Veröffentlichungen / Publications

Abitur und Fachhochschulreife: Mathematik

Eine kommentierte Formelsammlung mit Anwendungsbeispielen

Shaker Verlag, Düren 2025
172 Seiten, 90 Abbildungen
Details zum Buch

Von der Teilbarkeit zum RSA-Verfahren

Grundlagen der Zahlentheorie

(From Divisibility to RSA cryptosystems)

Lecture Notes, 47+ii pp
pdf (German)

Grundlagen der Kartographie

(Elementary Cartography)

Textbook
(German) - in progress

Grundlagen der Analysis: Ein dreisemestriger Kurs

(Elementary Analysis: A Three-Term Course)

Lecture notes, 343 pp
pdf (German)

Differential­geometrie I: Kurven und Flächen

(Differential Geometry I: Curves and Surfaces)

Lecture notes, 130 pp
pdf (German)

Mathematischer Vorkurs

(Preliminary course in mathematics)

Lecture notes, 105 pp
pdf (German)

Lineare Algebra auf Räumen mit antikommutierenden Koeffizienten

(Linear algebra on spaces with anti-commuting coefficients)

Lecture notes, 29 pp
pdf (German)

The Kontsevitch quantization formula

Notes from a lecture given at a joint seminar of the groups Differential Geometry and Theoretical Physics III, TU Dortmund
Lecture notes, 14pp
pdf

Material für den Mathematik- und Physikunterricht

(Teaching material for math and physics classes)

here (German)

Nützliche Eigenschaften von Möbius­transformationen

(Useful properties of Möbius transformations)

pdf (German), 5 pp

Über die Eigenschaft \(\scriptstyle (AB)^+ = B^+A^+\) der Moore-Penrose-Inverse

(On a property of the Moore-Penrose Inverse)

pdf (German) , 5 pp

Spurfreie Matrizen als Kommutatoren

(Trace free matrices as commutators)

pdf (German) , 9 pp

Die Gaußsche Gerade

(The Gauß line)

pdf (German) , 4 pp

Ein effizientes Verfahren zur simultanen Berechnung einer Basis von Summe und Schnitt zweier Vektorräume

(An efficient way to calculate a basis of sum and intersection of two vector spaces)

pdf (German) , 4 pp

Approximation of D.I.Y. water rocket dynamics including air drag

Int. J. of Sci. Research in Mathematical and Statistical Sciences 6 (2019) no. 6, 1-13
Journal or arXiv

On the characterization of the degree of interpolation polynomials in terms of certain combinatorical matrices

Arab. J. Math. 8 (2019) no. 1, 55-62
Journal or arXiv

On the regularity of matrices with uniform polynomial entries

São Paulo J. Math. Sci. 13 (2019) no. 1, 370-379
Journal or arXiv

The general non-symmetric, unbalanced star circuit: On the geometrization of problems in electrical measurement

Math. Semesterber. 64 (2017) no. 1, 25-39
Journal or arXiv

An explicit description of SL(2,C) in terms of SO⁺(3,1) and vice versa

Int. Electron. J. Geom. 8 (2015) no. 1, 94-104
Journal or arXiv

Eleven-dimensional symmetric supergravity backgrounds, their geometric superalgebras, and a common reduction

Bulg. J. Phys. 41 (2014) no. 2, 130-141
Journal or arXiv

A family of non-restricted D=11 geometric supersymmetries

J. Geom. Phys. 86 (2014) 534-553
Journal or arXiv

Connections on Cahen-Wallach spaces

Adv. Appl. Clifford Algebr. 24 (2014) no. 3, 737-768
Journal or arXiv

Ein optimiertes Glättungs­verfahren motiviert durch eine technische Fragestellung

(An optimized smoothing method motivated by a technical problem)

Math. Semesterber. 59 (2012) no. 1, 29-55, German
Journal or arXiv

Generalized duality for k-forms

J. Geom. Phys. 61 (2011) no. 12, 2293-2308
Journal or arXiv

Exponential Moving Average versus Moving Exponential Average

Math. Semesterber. 58 (2011) no. 1, 97-107
Journal or arXiv

Polynomial poly-vector fields

Int. Electron. J. Geom. 2 (2009) no. 1, 55-73
Journal or arXiv

SUSY structures on deformed supermanifolds

Differential Geom. Appl. 26 (2008) no. 5, 566-582
Journal or arXiv

The decomposition of the spinor bundle of Grassmann manifolds

J. Math. Phys. 48 (2007) no. 11, 113511, 26 pp
Journal or arXiv

The torsion of spinor connections and related structures

SIGMA, Symmetry Integrability Geom. Methods Appl. 2 (2006) Paper 077, 28 pp
Journal or arXiv

Supersymmetric Killing structures

Comm. Math. Phys., 255 (2005) no. 2, 419-467
Journal or arXiv

Supersymmetric extensions of solvable Lorentzian symmetric spaces

Habilitation thesis

TU Dortmund University, 2013

Supersymmetric Killing structures

Doctoral thesis

Leipzig University, 2003
DNB entry

Zusammenhänge auf Prinzipalbündeln und Instantonen auf S⁴

(Connections on Principal Bundles and Instantons on S⁴)

Diploma thesis

University of Osnabrück, 2000
pdf (German)

Die Keplersche Fassregel und Numerische Quadratur­verfahren

(Kepler's barrel rule and numerical quadrature)

2010, 28 pp
pdf (German)

A preprint of sections 1+2 has been published in Mathematik-Seminar des Freistaates Sachsen, Heft Sayda, Leipzig, 2001.

Quadratic Poisson structures in dimension four

Appendix to "Polynomial poly-vector fields"
2008, 22 pp
pdf

Appendix to "Polynomial poly-vector fields"

The signs

2003, 4 pp
pdf

Appendix to "Supersymmetric Killing structures"

The spinor bundle of Riemannian products

2002, 7 pp
arXiv:math.DG/0212058