Yuval Yifrach's Homepage
I am a postdoc at University of Zurich under the guidance of Prof. Alex Gorodnik
I am interested in manifestations of Ergodic Theory and Homogenous Dynamics in Number Theory. Here is my CV.
My research statement is available upon request.
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Papers​:
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E. Milman and Y. Yifrach. ``Random Sections of Convex Bodies and the Random Quotient-of-Subspace Theorem". J. Func. Anal. , 2021, https://www.sciencedirect.com/science/article/abs/pii/S0022123621002159
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Y. Yifrach. ``A Note about Weyl Equidistribution Theorem" Preprint arXiv:2201.07138(2022), accepted to Monatshefte fur Mathematik.
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Y. Yifrach. ``The Equidistribution of Grids of Rings of Integers in Number Fields of Degrees 3,4 and 5." Preprint arXiv:2201.10942(2022), submitted.
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O.N. Solan and Y. Yifrach. ``Tori Approximation of Families of Diagonally Invariant Measures" , Geometric and Functional Analysis, 2023, https://link.springer.com/article/10.1007/s00039-023-00646-7.
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G. Lachman, A. Rao, U. Shapira and Y. Yifrach. ``K-Divergent Lattices", Combinatorics and Number Theory (formerly Moscow Journal of Number Theory) Vol. 13 (2024), No. 3, 207–224 DOI: 10.2140/cnt.2024.13.207.
Teaching Experience
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Complex Analysis, Spring 2023
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Set Theory, Spring 2022
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Real Analysis, Winter 2021
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Complex Analysis, Spring 2020
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Calculus 2, Winter 2020
Research Interests
My research field is Ergodic theory, dynamical systems and homogeneous dynamics with applications to number theory. I typically apply dynamical tools, often related to hyperbolic geometry to deduce results in Diophantine approximation and in algebraic number theory. Most of my works are related to number fields and to dynamical objects which arise from them. Often, there is a symbiosis between understanding properties of these number fields and properties of certain dynamical systems.