N. Karpenko

Geometry and Topology · with Merkurjev · 2000–2012

A researcher in the Science corpus: 9 papers; trusts 17 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 36 citations into it; #2,572 of 7,422 by trust here, #1,451 by citations
• Mathematical Physics — 27 citations into it; #2,923 of 8,562 by trust here, #1,610 by citations
• Algebra and Number Theory — 10 citations into it; #2,359 of 2,864 by trust here, #2,392 by citations
• Discrete Mathematics and Combinatorics — 10 citations into it
• Theoretical Computer Science — 5 citations into it; #213 of 253 by trust here, #66 by citations

Whom N. Karpenko trusts overall

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

1. P. Brosnan
2. Alexander S. Merkurjev
3. A. Vishik
4. R. Elman
5. Vladimir Voevodsky
6. V. Chernousov
7. M. Florence
8. D. Hoffmann
9. Dmitri Orlov
10. A. Kuku

Who trusts N. Karpenko overall

1. Alexander S. Merkurjev
2. D. Hoffmann
3. R. Elman
4. V. Chernousov
5. B. Totaro
6. Ahmed Laghribi
7. A. Vishik
8. Asher Auel
9. Stefan Schreieder

Papers from N. Karpenko's perspective

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

1. Motives of Quadrics with Applications to the Theory of Quadratic Forms
2. Motivic decomposition of isotropic projective homogeneous varieties
3. Quadratic forms and Pfister neighbors in characteristic 2
4. On the first Witt index of quadratic forms
5. Essential dimension of quadrics
6. An exact sequence for $K_\ast^M/2$ with applications to quadratic forms
7. Steenrod operations in chow theory
8. On motivic cohomology with Z/l -coefficients
9. Canonical p-dimension of algebraic groups
10. The Algebraic and Geometric Theory of Quadratic Forms

Their papers

• Essential dimension of quadrics (2003) — 59 citations
• On standard norm varieties (2012) — 52 citations
• Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties (2009) — 77 citations
• The Algebraic and Geometric Theory of Quadratic Forms (2008) — 613 citations
• Essential dimension of finite p-groups (2008) — 103 citations
• Canonical p-dimension of algebraic groups (2006) — 96 citations
• On the first Witt index of quadratic forms (2003) — 52 citations
• Criteria of motivic equivalence for quadratic forms and central simple algebras (2000) — 49 citations
• Some new examples in the theory of quadratic forms (2000) — 48 citations