M. Brion

Geometry and Topology · 2001–2015

A researcher in the Science corpus: 19 papers; trusts 21 researchers and is trusted by 58 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 40 citations into it; #324 of 7,422 by trust here, #304 by citations
• Mathematical Physics — 21 citations into it; #343 of 8,562 by trust here, #288 by citations
• Algebra and Number Theory — 19 citations into it; #278 of 2,864 by trust here, #230 by citations
• Computational Theory and Mathematics — 11 citations into it; #2,628 of 12,182 by trust here, #2,689 by citations
• Discrete Mathematics and Combinatorics — 7 citations into it; #78 of 2,017 by trust here, #78 by citations

Whom M. Brion trusts overall

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

1. Peter E. Newstead
2. David A. Cox
3. Brian Conrad
4. Shrawan Kumar
5. Igor Dolgachev
6. Jorma Jormakka
7. Anders Skovsted Buch
8. Jean-Paul Brasselet
9. Valery Alexeev
10. Markus Reineke

Who trusts M. Brion overall

1. Sara C. Billey
2. Julianna Tymoczko
3. N. Perrin
4. Karl Schwede
5. Kevin Tucker
6. Izzet Coskun
7. Anders Skovsted Buch
8. Allen Knutson
9. Georgios Pappas
10. W. Goldring

Papers from M. Brion's perspective

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

1. Pseudo-reductive Groups
2. Lectures on Invariant Theory
3. Introduction to toric varieties
4. A Course on Constructive Desingularization and Equivariance
5. Algebraic Geometry (Wiley Encyclopedia of Computer Science and Engineering)
6. Singular Loci of Schubert Varieties
7. Toric degenerations of Schubert varieties
8. Moduli of representations of quivers
9. Elements of the Representation Theory of Associative Algebras: Techniques of Representation Theory
10. Positivity in the Grothendieck group of complex flag varieties

Their papers

• Frobenius splitting methods in geometry and representation theory (2004) — 501 citations
• Log homogeneous varieties (2006) — 53 citations
• Some structure theorems for algebraic groups (2015) — 109 citations
• Lectures on the Structure of Algebraic Groups and Geometric Applications (2013) — 81 citations
• Introduction to actions of algebraic groups (2010) — 97 citations
• Representations of quivers (2009) — 82 citations
• Anti-affine algebraic groups (2007) — 58 citations
• Some Basic Results on Actions of Nonaffine Algebraic Groups (2007) — 51 citations
• The total coordinate ring of a wonderful variety (2006) — 107 citations
• Lectures on the Geometry of Flag Varieties (2004) — 332 citations
• Toric degenerations of spherical varieties (2004) — 139 citations
• Moduli of affine schemes with reductive group action (2003) — 78 citations
• Stable reductive varieties II: projective case (2002) — 52 citations
• The equivariant cohomology ring of regular varieties (2002) — 59 citations
• Stable reductive varieties I: Affine varieties (2002) — 50 citations
• Multiplicity-free subvarieties of flag varieties (2002) — 71 citations
• Positivity in the Grothendieck group of complex flag varieties (2001) — 127 citations
• On orbit closures of spherical subgroups in flag varieties (2001) — 100 citations
• A geometric approach to Standard Monomial Theory (2001) — 68 citations