Prof. Dr. Swanhild Bernstein

Education and academic career:

• 1987
  Diplom degree in mathematics at the Chemnitz University of Technology, Germany
  
  

• 1993
  Doctorate (Dr. rer. nat.) at the Freiberg University of Mining and Technology (TU Bergakademie Freiberg), Germany
  
  

• 2001
  Habilitation (postdoctoral qualification, Dr. rer. nat. habil.) at the TU Bergakademie Freiberg
  
  

• 2003
  Second Habilitation and private lecturer appointment at the Bauhaus University, Weimar, Germany
  
  

• 2005
  Private lecturer appointment at the TU Bergakademie Freiberg
  
  

• 2013
  Professor by special appointment in harmonic analysis and its applications at the TU Bergakademie Freiberg
  
  

Research career:

• 1988 – 1998
  Research associate in the Faculty of Mathematics at the TU Bergakademie Freiberg
  
  

• 1998 – 1999
  Research fellow at the Department of Mathematics at the University of Arkansas at Fayetteville, USA
  
  

• 1999 – 2002
  Research associate in the Collaborative Research Centre SFB 524 (Materials and Structures in the Revitalisation of Buildings) at the Bauhaus University, Weimar
  
  

• 2003 – 2004
  Research associate under the chair for mathematical optimisation at Bauhaus University, Weimar
  
  

• 2003 – 2005
  Research associate in the Department of Mathematical Geology and Geoinformatics at the TU Bergakademie Freiberg
  
  

• 2004 – 2005
  Winter semester, visiting professor of mathematics in the Faculty of Media at Bauhaus University, Weimar
  
  

• 2005 – 2013
  Private lecturer in the Department of Applied Analysis at the TU Bergakademie Freiberg
  
  

• since 2013
  Professor by special appointment in harmonic analysis and its applications at the TU Bergakademie Freiberg
  
  

• B. Heise, M. Reinhardt, S.E. Schausberger, S. Häuser, S. Bernstein, D. Stifter: Fourier Plane Filtering Revisited-Analogies in Optics and Mathematics. Sampling Theory in Signal and Image Processing 13(3), 2014, pp. 231-248.

• S. Bernstein, S. Ebert: Wavelets on S3 and SO(3) – Their construction, relation to each other and Radon transform of wavelets on SO(3). Math. Meth. Appl. Sci. 33(16), 2010, pp. 1895-1909.

• S. Bernstein, R. Hielscher, H. Schaeben: The generalized spherical Radon transform and its application in texture analysis, Mathematical Methods in the Applied Sciences 32, 2009, pp. 379-394.

• S. Bernstein, I. Pesenson: Radon transform on SO(3): Motivations, generalizations, discretization. In: Eric Todd Quinto, Fulton Gonzalez and Jens Gerlach Christensen (eds.): Geometric Analysis and Integral Geometry, CONM 598, pp. 77-96, 2013, DOI: http://dx.doi.org/10.1090/conm/598.

• S. Bernstein, I.Z. Pesenson: Generalized splines for Radon transform on compact Lie groups with applications to crystallography. Journal of Fourier Analysis and Applications 19(1), 2013, pp. 140-166.

• S. Bernstein, J.-L. Bouchot, M. Reinhardt, B. Heise: Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications. In: E. Hitzer, S.J. Sangwine (eds.): Quaternion and Clifford Fourier Transforms and Wavelets. Trends in Mathematics (TIM) 27, Birkhäuser, Basel, 2013, pp. 221-246.

• S. Bernstein, R. Hielscher, H. Schaeben: The generalized spherical Radon transform and its application in texture analysis. Mathematical Methods in the Applied Sciences 32, 2009, pp. 379-394.

Active in academic governance

• Member of the senate at the Freiberg University of Mining and Technology (TU Bergakademie Freiberg), since 2015

• Member of the rector's committee on gender equality at the TU Bergakademie Freiberg, since 2011

• Member of the extended academic senate at the TU Bergakademie Freiberg, since 2009

• Equal opportunity officer and member of the faculty council for the Faculty of Mathematics and Informatics at the TU Bergakademie Freiberg, since 2007

• Member of the TU Bergakademie Freiberg academic council, 1994–1998

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