I am a postdoc at the University of Liverpool. Previously I was a postdoctoral fellow at CIMAT (Guanajuato) and I completed a PhD in Pure Mathematics at the University of Warwick.

My research interests lie in algebraic topology, geometry and their applications. Currently my main research focus is in topological data analysis and computational algebra.

Publications

  1. Garcia Pulido A. L; Bate, D. The space of Persistence Barcodes on Q points bi-Lipschitz embeds into Hilbert space. Submitted. arXiv:2212.01280

  2. Garcia Pulido A. L; Salgado, G. On the existence of sympathetic Lie algebras with dimension less than 25. Submitted. arXiv:2212.01273

  3. Garcia Pulido A. L., Samardzhiev, K. Geometric reconstructions of density based clusterings. Submitted. arXiv:2203.08020

  4. Garcia-Pulido, A.L., Hess, K., Tan, J., Turner, K., Wang, B., Yerolemou, N. Graph Pseudometrics from a Topological Point of View. Research in Computational Topology 2. (2022), Association for Women in Mathematics Series, vol 30, Pages 99-128.

  5. Arizmendi G., Garcia Pulido A. L., Herrera R. A note on the geometry and topology of almost even-Clifford manifolds. Quarterly Journal of Mathematics, Volume 69, Issue 1, 1 March 2018, Pages 321-376.

  6. Garcia Pulido A. L., Herrera R. Rigidity and vanishing theorems for almost even-Clifford Hermitian manifolds. SIGMA 13, (2017), 027, 28 pages.

  7. Garcia Pulido A. L., Models and string topology, Ph.D. Thesis, University of Warwick. (2013).