Semyon Alesker

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 18 papers; trusts 7 researchers and is trusted by 34 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 27 citations into it; #167 of 7,620 by trust here, #134 by citations
• Geometry and Topology — 17 citations into it; #223 of 7,422 by trust here, #144 by citations
• Computational Theory and Mathematics — 7 citations into it

Whom Semyon Alesker trusts overall

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

1. A. Bernig
2. Monika Ludwig
3. Joseph H. G. Fu
4. L. Bröcker
5. D. Joyce
6. J. Bernstein
7. Franz E. Schuster
8. Erwin Lutwak
9. Nolan Wallach
10. Andrea Colesanti

Who trusts Semyon Alesker overall

1. A. Bernig
2. Franz E. Schuster
3. Monika Ludwig
4. Judit Abardia
5. Joseph H. G. Fu
6. Daniel Hug
7. Thomas Wannerer
8. Christoph Haberl
9. F. R. Harvey
10. Andrea Colesanti

Papers from Semyon Alesker's perspective

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

1. Hermitian integral geometry
2. Valuations on manifolds and Rumin cohomology
3. Geometric Measure Theory
4. Crofton Measures and Minkowski Valuations
5. A fourier-type transform on translation-invariant valuations on convex sets
6. Range characterization of the cosine transform on higher Grassmannians
7. Hard Lefschetz Theorem for Valuations, Complex Integral Geometry, and Unitarily Invariant Valuations
8. Theory of valuations on manifolds, I. Linear spaces
9. A new ellipsoid associated with convex bodies
10. Projection bodies and valuations

Their papers

• Valuations on convex functions and convex sets and Monge–Ampère operators (2017) — 47 citations
• Harmonic Analysis of Translation Invariant Valuations (2010) — 104 citations
• The product on smooth and generalized valuations (2009) — 54 citations
• Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds (2008) — 81 citations
• A fourier-type transform on translation-invariant valuations on convex sets (2007) — 75 citations
• Theory of Valuations on Manifolds: A Survey (2006) — 88 citations
• Theory of valuations on manifolds, I. Linear spaces (2005) — 80 citations
• Theory of valuations on manifolds, II (2005) — 76 citations
• THEORY OF VALUATIONS ON MANIFOLDS, III. MULTIPLICATIVE STRUCTURE IN THE GENERAL CASE (2005) — 83 citations
• Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry (2005) — 72 citations
• Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure (2005) — 49 citations
• The multiplicative structure on continuous polynomial valuations (2004) — 115 citations
• Quaternionic Monge-Ampère equations (2002) — 53 citations
• Hard Lefschetz Theorem for Valuations, Complex Integral Geometry, and Unitarily Invariant Valuations (2002) — 144 citations
• Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture (2001) — 234 citations
• Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables (2001) — 102 citations
• Range characterization of the cosine transform on higher Grassmannians (2001) — 67 citations
• On P. McMullen's Conjecture on Translation Invariant Valuations (2000) — 65 citations