Dmitry Badziahin

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Dmitry (Dzmitry) A. Badziahin, a Belarusian mathematician currently affiliated with the University of Sydney, and previously the Durham University. He holds a Ph.D. in 2007 from University of York under advisor Sanju Velani. His research interests lies mostly in analytic number theory, in particular Diophantine approximation, with combinatorics of words, generalized Cantor sets and the Littlewood conjecture and its analogues. His hobbies include chess and programming - he is author of the chess utility Kvetka.

=Selected Publications=

2005 ...

 * Dzmitry Badziahin (2005). Inhomogeneous approximations and lower bounds for the Hausdorff dimension. Vestsi Nats. Akad. Navuk Belarusi Ser. Fiz.-Mat., Vol. 126, No. 3 (Russian)
 * Dzmitry Badziahin, Jason Levesley (2007). A note on simultaneous and multiplicative Diophantine approximation on planar curves. Glasgow Mathematical Journal, Vol. 49, No. 2
 * Dzmitry Badziahin (2008). Inhomogeneous Diophantine approximation on curves and Hausdorff dimension. arXiv:0809.3937

2010 ...

 * Dzmitry Badziahin, Sanju Velani (2010). Multiplicatively badly approximable numbers and generalised Cantor sets. arXiv:1007.1848
 * Dzmitry Badziahin (2011). On multiplicatively badly approximable numbers. arXiv:1101.1855
 * Dzmitry Badziahin, Sanju Velani (2013). Badly approximable points on planar curves and a problem of Davenport. arXiv:1301.4243 » Harold Davenport
 * Dzmitry Badziahin, Evgeniy Zorin (2014). Thue-Morse constant is not badly approximable. arXiv:1407.3182 » Prouhet–Thue–Morse Sequence

2015 ...

 * Dzmitry Badziahin, Evgeniy Zorin (2015). On generalized Thue-Morse functions and their values. arXiv:1509.00297
 * Dzmitry Badziahin (2016). Computation of the Infimum in the Littlewood Conjecture. Experimental Mathematics, Vol. 25, No. 1
 * Dzmitry Badziahin, Evgeniy Zorin (2017). On irrationality measure of Thue-Morse constant. arXiv:1707.06677
 * Dzmitry Badziahin (2018). On spectrum of irrationality exponents of Mahler numbers. arXiv:1806.02946

2020 ...

 * Dzmitry Badziahin (2020). On t-adic Littlewood conjecture for generalised Thue-Morse functions. arXiv:2001.01422
 * Dmitry Badziahin (2021). Upper bounds for the uniform simultaneous Diophantine exponents. arXiv:2107.11134

=External Links=
 * Dzmitry Badziahin, Sydney Mathematics &amp; Statistics
 * The Mathematics Genealogy Project - Dzmitry Badziahin
 * International Mathematical Olympiad: Dzmitry Badziahin

=References= Up one Level