Martin Hofer

Mathematisches Institut der Universität München
Theresienstr. 39
D-80333 München

Email: hofer@math.lmu.de

Tel: +49 (0)89 2180 4418
Büro: Block B, 3. Stock, 321/322

Sprechstunde: nach Vereinbarung

Starting April 1st 2021 I work for the Universität der Bundeswehr München, so this site will no longer be maintained. You can now reach me at martin.hofer@unibw.de.

Research

Preprints/Publications

D. Bullach, M. Hofer: On trivial zeroes of Euler systems for Gm (preprint)
M. Hofer, S. Kleine On the Gross order of vanishing conjecture for large vanishing orders (accepted for publication at Monatshefte für Mathematik)
M. Hofer: On the Iwasawa-theoretic Mazur-Rubin-Sano conjecture for imaginary quadratic fields (no longer intended for publication as it is now a proper subset of On trivial zeroes of Euler systems for Gm)
W. Bley, M. Hofer: Construction of elliptic p-units accepted for publication in "Development of Iwasawa theory
- The Centennial of K. Iwasawa's Birth" in Advanced Studies in Pure Mathematics 86

Invited Talks

Oberseminar Arithmetische und Algebraische Geometrie - Universität München, (November 2019)
Oberseminar des Essener Seminar für Algebraische Geometrie und Arithmetik - Universität Essen (July 2019)
'Groups and Representation Theory'- TU Kaiserslautern (May 2019)
Seminar der Forschergruppe 'Symmetrie, Geometrie und Arithmetik'- Universität Heidelberg (November 2018)
Pure Mathematics Seminar - University of Exeter (March 2018)

Research Interests

Iwasawa theory
Equivariant Tamagawa Number Conjecture
Gross-Kuz'min conjecture
Elliptic Units
Stark's Conjecture and its refinements
and computational aspects of the above

As part of the introduction to my dissertation I have written the text "A short, subjective history of number theory - from Fermat to the eTNC". In this text I try to explain the above-mentioned research topics to non-experts readers and highlight some of the historical developments leading to these ideas.

Theses

Elliptic p-units and the equivariant Tamagawa Number Conjecture, Dissertation, 2018.
Equivalent formulations of the ETNC for certain biquadratic extensions, Master's thesis, 2014.
A survey of quantum algorithms for problems in algebraic number theory, Bachelor's thesis, 2012.