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I am an Associate Professor at the School of Mathematics of the Universidad Nacional de Colombia, Sede Medellín. Prior to that, I was an Assistant Professor at the Department of Mathematics of the Universidad del Valle in Cali.

My research interests centre on questions from differential and algebraic geometry, representation theory and homological algebra with applications in aspects of mathematical physics. Below is a brief description of the specific research topics I am interested in.

• Links between algebraic geometry and theoretical physics using techniques from non-commutative geometry, quiver representations and derived categories.

• Categories of ∞-local systems and higher versions of the Chern-Weil theory.

• Interactions of quantum field theory with topology, homological algebra and supergeometry.

• Higher structures governing perturbation theory in the context of scattering amplitudes.