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Project: Homological perturbation theory for Hochschild cohomology and applications (DC5) Supervisor: Emil Skoldberg Location: University of Galway, Ireland |
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My name is Sarah El Boustany, and I am Lebanese and French. I grew up in France and studied mathematics at Sorbonne University in Paris from 2019 to 2025. My first year was a common curriculum shared with students in physics, mechanics, electronics, and computer Science. I specialized in mathematics for my second year, while maintaining my curiosity about other topics. In my third year, I entered the intensive track of the mathematics bachelor’s program. I then completed the first year of a master’s in mathematics, during which I wrote a short thesis on Serre’s problem for projective modules. For my second year, I specialized in the fundamental mathematics master’s program, where I wrote a thesis in commutative algebra on the Jacobian criterion for complete intersections in the graded case. On the 1st of September 2025, I started a PhD in Hochschild cohomology, under the supervision of Dr. Emil Sköldberg. We will be studying, among other things, the Hochschild cohomology of group algebras over finite fields. I am also working on formalizing Hochschild cohomology using the Lean theorem prover, and I am hoping to write a package for Hochschild cohomology in Macaulay2. |
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