Adam S. Sikora

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 17 papers; trusts 41 researchers and is trusted by 57 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 96 citations into it; #423 of 7,620 by trust here, #498 by citations
• Mathematical Physics — 90 citations into it; #305 of 8,562 by trust here, #325 by citations
• Geometry and Topology — 54 citations into it; #1,342 of 7,422 by trust here, #1,677 by citations
• Computational Theory and Mathematics — 20 citations into it
• Discrete Mathematics and Combinatorics — 14 citations into it; #1,042 of 2,017 by trust here, #812 by citations
• Astronomy and Astrophysics — 9 citations into it

Whom Adam S. Sikora trusts overall

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

1. Thang T. Q. Lê
2. Xuan Thinh Duong
3. Béla Bollobás
4. El-Maati Ouhabaz
5. T. Coulhon
6. Sönke Blunck
7. Stavros Garoufalidis
8. P. Auscher
9. Oliver Riordan
10. J. M. Martell

Who trusts Adam S. Sikora overall

1. Andrés Navas
2. Xuan Thinh Duong
3. T. Coulhon
4. Frank Filbir
5. P. Auscher
6. Junyong Zhang
7. Hrushikesh Narhar Mhaskar
8. Renjin Jiang
9. P. Kunstmann
10. S. Hofmann

Papers from Adam S. Sikora's perspective

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

1. Riesz transform on manifols and Poincaré inequalities
2. Plancherel Type Estimates and Sharp Spectral Multipliers
3. Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains
4. Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
5. On the geometry of metric measure spaces. II
6. Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
7. Analysis on local Dirichlet spaces
8. Nonlinear potential theory on metric spaces
9. Ricci curvature for metric-measure spaces via optimal transport
10. Aspects of Sobolev-type inequalities

Their papers

• Gradient estimates for heat kernels and harmonic functions (2017) — 63 citations
• Skein algebras of surfaces (2016) — 50 citations
• A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces (2013) — 47 citations
• Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means (2012) — 84 citations
• Restriction and spectral multiplier theorems on asymptotically conic manifolds (2010) — 74 citations
• Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers (2010) — 55 citations
• Character Varieties (2009) — 172 citations
• Confluence Theory for Graphs (2006) — 58 citations
• Analysis of degenerate elliptic operators of Grušin type (2006) — 64 citations
• COMPARISON OF THE CLASSICAL BMO WITH THE BMO SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS (2006) — 48 citations
• Gaussian heat kernel upper bounds via the Phragmén–Lindelöf theorem (2006) — 215 citations
• Categorification of the Kauffman bracket skein module of I-bundles over surfaces (2004) — 161 citations
• Riesz transform, Gaussian bounds and the method of wave equation (2003) — 230 citations
• Plancherel Type Estimates and Sharp Spectral Multipliers (2002) — 293 citations
• A spectral multiplier theorem for a sublaplacian on SU(2) (2001) — 99 citations
• Topology on the Spaces Of Orderings of Groups (2001) — 110 citations
• Imaginary powers of Laplace operators (2000) — 75 citations