Frances Kirwan

6.1k total citations · 2 hit papers
48 papers, 2.6k citations indexed

About

Frances Kirwan is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Frances Kirwan has authored 48 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Geometry and Topology, 33 papers in Mathematical Physics and 8 papers in Algebra and Number Theory. Recurrent topics in Frances Kirwan's work include Algebraic Geometry and Number Theory (34 papers), Advanced Algebra and Geometry (24 papers) and Homotopy and Cohomology in Algebraic Topology (15 papers). Frances Kirwan is often cited by papers focused on Algebraic Geometry and Number Theory (34 papers), Advanced Algebra and Geometry (24 papers) and Homotopy and Cohomology in Algebraic Topology (15 papers). Frances Kirwan collaborates with scholars based in United Kingdom, United States and Slovakia. Frances Kirwan's co-authors include David Mumford, John E. Fogarty, Lisa C. Jeffrey, Brent Doran, Ronnie Lee, Andrew Dancer, Amihay Hanany, Steven H. Weintraub, Young‐Hoon Kiem and Antoine Bourget and has published in prestigious journals such as Journal of High Energy Physics, Annals of Mathematics and Physica D Nonlinear Phenomena.

In The Last Decade

Frances Kirwan

47 papers receiving 2.2k citations

Hit Papers

Geometric Invariant Theory 1984 2026 1998 2012 1994 1984 250 500 750 1000

Peers

Frances Kirwan
Comparison fields: 5 of 66
  • Geometry and Topology 2.2k
  • Mathematical Physics 1.8k
  • Algebra and Number Theory 424
  • Applied Mathematics 302
  • Discrete Mathematics and Combinatorics 290
Replace Chris Peters with:
Chris Peters Netherlands
Arnaud Beauville France
É. B. Vinberg Russia
Wolf Barth Germany
Dusa McDuff United States
Yuri I. Manin Germany
Wilfried Schmid United States
Spencer Bloch United States
Шигефуми Мори Japan
Michèle Vergne France
Chris Peters Netherlands View profile →
Citations per field, relative to Frances Kirwan
Frances Kirwan · 1×
Citations per year, relative to Frances Kirwan
Frances Kirwan · 1×

Countries citing papers authored by Frances Kirwan

Since Specialization
Citations

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

Fields of papers citing papers by Frances Kirwan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frances Kirwan

This figure shows the co-authorship network connecting the top 25 collaborators of Frances Kirwan. A scholar is included among the top collaborators of Frances Kirwan 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 Frances Kirwan. Frances Kirwan 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
# Work Indexed citations
1 1
2 2
3 3
4 9
5 24
6 35
7
Intersection pairings in moduli spaces of vector bundles of arbitrary rank over a Riemann surface
4
8 5
9 152
10 41
11 17
12 2
13 6
14 4
15 2
16 12
17 17
18 4
19 13
20 23

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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