Publications:

72. There is no Khintchine
threshold for metric pair correlations. Mathematika,
to appear. (joint work with T. Lachmann and N.
Technau) [preprint] |

71. On large values of L(σ,χ).
Q. J. Math, to appear. (joint work with K.
Mahatab, M. Munsch
and A. Peyrot) [preprint] |

70. Normal numbers with digit
dependencies. Trans. AMS, to appear. (joint work with
V. Becher and O. Carton)
[preprint] |

69. Extreme values of the Riemann
zeta function on the 1-line. Int. Math. Res. Not.
IMRN, to appear. (joint work with K.
Mahatab and M. Munsch)
[preprint] |

68. Pair correlations and
equidistribution. J. Number Th. 182 (2018), 206--220.
(joint work with T.
Lachmann and F.
Pausinger) [preprint] |

67. On Quasi-Energy-Spectra, Pair
Correlations of Sequences and Additive Combinatorics.
In: Contemporary Computational Mathematics - a celebration
of the 80th birthday of Ian Sloan, Springer Verlag, pages
1--16, 2018. (joint work with I. Aichinger and G.
Larcher) [preprint] |

66. On Weyl products and uniform
distribution modulo one. Monatshefte Math. 185 (2018),
no. 3, 365--395. (joint work with G.
Larcher, F.
Pillichshammer, R. Tichy
and S. Saad Eddin) [preprint] |

65. Irregularities of
distributions and extremal sets in combinatorial
complexity theory. In: Contemporary Computational
Mathematics - a celebration of the 80th birthday of Ian
Sloan, Springer Verlag, pages 59--74, 2018. (joint work with
A.
Hinrichs) [preprint] |

64. On the construction of
absolutely normal numbers. Acta Arith. 180 (2017), no.
4, 333--346. (joint work with A. Scheerer, V. Becher and T. Slaman)
[preprint] |

63. Tusnady's problem, the transference
principle, and non-uniform QMC sampling. Monte Carlo
and quasi-Monte Carlo methods 2016, Springer Proc. Math.
Stat. 241, pages 169--180, 2018. (joint work with D. Bilyk and A. Nikolov)
[preprint] |

62. Some recent developments at the
intersection of Diophantine approximation, analytic number
theory, and irregularities of distributions.
RIMS Kokyuroku 2014 (2017), 161--172. (joint work with R. Hofer and G.
Larcher) [preprint] |

61. Additive energy and the
Hausdorff dimension of the exceptional set in metric pair
correlation problems. With an appendix by Jean Bourgain.
Israel J. Math. 222 (2017), no. 1, 463--485. (joint work
with G.
Larcher and M. Lewko) [preprint] |

60. Additive energy and irregularities of distribution. Unif. Distrib. Theory 12 (2017), no. 1, 99--107. (joint work with G. Larcher) [preprint] |

59. Large values of L-functions
from the Selberg class. J. Math. Anal. Appl. 446
(2017), no. 1, 345--364. (joint work with Ł.
Pańkowski) [preprint] |

58. On evil Kronecker sequences and
lacunary trigonometric products. Ann. Inst. Fourier 67
(2017), no. 2, 637--687. (joint work with R. Hofer and G.
Larcher) [preprint] |

57. On functions of bounded
variation. Math. Proc. Cambridge Philos. Soc. 162
(2017), no. 3, 405--418. (joint work with F. Pausinger, A. M. Svane and R.
Tichy) [preprint] |

56. On the size of the largest empty box amidst a point set. Discr. Appl. Math. 230 (2017), 146--150. (joint work with A. Hinrichs and D. Rudolf) [preprint] |

55. On sequences with prescribed metric discrepancy behavior. Monatshefte Math. 181 (2016), no. 3, 507--514. (joint work with G. Larcher) [preprint] |

54. Metric results on the discrepancy of sequences $(a_n α)_{n \geq 1}$ modulo one for integer sequences $(a_n)_{n \geq 1}$ of polynomial growth. Mathematika 62 (2016), no. 1-2, 478--491. (joint work with G. Larcher) [preprint] |

53. Lower bounds for the maximum of the Riemann zeta function along vertical lines. Math. Ann. 365 (2016), no. 1, 473--496. [preprint] |

52. On some questions of V. I. Arnold on the stochasticity of geometric and arithmetic progressions. Nonlinearity 28 (2015), no. 10, 3663--3675. [preprint] |

51. Convergence of series of dilated functions and spectral norms of GCD matrices. Acta Arith. 168 (2015), no. 3, 221--246. (joint work with I. Berkes, K. Seip and M. Weber) [preprint] |

50. On the law of the iterated logarithm for trigonometric series with bounded gaps II. J. Theor. Nombres Bordeaux 28 (2016), no. 2, 391--416. (joint work with K. Fukuyama) [preprint] |

49. Functions of bounded variation, signed measures, and a general Koksma--Hlawka inequality. Acta Arith. 167 (2015), no. 2, 143--171. (joint work with J. Dick) [preprint] |

48. Extremal discrepancy behavior of lacunary sequences. Monatsh. Math. 177 (2015), no. 2, 167--184. (joint work with K. Fukuyama) [preprint] |

47. Low-discrepancy point sets for non-uniform measures. Acta Arith. 163 (2014), no. 4, 345--369. (joint work with J. Dick) [preprint] |

46. On the limit distribution of the normality measure of random binary sequences. Bull. London Math. Soc. 46 (2014), no. 5, 968--980. [preprint] |

45. Tractability results for the weighted star-discrepancy. J. Complexity 30 (2014), no. 4, 381--391. [preprint] |

44. GCD sums from Poisson integrals and systems of dilated functions. J. Eur. Math. Soc. 17 (2015), no. 6, 1517--1546. (joint work with I. Berkes and K. Seip) [preprint] |

43. Metric number theory, lacunary series and systems of dilated functions. Uniform distribution and quasi-Monte Carlo methods, 1--16, Radon Ser. Comput. Appl. Math., 15, De Gruyter, Berlin, 2014. [preprint] |

42. A note on the Duffin-Schaeffer conjecture with slow divergence. Bull. London Math. Soc. 46 (2014), no. 1, 164--168. [preprint] |

41. Quantitative uniform distribution results for geometric progressions. Israel J. Math. 204 (2014), no. 1, 155--197. [preprint] |

40. On the distribution functions of two oscillating sequences. Unif. Distrib. Theory 8 (2013), no. 2, 157--169. (joint work with M. Hofer and M. Madritsch) |

39. Normal numbers and the normality measure. Comb. Prob. Comp. 22 (2013), no. 3, 342--345. [preprint] |

38. On a problem of Bourgain concerning the L^1-norm of exponential sums. Math. Z. 275 (2013), no. 3-4, 681--688. [preprint] |

37. On the uniform distribution modulo 1 of multidimensional LS-sequences. Ann. Mat. Pura Appl. 193 (2014), no. 5, 1329--1344. (joint work with M. Hofer and V. Ziegler) [preprint] |

36. Probabilistic discrepancy bound for Monte Carlo point sets. Math. Comp. 83 (2014), no. 287, 1373--1381. (joint work with M. Hofer) [preprint] |

35. Probabilistic star discrepancy bounds for double infinite random matrices. Monte Carlo and quasi-Monte Carlo methods 2012, 271--287, Springer Proc. Math. Stat., 65, Springer, Heidelberg, 2013. (joint work with M. Weimar) [preprint] |

34. Point Sets on the Sphere S^2 with Small Spherical Cap Discrepancy. Discr. Comp. Geometry 48 (2012), no. 4, 990--1024. (joint work with J. Brauchart and J. Dick) |

33. On the maximal spectral type of a class of rank one transformations. Dyn. Syst., 27 (2012), no. 4, 515--523. (joint work with M. Hofer) [preprint] |

32. Optimal bound for the discrepancies of lacunary sequences. Acta Arith. 158 (2013), no. 3, 229-243. (joint work with K. Fukuyama and Y. Furuya) [preprint] |

31. A central limit theorem for Latin hypercube sampling with dependence and application to exotic basket option pricing. Int. J. Theor. Appl. Finance 15 (2012), no.7, 20 pp. (joint work with M. Hofer and R.F. Tichy) [preprint] |

30. On the limit distribution of the well-distribution measure of random binary sequences. J. Theor. Nombres Bordeaux 25 (2013), no. 2, 245--259. [preprint] |

29. On the inverse of the discrepancy for infinite dimensional infinite sequences. J. Complexity 29 (2013), no. 2, 182--194. [preprint] |

28. On the system $f(nx)$ and probabilistic number theory. Analytic and probabilistic methods in number theory, 1--18, TEV, Vilnius, 2012. Proceedings of the 5th International Conference in honour of J. Kubilius held in Palanga. (joint work with I. Berkes and R.F. Tichy) [preprint] |

27. On the limit distribution of consecutive elements of the van der Corput sequence. Unif. Distrib. Theory 8 (2013), no. 1, 89--96. (joint work with M. Hofer) [preprint] |

26. Probabilistic error bounds for the discrepancy of mixed sequences. Monte Carlo Methods Appl. 18 (2012), no. 2, 181--200. (joint work with M. Hofer) [preprint] |

25. Limit distributions in metric discrepancy theory. Monatsh. Math. 169 (2013), no. 3, 253--265. (joint work with I. Berkes) [preprint] |

24. On the law of the iterated logarithm for the discrepancy of lacunary sequences II. Trans. AMS 365 (2013), no. 7, 3713--3728. [preprint] |

23. Uniform Distribution of generalized Kakutani's sequences of partitions. Ann. Mat. Pura Appl. 192 (2013), no. 4, 529--538. (joint work with M. Hofer) [preprint] |

22. On the law of the iterated logarithm for permuted lacunary sequences. Proc. Steklov Inst. Math. 276 (2012), 3--20. (joint work with I. Berkes and R.F. Tichy) |

21. On modifying normal numbers. Unif. Distrib. Theory 6 (2011), no. 2, 49--58. [preprint] |

20. On permutations of lacunary series. Functions in number theory and their probabilistic aspects, 1--25, RIMS Kokyuroku Bessatsu, B34, Res. Inst. Math. Sci. (RIMS), Kyoto, 2012. (joint work with I. Berkes and R.F. Tichy) |

19. The central limit theorem for subsequences in probabilistic number theory. Canad. J. Math., 64 (2012), no. 6, 1201--1221. (joint work with C. Elsholtz) [preprint] |

18. On the law of the iterated logarithm for trigonometric series with bounded gaps. Probab. Th. Rel. Fields, 154 (2012), no. 3-4, 607--620. (joint work with K. Fukuyama) |

17. Convergence of $\sum c_k f(k x)$ and the Lip $\alpha$ class. Proc. AMS, 140 (2012), no. 11, 3893--3903. [preprint] |

16. Covering numbers, dyadic chaining and discrepancy. J. Complexity, 27 (2011), no. 6, 531--540. [preprint] |

15. Upper and lower class separating sequences for
Brownian motion with random argument. Probab. Math.
Statist., 31 (2011), no. 2, 183--202. (joint work with S. Hörmann) [preprint] |

14. On the asymptotic behavior of weakly lacunary series. Proc. AMS, 139 (2011), no. 7, 2505--2517. (joint work with I. Berkes and R.F. Tichy) |

13. Lacunary sequences and permutations. in: Dependence in probability, analysis and number theory. A volume in memory of Walter Philipp. Kendrick Press (2010), 35--49. (joint work with I. Berkes and R.F. Tichy) |

12. Metric discrepancy theory, functions of bounded variation and GCD sums. Unif. Distrib. Theory 5 (2010), no. 1, 95--109. (joint work with P. Mayer and V. Ziegler) [preprint] |

11. Probability and metric discrepancy theory. Stoch. Dyn. 11 (2011), no. 1, 183--207. (joint work with I. Berkes) [preprint] |

10. The law of the iterated logarithm for $\sum c_k f(n_k x)$. in: Dependence in probability, analysis and number theory. A volume in memory of Walter Philipp. Kendrick Press (2010), 21--34. [preprint] |

9. On permutations of Hardy-Littlewood-Polya sequences. Trans. AMS, 363 (2011), 6219--6244. (joint work with I. Berkes and R.F. Tichy) [preprint] |

8. On the class of limits of lacunary trigonometric series. Acta Math. Hungar. 129 (2010), no. 1-2, 1--23. [preprint] |

7. Irregular discrepancy behavior of lacunary series II. Monatsh. Math. 161 (2010), no. 3, 255--270. [preprint] |

6. Diophantine equations and the LIL for the discrepancy of sub-lacunary sequences. Illinois J. Math. 53 (2009), no. 3, 785--815. [preprint] |

5. Irregular discrepancy behavior of lacunary series. Monatsh. Math. 160 (2010), no.1, 1--29. [preprint] |

4. On the law of the iterated logarithm for the discrepancy of lacunary sequences. Trans. AMS, 362 (2010), no. 11, 5967--5982. [preprint] |

3. On the central limit theorem for f(n_k x).
Probab. Th. Rel. Fields 146 (2010), no.1-2, 267--289. (joint
work with I. Berkes) |

2. On the law of the iterated logarithm for the discrepancy of (n_k x). Monatsh. Math. 156 (2009), no. 2, 103--121. (joint work with I. Berkes) [preprint] |

1. On the law of the iterated logarithm for the
discrepancy of sequences (n_k x) with multidimensional
indices. Unif. Distrib. Theory 2
(2007), no. 2, 89--104. [preprint] |

64. Introduction to the Duffin-Schaeffer
conjecture. December 16, 2019. Heilbronn Seminar on
the Duffin Schaeffer Conjecture. University of Bristol, UK. |

63. On measures of
pseudorandomness for finite binary sequences.
November 4, 2019. Prime Numbers, Determinism and
Pseudorandomness in Memoriam of Christian Mauduit (1959 -
2019). CIRM Luminy, France. |

62. On the road to Duffin-Schaeffer. August
27, 2019. Baikal Number Theory, Khuzhir/Olkhon, Russia. |

61. Extreme values of the Riemann zeta
function. March 26, 2019. Value distribution of zeta
and L-functions and related topics, RIKEN Tokyo, Japan. |

60. Equidistribution of the
Riemann zeta zeros. November 30, 2018. RICAM Linz,
Austria |

59. Pair correlations and
equidistribution. October 2, 2018. CIRM Luminy,
France. |

58. A cheap proof and a moment of
serendipity. June 11, 2018. Matrix Research Center,
Creswick, Australia. |

57. Pair correlations, additive
combinatorics, and some linear algebra. November 9,
2017. Algebra and Number Theory seminar, KFU Graz, Austria. |

56. (no title). November 1,
2017. MFO Oberwolfach, Germany. |

55. Discrepancy theory at the Gates of
Hell. September 12, 2017. ÖMG-DMV meeting. Salzburg,
Austria. |

54. Pair correlations and
equidistribution. July 3, 2017. 30th Journees
Arithmetiques. Caen, France. |

53. Extreme values of the Riemann
zeta function via the resonance method.
May 23, 2017. CIRM, Luminy, Marseille, France. |

52. Connections in normal number theory.
November 14, 2016. ESI, Vienna, Austria. |

51. Large values of the zeta function via
the resonance method. September 13, 2016. Analytic and
Probabilistic Methods in Number Theory, Palanga, Lithuania. |

50. Large values of the Riemann
zeta function. September 6, 2016. ELAZ, Strobl,
Austria. |

49. One Hundred Years of Uniform
Distribution Theory: Hermann Weyl’s Seminal
Paper of 1916. August 18, 2016. MCQMC, Stanford
University, USA. |

48. A cheap proof of Hinrichs' theorem. July 8, 2016. 5th International Conference on Uniform Distribution Theory. Sopron, Hungary. |

47. Metric discrepancy, Diophantine approximation and additive energy. June 13, 2016. Workshop on Discrepancy Theory. Villa Cipressi, Varenna, Italy. |

46. One hundred years of uniform distribution theory. Hermann Weyl's seminal paper of 1916. January 27, 2016. Lehrstuhlseminar, Lehrstuhl für Geometrie und Visualisierung, TU München. Munich, Germany. |

45. Pair correlations and additive energy. January 6, 2016. Conference on Combinatorial and Additive Number Theory. University Graz, Austria. |

44. Extreme values of the Riemann zeta function via the resonance method. November 6, 2015. Conference on Analytic Number Theory and Related Areas. Research Institute for Mathematical Sciences, University Kyoto, Japan. |

43. Extreme values of the Riemann zeta function. October 8, 2015. Salzburg Mathematics Colloquium, University Salzburg, Austria. |

42. One hundred years of uniform distribution theory. Hermann Weyl's foundational paper of 1916. September 13, 2015. International Conference on Harmonic Analysis and Approximations VI. Tsaghkadzor, Armenia. |

41. Quasi-Monte Carlo sampling for non-uniform measures. August 12, 2015. 8th International Congress on Industrial and Applied Mathematics. Beijing, China. |

40. On parametric Thue-Morse Sequences and Lacunary Trigonometric Products. July 14, 2015. Conference on Diophantine Approximation and Related Topics. Aarhus, Denmark. |

39. Low-discrepancy point sets for non-uniform measures. July 2, 2015. 10th IMACS Seminar on Monte Carlo Methods. Linz, Austria. |

38. GCD sums and the order of the Riemann zeta function. June 18, 2015. Workshop on Dirichlet Series and Analysis on Polydiscs. NTNU, Trondheim, Norway. |

37. Discrepancy theory for non-uniform measures. April 28, 2015. Workshop on Information-Based Complexity. Banach Center, Bedlewo, Poland. |

36. Quasi-Monte Carlo sampling for non-uniform measures. March 4, 2015. Kolloquium Stochastik und Versicherungsmathematik. TU Graz, Austria. |

35. Analysis of lacunary trigonometric products, a generalised Duffin-Schaeffer conjecture and discrepancy of sequences in the unit interval. February 27, 2015. Séminaire de Théorie des Nombres de Nancy-Metz, Institut Élie Cartan. Nancy, France. |

34. Low-discrepancy sequences for non-uniform measures. October 30, 2014. Workshop on Discrepancy Theory. ICERM, Providence, USA. |

33. Tractability of Quasi-Monte Carlo integration in high dimensions. October 10, 2014. Habilitationskolloqium, TU Graz, Austria. |

32. Convergence of function series, GCD sums, and the maximum of the Riemann zeta function. October 2, 2014. Workshop on Analytic Number Theory. Oxford, UK. |

31. Almost everywhere convergence of function series, uniform distribution mod 1 and GCD sums. August 14, 2014. International Congress of Mathematicians, Seoul, South Korea. |

30. Pseudorandomness properties of deterministic sequences: on some problems of V.I. Arnold. August 5, 2014. Seminar talk, Okayama University of Science, Japan. |

29. Metric number theory, lacunary series and systems of dilated functions. October 14, 2013. Workshop on Uniform Distribution and quasi-Monte Carlo Methods. RICAM Linz, Austria. |

28. Uniform distribution theory, almost everywhere convergence, and GCD sums. October 7, 2013. Seminar talk, TU Graz, Austria. |

27. On measures of pseudorandomness for binary sequences. September 30, 2013. Workshop on Uniform Distribution Theory and Applications. Mathematisches Forschungsinstitut Oberwolfach, Germany. |

26. Empirical processes, low-discrepancy point sets and tractability of multivariate integration. August 27, 2013. Applied Mathematics Seminar, UNSW, Sydney, Australia. |

25. On the inverse of the star-discrepancy. February 11, 2013. 5th Workshop on High-Dimensional Approximation. ANU, Canberra, Australia. |

24. Two topics in discrepancy theory: lacunary series and tractability of multivariate integration. November 6, 2012. Applied Mathematics Seminar, UNSW, Sydney, Australia. |

23. Probabilistic methods in Quasi-Monte Carlo
theory. July 12, 2012. 8th World Congress in
Probability and Statistics. Istanbul, Turkey. |

22. The central limit theorem for lacunary function
systems. July 2, 2012. Analytic Combinatorics and
Probabilistic Number Theory. TU Wien, Vienna, Austria. |

21. On the limit distribution of consecutive
elements of the van der Corput sequence. June 25,
2012. 3rd International Conference on Uniform Distribution
Theory, Smolenice, Slovakia. |

20. Probabilistic methods in Quasi-Monte Carlo
theory. February 13, 2012. MCQMC, Sydney,
Australia. |

19. Covering numbers, dyadic chaining and
discrepancy. July 5, 2011. FoCM'11. Budapest,
Hungary. |

18. Probabilistic discrepancy theory and
Diophantine equations. June 24, 2011. 27th Journees
Arithmetiques. Vilnius, Lithuania. |

17. Weak dependence in probabilistic number theory.
October 18, 2010. Seminar of the HIM Trimester
Program on Stochastics. Hausdorff Institute of Mathematics,
Bonn, Germany. |

16. Lacunary sequences, permutations and
Diophantine equations. July 8, 2010. 2nd
International Conference on Uniform Distribution Theory.
Strobl, Austria. |

15. Lacunary sequences and permutations. June
11,
2010. 20 Jahre Zahlentheoretisches Kolloquium. TU Graz,
Graz, Austria. |

14. Metric number theory and Diophantine equations.
May 17, 2010. International Center for Mathematical
Sciences, 15 South College, Edinburgh, UK. |

13. Uniform distribution and permutations.
February 26, 2010. MU Leoben, Leoben, Austria. |

12. Metric number theory and Diophantine equations.
February 9, 2010. University Kobe, Japan. |

11. Resultate in metrischer Zahlentheorie. January
8,
2010. Zahlentheoretisches Kolloquium. TU Graz, Graz,
Austria. |

10. Metric number theory and Diophantine equations.
November 16, 2009. University Debrecen, Hungary. |

9. Limit theorem for systems $(f (n_k x))_{k \geq
1}$. September 24, 2009. ÖMG+DMV Kongress, TU Graz,
Graz, Austria. |

8. The law of the iterated
logarithm and the central limit theorem for systems $(f (n_k
x))_{k \geq 1}$. August
4, 2009. Workshop on limit theorems. Institute of
Information Theory and Automation, Academy of Sciences,
Czech Republic. |

7. The law of the iterated logarithm and the
central limit theorem for systems $(f (n_k x))_{k \geq
1}$. June 18, 2009. Conference in Memory of Walter
Philipp: Dependence in Probability, Analysis and Number
Theory. TU Graz, Austria. |

6. Metric discrepancy theory and Diophantine
equations. January 26, 2009. Winter School on
Explicit Methods in Number Theory. University of Debrecen,
Hungary. |

5. Martingale approximation techniques in metric
discrepancy theory. August 26, 2008. Workshop on
Numerics and Stochastics, Helsinki University of Technology,
Finland. |

4. Pseudorandom numbers, discrepancy and the
well-distribution measure. June 16, 2008.
Foundations of Computational Mathematics 2008, Hongkong. |

3. On the discrepancy of {n_k x}. January 22, 2008. Colloque international sur la répartition uniforme. CIRM, Luminy, Marseille, France. |

2. On the law of the iterated logarithm for the discrepancy of {n_k x}. September 3, 2007. Workshop "Sequences". Malenovice, Czech Republic. |

1. On the discrepancy of {n_k x}. July 2, 2007. Workshop on Dynamical Systems and Number Theory. Strobl, Austria. |