Carlos Simpson

5.5k total citations · 2 hit papers
37 papers, 2.2k citations indexed

About

Carlos Simpson is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Carlos Simpson has authored 37 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 25 papers in Mathematical Physics and 5 papers in Computational Theory and Mathematics. Recurrent topics in Carlos Simpson's work include Algebraic Geometry and Number Theory (23 papers), Advanced Algebra and Geometry (19 papers) and Homotopy and Cohomology in Algebraic Topology (14 papers). Carlos Simpson is often cited by papers focused on Algebraic Geometry and Number Theory (23 papers), Advanced Algebra and Geometry (19 papers) and Homotopy and Cohomology in Algebraic Topology (14 papers). Carlos Simpson collaborates with scholars based in France, United States and Austria. Carlos Simpson's co-authors include Vladimir Drinfeld, Kevin Corlette, André Hirschowitz, Abdelkrim Aliouche, Ludmil Katzarkov, Adrián Langer, Philippe Eyssidieux and Tony Pantev and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Carlos Simpson

33 papers receiving 1.9k citations

Hit Papers

Higgs bundles and local systems 1992 2026 2003 2014 1992 1994 100 200 300 400
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. Higgs bundles and local systems
    1992 488 citations Carlos Simpson profile →
  2. Moduli of representations of the fundamental group of a smooth projective variety II
    1994 390 citations Carlos Simpson profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Carlos Simpson France 16 2.1k 1.6k 279 187 170 37 2.2k
Daniel Huybrechts Germany 21 2.3k 1.1× 1.8k 1.1× 248 0.9× 205 1.1× 124 0.7× 44 2.4k
Indranil Biswas India 16 1.3k 0.6× 1.1k 0.7× 226 0.8× 150 0.8× 150 0.9× 395 1.5k
Christian Okonek Germany 15 1.1k 0.6× 720 0.4× 183 0.7× 121 0.6× 78 0.5× 42 1.3k
Henri Gillet United States 20 1.5k 0.7× 1.2k 0.7× 315 1.1× 101 0.5× 65 0.4× 43 1.7k
Eugene Lerman United States 15 773 0.4× 631 0.4× 175 0.6× 196 1.0× 83 0.5× 42 1.0k
C. S. Seshadri India 20 1.8k 0.9× 1.4k 0.9× 257 0.9× 181 1.0× 99 0.6× 31 2.1k
Chris Peters Netherlands 14 2.3k 1.1× 1.2k 0.7× 547 2.0× 164 0.9× 111 0.7× 40 2.4k
Tom Bridgeland United Kingdom 17 1.5k 0.7× 1.0k 0.6× 69 0.2× 354 1.9× 218 1.3× 28 1.6k
S. Ramanan India 17 981 0.5× 805 0.5× 96 0.3× 127 0.7× 67 0.4× 31 1.1k
Yongbin Ruan United States 18 1.4k 0.7× 972 0.6× 115 0.4× 200 1.1× 98 0.6× 54 1.5k

Countries citing papers authored by Carlos Simpson

Since Specialization
Citations

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

Fields of papers citing papers by Carlos Simpson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Carlos Simpson

This figure shows the co-authorship network connecting the top 25 collaborators of Carlos Simpson. A scholar is included among the top collaborators of Carlos Simpson 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 Carlos Simpson. Carlos Simpson 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.
Simpson, Carlos, et al.. (2019). Moduli of sheaves. Advanced studies in pure mathematics. 77–172. 1 indexed citations
2.
Simpson, Carlos. (2016). The dual boundary complex of the S L 2 character variety of a punctured sphere. Annales de la faculté des sciences de Toulouse Mathématiques. 25(2-3). 317–361. 13 indexed citations
3.
Aliouche, Abdelkrim & Carlos Simpson. (2011). Fixed points and lines in 2-metric spaces. Advances in Mathematics. 229(1). 668–690. 20 indexed citations
4.
Eyssidieux, Philippe & Carlos Simpson. (2011). Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures. Journal of the European Mathematical Society. 13(6). 1769–1798. 4 indexed citations
5.
Simpson, Carlos. (2011). Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond. CERN Document Server (European Organization for Nuclear Research). 3 indexed citations
6.
Simpson, Carlos. (2009). Geometricity of the Hodge Filtration on the ∞-stack of perfect complexes over XDR. Moscow Mathematical Journal. 9(3). 665–721. 8 indexed citations
7.
Simpson, Carlos. (2009). Katz's Middle Convolution Algorithm. Pure and Applied Mathematics Quarterly. 5(2). 781–852. 18 indexed citations
8.
Simpson, Carlos. (2007). Algebraic cycles from a computational point of view. Theoretical Computer Science. 392(1-3). 128–140. 1 indexed citations
9.
Simpson, Carlos, et al.. (2006). Verifica automatica del ragionamento matematico. Florence Research (University of Florence). 9(3). 361–389. 1 indexed citations
10.
Simpson, Carlos. (2006). Explaining Gabriel–Zisman Localization to the Computer. Journal of Automated Reasoning. 36(3). 259–285. 3 indexed citations
11.
Katzarkov, Ludmil, Tony Pantev, & Carlos Simpson. (2003). Density of monodromy actions on non-abelian cohomology. Advances in Mathematics. 179(2). 155–204.
12.
Simpson, Carlos. (1996). Flexible sheaves. arXiv (Cornell University).
13.
Simpson, Carlos. (1996). The topological realization of a simplicial presheaf. 2 indexed citations
14.
Hirschowitz, André & Carlos Simpson. (1996). La résolution minimale de l'idéal d'un arrangement général d'un grand nombre de points dans P n. Inventiones mathematicae. 126(3). 467–503. 21 indexed citations
15.
Drinfeld, Vladimir & Carlos Simpson. (1995). $B$-structures on $G$-bundles and local triviality. Mathematical Research Letters. 2(6). 823–829. 55 indexed citations
16.
Simpson, Carlos. (1993). Lefschetz theorems for the integral leaves of a holomorphic one-form. French digital mathematics library (Numdam). 6 indexed citations
17.
Simpson, Carlos. (1992). Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface. CERN Document Server (European Organization for Nuclear Research). 1 indexed citations
18.
Simpson, Carlos. (1990). Harmonic bundles on noncompact curves. Journal of the American Mathematical Society. 3(3). 713–770. 180 indexed citations
19.
Simpson, Carlos. (1990). Harmonic Bundles on Noncompact Curves. Journal of the American Mathematical Society. 3(3). 713–713. 91 indexed citations
20.
Simpson, Carlos. (1988). Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization. Journal of the American Mathematical Society. 1(4). 867–867. 113 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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