Bernhard Heim


Prof. Dr. Bernhard Heim
Professor and Head of Department
Department of Mathematics and Sciences

GUtech, PO Box 1816, Athaibah PC 130, Muscat, Sultanate of Oman. Room: 441 S
+968 2206 1130 (office)

Short biogaphy:

1997 PhD Mathematics. Max-Planck-Institute for Mathematics MPIM in Bonn. Strategic consultant, Project Manager, HoD at the German Railway company. Received Research Scholar Ships from the MPI society and DFG. After Habilitation, joint 2009 GUtech. Founder and (HoD) Mathematics and Science Department. Since 2012 Dean of the Faculty of Sciences. Internationally recognized researcher (publications, conferences, invited speaker, member of review panels). Specialist: Automorphic Forms, applications in statistics, physics, engineering. Invented a new teaching concept tailored for the Middle East.…

  • PhD , Mathematics, University of Mannheim, Germany, 1997.
  • All Undergraduate Mathematics Courses
  • Advanced Algebra, Function Theory, Number Theory for Graduates in Mathematics
  • Project Management
  • Special Courses on Demand

Research Areas

  • Mathematics
  • Education
  • Symmetries in Sciences
  • Research in Leadership

Research Projects

  • Project title: Symmetries and Borcherds Lifts
    Period: 07/2017–08/2017
    Role: Principle Investigator
    Funded by:
    Porject description:

    Outcome: 4 papers submitted. One is already accepted.

  • Project title: Symmetries and the Maass Spezialschar of Level N
    Period: 07/2016–08/2016
    Role: Principle Investigator
    Funded by: RWTH Aachen
    Porject description:

    The author was invited by the RWTH Aachen to work on this project and introduce graduate students into the topic.
    During his stay he also gave a presentation on the results of the research. During the the result had been put in a paper and submitted to
    a peer reviewed journal. Title of the paper: Maass Spezialchar of Level N.

  • Project title: Borcherds Lifts, Symmetries and the Andre-Oort Conjecture
    Period: 02/2016–02/2016
    Role: Principle Investigator
    Funded by: Max-Planck-Society
    Porject description:

    Heim-Kaiser - Murase 022016

    In a joint project with Prof. Dr. Murase (Japan, Kyoto) and Dr. Kaiser (MPIM Bonn) we prove that only one symmetry is needed to characterize the famous modular equation.

  • Project title: Computer-Based Analysis of the Stochastic Stability of Mechanic Structures Driven by White and Colored Noise
    Period: 04/2015–03/2017
    Role: Co-principle Investigator
    Funded by: The Research Council of Oman (TRC)


Peer Reviewed Journals
  • Heim, B. (2018). Hecke’s Modular Forms by Functional Equations. International Journal of Number Theory .
  • Heim, B., Joosten, M., von Richthofen, A., Rupp, F. (2018). On the Process and Economics of Land Settlement in Oman: Mathematical Modelling and Reasoning in Urban Planning and Design. Ranked . (Submitted)
  • Heim, B. (2017). Maass Spezialschar of level N. Abhandlungen Math. Semin. Univ. Hamburg , 87 , 181–195.
  • Heim,B., Neuhauser, M., Rupp, F. (2017). Fourier coefficients of powers of the Dedekind eta function. Ramanujan Journal .
  • Heim, B., Luca, F., Neuhauser, M. (2017). On Cyclotomic Factors of Polynomials Related to Modular forms. Ranked . (Submitted)
  • Gallenkaemper, J., Heim, B., Krieg, A. (2016). The Maass Space and Hecke operators. International Journal of Mathematics .
  • Heim, B. (2016). A New Type of Functional Equations of Euler Products. Leutbecher Festschrift, selected research articles, peer reviewed .
  • Gallenkaemper, J., Heim, B., Kreuzer, J., Rupp, F., von Stockhausen, P., Viet, N. (2015). Kaizen teaching and the learning habits of engineering students in a freshman mathematics course. Central Journal of Operational Research .
Conference Papers
  • Heim, B., Reisdorf, T., Rupp, F. (2017). Significant Enhancement in Higher Education: GUtech’s Teaching Approach, in Proceedings of OQNHE Conference 2017, Quality Management & Enhancement in Higher Education, Muscat, 21/03/2017.
  • Bauer, W., Bernecker, M., Heim, B., Holzbecher, E., Visser, W. (2016). Designing and Implementing Applied Geosciences Bachelor and Master Programs Tailored for the Gulf Region, in Proceedings of GEO 2016, Bahrain, 8.03 - 10.03.2016.
Other Articles
  • Al Salmi, A., Heim, B., Rupp, F. (2015). Tamayouz: Race for Excellence, GUtech: Faculty of Sciences.
Published Books

Trainings taken
  • Digital Personalized Assessments with the LMS Moodle Moodle, 10/10/2017 – 10/10/2017, Faculty of Science, German University of Technology in Oman.