Brian Conrad
Impact in
- Geometry and Topology top 0.5%
- Algebraic Geometry and Number Theory
- Algebraic structures and combinatorial models
- Geometric and Algebraic Topology
- Mathematical Physics top 1%
- Advanced Algebra and Geometry
- Homotopy and Cohomology in Algebraic Topology
Papers in
-
- Algebraic Geometry and Number Theory 32
- Algebraic structures and combinatorial models 6
- Geometric and Algebraic Topology 4
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- Advanced Algebra and Geometry 13
- Homotopy and Cohomology in Algebraic Topology 7
- Co-authors
- Fred Diamond (2 shared papers)Richard Taylor (1 shared paper)Christophe Breuil (1 shared paper)Gopal Prasad (5 shared papers)Ofer Gabber (1 shared paper)William Stein (3 shared papers)Bas Edixhoven (3 shared papers)Michael Mitzenmacher (1 shared paper)
- Journals
- Journal für die reine und angewandte Mathematik (Crelles Journal) (4 papers)Journal of the American Mathematical Society (2 papers)Annales de l’institut Fourier (2 papers)Documenta Mathematica (2 papers)Compositio Mathematica (2 papers)
- Partner nations
- United StatesCanadaFrance
In The Last Decade
Brian Conrad
39 papers receiving 1.0k citations
Brian Conrad's Hit Papers
Peers
Comparison fields: 5 of 58
- Geometry and Topology 1.1k
- Mathematical Physics 819
- Algebra and Number Theory 415
- Discrete Mathematics and Combinatorics 123
- Theoretical Computer Science 15
Countries citing papers authored by Brian Conrad
This map shows the geographic impact of Brian Conrad'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 Brian Conrad with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Brian Conrad more than expected).
Fields of papers citing papers by Brian Conrad
This network shows the impact of papers produced by Brian Conrad. 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 Brian Conrad. The network helps show where Brian Conrad may publish in the future.
Co-authors
The 25 scholars most cited alongside Brian Conrad, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 40 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises Hit paper breakdown → | 2001 | 348 |
| 2 | 2000 | 116 | |
| 3 | 1999 | 83 | |
| 4 | 1999 | 80 | |
| 5 | 2010 | 73 | |
| 6 | A MODERN PROOF OF CHEVALLEY’S THEOREM ON ALGEBRAIC GROUPS | 2004 | 49 |
| 7 | 2006 | 39 | |
| 8 | 2004 | 28 | |
| 9 | 2006 | 25 | |
| 10 | 2006 | 25 | |
| 11 | 2003 | 23 | |
| 12 | 2012 | 22 | |
| 13 | 2012 | 22 | |
| 14 | 2013 | 21 | |
| 15 | 2004 | 21 | |
| 16 | 2011 | 20 | |
| 17 | J1(p) Has Connected Fibers | 2003 | 19 |
| 18 | 1999 | 16 | |
| 19 | 2008 | 14 | |
| 20 | 2002 | 14 |
About Brian Conrad
Brian Conrad is a scholar working on Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics and Information Systems, having authored 40 papers that have together received 1.2k indexed citations. Recurring topics across this work include Algebraic Geometry and Number Theory (32 papers), Advanced Algebra and Geometry (13 papers), Homotopy and Cohomology in Algebraic Topology (7 papers), Algebraic structures and combinatorial models (6 papers), Analytic Number Theory Research (5 papers), Cryptography and Residue Arithmetic (4 papers), Geometric and Algebraic Topology (4 papers) and Advanced Mathematical Identities (3 papers). The work is most often cited by research in Geometry and Topology (1.1k citations), Mathematical Physics (819 citations), Algebra and Number Theory (415 citations), Discrete Mathematics and Combinatorics (123 citations) and Theoretical Computer Science (15 citations). Brian Conrad has collaborated with scholars based in United States, Canada and France. Frequent co-authors include Fred Diamond, Richard Taylor, Christophe Breuil, Gopal Prasad, Ofer Gabber, William Stein, Bas Edixhoven, Michael Mitzenmacher, Martin Olsson and Frans J. Oort. Their work appears in journals such as Journal für die reine und angewandte Mathematik (Crelles Journal), Journal of the American Mathematical Society, Annales de l’institut Fourier, Documenta Mathematica and Compositio Mathematica.
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.