Curriculum Vitae.

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Personal Data.

Name and family name: Gerard Ascensi Sala.
Gender: Male.
Place and date of birth: La Seu d’Urgell, June 1, 1979.
Home address: Strudlhofgasse 15 2 A-1090 Wien (Austria).
Telephone number: (+43) 650 4800 472
Professional address: Nordbergstrasse 15, A-1090 Wien (Austria).
Telephone number: +43 (1) 4277 / 50738.
E-mail: gerard.ascensi(:p)univie.ac.at

Academic Data.

  • Graduate Degree in Mathematics, Universitat Autònoma de Barcelona (UAB), June 2001.
  • Master Degree in Mathematics, UAB, July 2004.
  • Ph. Degree in Mathematics, UAB, July 2007.
    • Title: Generadors de Lp(R) amb translacions en temps i freqüència.
    • Supervisor: Joaquim Bruna.
    • Qualification: Cum Laude.

Fellowships and positions held.

  • Assistant professor (part-time) at the UAB (from September 2001 to January 2002)
  • Predoctoral Research Fellow of the “Departament de Matemàtiques” at the UAB (from February 2002 to May 2003).
  • Predoctoral Research Fellow “FPI” at the UAB (from June 2003 to May 2007).
  • Reserch possition at the UAB (from June 2007 to September 2007).
  • Postdoctoral Fellow of the “Fundació Ferran Sunyer i Balaguer” at the Norwegian University of Science and Technology (from October 2007 to November 2007).
  • Postdoctoral Fellow of the “Fundació Credit Andorrà” at the University of Vienna (from December 2007 to August 2009).
  • Postdoctoral Research possition "Lise Meitner" of the Austrian Science Foundation at the University of Vienna (from September 2009).

Publications and other outcomes of research work.

  • Gerard Ascensi, Introducció a les bases d'Ondetes i de Gabor en xarxes no regulars. Master Thesis (2004).
  • Gerard Ascensi, Generadors de Lp(R) amb translacions en temps i freqüència. PhD Thesis (2007).
  • Gerard Ascensi and Gitta Kutyniok, Accumulative density. Wavelets XI, SPIE Proc. 5914 (2005).
  • Gerard Ascensi and Joaquim Bruna, Poisson type generator for L1(R). t. of Fourier Anal. and Appl., Volume 15, Number 4 / August, 2009.
  • Gerard Ascensi, Yurii Lyubarskii and Kristian Seip, Phase space distribution of Gabor expansions. Appl. Comput. Harmon. Anal. Vol. 26 Issue 2, 277-282 (2009).
  • Gerard Ascensi and Joaquim Bruna, Model space results for the Gabor and Wavelet transforms. IEEE Trans. Inform. Theory Volume 55, Issue 5, May 2009 Page(s):2250 - 2259.
  • Gerard Ascensi, On aproximations by shifts of the Gaussian function. preprint, submitted 2008.

Predoctoral research stays.

  • Georgia Institute of Technology. Atlanta (EEUU), January 10-April 29, 2005.
  • Nuhag, Universität Wien. Vienna (Austria), May 8-June 30, 2005 in the Time-Frequency special semester.

Research stays.

  • Norwegian University of Science and Technology. Trondheim (Norway), November 2009.
  • Norwegian University of Science and Technology. Trondheim (Norway), January - February 2010.

Participation in conferences and courses.

  • Trobada de la Societat Catalana de Matemàtiques, Barcelona 2003. Poster: Bases d’Ondetes no regulars.
  • Encuentros de Análisis Real y Complejo, Cuenca, from 5 to 7 of May de 2005. Talk: Marcos de Ondículas y de Gabor en redes no regulares.
  • Journes complexes du sud, CIRM Marseille, from 2 to 4 of May de 2008. Talk: Generating properties of the Gaussian function and zeros of the Fock space.
  • Trends in Harmonic Analysis, Strobl (Austria), from 7 to 11 of July of 2008. Talk: Generating properties of the Gaussian function.

Talks in seminars.

  • Generators of Lp(R) by translations. NTNU Analysis Seminar, Trondheim (Norway) October 18, 2007.
  • Generators of Lp(R) by translations on time and frequency. IK Seminar, NUHAG, University of Vienna (Austria) January 12, 2008.
  • Sobre el problema de Kadison–Singer. Barcelona Analysi Seminar, Universtitat de Barcelona (Spain) June 9, 2008.
  • Generations by translations of Lp(R). Complex Analysi Seminar, Vienna (Austria) June 17–24, 2008.
  • Sampling and interpolation in model space for the Gabor and the wavelet transforms. NTNU Analysis Seminar, Trondheim (Norway) November 16, 2009.
  • Redundancy for localized frames. IK Seminar, NUHAG, University of Vienna (Austria) December 9, 2009.
  • Dilation of the Weyl symbol and Balian-Low theorem. NTNU Analysis Seminar, Trondheim (Norway) February 15, 2010.

Reaserch projects.

  • Titel: Teoría geométrica de funciones y fundamentos matmáticos de la digitalización de señales.
    Project Leader: Joaquim Bruna.
    Sponsor: Ministerio de Educación y Ciencia.
    Hosting institution: Universitat Autònoma de Barcelona.
    From 2002 to 2004.
  • Titel: Teoría geométrica de funciones y fundamentos matmáticos del tratamiento del señal.
    Project Leader: Joaquim Bruna.
    Sponsor: Ministerio de Educación y Ciencia.
    Hosting institution: Universitat Autònoma de Barcelona.
    From 2005 to 2007.
  • Titel: Diversos aspectos de la teoría de funciones y aplicaciones.
    Project Leader: Joan Josep Carmona.
    Sponsor: Ministerio de Educación y Ciencia.
    Hosting institution: Universitat Autònoma de Barcelona.
    From 2007 to 2010.
  • Titel: Time-Frequency generating systems using model space methods.
    Project Leader: Gerard Ascensi.
    Sponsor: Austrian Science Foundation.
    Hosting institution: NuHAG, Wien Universität.
    From 2009 to 2011.
Numerical Harmonic
Analysis Group
Faculty of Mathematics
UNIVERSITY of VIENNA

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A-1090 Wien, AUSTRIA