Brian Conrad

Mathematical Physics · 2001–2014

A researcher in the Science corpus: 14 papers; trusts 7 researchers and is trusted by 52 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 21 citations into it; #2,388 of 8,562 by trust here, #1,178 by citations
• Geometry and Topology — 20 citations into it; #355 of 7,422 by trust here, #218 by citations
• Discrete Mathematics and Combinatorics — 5 citations into it

Whom Brian Conrad trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. M. Temkin
2. Martin Olsson
3. Gopal Prasad
4. M. Brion
5. William A. Stein
6. J. Yu
7. Y. Varshavsky
8. Ofer Gabber
9. J. S. Milne
10. Yves Laszlo

Who trusts Brian Conrad overall

1. M. Brion
2. Fabio Nironi
3. Igor Dolgachev
4. Amnon Yekutieli
5. Bjorn Poonen
6. D. Huybrechts
7. M. Temkin
8. S'andor J. Kov'acs
9. Daniel Murfet
10. Karl Schwede

Papers from Brian Conrad's perspective

Ordered by how strongly the researchers Brian Conrad trusts endorse each paper. Same corpus, a different order for every researcher.

1. Lefschetz–Verdier Trace Formula and a Generalization of a Theorem of Fujiwara
2. Pseudo-reductive Groups
3. Visibility of Shafarevich–Tate Groups of Abelian Varieties
4. On local properties of non-Archimedean analytic spaces II
5. On local properties of non-Archimedean analytic spaces
6. Lectures on Chevalley Groups
7. A trace formula for rigid varieties, and motivic Weil generating series for formal schemes
8. Desingularization of quasi-excellent schemes in characteristic zero
9. Lectures on resolution of singularities
10. Several approaches to non-archimedean geometry

Their papers

• Reductive Group Schemes (2014) — 230 citations
• Complex Multiplication and Lifting Problems (2013) — 100 citations
• Weil and Grothendieck approaches to adelic points (2012) — 92 citations
• Finiteness theorems for algebraic groups over function fields (2011) — 64 citations
• Pseudo-reductive Groups (2010) — 314 citations
• Nagata compactification for algebraic spaces (2009) — 65 citations
• Several approaches to non-archimedean geometry (2008) — 68 citations
• Non-archimedean analytification of algebraic spaces (2007) — 50 citations
• ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES (2006) — 118 citations
• Chow's K/k-image and K/k-trace, and the Lang-Neron theorem (2006) — 160 citations
• A MODERN PROOF OF CHEVALLEY’S THEOREM ON ALGEBRAIC GROUPS (2004) — 153 citations
• $J_1(p)$ has connected fibers (2003) — 80 citations
• Grothendieck Duality and Base Change (2001) — 290 citations
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises (2001) — 987 citations