Dr. Peter Zeiner (Head of Department)



Peter Zeiner

Current Position

Associate Professor

Administrative PositionHead of Department

Room No.



Mathematics and Applied Mathematics


+603-8705 5173




Peter Zeiner was born in Vienna (Austria), where he studied physics at TU Vienna. In 1998, he obtained his PhD in physics from TU Vienna and afterwards worked as  post-doc at the Institute of Theoretical Physics at the University of Nijmegen (The Netherlands). In 2005, he moved to Bielefeld University (Germany), where he spent more than a decade at the Faculty of Mathematics, where he got his habilitation in mathematics in 2015. Since 2018, he is Associate Professor at XMUM.



Mathematical Crystallography, Aperiodic Order, Number Theory, Algebra



  • Habilitation (Mathematics), Faculty of Mathematics, Bielefeld University, Germany (2015)

  • PhD (Physics), Institute of Theoretical Physics, Vienna University of Technology, Austria (1998)

  • Diploma Degree (equivalent to Master in Physics), Vienna University of Technology, Austria (1994)


  • Associate Professor, Department of Mathematics, Xiamen University Malaysia, Malaysia (2018-present).

  • Research Associate, Faculty of Mathematics, Bielefeld University, Germany (2005-2017).

  • Postdoctoral Research Fellow,  Institute of Theoretical Physics, Vienna University of Technology, Austria (2001-2005).

  • Postdoctoral Research Fellow, Institute of Theoretical Physics, Nijmegen University, The Netherlands (1999-2001).



  • FRGS grant, Ministry of Higher Education Malaysia (Grant no: FRGS/1/2020/STG06/XMU/02/1), RM 76,200 (2020-2023)

  • Xiamen University Malaysia Research Fund (Grant no: XMUMRF/2019-C3/IMAT/0009), RM 30,000 (2019-2024). 

  • APART-Stipendium (research grant) of the Austrian Academy of Science (2002-2005).

  • Schrödinger-Stipendium (postdoctoral grant) of the Austrian Science Foundation (1999-2000).



  • M. Baake and P. Zeiner. Geometric enumeration problems for lattices and embedded Z-modules. In M. Baake and U. Grimm, editors, Aperiodic Order. Vol. 2: Crystallography and Almost Periodicity, pages 73–172. Cambridge University Press, Cambridge, 2017. arXiv:1709.07317 [math.MG].

  • P. Zeiner. Coincidence site lattices and coincidence site modules. Habilitation thesis, 2015.

  • M.J. Loquias and P. Zeiner. Coincidence indices of sublattices and coincidences of colorings. Z. Krist., 230:749–759, 2015. arXiv:1506.00028 [math.MG].

  • M. Baake, R. Scharlau, and P. Zeiner. Well-rounded sublattices of planar lattices. Acta Arithmetica, 166.4:301–334, 2014. arXiv:1311.6306 [math.NT].

  • M.J. Loquias and P. Zeiner. The coincidence problem for shifted lattices and crystallographic point packings. Acta Cryst.A 70:656–669, 2014. arXiv:1301.3689 [math.MG].

  • M. Baake, R. Scharlau, and P. Zeiner. Similar sublattices of planar lattices. Canad. J. Math., 63:1220–1237, 2011. arXiv:0908.2558v1 [math.MG].

  • M. Baake, M. Heuer, U. Grimm, and P. Zeiner. Coincidence rotations of the root lattice A4. Europ. J. Combinatorics, 29:1808–1819, 2008. arXiv:0709.1341[math.MG].

  • P. Zeiner. Coincidences of hypercubic lattices in 4 dimensions. Z. Kristallogr., 221:105–114, 2006. arXiv:math/0605526.

  • P. Zeiner. Symmetries of coincidence site lattices of cubic lattices. Z. Kristallogr., 220:915–925, 2005. arXiv:math/0605525.

  • P. Zeiner and T. Janssen. Notes on the normalizer of a finite subgroup of GL(n, d,Z) in GL(n, d, Z). Acta Cryst.A 57:256–263, 2001.

  • P. Zeiner, R. Dirl, and B.L. Davies. Complete sets of Bloch and Wannier functions related to oscillator eigenfunctions. J. Math. Phys., 40:2757–2781, 1999.

  • P. Zeiner, R. Dirl, and B.L. Davies. Gauss, Wannier and ultralocalized functions. Phys. Rev. B, 58:7681–7688, 1998.

  • B.L. Davies, R. Dirl, P. Zeiner, and V. Janovec. Space group double coset decompositions: Applications to domain structure analysis. Acta Cryst.A 53:456–466, 1997.

  • P. Zeiner, R. Dirl, and B.L. Davies. Non–linear Berry phases for simple band representations: Bloch and Wannier functions composed of Gaussian orbitals. Phys. Rev. B, 54:16646–16653, 1996.

MAT Faculty CV

A Glance at XMUM