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: by appointment
Email:
PGP: 1F67 70A8 09BC 4AD8 4BF2 09DD 6395 F15E 8A19 FBA3

Publications

  1. journal version preprint The least prime number in a Beatty sequence J. Steuding J. Number Theory 169, 144–159 (2016)
  2. journal verion A Loewner equation for infinitely many slits N. Technau Comput. Methods Funct. Theory 17, 255–272 (2017)
  3. journal version technical report conference version Emptiness problems for integer circuits D. Barth M. Beck T. Dose Chr. Glaßer L. Michler
    • technical report available as TR17-012 at the ECCC
    • conference version accepted at MFCS 2017
    • journal version: Theoretical Computer Science 824-825, 11–35 (2020)
  4. journal version preprint The maximal order of iterated multiplicative functions Chr. Elsholtz N. Technau Mathematika 65:4, 990–1009 (2019)
  5. journal version Generalised Beatty sets Notes on Number Theory and Discrete Mathematics 25:2, 127–135 (2019)
  6. journal version preprint Modular hyperbolas and Beatty sequences J. Number Theory 208, 148–167 (2020)
  7. journal version preprint Kloosterman sums with twice-differentiable functions I. E. Shparlinski to appear in Functiones et Approximatio
  8. preprint On the distribution of αp modulo one in imaginary quadratic number fields with class number one S. Baier submitted
  9. preprint Metric results on summatory arithmetic functions on Beatty sets A. Zafeiropoulos to appear in Acta Arith.

Other

  1. published version On Beatty sets and some generalisations thereof doctoral dissertation (2018), Würzburg University Press

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
  11. Kloosterman sums with twice-differentiable functions Arithmetik an der A7, Linz, 31.01.2020
  12. Metric results on summatory arithmetic functions on Beatty sets and beyond Number Theory during Lockdown, Online, 29.05.2020

Teaching

See TUGonline.
2021
2020/21
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)