Leon D. Silva

Department of Mathematics

UFRPE · Recife, Brazil

I am a mathematician and professor in the Department of Mathematics at the Federal Rural University of Pernambuco (UFRPE), where I have held a full-time position with exclusive dedication since 2011.

My research brings together discrete geometry, scientific computing, and quantum algorithms. I work on discrete exterior calculus, applied topology, discrete curvature in complex networks, and symmetry methods for mathematical and computational problems. My recent work includes symmetry reduction of linear systems, structure-preserving computations on meshes, and point-group symmetry in variational quantum algorithms.

I hold a Ph.D. in Computer Science from UFPE, a master’s degree in Mathematics from UFC, and a teaching degree in Mathematics from UFRPE. I also completed a specialization in Quantum Computing at SENAI CIMATEC through the iNOVA Pós program, with practical work on quantum computers and projects directed toward industry and innovation.

I coordinate the proposal for a new Academic Master’s Program in Applied Mathematics at UFRPE and currently serve as deputy coordinator of Regional 03 of the Brazilian Society of Applied and Computational Mathematics (SBMAC). I also collaborate on quantum computing research at the UFPE Informatics Center.

I co-develop PySymmetry, a Sage/Python framework for symmetry reduction, and contribute to Qclib, a quantum computing library focused on quantum state preparation. I am also a co-author of Elementos de Computação Matemática com SageMath, published by the Brazilian Mathematical Society (SBM).

For my academic background and activities, see my CV and Lattes curriculum. Contact: leon.silva@ufrpe.br.

selected publications

Comput. Phys. Commun.

PySymmetry: A Sage/Python framework for the symmetry reduction of linear G-equivariant systems

Leon D. Silva and Marcelo P. Santos

Computer Physics Communications, 2027

Available online in 2026; January 2027 issue

DOI arXiv Bib Code Website

@article{silva2027pysymmetry,
  title = {{PySymmetry}: A {Sage/Python} framework for the symmetry reduction of linear {G}-equivariant systems},
  author = {da Silva, Leon D. and Santos, Marcelo P.},
  journal = {Computer Physics Communications},
  volume = {330},
  pages = {110455},
  year = {2027},
  note = {Available online in 2026; January 2027 issue},
  doi = {10.1016/j.cpc.2026.110455},
}

arXiv

Point-group filtering in unitary coupled-cluster ansätze: exact criticality under the Abelian filter, freeness measured near equilibrium under the full group

Leon D. Silva, Marcelo P. Santos, and Md. Zubair

2026

Preprint, version 3. Supersedes the earlier title: Lie-algebraic incompleteness of symmetry-adapted VQE for non-Abelian molecular point groups

arXiv Bib

@misc{dasilva2026pointgroupfiltering,
  title = {Point-group filtering in unitary coupled-cluster ans{\"a}tze: exact criticality under the {Abelian} filter, freeness measured near equilibrium under the full group},
  author = {da Silva, Leon D. and Santos, Marcelo P. and Zubair, Md.},
  year = {2026},
  note = {Preprint, version 3. Supersedes the earlier title: Lie-algebraic incompleteness of symmetry-adapted VQE for non-Abelian molecular point groups},
}

arXiv

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes

Leon D. Silva, Marcelo P. Santos, José D. Silva, and 1 more author

2026

Preprint

arXiv Bib Code

@misc{dasilva2026parallelisation,
  title = {Parallelisation of {Discrete Exterior Calculus} via {Representation Theory} on Curved and Three-Dimensional Meshes},
  author = {da Silva, Leon D. and Santos, Marcelo P. and da Silva, Jos{\'e} D. and {Ferreira Jr}, Gilson},
  year = {2026},
  note = {Preprint},
}

Regul. Chaotic Dyn.

Decomposition of Symmetrical Classes of Central Configurations

Marcelo P. Santos and Leon D. Silva

Regular and Chaotic Dynamics, 2026

DOI arXiv Bib

@article{santos2026decomposition,
  title = {Decomposition of Symmetrical Classes of Central Configurations},
  author = {Santos, Marcelo P. and da Silva, Leon D.},
  journal = {Regular and Chaotic Dynamics},
  volume = {31},
  number = {4},
  pages = {531--559},
  year = {2026},
  doi = {10.1134/S1560354726520023},
}

Q. Inf. Process.

Double sparse quantum state preparation

Tiago M. L. Veras, Leon D. Silva, and Adenilton J. Silva

Quantum Information Processing, 2022

DOI arXiv Bib

@article{de2022double,
  title = {Double sparse quantum state preparation},
  author = {de Veras, Tiago M. L. and da Silva, Leon D. and da Silva, Adenilton J.},
  journal = {Quantum Information Processing},
  volume = {21},
  number = {6},
  pages = {204},
  year = {2022},
  doi = {10.1007/s11128-022-03549-y},
}