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 in Algebraic Statistics (Conference/Journal, 2024)

   M. Casanellas, L. Sierra, P. Zwiernik. (* equal contribution)

   PDF Code Talk

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

Teaching & service

• STA2201: Methods of Applied Statistics II (Winter, 2026)
  Role: TA. Instructor: Elena Tuzhilina. Graduate level course in methods for high dimensional learning.
• STA414: Statistical Methods for Machine Learning II (Winter, 2026)
  Role: TA. Instructor: Chris Maddison.
• STA 314: Statistical Methods for Machine Learning I (Fall, 2025)
  Role: TA. Instructor: Xin Bing.
• STA 437: Methods for Multivariate Data (Winter, 2025)
  Role: TA. Instructor: Piotr Zwiernik.
• STA 314: Statistical Methods for Machine Learning I (Fall, 2024)
  Role: Instructor. Brief one-line description.

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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