Ian M. Aberbach
- Algebra and Number Theory top 5%
- Geometry and Topology top 2%
- Computational Theory and Mathematics top 5%
- Mathematical Physics
- Discrete Mathematics and Combinatorics
- Co-authors
- Craig HunekeFlorian EnescuGraham LeuschkeNgô Viêt TrungSam HuckabaKaren E. SmithMelvin HochsterHuy Tài Hà
- Topics
- Commutative Algebra and Its Applications (29 papers)Algebraic structures and combinatorial models (22 papers)Algebraic Geometry and Number Theory (21 papers)
- Journals
- Transactions of the American Mathematical SocietyAdvances in MathematicsPacific Journal of Mathematics
- Partner nations
- United StatesRomaniaCzechia
In The Last Decade
Ian M. Aberbach
31 papers receiving 342 citations
Peers
Comparison fields: 5 of 16
- Algebra and Number Theory 339
- Geometry and Topology 317
- Computational Theory and Mathematics 115
- Mathematical Physics 30
- Discrete Mathematics and Combinatorics 13
Countries citing papers authored by Ian M. Aberbach
This map shows the geographic impact of Ian M. Aberbach'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 Ian M. Aberbach with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ian M. Aberbach more than expected).
Fields of papers citing papers by Ian M. Aberbach
This network shows the impact of papers produced by Ian M. Aberbach. 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 Ian M. Aberbach. The network helps show where Ian M. Aberbach may publish in the future.
Co-authorship network of co-authors of Ian M. Aberbach
This figure shows the co-authorship network connecting the top 25 collaborators of Ian M. Aberbach. A scholar is included among the top collaborators of Ian M. Aberbach 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 Ian M. Aberbach. Ian M. Aberbach is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 0 | |
| 2 | 0 | |
| 3 | 1 | |
| 4 | 4 | |
| 5 | 12 | |
| 6 | 6 | |
| 7 | 3 | |
| 8 | 40 | |
| 9 | 11 | |
| 10 | 9 | |
| 11 | 27 | |
| 12 | 6 | |
| 13 | 18 | |
| 14 | 8 | |
| 15 | 8 | |
| 16 | 11 | |
| 17 | Reduction numbers, Briançon-Skoda theorems and the depth of Rees rings | 30 |
| 18 | 9 | |
| 19 | 8 | |
| 20 | 15 |
About Ian M. Aberbach
Ian M. Aberbach is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics, having authored 35 papers that have together received 380 indexed citations. Recurring topics across this work include Commutative Algebra and Its Applications (29 papers), Algebraic structures and combinatorial models (22 papers) and Algebraic Geometry and Number Theory (21 papers). The work is most often cited by research in Algebra and Number Theory (339 citations), Geometry and Topology (317 citations) and Computational Theory and Mathematics (115 citations). Ian M. Aberbach has collaborated with scholars based in United States, Romania and Czechia. Frequent co-authors include Craig Huneke, Florian Enescu, Graham Leuschke, Ngô Viêt Trung, Sam Huckaba, Karen E. Smith, Melvin Hochster, Huy Tài Hà and Mordechai Katzman. Their work appears in journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Pacific Journal of Mathematics.
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.