Eduardo Hoefel

Professor Eduardo Hoefel obtained his PhD from the State University of Campinas, Brazil, under the supervision of Acibíades Rigas, with a visiting research stay at the University of Pennsylvania (USA) under the supervision of Jim Stasheff. Following his PhD, he was appointed as a professor at the Federal University of Paraná (UFPR) in Curitiba, Brazil. Throughout his academic career, he has visited several universities in Argentina, Chile, France, the United States, and the United Kingdom.

His research interests focus on homotopical algebra, particularly the study of algebraic structures arising from the interaction between open and closed strings. In this context, he has contributed to the development of open-closed homotopy algebras (OCHAs), introduced by Kajiura and Stasheff in 2005, establishing their homotopical properties by applying the tools of Koszul operad theory. This work led to the proof of the open-closed version of Deligne’s conjecture on operads, in collaboration with Muriel Livernet and Alexandre Quesney. His research interests extend to algebraic topology, deformation theory of algebras, and operad theory, with applications in physics.

Professor Hoefel has supervised numerous master's and PhD students at UFPR, covering topics such as model categories, loop spaces, and symmetries in geometry and physics. A key aspect of his work in Curitiba has been the promotion of international academic exchange, both through research collaborations and by organizing international conferences and workshops. He has played an active role in coordinating international research projects and fostering cooperation between institutions in Brazil, France, Argentina, Uruguay, and Chile, significantly enhancing Curitiba’s international academic visibility. He is also involved in interdisciplinary research, particularly in quantum information theory and quantum computation.

During his stay in Strasbourg from April to June 2025, he will be hosted by Professor Vladimir Dotsenko (2021 Fellow) at the Institute for Advanced Mathematical Research (IRMA).