toma and Andrei Teleman and has published in prestigious journals such as SHILAP Revista de lepidopterología, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Nicholas Buchdahl

24 papers receiving 267 citations

Peers

Nicholas Buchdahl

GT

MP

AM

NHEP

SNP

Richard Wentworth United States

Boris Botvinnik United States

Marie-Louise Michelsohn United States

Andreas Juhl Germany

D. Burns United States

Thierry Barbot France

Abdelghani Zeghib France

Marcos Jardim Brazil

Giuseppe Tomassini Italy

Mikio Furuta Japan

Richard Wentworth United States

Nicholas Buchdahl

313 ×1.1

GT

230 ×1.6

MP

83 ×0.6

AM

40 ×1.1

NHEP

30 ×1.2

SNP

Citations per year, relative to Nicholas Buchdahl Nicholas Buchdahl (= 1×) peers Richard Wentworth

Countries citing papers authored by Nicholas Buchdahl

Since Specialization

Citations

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

Fields of papers citing papers by Nicholas Buchdahl

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Nicholas Buchdahl

This figure shows the co-authorship network connecting the top 25 collaborators of Nicholas Buchdahl. A scholar is included among the top collaborators of Nicholas Buchdahl 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 Nicholas Buchdahl. Nicholas Buchdahl is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Buchdahl, Nicholas & Georg Schumacher. (2023). Weil–Petersson forms for families of polystable bundles over compact Kähler manifolds. International Journal of Mathematics. 34(13).

2.

Buchdahl, Nicholas & Georg Schumacher. (2022). Polystable bundles and representations of their automorphisms. SHILAP Revista de lepidopterología. 9(1). 78–113. 2 indexed citations

3.

Buchdahl, Nicholas & Georg Schumacher. (2020). $L^2$-cohomology for affine spaces and an application to monads. Rocky Mountain Journal of Mathematics. 50(5).

4.

Buchdahl, Nicholas, Andrei Teleman, & Matei Toma. (2018). On the Donaldson–Uhlenbeck compactification of instanton moduli spaces on class VII surfaces. The Quarterly Journal of Mathematics.

5.

Buchdahl, Nicholas, Andrei Teleman, & Matei Toma. (2017). A continuity theorem for families of sheaves on complex surfaces. Journal of Topology. 10(4). 995–1028. 3 indexed citations

6.

Buchdahl, Nicholas. (2007). Algebraic deformations of compact Kähler surfaces II. Mathematische Zeitschrift. 258(3). 493–498. 10 indexed citations

7.

Buchdahl, Nicholas. (2004). Monads and Bundles on Rational Surfaces. Rocky Mountain Journal of Mathematics. 34(2). 9 indexed citations

8.

Buchdahl, Nicholas. (2003). Compact Kähler Surfaces with Trivial Canonical Bundle. Annals of Global Analysis and Geometry. 23(2). 189–204. 1 indexed citations

9.

Buchdahl, Nicholas. (2000). A Nakai-Moishezon criterion for non-Kähler surfaces. Annales de l’institut Fourier. 50(5). 1533–1538. 11 indexed citations

10.

Buchdahl, Nicholas. (1999). On compact Kähler surfaces. Annales de l’institut Fourier. 49(1). 287–302. 57 indexed citations

11.

Buchdahl, Nicholas. (1999). Sequences of stable bundles over compact complex surfaces. Journal of Geometric Analysis. 9(3). 391–428. 8 indexed citations

12.

Buchdahl, Nicholas, et al.. (1999). Holomorphic Connections and Extension of Complex Vector Bundles. Mathematische Nachrichten. 204(1). 29–39. 5 indexed citations

13.

Buchdahl, Nicholas. (1993). Instantons on $n\mathbb{CP}_2$. Journal of Differential Geometry. 37(3). 8 indexed citations

14.

Buchdahl, Nicholas, Sławomir Kwasik, & Reinhard Schultz. (1990). One fixed point actions on low-dimensional spheres. Inventiones mathematicae. 102(1). 633–662. 25 indexed citations

15.

Buchdahl, Nicholas. (1988). Hermitian-Einstein connections and stable vector bundles over compact complex surfaces. Mathematische Annalen. 280(4). 625–648. 64 indexed citations

16.

Buchdahl, Nicholas. (1987). Stable 2-bundles on Hirzebruch surfaces. Mathematische Zeitschrift. 194(1). 143–152. 20 indexed citations

17.

Buchdahl, Nicholas. (1986). Instantons on $\mathbf{CP}_2$. Journal of Differential Geometry. 24(1). 29 indexed citations

18.

Buchdahl, Nicholas. (1985). Analysis on Analytic Spaces and Non-Self-Dual Yang-Mills Fields. Transactions of the American Mathematical Society. 288(2). 431–431. 7 indexed citations

19.

Buchdahl, Nicholas. (1983). On the relative de Rham sequence. Proceedings of the American Mathematical Society. 87(2). 363–366. 18 indexed citations

20.

Buchdahl, Nicholas. (1983). On the Relative De Rham Sequence. Proceedings of the American Mathematical Society. 87(2). 363–363. 8 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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