A. Lytchak

Applied Mathematics · 2004–2018

A researcher in the Science corpus: 12 papers; trusts 24 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 38 citations into it; #1,574 of 7,620 by trust here, #1,487 by citations
• Geometry and Topology — 38 citations into it; #2,610 of 7,422 by trust here, #2,832 by citations
• Mathematical Physics — 22 citations into it; #2,780 of 8,562 by trust here, #3,022 by citations
• Astronomy and Astrophysics — 10 citations into it; #4,553 of 10,964 by trust here, #9,390 by citations

Whom A. Lytchak trusts overall

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

1. S. Wenger
2. V. Kapovitch
3. Luigi Ambrosio
4. Kai Rajala
5. J. '. Paiva
6. Marcos M. Alexandrino
7. J. Heinonen
8. M. Bonk
9. U. Lang
10. B. Kirchheim

Who trusts A. Lytchak overall

1. Shin-ichi Ohta
2. S. Wenger
3. P. Caprace
4. Karl‐Theodor Sturm
5. Anton Petrunin
6. Dominic Descombes
7. Koichi Nagano
8. I. Berg
9. Cédric Villani
10. G. Thorbergsson

Papers from A. Lytchak's perspective

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

1. Currents in metric spaces
2. Quasisymmetric parametrizations of two-dimensional metric spheres
3. Volumes on Normed and Finsler Spaces
4. Injective hulls of certain discrete metric spaces and groups
5. Flat convergence for integral currents in metric spaces
6. Semiconcave Functions in Alexandrov???s Geometry
7. Structure theory of metric measure spaces with lower Ricci curvature bounds (Journal of the European Mathematical Society (Print))
8. Isoperimetric regions in cones
9. Perelman???s Stability Theorem
10. Regularity of limits of noncollapsing sequences of manifolds

Their papers

• Geodesically complete spaces with an upper curvature bound (2018) — 61 citations
• Intrinsic structure of minimal discs in metric spaces (2016) — 47 citations
• Area Minimizing Discs in Metric Spaces (2015) — 70 citations
• On orbit spaces of representations of compact Lie groups (2011) — 46 citations
• Geometric resolution of singular Riemannian foliations (2009) — 53 citations
• At infinity of finite-dimensional CAT(0) spaces (2008) — 59 citations
• Nonpositive Curvature and the Ptolemy Inequality (2007) — 71 citations
• The De Rham Decomposition Theorem For Metric Spaces (2006) — 59 citations
• Open map theorem for metric spaces (2006) — 81 citations
• Almost Convex Subsets (2005) — 51 citations
• Differentiation in metric spaces (2005) — 62 citations
• Centers of Convex Subsets of Buildings (2004) — 48 citations