Research | Niny Arcila-Maya

My research spans Algebraic Topology, Topological Data Analysis and its application to other disciplines, and, more recently, the Scholarship of Teaching and Learning.

In my doctoral thesis, I established decomposition theorems for topological Azumaya algebras, and for topological Azumaya algebras with involutions of the first kind.

Publications

2023

arXiv

Decomposition of symplectic vector bundles and Azumaya algebras

Niny Arcila-Maya

2023

arXiv Bib

@misc{TAAwS2023,
  title = {Decomposition of symplectic vector bundles and Azumaya algebras},
  author = {Arcila-Maya, Niny},
  year = {2023},
  eprint = {2311.17029},
  archiveprefix = {arXiv},
  primaryclass = {math.AT}
}

2022

arXiv

Decomposition of topological Azumaya algebras with orthogonal involution

Niny Arcila-Maya

2022

Accepted for publication after corrections at the Journal of Pure and Applied Algebra

arXiv Bib

@misc{TAAwO2022,
  title = {Decomposition of topological Azumaya algebras with orthogonal involution},
  author = {Arcila-Maya, Niny},
  year = {2022},
  eprint = {2212.06720},
  archiveprefix = {arXiv},
  primaryclass = {math.AT},
  note = {Accepted for publication after corrections at the Journal of Pure and Applied Algebra}
}

Compactly supported A1-Euler characteristic and the Hochschild complex

Niny Arcila-Maya, Candace Bethea, Morgan Opie, Kirsten Wickelgren, and Inna Zakharevich

Topology and its Applications, 2022

Women in Topology III

arXiv Bib HTML

@article{ABOWZ2022,
  title = {Compactly supported A1-Euler characteristic and the Hochschild complex},
  author = {Arcila-Maya, Niny and Bethea, Candace and Opie, Morgan and Wickelgren, Kirsten and Zakharevich, Inna},
  journal = {Topology and its Applications},
  volume = {316},
  number = {2},
  pages = {108108},
  year = {2022},
  publisher = {Canadian Mathematical Society},
  doi = {https://doi.org/10.1016/j.topol.2022.108108},
  note = {Women in Topology III}
}

CMB

Decomposition of topological Azumaya algebras

Niny Arcila-Maya

Canadian Mathematical Bulletin, 2022

arXiv Bib HTML

@article{TAA2021,
  title = {Decomposition of topological Azumaya algebras},
  author = {Arcila-Maya, Niny},
  journal = {Canadian Mathematical Bulletin},
  volume = {65},
  number = {2},
  pages = {506–524},
  year = {2022},
  publisher = {Canadian Mathematical Society},
  doi = {10.4153/S000843952100045X}
}

2013

NOOS

Numerical solution of a wave-diffusion fractional differential equation

Arcila Maya N., Acosta Medina C., and Trujillo Casanova S.

Revista NOOS, 2013

Bib PDF

@article{AMAMTC2013,
  title = {Numerical solution of a wave-diffusion fractional differential equation},
  author = {N., Arcila Maya and C., Acosta Medina and S., Trujillo Casanova},
  journal = {Revista  NOOS},
  volume = {2},
  pages = {43–48},
  year = {2013},
  publisher = {Universidad Nacional de Colombia, Manizales}
}