Publications

• Confidence Bands for Multiparameter Persistence Landscapes
  Inés García-Redondo, Anthea Monod and  Qiquan Wang. (11 pages)
  ArXiv version and code. 

• Holes in Latent Space: Topological Signatures Under Adversarial Influence
  Aideen Fay, Inés García-Redondo, Qiquan Wang, Haim Dubossarsky and Anthea Monod. (41 pages)
  ArXiv version.

2024

• Finding the Cores of Higher Graphs Using Geometric and Topological Means: A Survey
  Inés García-Redondo,  Claudia Landi, Sarah Percival, Anda Skeja, Bei Wang, and Ling Zhou.
  Accepted to Research in Computational Topology 3, Association for Women in Mathematics (AWM)-Springer series. ArXiv version.

• On the Limitations of Fractal Dimension as a Measure of Generalization
  Charlie Tan, Inés García-Redondo, Qiquan Wang, Michael Bronstein and Anthea Monod
  Advances in Neural Information Processing Systems, 38. (2024). Published version.

• Computable Stability for Persistence Rank Function Machine Learning

Qiquan Wang, Inés García-Redondo,  Pierre Faugère, Anthea Monod and Gregory Henselman-Petrusek

Computer Graphics Forum – Proceedings of the Symposium on Geometry Processing 2024, https://doi.org/10.1111/cgf.15142 (2024)

• Fast Topological Signal Identification and Persistent Cohomological Cycle Matching

Inés García-Redondo, Anthea Monod and Anna Song. 

Journal of Applied and Computational Topology, https://doi.org/10.1007/s41468-024-00179-4  (2024) [code]

• Understanding the proof of Lawson's Conjecture

Written notes for the first mini-project of the LSGNT. Joint work with Nick Manrique, supervised by Costante Bellettini and Marco Guaraco.

• Monodromy on isolated hypersurface singularities 

Final thesis for the MSc in Advanced Mathematics (University Complutense of Madrid). Supervised by María Pe Pereira.

• Introduction to the study of isolated singularities of complex hypersurfaces (in Spanish) 

Final thesis for the degree in Mathematics (University Complutense of Madrid). Supervised by María Pe Pereira.

• Break course on Black Hole Physics (in Spanish) 

Final thesis for the degree in Physics (University Complutense of Madrid). Supervised by Diego Rubiera-García.