Peter Zeiner

Research Group Michael Baake

Fakultät für Mathematik
Universität Bielefeld
for letters:Postfach 100131
33501 Bielefeld, GERMANY
for parcels:Universitätsstraße 25
33615 Bielefeld, GERMANY

Telephone:+49 521 106 3844
Fax:+49 521 106 6481


SoSe 2017:
Proseminar Algebraische Kombinatorik

WS 2016/17:
Diskrete Mathematik

SoSe 2016:
Mathematik II für Chemie

WS 2015/16:
Mathematik I für Chemie

WS 2014/15:
Diskrete Mathematik

SoSe 2014:
Proseminar Ausgewählte Kapitel der Linearen Algebra

WS 2013/14:
Elementare Zahlentheorie

SoSe 2013:
Analytische Zahlentheorie

WS 2012/13:
Proseminar Ausgewählte Kapitel der Linearen Algebra

Research Areas

Coincidence Site Lattices, Incommensurate Structures, Symmetries of periodic and aperiodic structures, Group Theory and Representation Theory

Recent Publications

(with M. Baake) Geometric enumeration problems for lattices and embedded $\mathbf{Z}$-modules, to appear in Aperiodic Order. Vol. 2: Crystallography and Almost Periodicity (eds: M. Baake and U. Grimm) 2017, 73-172. arXiv:1709.07317 [math.MG]

Coincidence site lattices and coincidence site modules, Habilitation thesis (2015)

(with M.J. Loquias) Coincidence indices of sublattices and coincidences of colorings, Z. Krist. 230 (2015), 749-759; arXiv:1506.00028 [math.MG]

Similar submodules and coincidence site modules, Acta Physica Polonica 126 (2014), 641-645; arXiv:1402.5013[math.MG]

(with M. Baake and R. Scharlau) Well-rounded sublattices of planar lattices, Acta Arithmetica 166.4 (2014), 301-334; arXiv:1311.6306 [math.NT]

(with M.J. Loquias) The coincidence problem for shifted lattices and crystallographic point packings, Acta Cryst. A 70 (2014), 656-669; arXiv:1301.3689 [math.MG]

Well-rounded sublattices and coincidence site lattices, in Aperiodic Crystals (eds.: S. Schmid, R.L. Withers and R. Lifshitz), 43-48 (2013), Dordrecht, Springer; arXiv:1210.0571 [math.MG]

(with M. Baake and R. Scharlau) Similar sublattices of planar lattices, Canad. J. Math. 63 (2011), 1220-1237; arXiv:0908.2558 [math.MG]

(with M.J. Loquias) Colourings of lattices and coincidence site lattices, Phil. Mag. 91 (2011), 2680-2689; arXiv:1011.1001 [math.MG]

(with M.J. Loquias) Coincidence isometries of a shifted square lattice, J. Phys.: Conf. Ser. 226 (2010), 012026; arXiv:1002.0519 [math.MG]

Multiplicativity in the theory of coincidence site lattices, J. Phys.: Conf. Ser. 226 (2010), 012025 arXiv:1212.4528 [math.MG]

(with M. Heuer) CSLs of the root lattice $A_4$, J. Phys.: Conf. Ser. 226 (2010), 012024; arXiv:1301.2001 [math.MG]

(with M. Baake) Coincidences in 4 dimensions, Phil. Mag. 88 (2008), 2025-2032; arXiv:0712.0363[math.MG]

(with M. Baake, U. Grimm and M. Heuer) Coincidence rotations of the root lattice $A_4$, Europ. J. Combinatorics 29 (2008), 1808-1819 arXiv:0709.1341 [math.MG]

(with M. Baake) Multiple coincidences in dimensions $d\leq 3$, Phil. Mag. 87 (2007), 2869-2876.

Multiple CSLs for the body centered cubic lattice, J. Phys.: Conf. Ser. 30 (2006), 163-167; arXiv:math/0605521

Coincidences of hypercubic lattices in 4 dimensions, Z. Kristallogr. 221 (2006), 105-114; arXiv:math/0605526

Symmetries of coincidence site lattices of cubic lattices, Z. Kristallogr. 220 (2005), 915-925; arXiv:math/0605525