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Recent Publications (selection) |
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History of mathematics and
physics
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| 2024 |
From heliocentrism to epicycles: a commentary on pre-Ptolemaic astronomy. In Episodes from the History of Mathematics: Essays in Honor of Jesper Lützen, ed. Toke Knudsen and Jessica Carter. Berlin: DeGruyter, pp. 208-233. arXiv.org | |
| 2024 |
From Grassmann complements to
Hodge-duality. In Duality in 19th and 20th Century Mathematical Thinking, ed. Ralf Krömer and Emmylou Haner. Vol. 63 of Science Networks Cham: Birkhäuser/Spriner Nature Switzerland chapter 5. arXiv.org |
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| 2023 |
Mathematical modernity, goal or problem?
The opposing views of Felix Hausdorff and Hermann Weyl. To
appear in: The Richness of the History and
Philosophy of Mathematics --- For Jeremy
Gray, ed. K.~Chemla; J. Ferreirr\'os;
L. Ji; E. Scholz; Ch. Wang. Springer. arXiv.org |
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| 2020 |
Anmerkungen zur Geschichte der
Kristallographie und der kristallographischen Gruppen. In
E. Brieskorn Klassische Gestalten und moderne
Strukturen in Geometrie und Kristallographie. aus
dem Nachlass herausgegeben von Erhard Scholz,
689-71. Digitale Edition Imaginary
Preprint |
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| 2019 |
Dualität in der graphischen Statik.
Erscheint als Kap. 6 in: K. Volkert et al. (Hrsg.) Dualität
als Archetypus mathematischen Denkens -- klassische
Geometrie und Polyedertheorie. Göttingen,
Cuvillier-Verlag. Preprint |
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| 2019 |
The changing faces of the problem of space
in the work of Hermann Weyl. In J. Bernard, C. Lobo
(eds.) Weyl and the Problem of Space. Berlin
etc.: Springer (in print). arXiv.org |
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| 2018 |
E. Cartan’s attempt at bridge-building
between Einstein and the Cosserats – or how translational
curvature became to be known as torsion. European
Physical Journal History 44, 47--75, arXiv.org. |
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| 2018 |
The unexpected resurgence of Weyl gometry in late 20-th century physics. In D. Rowe, T. Sauer, S. Walter (eds.) Beyond Einstein. Perspectives on Geometry, Gravitation and Cosmology, Basel/Berlin etc., Birkhäuser-Springer, 261–360. arxiv.org | |
| 2018 |
Weyl’s search for a difference between
‘physical’ and ’mathematical’ automorphisms. Studies
in History and Philosophy of Modern Physics 61,
57–67. arxiv.org |
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| 2016 |
The problem of space in the light of relativity: the views of H. Weyl and E. Cartan. In L. Bioesmat-Martagon (Ed.): Eléments d'une biographie de l'espace mathématique. Nancy: Presse Universitaire de Nancy, 255–312 Preprint arxiv.org | |
| 2012 |
Leibnizian traces in H.
Weyl's Philosophie der Mathematik und
Naturwissenschaften. In R. Krömer, Y Chin Drian
(eds.) New Essayson
Leibniz Reception. Basel: Birkhäuser, 203--216. Preprint |
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| 2011 |
Mathematische Physik bei
Hermann Weyl -- zwischen 'Hegelscher Physik' und
'symbolischer Konstruktion der Wirklichkeit'. In K.-H.
Schlote, M. Schneider (eds.): Mathematics meets physics - General and local
aspects/Mathematik und Physik in Wechselbeziehungen.
Frankfurt/M 2011, 183-212. Preprint |
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| 2011 |
H. Weyl's and E. Cartan's
proposals for infinitesimal geometry in the early
1920s. Boletim
da Sociedada Portuguesa de Matemática (Número Especial A. da Mira Fernandes,
225-245. Reprint in Newsletter European Mathematical Society84: 2012, 22–30. Preprint |
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| 2008 |
Hausdorff Blick auf die
entstehende algebraische Topologie . In F. Hausdorff Gesammelte
Werke, III. Berlin etc: Springer (2008),
865--892. Preprint |
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| 2006 |
Introducing
groups into quantum mechanics. Historia Mathematica 33 (2006),
440-490.
Preprint arxiv.org |
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| 2006 |
Practice-related symbolic
realism in H. Weyl's mature view of mathematical
knowledge. In: J. Ferreiros, J. Gray
(eds.), The Architecture of Modern
Mathematics ... Oxford 2006, 291-310. Preprint |
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| 2005 |
Curved spaces: Mathematics
and empirical evidence, ca. 1830 -- 1923. Oberwolfach Reports
2 (4),
3195--3198. Preprint |
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| 2005 |
Local spinor structures in
V. Fock's and H. Weyl's work on the Dirac equation (1929).
In D. Flament e.a. (eds.) Géométrie au vingtième siècle, 1930-2000.
Paris: Hermann (2005), 284-301 (preprint version).
Preprint arxiv.org |
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| 2004 |
C.F. Gauß' Präzisionsmessungen terrestrischer Dreiecke und seine Überlegungen zur empirischen Fundierung der Geometrie in den 1820er Jahren. In: Folkerts, M. e.a. (eds.) Form, Zahl, Ordnung ... Stuttgart:Steiner (2004), 355-380. Preprint arxiv.org | |
| 2004 |
Hermann
Weyl's
analysis of the ``problem of space'' and the origin of
gauge structures. Science in Context 17 (2004), 165-197.
Preprint |
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| 1999 |
The concept of manifold, 1850--1950.
In I.M. James (ed.): History of Topology.
Amsterdam: Elsevier, 25–64. |
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| 1989 |
Symmetriekonzepte der
Kristallographie und ihre Beziheung zur Algebra des 19.
Jahrhunderts. In E. Scholz, Symmetrie, Gruppe,
Dualität, ... Basel etc. Birkhäuser, Kap
I+Anhang |
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Weyl geometric gravity |
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| 2020 |
Matveev/Scholz. Light cone and Weyl
compatibility of conformal and projective structures. General
Relativity and Gravitation 52 (66), open
access. |
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| 2020 |
A scalar field inducing a non-metrical
contribution to gravitational acceleration and a
compatible add-on to light de ection. General
Relativity and Gravitation 52 (46), open
access. |
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| 2017 |
Paving the way for transitions – a case for
Weyl geometry. In D.Lehmkuhl, G. Schiemann, E. Scholz (eds.) Towards a Theory of Spacetime Theories, Basel/Berlin etc., Birkhäuser-Springer, 171–224. arxiv.org |
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| Modelling epidemics |
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| 2022 |
M. Kreck, E. Scholz. Back to the
roots: A discrete Kermack-McKendrick model adapated to
Covid-19. Submitted. Bulletin of Mathematical Biology
, open
access arXiv.org |
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| 2022 |
H. Lehrach, J. Curtis, L. Ogilvie, M.
Kreck, E. Scholz et al. Proposal of a population wide genome‑based testing for Covid‑19. Scientific Reports. open access |
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| 2021 |
M. Kreck, E. Scholz. Studying the
course of Covid-19 by a recursive delay approach. arXiv:2101.08660 medRxiv |
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| 2020 |
M. Kreck, E. Scholz. Proposal of a
recursive compartment model of epidemics and applications
to the Covid-19 pandemic. arXiv:2009.00308
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Non-specialized
articles/Allgemein
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| 2021 |
M. Kreck, E. Scholz. Nur einen Tag!
Eine effektive Eindämmung von Covid 19? (hier) |
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| 2018 |
Mesokosmos. In W.-F. Haug, F. Haug, P.
Jehle, W. Küttler (Hrsg.) Historisch-Kritisches
Wörterbuch des Marxismus. Bd. 9/I Maschinerie
bis Mitbestimmung. Berlin, Argument Verlag, 647–657. |
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| 2018 |
A. Vogt unter Mitarbeit von E.
Scholz: Mathematische Manuskripte [von Karl Marx].
In W.-F. Haug, F. Haug, P. Jehle, W. Küttler (Hrsg.) Historisch-Kritisches
Wörterbuch des Marxismus. Bd. 9/I Maschinerie
bis Mitbestimmung. Berlin, Argument Verlag, 331–341. |
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| Jul 2006 |
Die Gödelschen Unvollständigkeitssätze und das Hilbertsche Programm einer ``finiten'' Beweistheorie. In W. Altner e.a. (Hrsg.) Künstliche Intelligenz und menschliche Person, Marburg 2006, 15-38. Preprint | |
| Feb 2006 | G.W. Leibniz als
Mathematiker. Preprint |
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| Mar 2005 | Hermann Weyl
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| Mar 2005 | Felix Hausdorff., EMS Newsletter March 2005 | |
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