Jeremy T. Tyson

Applied Mathematics · 2000–2016

A researcher in the Science corpus: 12 papers; trusts 20 researchers and is trusted by 27 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 74 citations into it; #922 of 7,620 by trust here, #498 by citations
• Geometry and Topology — 47 citations into it; #1,291 of 7,422 by trust here, #585 by citations
• Mathematical Physics — 33 citations into it; #2,952 of 8,562 by trust here, #1,776 by citations
• Computational Theory and Mathematics — 16 citations into it; #3,229 of 12,182 by trust here, #2,761 by citations
• Astronomy and Astrophysics — 11 citations into it
• Computational Mechanics — 5 citations into it

Whom Jeremy T. Tyson trusts overall

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

1. T. Laakso
2. Nageswari Shanmugalingam
3. Zoltán M. Balogh
4. Scott D. Pauls
5. Luigi Ambrosio
6. D. Danielli
7. Francesco Serra Cassano
8. Luca Capogna
9. Andrei A. Agrachev
10. Pekka Koskela

Who trusts Jeremy T. Tyson overall

1. S. Keith
2. Jonathan M. Fraser
3. W. Cohn
4. Zoltán M. Balogh
5. Matias Carrasco Piaggio
6. G. Lu
7. P. Hajłasz
8. Nguyen Huong Lam
9. M. Bonk
10. Hiroaki Aikawa

Papers from Jeremy T. Tyson's perspective

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

1. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
2. Rectifiable sets in metric and Banach spaces
3. Minimal surfaces in pseudohermitian geometry
4. Properly embedded and immersed minimal surfaces in the Heisenberg group (Bulletin of the Australian Mathematical Society)
5. Isoperimetric sets on Carnot groups
6. Currents in metric spaces
7. Notions of Convexity in Carnot Groups
8. Intrinsic regular hypersurfaces in Heisenberg groups
9. Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group
10. Regular submanifolds, graphs and area formula in Heisenberg groups

Their papers

• An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem (2007) — 577 citations
• Conformal Dimension: Theory and Application (2010) — 136 citations
• Projection and slicing theorems in Heisenberg groups (2012) — 51 citations
• Intrinsic curvature of curves and surfaces and a Gauss–Bonnet theorem in the Heisenberg group (2016) — 48 citations
• Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients (2015) — 492 citations
• Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups (2009) — 74 citations
• Fundamental solution for the Q-Laplacian and sharp Moser–Trudinger inequality in Carnot groups (2003) — 51 citations
• Singular solutions, homogeneous norms, and quasiconformal mappings in Carnot groups (2002) — 47 citations
• Polar coordinates in Carnot groups (2002) — 81 citations
• Sobolev classes of Banach space-valued functions and quasiconformal mappings (2001) — 213 citations
• Metric and geometric quasiconformality in Ahlfors regular Loewner spaces (2001) — 67 citations
• Sets of minimal Hausdorff dimension for quasiconformal maps (2000) — 57 citations