Avner Ash

2.1k total citations
79 papers, 1.0k citations indexed

About

Avner Ash is a scholar working on Mathematical Physics, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Avner Ash has authored 79 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 64 papers in Mathematical Physics, 60 papers in Geometry and Topology and 30 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Avner Ash's work include Advanced Algebra and Geometry (58 papers), Algebraic Geometry and Number Theory (45 papers) and Finite Group Theory Research (27 papers). Avner Ash is often cited by papers focused on Advanced Algebra and Geometry (58 papers), Algebraic Geometry and Number Theory (45 papers) and Finite Group Theory Research (27 papers). Avner Ash collaborates with scholars based in United States, Netherlands and Germany. Avner Ash's co-authors include Glenn Stevens, Paul E. Gunnells, Lee Rudolph, David Ginzburg, W. Sinnott, Michael Rapoport, David Mumford, A. Hedayat, Daniel R. Grayson and Philip Green and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Avner Ash

70 papers receiving 856 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Avner Ash United States 18 905 878 276 198 75 79 1.0k
Victor Snaith United Kingdom 16 533 0.6× 527 0.6× 86 0.3× 291 1.5× 62 0.8× 99 681
Richard Elman United States 16 786 0.9× 446 0.5× 129 0.5× 333 1.7× 135 1.8× 32 906
Max-Albert Knus Switzerland 7 864 1.0× 621 0.7× 222 0.8× 544 2.7× 85 1.1× 14 1.0k
C. Robert Miers Canada 14 587 0.6× 264 0.3× 132 0.5× 649 3.3× 112 1.5× 30 749
Thomas Zink Germany 12 621 0.7× 529 0.6× 102 0.4× 148 0.7× 63 0.8× 33 670
Moshe Jarden Israel 15 777 0.9× 334 0.4× 195 0.7× 283 1.4× 258 3.4× 104 895
Seán Keel United States 13 1.1k 1.2× 579 0.7× 187 0.7× 303 1.5× 209 2.8× 26 1.2k
Tadao Oda Japan 10 780 0.9× 375 0.4× 162 0.6× 258 1.3× 200 2.7× 27 849
Ching-Li Chai United States 12 611 0.7× 513 0.6× 69 0.3× 147 0.7× 86 1.1× 29 659
A. Leibman United States 14 413 0.5× 355 0.4× 561 2.0× 236 1.2× 110 1.5× 34 684

Countries citing papers authored by Avner Ash

Since Specialization
Citations

This map shows the geographic impact of Avner Ash's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Avner Ash with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Avner Ash more than expected).

Fields of papers citing papers by Avner Ash

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Avner Ash. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Avner Ash. The network helps show where Avner Ash may publish in the future.

Co-authorship network of co-authors of Avner Ash

This figure shows the co-authorship network connecting the top 25 collaborators of Avner Ash. A scholar is included among the top collaborators of Avner Ash based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Avner Ash. Avner Ash is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Ash, Avner. (2024). On the cohomology ofSLn(Z). Advances in Mathematics. 454. 109868–109868.
2.
Ash, Avner, et al.. (2019). Sums of Galois representations and arithmetic homology. Transactions of the American Mathematical Society. 373(1). 273–293.
3.
Ash, Avner, et al.. (2018). ON THE GROWTH OF TORSION IN THE COHOMOLOGY OF ARITHMETIC GROUPS. Journal of the Institute of Mathematics of Jussieu. 19(2). 537–569. 1 indexed citations
4.
Ash, Avner. (2018). Comparison of Steinberg modules for a field and a subfield. Journal of Algebra. 507. 200–224. 3 indexed citations
5.
Ash, Avner, et al.. (2014). Mod 2 homology for GL(4) and Galois representations. Journal of Number Theory. 146. 4–22. 2 indexed citations
6.
Ash, Avner, et al.. (2011). Frequencies of Successive Pairs of Prime Residues. Experimental Mathematics. 20(4). 400–411. 4 indexed citations
7.
Ash, Avner, et al.. (2008). Cohomology of congruence subgroups of SL(4,Z) II. Journal of Number Theory. 128(8). 2263–2274. 8 indexed citations
8.
Ash, Avner. (2005). Non-vanishing of alternants. Linear Algebra and its Applications. 411. 348–355.
9.
Ash, Avner. (2003). Smith theory and Hecke operators. Journal of Algebra. 259(1). 43–58. 1 indexed citations
10.
Ash, Avner, et al.. (2002). Cohomology of Congruence Subgroups of SL4(Z). Journal of Number Theory. 94(1). 181–212. 25 indexed citations
11.
Ash, Avner. (1999). PARITY OF MOD p BETTI NUMBERS. Boletín de la Sociedad Matemática Mexicana. 5(1). 79–85. 1 indexed citations
12.
Ash, Avner & Glenn Stevens. (1997). p-adic deformations of cohomology classes of subgroups of GL (n, Z). Collectanea mathematica. 48(1). 1–30. 10 indexed citations
13.
Ash, Avner. (1994). Unstable Cohomology of SL(n,O). Journal of Algebra. 167(2). 330–342. 18 indexed citations
14.
Ash, Avner, et al.. (1992). Doubly cuspidal cohomology for principal congruence subgroups of 𝐺𝐿(3,𝑍). Mathematics of Computation. 59(200). 673–688. 7 indexed citations
15.
Ash, Avner, et al.. (1992). Mod p cohomology of SL(n, ). Topology. 31(2). 349–365. 3 indexed citations
16.
Ash, Avner, et al.. (1991). An A4 extension of Q attached to a non-selfdual automorphic form on GL(3).. Mathematische Annalen. 291(4). 753–766. 9 indexed citations
17.
Ash, Avner, Daniel R. Grayson, & Philip Green. (1984). Computations of cuspidal cohomology of congruence subgroups of SL(3, Z). Journal of Number Theory. 19(3). 412–436. 28 indexed citations
18.
Ash, Avner. (1984). Small-dimensional classifying spaces for arithmetic subgroups of general linear groups. Duke Mathematical Journal. 51(2). 31 indexed citations
19.
Ash, Avner & A. Hedayat. (1978). An introduction to designh optimality with an overview of the literature. Communication in Statistics- Theory and Methods. 7(14). 1295–1325. 17 indexed citations
20.
Ash, Avner. (1975). Smooth Compactification of Locally Symmetric Varieties. 173 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Victor Snaith Breakdown of academic impact, for papers by Richard Elman Breakdown of academic impact, for papers by Max-Albert Knus Breakdown of academic impact, for papers by C. Robert Miers Breakdown of academic impact, for papers by Thomas Zink Breakdown of academic impact, for papers by Moshe Jarden Breakdown of academic impact, for papers by Seán Keel Breakdown of academic impact, for papers by Tadao Oda Breakdown of academic impact, for papers by Ching-Li Chai Breakdown of academic impact, for papers by A. Leibman
Rankless by CCL
2026