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Project: Torsion elements in higher K-groups (DC13) Supervisors: Herbert Gangl, Rob de Jeu Location: University of Durham, United Kingdom |
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My name is Narges Shavali, and I am an Iranian mathematician currently based at Durham University in the United Kingdom. I began my academic journey with a strong interest in mathematics in Iran, where I built a solid foundation in pure mathematics. Over time, my focus developed toward algebraic geometry and arithmetic geometry, and I became particularly interested in the interaction between higher algebraic K-theory and the arithmetic properties of rings and schemes. During my master’s studies, I developed a deep fascination for higher K-groups. My thesis focused on different constructions of higher K-theory, especially the Q-construction, and their structural meaning. During my PhD, my goal is to explore the relationship between K-groups and zeta functions and understand how they reflect arithmetic properties of rings of integers of number fields. In parallel with my theoretical research, I aim to develop my computational skills using PARI/GP to study explicit arithmetic and K-theoretic phenomena. |
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