Milton Ferreira

Homepage of Milton Ferreira

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Assistant Professor
Departament of Mathematics
School of Technology and Management
Polytechnic Institute of Leiria
Campus 2 - Morro do Lena - Alto do Vieiro
Apartado 4163
2411-901 Leiria
PORTUGAL

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Contacts:
E-mails: milton.ferreira--at--ipleiria.pt ; mferreira--at--ua.pt
Phone: + 351 244843397

Internal mailbox: A-167
Internal Phone Extension: 203216
Office: Building A - G.O. 1-29

Teaching:

Mathematical Analysis (Winter Semester)
Applied Mathematics (Summer Semester)

Research Areas:

Wavelet Analysis, Harmonic Analysis, Frame theory;
Clifford Analysis;
Gyrogroups.

Personal data:

Name: Milton dos Santos Ferreira
Birthplace: Caracas, Venezuela [1980]
Nationality: Portuguese
Current position: Assistant Professor at the School of Technology and Management at the Polytechnic Institute of Leiria, Portugal [May, 2010 until now]

Academic degrees, fields of study, awarding institutions:

PhD (Mathematics), Thesis: Continuous Wavelet Transforms on the Unit Sphere, supervised by Prof. Dr. Uwe Kähler and Prof. Dr. Paula Cerejeiras), Universidade de Aveiro , Portugal [Jan., 2008].
Graduation in Mathematics, Universidade de Aveiro, Portugal [June, 2003].

Previous positions, institutions:

Invited Assistant Professor, Department of Mathematics, School of Technology and Management, Polytechnic Institute of Leiria, 01/03/08 to 13/05/09.
Invited Teaching Assistant, Department of Mathematics, School of Technology and Management, Polytechnic Institute of Leiria, 01/10/07 to 29/02/08.
Junior Teaching Assistant, Department of Mathematics, University of Aveiro, 13.09.04 to 29.07.05.
Junior Teaching Assistant, Department of Mathematics, University of Aveiro, 22.09.03 to 30.07.04.

Membership of research units:

Member of the research group Complex and Hypercomplex Analysis, of Centro de Investigação e Desenvolvimento em Matemática e Aplicações - CIDMA, from Sep. 2010 until July 2013.
Member of the research group Complex and Hypercomplex Analysis, of UIMA – Unidade de Investigação em Matemática e Aplicações, from 2004 until 2009.

Projects:

“MITO – Módulos Interativos de Treino Online” – Project of construction of new and innovative educational resources for teaching, DMAT- ESTG/IPL.
“Spherical Radon Transform and Coorbit Theory” – Acções Luso-Alemãs / DAAD-GRICES, (January 2008 - December 2009). Collaboration between University of Aveiro, (by the research unity UIMA of Department of Mathematics) and Konrad-Zuse-Zentrum für Informationstechnik of Berlin, Germany.

Prizes and Grants:

PhD Grant of FCT, ref. SFRH/BD/12 744, 2003 - 2007.
Best student prize, University of Aveiro, 2002.
Best student prize, University of Aveiro, 1999.

Publications:

Papers in Journals and Proceedings of Congress listed in Citation Index (ISI):

Ferreira, M., Sommen, F., Complex boosts: a Hermitian Clifford algebra approach, submitted.
Ferreira, M., Morais, J., 3D deformations by means of monogenic functions, Math. Methods Appl. Sci., accepted.
Cerejeiras, P., Ferreira, M., Kähler, U., Teschke, G., Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery algorithms, Appl. Comput. Harmon. Anal., 31 (3) (2011), 325-345.
Ferreira, M., Ren, G., Möbius gyrogroups: A Clifford algebra approach , J. of Algebra 328 (2011), 230-253.
Ferreira, M., Gyrogroups in Projective Hyperbolic Clifford Analysis, I. Sabadini and F. Sommen (eds.), Hypercomplex Analysis and Applications - Trends in Mathematics, Springer, Basel, (2010), 61-80.
Ferreira, M., Factorizations of Möbius gyrogroups ,Advances in Applied Clifford Algebras 19 (2) (2009), 303-323.
Ferreira, M., Spherical Continuous wavelet transforms arising from sections of the Lorentz group, Appl. Comput. Harmon. Anal. 26 (2009), 212-229.
Ferreira, M., Spherical Wavelet transform,, Advances in Applied Clifford Algebras 18 (2008), 611-619.
Cerejeiras, P., Ferreira, M., Kähler, U., Sommen, F., Continuous wavelet transform and wavelet frames on the sphere using Clifford Analysis, Communications on Pure and Applied Analysis, Vol. 6, no. 3 (2007), 619-641.
Cerejeiras, P., Ferreira, M., Kähler, U., Monogenic wavelets over the unit ball, Journal for Analysis and its Applications 24 (2005), 813-824.

Papers in Journals and Proceedings of Congress with referee not listed in Citation Index (ISI):

Cerejeiras, P., Ferreira, M., Kähler, U. e Vieira, N., “Monogenic Frames for an Integral Transform on the Unit Sphere”, Complex Variables and Elliptic Equations, vol. 51, nº 1, 2006, 51-61.
Cerejeiras, P., Ferreira, M. e Kähler, U. “Clifford Analysis and the Continuous Wavelet Transform”, Wavelet Analysis and Applications Series: Applied and Numerical Harmonic Analysis, Qian, Tao; Vai, Mang; Xu, Yuesheng (Eds.), 173-184, Birkhauser, Basel, 2006.
Cerejeiras, P., Ferreira, M. e Kähler, U. “Frames for the Continuous Spherical Wavelet Transform”, Q. Tao, et al., Proc. of the 4th ICWAAA – Macau 2005, 9pp. Dig. Proc., Macau, 2005.
Cerejeiras, P., Ferreira, M. e Kähler, U. “Clifford Analysis and the Continuous Spherical Wavelet Transform”, Q. Tao et al., Proc. of the 4th ICWAAA – Macau 2005, Dig. Proc., 7 pp, Macau, 2005.
Ferreira, M., “Quaternionic monogenic wavelets over the unit ball”, Proceedings of ICAM – Recent trends of Applied Mathematics based on Partial Differential Equations and Complex Analysis, Hanoi, Vietnam, 2004. Published in L.H. Son, et al., Methods of Complex and Clifford Analysis, 295-305, SAS International Publications, Delhi, 2005.

Thesis:

Ferreira, M., PhD Thesis (in english): Continuous Wavelet Transforms on the Unit Sphere, University of Aveiro (2008) (PhD Advisors: Prof. Dr. Uwe Kähler and Prof. Dr. Paula Cerejeiras).

Scientific visits (with partial or full support) to international institutes:

University of Applied Sciences Neubrandenburg, Germany, invitation of Prof. Dr. Gerd Teschke, 17-25.08.08.
Université Catholique de Louvain, Institut de Physique Théorique, Belgium, invitation of Prof. Dr. Jean Pierre Antoine, 08-27.05.06.
Laboratoire de traitement des signaux, École Polytechnique Fédérale de Lausanne, Switzerland, invitation of Prof. Dr. Pierre Vandergheynst, 01-06.05.06.
European Center of Time and Frequency, University of Vienna, Austria, invitation of Prof. Dr. Hans Feichtinger, 20-23.06.2005.
Technologic University of Tampere, Finland, invitation of Prof. Dra. Sirkka-Liisa Eriksson, 20-23.06.2005.
University of Ghent, Belgium, invitation of Prof. Dr. Frank Sommen, 16.01.05 a 07.02.05.

Communications in Conferences and Workshops:

Gabor Analysis on S3 and its application to the inversion of the one-dimensional Radon transform on the rotation group SO(3), Annual Workshop on Hypercomplex Analysis and Applications, University of Paderborn, Germany, 19-20.02.10.
Factorizations of Möbius gyrogroups – the paravector case, 7th International ISAAC Congress, Imperial College of London, England, 13-18.07.09.
Gabor analysis over the rotation group, 11th European Workshop on Applications and Generalizations of Complex Analysis, University of Coimbra, Portugal, 17-18.04.09.
The inversion of the Radon transform on SO(3) by Gabor frame expansions, Conference on Time Frequency, Strobl, Austria, 14-21.06.09.
Spherical Continuous Wavelet Transforms arising from sections of the Lorentz group, Recent Trends in Harmonic Analysis, Strobl, Austria, 17-23.06.07.
Clifford Analysis and the Spherical Continuous Wavelet Transform, Recent Progress in Wavelet Analysis and Frame Theory, HASSIP Workshop (Harmonic Analysis and Statistics for Signal and Image Processing), University of Bremen, Germany, 23-26.01.06.
Continuous Wavelet transform on the Unit Sphere, 4th ICWAA (International Conference on Wavelet Analysis and its Applications) – Macau 2005, University of Macau, 30.11.05 to 02.12.05.
Wavelet transform on the unit sphere and monogenic frames, 7º ICCA (International Conference on Clifford Algebras and Their Applications), University Paul Sabatier - Toulouse (France), 19-29.05.05.
Wavelets over the unit ball, 7th Annual Workshop on Applications of Complex Analysis, Uiversity of Aveiro - Portugal, 04-05.06.04.
Monogenic wavelets over the unit ball, ICAM – Recent trends of applied Mathematics based on partial differential equations and complex analysis, Hanoi - Vietnam, 25-29 .08.04.