We prove that given a finite collection of cylinders in R^3 with the property that any two of them intersect, there is a line intersecting an alpha-fraction of the cylinders where alpha=1/14. This is a special case of a recent and interesting conjecture.
Miklós Laczkovich (born 21 February 1948) is a Hungarian mathematician mainly noted for his work on real analysis and geometric measure theory. His most famous result is the solution of Tarski's circle-squaring problem in 1989.
Miklós Abért is interested in measured and asymptotic group theory, in particular spectral theory of graphs and groups, local sampling convergence, graph polynomials, stochastic processes on groups, rank gradient, invariant random subgroups, homology growth, sofic entropy, cellular automata and locally symmetric spaces.
Valentin Blomer (born in Munich) is a German mathematician working on analytic number theory. His main research areas are: number theory, in particular analytic number theory, automorphic forms, L-functions, quadratic forms.
Keshav Aggarwal is a postdoctoral researcher at the Alfréd Rényi
Institute of Mathematics. His research lies in analytic number theory,
with a focus on the study of L-functions using classical tools like the
circle method and harmonic analysis.
Tamás Titkos is a research fellow of the MTA-Rényi "Momentum" Optimal Transport and Quantum Information Geometry Research Group. He is interested in functional analysis and optimal transport, in particular in the geometry of Wasserstein spaces.
Sarah Livia Zerbes is a German algebraic number theorist at ETH Zurich. Her research interests include L-functions, modular forms, p-adic Hodge theory, and Iwasawa theory, and her work has led to new insights towards the Birch and Swinnerton-Dyer conjecture, which predicts the number of rational points on an elliptic curve by the behavior of an associated L-function.
Wojtek Wawrow is a PhD student at the London School of Geometry and Number Theory. His main interests are arithmetic geometry and its many flavors, like non-Archimedean geometry. He is currently working under the supervision of Sarah Zerbes on topics related to the Bloch-Kato conjecture.