I'm a theoretical physicist, graduated at the University of São Paulo (USP).
Since 2015 I have a permanent professor position at the Federal University of Espírito Santo (UFES).
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My research is about integrable field theories, solitons and non-perturbative aspects of gauge theories.
Contact: gabriel.luchini@ufes.br
Integrability & Solitons
Nature, in a very broad sense, is certainly not integrable... but the fact that some important models are is awesome!
Gauge theories
Three of the four fundamental interactions are ruled by the gauge principle: this is more than enough reason to go deep in the subject!
Students @ Federal University of EspÃrito Santo
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Scientific Initiation Students
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Geórgia Sant'anna Battisti (2020 - now) - Fermions and gauge theory
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Victor Breda Zaché - UFES scholarship (2020 - now) - Generalized BPS equations for field theories in 1+1 dimensions
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Wallace Barra (2020 - now) - Algebraic solution for the Hydrogen atom's energy level spectrum
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eórgia Sant'anna Battisti (2019 - 2020) - Multisoliton solutions of the Toda model
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Victor Breda Zaché - UFES scholarship (2019 - 2020) [Awarded a certificate of honorable mention] - Generalised Stokes theorem and its application in the description of abelian gauge theories
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João Vitor Bastos Del Piero - FAPES scholarship (2018 - 2019) - Topological solitons in 1+1 dimensions
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Julhiana Vargas (2017-2018) Numerical and analytical study of the Mercury perihelion problem
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Gabriel Ayres - FAPES scholarship (2017-2018) - The Hirota method and the construction of soliton solutions
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Etevaldo Costa (2016-2017) - Solitons in O(3) nonlinear sigma model --- currently has a position as geophysicist at PETROBRAS
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Bernardo Amorim (2016-2017) - Q-Ball
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Isabela Crespo (2016-2017) - Dirac magnetic monopole
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Tadeu Tassis - FAPES scholarship (2015-2016) - Quasi-integrable perturbations of mechanical systems
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Carlos Felipe Pereira - FAPES scholarship (2015 - 2016)- Scattering of topological solitons
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Master Students
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Tadeu Tassis (Now a PhD student at UFABC) - CAPES scholarship (2017-2019) Topological solitons in scalar field theories in 1+1 dimensions
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Bernardo Amorim - CAPES scholarship (2018-2020) - Motion of non-abelian particles in static configurations of Yang-Mills equations
(Co-advisor) Carlos Felipe Pereira (Now a PhD student at UFES) - CAPES scholarship (2017 - 2019) Study of 1+1 dimensional topological solitons scattering processes using collective coordinates approximation
