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: _m_technau_@_math.tugraz.at_
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: _m_technau_@_math.tugraz.at_
Publications
- journal version preprint The least prime number in a Beatty sequence J. Number Theory 169, 144–159 (2016)
- journal version A Loewner equation for infinitely many slits Comput. Methods Funct. Theory 17, 255–272 (2017)
- journal version technical report conference version Emptiness problems for integer circuits
- journal version preprint The maximal order of iterated multiplicative functions Mathematika 65:4, 990–1009 (2019)
- journal version Generalised Beatty sets Notes on Number Theory and Discrete Mathematics 25:2, 127–135 (2019)
- journal version preprint Modular hyperbolas and Beatty sequences J. Number Theory 208, 148–167 (2020)
- journal version preprint Kloosterman sums with twice-differentiable functions Functiones et Approximatio 63:1, 113–124 (2020)
- journal version preprint On the distribution of αp modulo one in imaginary quadratic number fields with class number one J. Théor. Nombres Bordx. 32:3, 719–760 (2020)
- journal version preprint Metric results on summatory arithmetic functions on Beatty sets Acta Arith. 197:1, 93–104 (2021)
Submitted
- Oscillatory integrals and the metric Piatetski-Shapiro prime number theorem
Other
- 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: prof. dr 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 prof. dr 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
- 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
- Special values in Beatty sequences Arithmetik an der A7, Hildesheim, 15.01.2016
- The least prime number in a Beatty sequence Royal Holloway Number Theory Seminar, Egham (Surrey), 11.05.2016
- Iterating number-theoretic functions for fun and no profit whatsoever The Joint Über-Seminar, Würzburg, 19.05.2016
- The least prime number in a Beatty sequence Elementare und Analytische Zahlentheorie (EℓAZ2016), Stobl am Wolfgangsee, 07.09.2016
- On the maximal order of some arithmetic functions The Sixth International Conference Analytic and Probabilistic Methods in Number Theory, Palanga, 16.09.2016
- Kloosterman sums with Beatty sequences Arithmetik an der A7, Würzburg, 22.–23.06.2017
- Generalised Beatty sets Oberseminar Zahlentheorie, Würzburg, 08.12.2017
- On the distribution of αp modulo one in imaginary quadratic number fields with class number one Zahlentheoretisches Kolloquium, Graz, 11.01.2019
- Metric results on summatory arithmetic functions on Beatty sets Arithmetik an der A7, Ulm, 05.07.2019
- Kloosterman sums with twice-differentiable functions Arithmetik an der A7, Linz, 31.01.2020
- Metric results on summatory arithmetic functions on Beatty sets and beyond Number Theory during Lockdown, Online, 29.05.2020
- On the metric Piatetski-Shapiro prime number theorem Arithmetik an der A7, Online, 04.03.2021
Teaching
See TUG▪online.- 2021/22
- Algebra (Lecture+Exercises)
- Mathematics for advanced materials science (Lecture with integrated exercises)
- 2021
- Einführung in die Algebra (Lecture+Exercises)
- Komplexe Analysis (Seminar)
- 2020/21
- 2019/20
- 2019
- 2018/19
- 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
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
- TUG▪online
- https://online.tugraz.at/[...]?pPersonenId=97A4842A99577C10&pPersonenGruppe=3
Here is an excerpt from my doctoral ancestry as of August 2018