Numerical Algebraic geometry

PhD students

Current

• Barbara Betti 
• Leonie Kayser
• Niharika C. Paul (joint with Irem Portakal)

Past

• Kemal Rose (joint with B. Sturmfels): "Sparse polynomial systems in optimization"

• Dmitrii Pavlov (joint with B. Sturmfels): "Real algebraic geometry for physics and optimization"

Postdocs

Current

• Eric Pichon-Pharabod

Past

• Dmitrii Pavlov

Research internships

Zaïneb Bel-Afia : `Chebyshev varieties', 2023

Francesco Maria Mascarin: `Lissajous varieties', 2024

Master thesis students

Here's a list of the master thesis students I co-supervised, together with the topic of their thesis.

• Wieter Jacobs (joint with M. Van Barel): `Eigenvalue Methods for Solving Systems of Polynomial Equations', 2019 - 2020.
  
• Sofie Vandemoortele (joint with M. Van Barel): `Contour Integration Methods for Solving Systems of Polynomial Equations', 2019 - 2020.
  
• Ronald Hauwaerts (joint with M. Van Barel and N. Vannieuwenhoven): `Homotopy Continuation for Tensor Decomposition', 2019 - 2020.
  
• Charlotte Vermeylen (joint with M. Van Barel): `Towards a globally convergent iterative method for polynomial system solving', 2018-2019.
• Dries De Samblanx (joint with M. Van Barel): `Solving bivariate polynomial systems via a two-parameter eigenvalue problem', 2016-2017.