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Welcome! I'm Elena.
I'm a mathematician specializing in Algebra. My journey in this field started at the department of Mathematics, Sapienza Università di Roma, where I completed my Ph.D. in February 2025 under the supervision of Ernesto Spinelli, focusing on Fundamental Algebras in PI-Theory. Following my Ph.D., I was a Postdoctoral Researcher at Sapienza, where I worked alongside Giovanni Cerulli Irelli.
My research primarily involves using combinatorial methods and representation theory to explore the world of PI-algebras—specifically those with extra structures, such as group gradings or traces. More recently, I have been diving into the realm of quivers and path algebras.
I’m always open to discussing new ideas, so feel free to take a look at my work or drop me a line if you’d like to chat!
Open to new challenges and adventures
— available for positions starting in early 2026!
News:
February 2026
I am teaching a PhD course at the University of L'Aquila on Polynomial Identities in Algebras.
January 2026
I gave entitled ‘‘Combinatorics of Trace Identities’’ at the INTRICATO 2026 conference.
December 2025
In December, I gave a talk entitled “Characterizing PI Quivers“ at the ARTA 2025 workshop.
September 2025
I have recently co-organized the Polynomial Identities and Related Topics 2025 workshop in Rome.
“It is not knowledge, but the act of learning,
not the possession but the act of getting
there, which grants the greatest enjoyment.”
― Carl Friedrich Gauss
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