Leaderboards/Polynomial and algebraic computation

Polynomial and algebraic computation

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
J. Klappert
RWTH Aachen University
2
Chinnaraji Annamalai
Indian Institute of Technology Kharagpur
3
D. N. Barotov
Financial University
4
Lorenzo Baldi
Institut national de recherche en sciences et technologies du numérique
5
YoungBeom Kim
Pyeongtaek University
6
Christoph Dlapa
Deutsches Elektronen-Synchrotron DESY
7
Ngoc Hoang Anh
Centre National de la Recherche Scientifique
8
Daniele Agostini
University of Tübingen
9
Kyoung-Bum Huh
Shanghai Jiao Tong University
10
Yannis Voet
École Polytechnique Fédérale de Lausanne

Rising Stars Papers

1
Local in Time Conservative Binary Dynamics at Fourth Post-Minkowskian Order
Physical Review Letters|2024
51 cit.
2
Spread complexity in saddle-dominated scrambling
Journal of High Energy Physics|2024
41 cit.
3
Degree Bounds for Putinar’s Positivstellensatz on the Hypercube
SIAM Journal on Applied Algebra and Geometry|2024
15 cit.
4
Vectorized Implementation of Kyber and Dilithium on 32-bit Cortex-A Series
IEEE Access|2024
11 cit.
5
On Łojasiewicz inequalities and the effective Putinar's Positivstellensatz
Journal of Algebra|2024
9 cit.
6
A theoretical analysis of mass scaling techniques
Computational Mechanics|2025
6 cit.
7
Construction of smooth convex extensions of Boolean functions
Russian Universities Reports Mathematics|2024
5 cit.
8
Convex Continuation of a Boolean Functionand Its Applications
Journal of Applied and Industrial Mathematics|2024
5 cit.
9
On Inequalities Between Convex, Concave, and Multilinear Continuations of Boolean Functions
Keldysh Institute Preprints|2024
5 cit.
10
On the Existence and Properties of Convex Extensions of Boolean Functions
Mathematical Notes|2024
5 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Johann Usovitsch
Humboldt-Universität zu Berlin
2
Khaled Ramadan
Ahlia University
3
Sebastian Mizera
Columbia University
4
Mahmoud Behroozifar
Babol Noshirvani University of Technology
5
Théo Mary
Université Toulouse III - Paul Sabatier
6
Manoj K. Mandal
University of Padua
7
Simon Telen
Max Planck Institute for Mathematics in the Sciences
8
Albrecht Petzoldt
Friedrich-Alexander-Universität Erlangen-Nürnberg
9
Thomas Takacs
Johannes Kepler University of Linz
10
Robert J. Saskowski
Tianjin University

Emerging Leaders Papers

1
Mixed precision algorithms in numerical linear algebra
Acta Numerica|2022
123 cit.
2
Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order
Physical Review Letters|2024
89 cit.
3
What can be measured asymptotically?
Journal of High Energy Physics|2024
68 cit.
4
Emergence of Calabi–Yau manifolds in high-precision black-hole scattering
Nature|2025
61 cit.
5
On unitarity of tree-level string amplitudes
Journal of High Energy Physics|2022
46 cit.
6
Communication-Efficient Federated Learning for LEO Constellations Integrated With HAPs Using Hybrid NOMA-OFDM
IEEE Journal on Selected Areas in Communications|2024
40 cit.
7
Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals
Physical Review Letters|2024
40 cit.
8
Gravitational spin-orbit Hamiltonian at NNNLO in the post-Newtonian framework
Journal of High Energy Physics|2023
39 cit.
9
Physics of the analytic S-matrix
Physics Reports|2023
35 cit.
10
Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework
Journal of High Energy Physics|2023
33 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Bernd Sturmfels
Berkeley College
2
Takayuki Hibi
The University of Osaka
3
Thomas J.R. Hughes
The University of Texas at Austin
4
Alessandro Reali
University of Pavia
5
Giancarlo Sangalli
University of Pavia
6
Nikolaos V. Sahinidis
Georgia Institute of Technology
7
Éric Schost
University of Waterloo
8
Pablo A. Parrilo
Massachusetts Institute of Technology
9
Thomas W. Sederberg
Brigham Young University
10
Timon Rabczuk
Bauhaus-Universität Weimar

Current Senior Leaders Papers

1
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
Computer Methods in Applied Mechanics and Engineering|2005
6.2k cit.
2
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
Computer Methods in Applied Mechanics and Engineering|1982
5.3k cit.
3
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
SIAM Review|2010
3.6k cit.
4
Free-form deformation of solid geometric models
ACM SIGGRAPH Computer Graphics|1986
2.6k cit.
5
Constrained Consensus and Optimization in Multi-Agent Networks
IEEE Transactions on Automatic Control|2010
2.1k cit.
6
An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications
Computer Methods in Applied Mechanics and Engineering|2020
1.9k cit.
7
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
Computer Methods in Applied Mechanics and Engineering|1995
1.8k cit.
8
Cracking particles: a simplified meshfree method for arbitrary evolving cracks
International Journal for Numerical Methods in Engineering|2004
1.7k cit.
9
The variational multiscale method—a paradigm for computational mechanics
Computer Methods in Applied Mechanics and Engineering|1998
1.6k cit.
10
Semidefinite programming relaxations for semialgebraic problems
Mathematical Programming|2003
1.6k cit.

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