We are thrilled to announce that André Pedroso Kowacs has successfully defended his PhD dissertation jointly at Ghent University and Universidade Federal do Paraná, under the supervision of Profs Alexandre Kirilov and Michael Ruzhansky! 🌟

André began his academic journey with a Bachelor’s degree in Mathematics from UFPR in 2019. He quickly moved forward, embarking on his PhD directly in 2020, and spent 10 months in Belgium working on a joint PhD at our Ghent Analysis and PDE center of Ghent University. His research interests have focused primarily on analysis and partial differential equations, particularly in the context of compact Lie groups. 🌐🔍

His dissertation, titled “Links between regularity and inequalities on compact Lie groups”, presents remarkable results, including:

• Global hypoellipticity and solvability of first-order “evolution” differential operators with variable complex coefficients, defined on the finite product of compact Lie groups.
• Conditions for obtaining a “sharp” Gårding inequality for pseudo-differential operators acting on vector-valued functions and sections of homogeneous vector bundles.

This is a major achievement in the field of mathematics, contributing significantly to our understanding of the intricate connections between regularity and inequalities on compact Lie groups. 💡✨

Throughout his academic career, André has been actively involved in the Linear Equations group and the Universal CNPq projects since 2019. His work has resulted in two published papers and six preprints on arXiv. 📚🎓

Congratulations again to André, on this monumental achievement! 👏 👏👏

We are excited to see all the great things he will accomplish in his future endeavors and wish him all the best in his continued journey of academic and professional excellence. 🥳🎉🎊

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