University of Durham --- Department of Mathematical Sciences

Dr Dmitry Badziahin

Department of Mathematical Sciences
Durham University
Science Laboratories
South Rd
Durham, UK. DH1 3LE

Phone: +44 (0) 191 33 43110
Room: CM106
e-mail: dzmitry.badziahin(at)


My research interests lie mostly in Analytical Number theory, in particular Diophantine approximation. More specific areas of interest: I'm also interested in some aspects of computational number theory, dynamic systems and ergodicity.


With S. Harrap and M. Hussain, An Inhomogeneous Jarník type theorem for planar curves , preprint.

With S. Harrap, Cantor-winning sets and their applications, preprint.

On continued fraction expansion of potential counterexamples to p-adic Littlewood conjecture, preprint.

With J. Shallit, An Unusual Continued Fraction, accepted by Proc. of AMS, 2015.

With Y. Bugeaud, M. Einsiedler and D. Kleinbock, On the complexity of a putative counterexample to the p-adic Littlewood conjecture, accepted by Comp. Math., 2015.

With E. Zorin, Thue-Morse constant is not badly approximable, accepted by Int. Math. Res. Not., 2014.

With S. Velani, Badly approximable points on planar curves and a problem of Davenport, Math. Annalen, V. 359(3-4), pp. 969-1023, 2014.

On multiplicatively badly approximable numbers, Mathematika, V. 59(1), pp. 31 -- 55, 2013.

With V. Beresnevich and S. Velani, Inhomogeneous theory of dual Diophantine approximation on manifolds, Advances in Math., V. 232, pp. 1 -- 35, 2013.

With S. Velani. Multiplicatively badly approximable numbers and generalised Cantor sets, Advances in Math., V. 228(5), pp. 2766 -- 2796, 2011.

With A. Pollington and S. Velani, On a problem in simultaneous Diophantine approximation: Schmidt's conjecture, Annals of Math., V. 174, pp. 1837 -- 1883, 2011.

With J. Levesley and S. Velani, The mixed Schmidt conjecture in the theory of Diophantine approximation, Mathematika, V. 57(2), pp. 239 -- 245, 2011.

With A. Haynes, A note on Farey fractions with denominators in arithmetic progressions, Acta Arithmetica, V. 147(3), pp. 205 -- 215, 2011.

Inhomogeneous Diophantine approximation on curves and Hausdorff dimension, Advances in Math., V. 223(1), pp. 329 -- 351, 2009.

With I. Morozova, On the exact exponent of convergence of series with small denominators. Vestsi Nats. Akad. Navuk Belarusi Ser. Fiz.-Mat. Navuk 2007, N. 2, pp 37 -- 40. (in Russian)

With J. Levesley, Convergence results for simultaneous and multiplicative Diophantine approximation on planar curves, Glasgow Math. J., V. 49, pp. 367 -- 375, 2007.

With J. Levesley, Computation of fractional measures in the case of convergence for Diophantine approximations on planar curves. Dokl. Nats. Akad. Nauk Belarusi V. 50, N. 6, pp. 24--27, 2006. (in Russian)

Inhomogeneous Diophantine approximation and lower bounds of Hausdorff dimension, Vesti Nats. Acad. Navuk Belarusi. Ser. Fiz.-Mat. Navuk 2005, N. 3, pp 32 -- 36. (in Russian)

With I. Morozova, On small denominators of product of linear forms, proceeding of the international mathematical conference in honor of Skorobogatko, Lvov 2004. (in Russian)

Some other math. related interests

Here are the computational projects in which I participated:

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My most favorite hobbies are: