Jordan S. Ellenberg

Geometry and Topology · 2003–2023

A researcher in the Science corpus: 19 papers; trusts 32 researchers and is trusted by 32 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 97 citations into it; #656 of 7,422 by trust here, #515 by citations
• Mathematical Physics — 64 citations into it; #992 of 8,562 by trust here, #851 by citations
• Artificial Intelligence — 43 citations into it; #26,204 of 35,345 by trust here, #21,316 by citations
• Discrete Mathematics and Combinatorics — 43 citations into it; #1,256 of 2,017 by trust here, #898 by citations
• Algebra and Number Theory — 41 citations into it; #809 of 2,864 by trust here, #523 by citations
• Computational Theory and Mathematics — 37 citations into it; #2,940 of 12,182 by trust here, #3,218 by citations
• Information Systems — 16 citations into it
• Computer Vision and Pattern Recognition — 6 citations into it

Whom Jordan S. Ellenberg trusts overall

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

1. Manjul Bhargava
2. Thomas Church
3. Akshay Venkatesh
4. Shlomo Hoory
5. Robert M. Guralnick
6. Andrew Putman
7. Benson Farb
8. László Pyber
9. L. Pierce
10. Harald Andrés Helfgott

Who trusts Jordan S. Ellenberg overall

1. Michael A. Bennett
2. Kiran S. Kedlaya
3. Andrew Putman
4. Jenny Wilson
5. Thomas Church
6. Alexander Lubotzky
7. P. Habegger
8. Benson Farb
9. Melanie Matchett Wood
10. L. Pierce

Papers from Jordan S. Ellenberg's perspective

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

1. Expander Graphs and their Applications
2. Approximate Subgroups of Linear Groups
3. The number of extensions of a number field with fixed degree and bounded discriminant
4. Growth in finite simple groups of Lie type of bounded rank
5. Reflection Principles and Bounds for Class Group Torsion
6. FI-modules: a new approach to stability for S_n-representations
7. Representation theory and homological stability
8. Expansion in perfect groups
9. Stability in the homology of congruence subgroups
10. Stable group theory and approximate subgroups

Their papers

• Mathematical discoveries from program search with large language models (2023) — 1,101 citations
• Expander graphs, gonality, and variation of Galois representations (2010) — 50 citations
• Homology of FI-modules (2015) — 95 citations
• GALOIS REPRESENTATIONS ATTACHED TO Q-CURVES AND THE GENERALIZED FERMAT EQUATION A 4 +B 2 =C p (2003) — 95 citations
• Counting extensions of function fields with bounded discriminant and specified Galois group (2005) — 57 citations
• Heights on stacks and a generalized Batyrev–Manin–Malle conjecture (2021) — 49 citations
• Approximate Gradient Coding via Sparse Random Graphs (2017) — 89 citations
• On large subsets of F nq with no three-termarithmetic progression (2017) — 256 citations
• On ℓ-torsion in class groups of number fields (2016) — 55 citations
• Representation stability in cohomology and asymptotics for families of varieties over finite fields (2013) — 81 citations
• FI-modules and stability for representations of symmetric groups (2012) — 444 citations
• FI-modules over Noetherian rings (2012) — 189 citations
• FI-modules: a new approach to stability for S_n-representations (2012) — 50 citations
• THE DIOPHANTINE EQUATION A4 + 2δB2 = Cn (2010) — 48 citations
• Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields (2009) — 169 citations
• The Kakeya set and maximal conjectures for algebraic varieties over finite fields (2009) — 70 citations
• Reflection Principles and Bounds for Class Group Torsion (2007) — 103 citations
• Local-global principles for representations of quadratic forms (2006) — 55 citations
• The number of extensions of a number field with fixed degree and bounded discriminant (2003) — 114 citations