Journal publications and conference papers: 'Compressed data structures for Heegaard splittings', 'Hardness of computation of quantum invariants on 3-manifolds with restricted topology', 'LieDetect: Detection of representation orbits of compact Lie groups from point clouds', 'Empirical analysis of Biding Precedent efficiency in the Brazilian Supreme Court via Similar Case Retrieval', 'Cost Benefit Analysis for Investments in Power Grid Resilience - A Guide', 'Measuring the Power Grid Resilience: A Case Study Applied to Brazilian Distribution Companies', 'Two-body bound states through yukawa forces and perspectives on hydrogen and deuterium'.
Research Experience
Research areas: algorithmic quantum topology (knots and 3-manifolds, quantum invariants, topological quantum computing, combinatorial group theory); foundations of data science (topological data analysis, group invariant tasks in machine learning, manifold learning). Involved in several research projects, including efficient data structures for Heegaard splittings, hardness of computation of quantum invariants, and the LieDetect algorithm.
Education
PhD in Algorithmic Quantum Topology at INRIA Université Côte d'Azur, advised by Clément Maria and Nicolas Nisse; Master's in Mathematical Modeling at FGV-EMAp, advised by Raphaël Tinarrage and César Camacho; Bachelor's in Mathematics and Physics from Whitman College.
Background
Research interests: topology, algebra, and geometry, and their applications to classical and quantum complexity theory; statistics and machine learning, both theoretical and applied.