Leaderboards/Commutative Algebra and Its Applications

Commutative Algebra and Its Applications

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
D. N. Barotov
Financial University
2
Daniele Agostini
University of Tübingen
3
Mesías Orozco‐Ic
Universidad Nacional Autónoma de México
4
Giulio Caviglia
Purdue University West Lafayette
5
Nursel Erey
Gebze Technical University
6
Spencer Backman
University of Vermont
7
Liena Colarte-Gómez
Universitat de Barcelona
8
Tatsuro Kawakami
The University of Tokyo
9
Motasem Alfarra
King Abdullah University of Science and Technology
10
Giacomo Brunello
Centre National de la Recherche Scientifique

Rising Stars Papers

1
Core-electron contributions to the magnetic response of molecules with heavy elements and their significance in aromaticity assessments
Chemical Science|2024
32 cit.
2
Intersection numbers, polynomial division and relative cohomology
Journal of High Energy Physics|2024
24 cit.
3
An improved framework for computing waveforms
Journal of High Energy Physics|2024
23 cit.
4
Fourier calculus from intersection theory
Physical review. D/Physical review. D.|2024
18 cit.
5
Understanding Aromaticity in [5]Helicene-Bridged Cyclophanes: A Comprehensive Study
The Journal of Organic Chemistry|2024
14 cit.
6
Intersection numbers from companion tensor algebra
Journal of High Energy Physics|2025
10 cit.
7
Endomorphisms of varieties and Bott vanishing
Journal of Algebraic Geometry|2024
6 cit.
8
Evaluating Aromaticity in Ag<sub>6</sub>Ru and Ag<sub>10</sub>Ru as Electron‐Precise Superatom Clusters
ChemPhysChem|2025
6 cit.
9
Construction of smooth convex extensions of Boolean functions
Russian Universities Reports Mathematics|2024
5 cit.
10
Convex Continuation of a Boolean Functionand Its Applications
Journal of Applied and Industrial Mathematics|2024
5 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
S. Selvaraja
Indian Institute of Technology Bhubaneswar
2
Suat Koç
Marmara University
3
Ece Yetki̇n Çeli̇kel
Hasan Kalyoncu University
4
Vivek Mukundan
Indian Institute of Technology Delhi
5
Chuanhui Xiong
University of North Carolina at Pembroke
6
Lorenz Schlechter
Utrecht University
7
Antonio Macchia
Freie Universität Berlin
8
Marco A. Pérez
Fundação Faculdade de Odontologia
9
Jonathan Montaño
Arizona State University
10
Shinya Kumashiro
Osaka Institute of Technology

Emerging Leaders Papers

1
On Weakly 1-Absorbing Primary Ideals of Commutative Rings
Algebra Colloquium|2022
14 cit.
2
Beyond large complex structure: quantized periods and boundary data for one-modulus singularities
Journal of High Energy Physics|2024
12 cit.
3
Flux vacua of the mirror octic
Journal of High Energy Physics|2024
11 cit.
4
Analytic periods via twisted symmetric squares
Journal of High Energy Physics|2022
10 cit.
5
On graded coherent-like properties in trivial ring extensions
Bollettino dell Unione Matematica Italiana|2022
10 cit.
6
Equality of ordinary and symbolic powers of edge ideals of weighted oriented graphs
Communications in Algebra|2022
10 cit.
7
Notes on 1-Absorbing Prime Ideals
Proceedings of the Bulgarian Academy of Sciences|2022
8 cit.
8
On the resurgence and asymptotic resurgence of homogeneous ideals
Mathematische Zeitschrift|2022
8 cit.
9
Quasi J-ideals of commutative rings
Ricerche di Matematica|2022
6 cit.
10
S-n-ideals of commutative rings
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics|2023
6 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Bernd Sturmfels
Berkeley College
2
Takayuki Hibi
The University of Osaka
3
Rafael H. Villarreal
Rutgers, The State University of New Jersey
4
Gunnar Carlsson
nLIGHT (United States)
5
Wolmer V. Vasconcelos
Rutgers, The State University of New Jersey
6
Bernd Ulrich
Purdue University West Lafayette
7
Kei-ichi Watanabe
Nihon University
8
Adam Van Tuyl
McMaster University
9
Volkmar Welker
Philipps University of Marburg
10
David Eisenbud
Brandeis University

Current Senior Leaders Papers

1
Topology and data
Bulletin of the American Mathematical Society|2009
2.3k cit.
2
Computing Persistent Homology
Discrete & Computational Geometry|2004
1.6k cit.
3
Homological algebra on a complete intersection, with an application to group representations
Transactions of the American Mathematical Society|1980
698 cit.
4
Algebraic algorithms for sampling from conditional distributions
The Annals of Statistics|1998
663 cit.
5
Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
American Journal of Mathematics|1977
596 cit.
6
Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition
Eurographics|2007
550 cit.
7
Extracting insights from the shape of complex data using topology
Scientific Reports|2013
544 cit.
8
Linear free resolutions and minimal multiplicity
Journal of Algebra|1984
517 cit.
9
On the Local Behavior of Spaces of Natural Images
International Journal of Computer Vision|2007
497 cit.
10
On graded rings, I
Journal of the Mathematical Society of Japan|1978
387 cit.

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