T. Ziegler

Discrete Mathematics and Combinatorics · 2002–2013

A researcher in the Science corpus: 8 papers; trusts 17 researchers and is trusted by 26 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 64 citations into it; #70 of 2,017 by trust here, #61 by citations
• Mathematical Physics — 46 citations into it; #665 of 8,562 by trust here, #1,020 by citations
• Geometry and Topology — 45 citations into it; #2,741 of 7,422 by trust here, #1,882 by citations
• Algebra and Number Theory — 41 citations into it; #647 of 2,864 by trust here, #362 by citations
• Applied Mathematics — 16 citations into it; #2,529 of 7,620 by trust here, #3,794 by citations
• Computational Theory and Mathematics — 11 citations into it; #8,544 of 12,182 by trust here, #7,501 by citations
• Artificial Intelligence — 8 citations into it
• Statistics and Probability — 6 citations into it; #1,674 of 12,932 by trust here, #3,102 by citations

Whom T. Ziegler trusts overall

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

1. B. Host
2. Ben Joseph Green
3. William T. Gowers
4. Alexander Leibman
5. Terence Tao
6. Bryna Kra
7. Nimish A. Shah
8. Imre Z. Ruzsa
9. Nikos Frantzikinakis
10. D. Goldston

Who trusts T. Ziegler overall

1. Nikos Frantzikinakis
2. Terence Tao
3. Ben Joseph Green
4. B. Host
5. Tim Austin
6. Bryna Kra
7. Vitaly Bergelson
8. William T. Gowers
9. S. Shao
10. M. N. Walsh

Papers from T. Ziegler's perspective

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

1. Universal characteristic factors and Furstenberg averages
2. Polynomial averages converge to the product of integrals
3. An analog of Freiman's theorem in groups (Astérisque)
4. Decompositions, approximate structure, transference, and the Hahn–Banach theorem
5. Convergence of Conze–Lesigne averages (Ergodic Theory and Dynamical Systems)
6. Multiple recurrence and nilsequences
7. Nonconventional ergodic averages and nilmanifolds
8. A non-conventional ergodic theorem for a nilsystem (Ergodic Theory and Dynamical Systems)
9. Combinatorial Group Theory
10. On arithmetic structures in dense sets of integers

Their papers

• Universal characteristic factors and Furstenberg averages (2004) — 264 citations
• The inverse conjecture for the Gowers norm over finite fields via the correspondence principle (2008) — 108 citations
• Disjointness of Moebius from Horocycle Flows (2013) — 103 citations
• The Inverse Conjecture for the Gowers Norm over Finite Fields in Low Characteristic (2011) — 116 citations
• An inverse theorem for the Gowers U^{s+1}[N]-norm (announcement) (2010) — 282 citations
• An Inverse Theorem for the Uniformity Seminorms Associated with the Action of $${{\mathbb {F}^{\infty}_{p}}}$$ (2009) — 61 citations
• The primes contain arbitrarily long polynomial progressions (2006) — 153 citations
• A non-conventional ergodic theorem for a nilsystem (2002) — 69 citations