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Hello and welcome!
My name is Nikita Shulga, I am a Postdoctoral Research Associate at the University of Sydney working with Dmitry Badziahin.
Previously, I finished postgraduate studies and a bachelor's plus master's degree at Moscow State University under the supervision of Nikolay Moshchevitin. I received my PhD at La Trobe University, Australia under the supervision of Mumtaz Hussain.
My research interests lie in number theory, additive combinatorics, broadly understood dynamical systems, and how these topics interact with each other. In particular, I work in Diophantine approximation theory, in both metrical and regular approximation problems. I also investigate ways AI can help solving mathematical problems.
You can find a full list of my publications on the page Publications.
Latest updates:
Latest updates:
My new preprint resolving the nine-distance conjecture for Kronecker sequences is available on arXiv.
My new preprint about the Dirichlet spectrum with respect to L1 norm recently appeared on arXiv.
The paper "A benchmark of expert-level academic questions to assess AI capabilities" about the Humanity's Last Exam benchmark appeared in Nature.
My manuscript "On a conjecture of Cusick on sums of Cantor sets." was just accepted in the Transactions of the American Mathematical Society.
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