Dr Marc Technau
Institut für Analysis und Zahlentheorie
Kopernikusgasse 24/II
8010 Graz
Austria

Room: NT·02·018
Phone: +43 (316) 873 – 7623
Office hour: Monday, 11–12
Email:
PGP: 1F67 70A8 09BC 4AD8 4BF2 09DD 6395 F15E 8A19 FBA3

Publications

  1. The least prime number in a Beatty sequence (with J. Steuding), J. Number Theory 169, 144–159 (2016), doi:10.1016/j.jnt.2016.05.022, (preprint: arXiv:1512.08382 [math.NT])
  2. A Loewner equation for infinitely many slits (with N. Technau), Comput. Methods Funct. Theory 17, 255–272 (2017), doi:10.1007/s40315-016-0179-6
  3. Emptiness problems for integer circuits (with D. Barth, M. Beck, T. Dose, C. Glaßer and L. Michler),
  4. The maximal order of iterated multiplicative functions (with C. Elsholtz and N. Technau), Mathematika 65:4, 990–1009 (2019), doi:10.1112/S0025579319000214, (preprint: arXiv:1709.04799 [math.NT])
  5. Generalised Beatty sets Notes on Number Theory and Discrete Mathematics 25:2, 127–135 (2019), 10.7546/nntdm.2019.25.2.127-135
  6. Modular hyperbolas and Beatty sequences to appear in J. Number Theory, doi:10.1016/j.jnt.2019.07.022, (preprint: arXiv:1808.00413 [math.NT])
  7. Kloosterman sums with twice-differentiable functions (with I. E. Shparlinski), submitted, (preprint: arXiv:1902.05989 [math.NT])
  8. On the distribution of αp modulo one in imaginary quadratic number fields with class number one (with S. Baier), (preprint: arXiv:1905.07623 [math.NT])
  9. Metric results on summatory arithmetic functions on Beatty sets (with A. Zafeiropoulos), submitted, (preprint: arXiv:1907.06050 [math.NT])

Other

  1. On Beatty sets and some generalisations thereof doctoral dissertation (2018), Würzburg University Press, URN: urn:nbn:de:bvb:20-opus-163303

Résumé

Born: 1993 in Freiburg im Breisgau.

Education

2018
Dr. rer. nat., University of Würzburg
thesis: On Beatty sets and some generalisations thereof
doctoral advisor: J. Steuding
2015
M.Sc., University of Würzburg
2013
B.Sc., University of Würzburg
2011
Abitur, Röntgen-Gymnasium Würzburg

Employment

10.2018–
Universitätsassistent mit Doktorat at the Institute of Analysis and Number Theory at Graz University of Technology
04.2015–09.2018
Wissenschaftlicher Mitarbeiter at the University of Würzburg in the research group of J. Steuding
04.2012–01.2015
Various short-term employments as either Studentische Hilfskraft or Nebenberuflicher Wissenschaftlicher Mitarbeiter for teaching at the University of Würzburg

Talks

  1. On a result of F. P. Boca on the number of products of certain matrices with trace ≤ N Arithmetik an der A7, Würzburg, 30.01.2015
  2. Special values in Beatty sequences Arithmetik an der A7, Hildesheim, 15.01.2016
  3. The least prime number in a Beatty sequence Royal Holloway Number Theory Seminar, Egham (Surrey), 11.05.2016
  4. Iterating number-theoretic functions for fun and no profit whatsoever The Joint Über-Seminar, Würzburg, 19.05.2016
  5. The least prime number in a Beatty sequence Elementare und Analytische Zahlentheorie (EℓAZ2016), Stobl am Wolfgangsee, 07.09.2016
  6. On the maximal order of some arithmetic functions The Sixth International Conference Analytic and Probabilistic Methods in Number Theory, Palanga, 16.09.2016
  7. Kloosterman sums with Beatty sequences Arithmetik an der A7, Würzburg, 22.–23.06.2017
  8. Generalised Beatty sets Oberseminar Zahlentheorie, Würzburg, 08.12.2017
  9. On the distribution of αp modulo one in imaginary quadratic number fields with class number one Zahlentheoretisches Kolloquium, Graz, 11.01.2019
  10. Metric results on summatory arithmetic functions on Beatty sets Arithmetik an der A7, Ulm, 05.07.2019

Teaching

See TUGonline.
2019/20
2019
  • Analysis T1 (Exercises)
2018/19
  • Analysis 1 (Exercises)
  • Einführung in die komplexe Analysis (Exercises)
  • Mathematik C (Exercises)
2018
  • Lineare Algebra 2 (Exercises)
2017/18
  • Analytic Number Theory (Exercises)
2017
  • Einführung in die Zahlentheorie (Exercises)
2016/17
  • Analysis 2 (Exercises)
2016
  • Analysis 1 (Exercises)
  • Repetitorium: Theoretische Informatik (Revision course)
2015/16
  • Mathematik I für Studierende der Physik, Nanostrukturtechnik, Funktionswerkstoffe sowie Luft- und Raumfahrtinformatik (Exercises)
2015
  • Einführung in die Zahlentheorie (Exercises)
2014/15
  • Analytische Geometrie (Exercises)
2014
  • Analysis 2 (Exercises)
  • Einführung in die Theoretische Informatik (Exercises)
  • Repetitorium: Theoretische Informatik (Revision course)
2013/14
  • Programmierkurs für Mathematiker (Exercises)
2013
  • Programmierkurs für Mathematiker (Exercises)
  • Repetitorium: Theoretische Informatik (Revision course)
2012/13
  • Programmierkurs für Mathematiker (Exercises)
2012
  • Programmierkurs für Mathematiker (Exercises)

Links

ORCID
Marc Technau ORCID iD https://orcid.org/0000-0001-9650-2459
PURE
https://graz.pure.elsevier.com/en/persons/marc-technau/publications
MathSciNet
http://www.ams.org/mathscinet/search/author.html?mrauthid=1171457
zbMATH
https://zbmath.org/authors/?q=ai:technau.marc
arXiv
https://arxiv.org/a/technau_m_1.html
TUGonline
https://online.tugraz.at/[...]?pPersonenId=97A4842A99577C10&pPersonenGruppe=3

Here is an excerpt from my doctoral ancestry as of August 2018