Education:
• Ph.D. Mathematical Sciences, 2015 – 2020
Purdue University - Campus: IUPUI, Indianapolis, USA
Advisor: Dr. Evgeny Mukhin
Thesis: Quantum Toroidal Superalgebras
• M.S. Mathematics, 2014 – 2015
University of Campinas - UNICAMP, Campinas, Brazil
Advisor: Dr. Adriano Adrega de Moura
Dissertation: Bases of Local Weyl Modules
• B.S. Mathematics, 2011 – 2013
University of Campinas - UNICAMP, Campinas, Brazil
Advisor: Dr. Adriano Adrega de Moura
Publications:
• Representations of affine Lie superalgebras and their quantization in type A (2022)
Luan Bezerra, Lucas Calixto, Vyacheslav Futorny, and Iryna Kashuba,
Journal of Algebra 611, 2022, pp. 320-340
DOI:10.1016/j.jalgebra.2022.08.012
arXiv:2202.04401
• Representations of quantum toroidal superalgebras and plane s-partitions (2021)
Luan Bezerra and Evgeny Mukhin, Submitted
arXiv:2104.05841
• Braid actions on quantum toroidal superalgebras (2019)
Luan Bezerra and Evgeny Mukhin,
Journal of Algebra 585, 2021, pp. 338-369
DOI:10.1016/j.jalgebra.2021.06.012
arXiv:1912.08729
• Quantum toroidal algebra associated with glm|n (2019)
Luan Bezerra and Evgeny Mukhin,
Algebras and Representation Theory 24, 2020, pp. 541-564
DOI:10.1007/s10468-020-09959-9
arXiv:1904.07297