Section 1.3 Research
Subsection 1.3.1 Recent Research Interests
With Martin Lüdtke, we are extending the Chabauty–Kim method for the thrice-punctured line to number fields, in particular cyclotomic fields. We can show that Kim’s Conjecture holds for \(\mathbb{Z}[\zeta_3]\)-points but the polylogarithmic quotient is insufficient to prove Kim’s Conjecture for integral points over imaginary quadratic fields different from \(\mathbb{Q}[\zeta_3]\text{.}\)
Subsection 1.3.2 Publications
Subsection 1.3.3 Reports of Projects
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Tensor Category in Arithmetic, Geometry and Physics (Dec 2023, GlaMS Group Project, with Julia Bierent, Gianni Gagliardo, Chun-Yu Bai)
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The Modularity Theorem and the Modular Approach (May 2023, Part III Essay)
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Net of Conics and Cubic Curves (Mar 2022, Undergraduate Final Year Project, with Yasmine Bligaard, Saffron Wang, Ruby David-Jekyll)
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Algebra Theorem Proving in Lean (Sep 2021, Undergraduate Summer Project)
