Laplagne, Santiago

2024

• Primer cuatrimestre: Laboratorio de Datos

2023

• Verano: Álgebra Lineal Computacional

2022

• Segundo cuatrimestre: Álgebra Lineal Computacional
• Primer cuatrimestre: Álgebra Lineal Computacional

2021

• Segundo cuatrimestre: Optimización Semidefinida
• Primer cuatrimestre: Álgebra Lineal Computacional

• Sum of squares decomposition of positive polynomials with rational coefficients (2024)
  S. Laplagne
  Journal of Pure and Applied Algebra
  https://doi.org/10.1016/j.jpaa.2024.107631
• Computing integral bases via localization and Hensel lifting (2022)
  J. Boehm, W. Decker, S. Laplagne, G. Pfister
  Journal of Symbolic Computations - Special issue MEGA 2019
  https://arxiv.org/abs/1505.05054
• Facial reduction for exact polynomial sum of squares decompositions (2020)
  S. Laplagne
  Mathematics of Computation 2020
  https://arxiv.org/abs/1810.04215
• Normalization of Rings (2010)
  G.-M. Greuel, S. Laplagne, F. Seelisch
  Journal of Symbolic Computations 2010
  http://arxiv.org/abs/0904.3561

Adjunct Professor at the Institute of Calculus.

I completed my PhD in mathematical sciences at the University of Buenos Aires under the supervision of Teresa Krick, focusing on algorithms in commutative algebra. Afterwards, I conducted postdoctoral research in biomathematics at City University of Hong Kong under the supervision of Steve Smale, studying the 3D structure of proteins. My current areas of interest are computational algebra, real algebraic geometry, and semidefinite programming. Specifically, I am focused on algorithms for ring normalization and computational tools for decomposing positive polynomials as sums of squares.