Program and abstracts:

Monday 13.07

09:30-10:10 Dzmitrii Badziahin, Cantor-winning sets and their applications in Diophantine Approximation

10:20-11.00 Barak Weiss, Badly approximable points on fractals

Coffee break

11:30-12:10 Jinpeng An, Bounded orbits on the space of 3-dimensional unimodular lattices

12:20-13:00 Yitwah Cheung, Prescriptions for a diagonal flow on the space of lattices


15:30-16:00 Andrzej Schinzel, On the Diophantine equation $x^2 + x + 1 = yz $

16:10-16:40 Yuri Nesterenko, Diophantine approximations to Catalan’s constant

Coffee break

17:10-17:40 Tapani Matala-aho, On Siegel's lemma

17:50-18:20 Topi Törmä, On irrationality exponents of generalized continued fractions with bounded partial coefficients

18:30-18:50 Steffen Pedersen, On a higher dimensional Mahler approximation

Tuesday 14.07

09:30-10:10 Radhakrishnan Nair, Haas-Molnar Continued Fractions and Metric Diophantine Approximation

10:20-11.00 Dmitriy Bilyk, Small ball inequality and low discrepancy constructions

Coffee break

11:30-12:00 Cristoph Aistleitner, On parametric Thue-Morse Sequences and Lacunary Trigonometric Products

12:10-12:40 Alan Haynes, Open questions about higher dimensional gaps problems

12:50-13:10 Denis Shatskov, Oscillation of irrational measure function in the multidimensional case


15:30-16:00 David Simmons, Unconventional height functions in Diophantine approximation

16:10-16:40 Erez Nesharim, Weighted badly approximable vectors in fractals

Coffee break

17:10-17:50 Leonhard Summerer, Recent advances in simultaneous approximation and the generalization of Jarnik's identity

18:00-18:30 Johannes Schleischitz, Diophantine approximation on manifolds

18:40-19:00 Renat Akhunzhanov, On multidimensional Lagrange and Dirichlet spectrums

Wednesday 15.07

09:30-10:10 Thomas Jordan, Fourier transforms and continued fractions

10:20-11.00 Giedrius Alkauskas, Transfer operator for the Gauss' continued fraction map. Structure of the eigenvalues and trace formulas

Coffee break

11:30-12:00 Nicolas Chevallier, Asymptotic behavior of best simultaneous Diophantine approximations

12:10-12:50 Michel Laurent, Diophantine approximation by primitive points. Metrical aspects

13:00-13:30 Iskander Aliev, Lattice programming gaps and Frobenius numbers


Free afternoon (guided tour to museum)


Thursday 16.07

09:30-10:10 Lenny Fukshansky, Height bounds for zeros of quadratic forms

10:20-11.00 Vasilii Bernik, On the distribution of algebraic numbers of fixed degree and bounded height

Coffee break

11:30-12:00 Henrietta Dickinson, The distribution of algebraic conjugate points

12:10-12:40 Martin Widmer, Asymptotic Diophantine approximation: The multiplicative case


14:50-15:20 Matthew Palmer, The Duffin-Schaeffer theorem in number fields

15:30-16:00 Victoria Zhuravleva, Diophantine approximation with Pisot numbers

16:10-16:40 Fabian Sueess, A refinement of the Khinchin-Jarnik Theorem on affine coordinate subspaces of Euclidean space

Coffee break

17:10-17:30 Congratulations to Wolfgang Schmidt, Skype connection with York

17:40-18:10 Sanda Bujacic, A variation of a congruence of Subbarao for $n = 2^α5^β , α, β ≥ 0$

18:20-18:50 Kalle Leppälä, Hausdorff dimension of generalized continued fraction Cantor sets

Friday 17.07

09:30-10.10 Faustin Adiceam, A problem in Diophantine geometry : how far can you see in a forest?

10:20-10:40 Henna Koivusalo, Quasicrystals and the Littlewood conjecture

Coffee break

11:10-11:50 Antonie Marnat, Parametric Geometry of Numbers and uniform exponents

12:00-12:30 Oleg German, Can multiparametric geometry of numbers solve Oppenheim conjecture?