Luis Sierra Muntané

Research

Broadly, I’m interested in the intersection of statistical methods, commutative algebra, and geometric tools. Current projects include:

• Tensors in Algebraic Statistics

  How does a deeper understanding of tensor geometry allow for an understanding and methods in Algebraic Statistics.

• Degrees of freedom in matrix completion problems

  Are all entries in a matrix equally important? How do different methods affect the geometry of solutions in matrix approximations?

• Recovering discrete spectra in random matrices

  Old problems, modern approaches.

• Open to collaborations

  If you’d like to collaborate or just talk about research, don't hesitate to reach out!

1. Tensors en estadística algebraica (Butlletí De La Societat Catalana De Matemàtiques, 2025)

   L. Sierra, M. Casanellas, P. Zwiernik.

   PDF

   @article{Sierra_Casanellas_Zwiernik_2025, title={Tensors en estadística algebraica}, url={https://revistes.iec.cat/index.php/BSCM/article/view/155883}, journal={Butlletí de la Societat Catalana de Matemàtiques}, author={Sierra, Luis and Casanellas, Marta and Zwiernik, Piotr}, year={2025}, month={Oct.}, pages={131–169} }
   }

2. Tensors in Algebraic Statistics (Conference/Journal, 2024)

   M. Casanellas, L. Sierra, P. Zwiernik.

   PDF Code Talk

   @inproceedings{your2024paper,
     title={Paper Title One},
     author={Author A and Your Name and Author C},
     booktitle={Venue},
     year={2024}
   }

Teaching & service

• STA 238: Probability, Statistics and Data Analysis II (Winter, 2026)
  Role: Course Co-Instructor
• STA2201: Methods of Applied Statistics II (Winter, 2026)
  Role: TA. Instructor: Elena Tuzhilina. Graduate level course in methods for high dimensional learning.
• STA 314: Statistical Methods for Machine Learning I (Fall, 2025)
  Role: TA. Instructor: Chris Maddison.
• STA 437: Methods for Multivariate Data (Winter, 2025)
  Role: TA. Instructor: Piotr Zwiernik.
• STA 314: Statistical Methods for Machine Learning I (Fall, 2024)
  Role: TA. Instructor: Xin Bing.

News

• 2025-11-01 — Officially became a PhD candidate.
• 2025-05-20 — Paper accepted to SCM.
• 2024-09-01 — Started my PhD!

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