Brian Conrad

2.8k citations
44 papers · 1.4k · 1 hit paper · h-index 19

Impact in

    • Algebraic Geometry and Number Theory
    • Algebraic structures and combinatorial models
    • Advanced Algebra and Geometry
    • Homotopy and Cohomology in Algebraic Topology

Papers in

    • Algebraic Geometry and Number Theory 35
    • Algebraic structures and combinatorial models 7
    • Geometric and Algebraic Topology 5
    • Advanced Algebra and Geometry 15
    • Homotopy and Cohomology in Algebraic Topology 8

Brian Conrad

42 papers receiving 1.3k citations

Brian Conrad's Hit Papers

On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises 2001 · 401 citations
4010+8+16Years since publication100200300400

Peers

Brian Conrad
Comparison fields: 5 of 61
  • Geometry and Topology 1.3k
  • Mathematical Physics 998
  • Algebra and Number Theory 490
  • Discrete Mathematics and Combinatorics 146
  • Theoretical Computer Science 20
Replace John Cremona with:
John Cremona United Kingdom
Fred Diamond United Kingdom
Rüdiger Göbel Germany
Ehud Hrushovski Israel
Yuri Tschinkel United States
Kálmán Győry Hungary
Yves André France
Yasutaka Ihara Japan
Marvin Tretkoff United States
Stewart B. Priddy United States
Brian Conrad relative to John Cremona United Kingdom John Cremona's profile →
Citations per field
00.5×2×3×
John Cremona · 1×
Citations per year

Countries citing papers authored by Brian Conrad

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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.

Border = papers with Brian Conrad Line = papers co-authored together Brian Conrad links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 44 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 →
2001401
2 2000134
3 1999100
4 199997
5 201095
6
A MODERN PROOF OF CHEVALLEY’S THEOREM ON ALGEBRAIC GROUPS
200459
7 200652
8 200632
9 200630
10 200429
11 201228
12 200327
13 201127
14 201326
15 200426
16 201226
17
J1(p) Has Connected Fibers
200324
18 200820
19 200820
20 199918

About Brian Conrad

Brian Conrad is a scholar working on Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics and Applied Mathematics, having authored 44 papers that have together received 1.4k indexed citations. Recurring topics across this work include Algebraic Geometry and Number Theory (35 papers), Advanced Algebra and Geometry (15 papers), Homotopy and Cohomology in Algebraic Topology (8 papers), Algebraic structures and combinatorial models (7 papers), Analytic Number Theory Research (5 papers), Geometric and Algebraic Topology (5 papers), Cryptography and Residue Arithmetic (4 papers) and Advanced Topics in Algebra (4 papers). The work is most often cited by research in Geometry and Topology (1.3k citations), Mathematical Physics (998 citations), Algebra and Number Theory (490 citations), Discrete Mathematics and Combinatorics (146 citations) and Theoretical Computer Science (20 citations). Brian Conrad has collaborated with scholars based in United States, Netherlands and France. Frequent co-authors include Fred Diamond, Christophe Breuil, Richard Taylor, Gopal Prasad, Ofer Gabber, William A. Stein, Bas Edixhoven, Michael Mitzenmacher, Frans Jeroen Oort and Ching-Li Chai. Their work appears in journals such as Journal für die reine und angewandte Mathematik (Crelles Journal), Journal of the American Mathematical Society, Documenta Mathematica, Annales de l’institut Fourier and Journal of the Institute of Mathematics of Jussieu.

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.

Explore authors with similar magnitude of impact