Last update: December, 2016.

1 Biography


Francisco Gómez became Full Professor at Technical University of Madrid in 1994. He started doing research on computational geometry, computer graphics and facility location. In fact, he was one of the founders of Madrid Computational Geometry Group. In 2003 he switched to Music Information Retrieval and Computational Music Theory and has been doing research in this field since then. Francisco Gómez received a Ph.D. in Computer Science from the Technical University of Madrid under the supervision of Godfried Toussaint. The accomplishment of his thesis implied long stays at McGill University. He obtained a M.Sc. in Mathematics from Universidad Autónoma de Madrid.

Dr. Gómez teaches courses on Computer Graphics, Computational Geometry, Statistics and Pattern Recognition, among others.

 

2 Academic Degrees

  • M.Sc. in Mathematics from Universidad Autónoma de Madrid. He obtained a major in Topology and Statistics.
  • Ph.D. in Computer Science from the Technical University of Madrid under the supervision of Godfried Toussaint (from McGill University).
  • Presently, Dr. Gómez is obtaining a degree in music performance from the Royal Society of Music (London). He has already earned a grade 8 in Music Theory and only has two exams left to graduate.

 

3 Positions

  1. School of Computer Science and CIRMMT, McGill University. Visiting Professor from June 2010 to August 2010.
  2. School of Computer Science and CIRMMT, McGill University. Visiting Professor from March 2009 to August 2009.
  3. Affiliate member of The Centre for Interdisciplinary Research in Music Media and Technology, Schulich School of Music, McGill University. Since April 2009.
  4. School of Computer Science, Technical University of Madrid. Full Time Professor since September 2007.
  5. School of Computer Science, McGill University. Visiting Professor from September 2006 to August 2007.
  6. School of Computer Science, Technical University of Madrid. Assistant Professor from November 91 to May 94. Full Professor since June 94.
  7. School of Industrial Engineering, Technical University of Madrid. Associated Professor. From November 89 to October 91.
  8. Accenture (formerly Arthur Andersen Consulting). Programmer and system analyst. From October 88 to October 89.

 

4 Teaching

  • Dr. Gómez uses innovative teaching methods such as inquiry-based teaching. In particular, he has used a collaborative version of the Moore method, Mazur's method for large audiences, and methods based on writing to teach mathematics. In Dr. Gómez classes students teach themselves the material, work in groups carefully formed and are not allowed to use material from external sources. He also takes special of other significant factors in teaching such as student’s self-esteem, emotional atmosphere in class, or student’s study habits.
  • Dr. Gómez, who is also a musician, teaches mathematics by using the arts. His classes normally contain some kind of artistic project.
  • Courses taught at the School of Computer Science, Technical University of Madrid: Algebra, Calculus, Discrete Mathematics, Computational Geometry, Statistics, Research Operations, Animation 3D, Cryptography, Pattern Recognition. 
  • In the school year 2010/11 Dr. Gómez taught Discrete Mathematics in English as part of an innovative program to introduce English in core subjects. Classes were recorded on video and are available on the UPM Youtube chanel; click http://webpgomez.com/index.php?option=com_content&view=article&id=275:class-videos&catid=91:discrete-mathematics&Itemid=221 to access to his classes.
  • As part of his sabatical leave, Dr. Gómez has taught Introduction to Mathematical Modeling for non-math majors by adapting the collaborative Moore method to this specific course.
  • He has also taught in the ATHENS program mainly courses on exact string pattern recognition and similar topics.
  • Teacher evaluations. The teacher evaluations of Dr. Gómez are normally above 8 (maximum score=10).
  • As a second main teaching interest, he teaches English. His specialty is the teaching of pronunciation and training for English advanced exams (TOEFL, Cambridge English, TOEIC).

5 Research Interests


Dr. Gómez wrote a thesis, entitled Geometric and Computational Aspects of Projections, in the field of Computational Geometry. After its completion Dr. Gómez did research on computational
geometry, computer graphics and facility location. In fact, he was one of the founders of the Madrid Computational Geometry Group. In 2000 he also added Music Information Retrieval and Computational Music Theory to his
research interests. In 2003 he switched to this field. His main interests in Music Information Retrieval and Computational Music Theory are:

  • Measures of similarity, including rhythmic similarity and melodic similarity.
  • Phylogenetic analysis of music.
  • Mathematical measures of rhythm complexity and syncopation.
  • Musical transformations applied to rhythm and melody.
  • Automatic analysis of music traditions, specially flamenco music, Afro-Cuban music, Brazilian music and in general African music.
  • Mathematical and computational modelling of musical grouping.
  • Mathematical and computational modelling of musical tension.
  • Tuning systems.
  • Visualization of music.
  • Teaching mathematics via the arts.
  • Active learning methods, in particular the Moore methods, the Mazur method, writing-based methods and emotional class management.

Dr. Gómez has two six-year periods of research activity recognized by the ANECA (the official Spanish research agency).

 

6 Main Research Projects

  1. Title of Research Project:  Computational analysis of flamenco muisc. Funding Agency: Ministry of Science and Technology - Government of Andalusia. From November 2013 to November 2017. Project number: P12-TIC-1362.  Principal Investigator: Miguel Díaz-Báñez (University of Seville).
  2. Title of Research Project:  Genesis and evolution of flamenco music: an interdisciplinary study with computational methods. Funding Agency: Ministry of Science and Technology - Government of Andalusia. From November 2009 to November 2012. Principal Investigator: Miguel Díaz-Báñez (University of Seville).
  3. Title of Research Project: Computational Analysis of Flamenco Melody. Funding Agency: Ministry of Science and Technology - Government of Andalusia. From September 2008 to September 2009. Principal Investigator: Miguel Díaz-Báñez (University of Seville).
  4. Title of Research Project: Computational Analysis of Flamenco Musical Structure. Funding Agency: Ministry of Science and Technology - Government of Teacher evaluations. The teacher evaluations of Dr. Gómez are normally above 8 (maximum score=10).. September 2007 to September 2008. Principal Investigator: Miguel Díaz-Báñez (University of Seville).
  5. Title of Research Project: Geometric Optimization for Classification Problems.Funding Agency: Ministry of Science and Technology. From 2006 to 2009. Principal Investigator: Miguel Díaz-Báñez (University of Seville). Ministry of Science and Technology. From 2006 to 2009.
  6. Title of Research Project: Perception of Rhythmic Similarity in Flamenco Music. Funding Agency: Centre for Interdisciplinary Research in Music Media Technology, McGill University, Canada. From 2007 to 2008. Principal Investigator: Catherine Guastavino - (McGill University).
  7. Title of Research Project: Network of Excellence: European Research Network on Excellence in Processing Open Cultural Heritage. Funding Agency: European Commission. From 2004 to 2008. Principal Investigator: Mercedes Farjas (School of Surveying Studies - Technical University of Madrid).
  8. Title of Research Project: Foundations and applications of Discrete Mathematics to Geometry. Funding Agency: CYCIT. From 1998 to 2002. Principal Investigator: Manuel Abellanas Oar (Technical University of Madrid).
  9. Title of Research Project: Combinatorial Structures in Geometry. Funding Agency: CYCIT. From 1996 to 1998. Principal Investigator: Ferrán Hurtado (Technical University of Catalonia).

 

7 Main Peer-Reviewed Publications

  1. Gómez, F., Mora, J., Gómez, E., Díaz-Báñez, J. M. Melodic Contour and Mid-Level Global Features Applied to the Analysis of Flamenco Cantes. Journal of New Music Research, 45(2), 145-159, April, 2016
  2. Montiel, M., Gómez, F. Music in the pedagogy of mathematics. Journal of Mathematics and Music, Volume 8, Issue 2, 2014, Pages 151 – 166.
  3. Gómez, F., Talaskian, P. and Toussaint, G.T. Interlocking and Euclidean Rhythms. Journal of Mathematics and Music, Volume 3, Issue 1, 2009, Pages 15 – 30. PDF - Bibtex
  4. Gómez, F., Talaskian, P. and Toussaint, G.T. Structural Properties of Euclidean Rhythms. Journal of Mathematics and Music, Volume 3, Issue 1, 2009, Pages 1 – 14. PDF - Bibtex
  5. Guastavino, C., Gómez, F., Toussaint, G., Marandola, F., Gómez, E. (2009).  Measuring Similarity between Flamenco Rhythmic Patterns.  Journal of New Music Research. 38(2), 129-13. PDF - Bibtex
  6. Demaine, E., Gómez, F., Meijer, H., Rappaport, D., Taslakian, P., Toussaint, G. T., Winograd, T. and Wood, D. R. The Distance Geometry of Music. Computational Geometry: Theory and Application, 42, 429-454, 2009. PDF - Bibtex
  7. Colannino, J., Gómez, F., and Toussaint, G.T. Analysis of Emergent Beat-Class Sets in Steve Reich’s Clapping Music and the Yoruba Bell Timeline. Perspectives of New Music, vol. 47, no.1, 111-134, 2009. PDF - Bibtex
  8. Díaz Báñez, F. Gómez,  J. M., G. Farigu, F. Gómez, D. Rappaport, G. T. Toussaint. Similaridad y evolución en la rítmica del flamenco: una incursión de la matemática computacional.  La Gaceta de la Real Sociedad Matemática Española, vol 8.2, 489-509, 2005. PDF - Bibtex
  9. Díaz-Báñez, J.M., Gómez F. and Ventura I. The anchored Voronoi diagram: static, dynamic versions and applications. International Journal of Computational Geometry and Applications, vol. 16, pp. 315-332, 2006. PDF - Bibtex
  10. Gómez, F.; Hurtado, F.; Ramaswami, S.; Sacristán, V. and Toussaint G. Implicit Convex Polygons. The Journal of Mathematical Modelling and Algorithms, vol. 1, 2002, pp. 57-85. PDF - Bibtex
  11. Aloupis, G.; Cortes, C.; Gómez, F.; Soss, M; and Toussaint, G. Lower bounds for computing statistical depth. Computational Statistics and Data Analysis, vol. 40, 2002, pp. 223-229.
  12. Gómez, F., Ramaswami S.,  Toussaint G. On computing general position views of data in three dimensions. Journal of Visual Communication and Image Representation, vol. 13, No. 4, 2002, pp. 401-424.
  13. Gómez, F.;Hurtado, F. ; Sellares, J.A., Toussaint, G. On degeneracies removable by perspective Projections. International Journal of Mathematical Algorithms, Vol. 2, 2001, pp. 227-248.
  14. Gómez, F.; Hurtado, F.; Sellares, J. Antonio; Toussaint, G. Nice perspective Projections. Journal of Visual Communication and Image Representation, vol. 12, No. 4, pp 387-400, 2001.
  15. Díaz-Báñez, J. M. ; Gómez, F. and Hurtado F. Approximation of point sets by 1-corner polygonal chains. INFORMS Journal of Computing, Vol.12, No. 4, pp. 317-328, 2000.
  16. Bose, P.; Gómez, F.; Ramos, P. and Toussaint, G. Drawing nice Projections of objects in space.  Journal of Visual Communication and Image Representation, 10 (2), pp. 155-172, 1999.

 

8 Main Peer-Reviewed Conference Proceedings

  1. Kroher, N., Gómez, E., Guastavino, C., Gómez, F., Bonada, J. Computational models for perceived melodic similarity in a cappella flamenco cantes. In proceedings of ISMIR (International Symposium on Music Information Retrieval). October 27th-31st, 2014, Tapei, Taiwan.
  2. Gómez, F., Díaz-Báñez, J. M., Gómez, E., Mora, J. Flamenco music and its computational study. In Proceedings of BRIDGES: Mathematical Connections in Art, Music, and Science, Seoul, Korea, 2014.
  3. Tizón, M., Gómez, F., Oramas, S. Does always the Phrygian mode elicit responses of negative valence? 4th International Workshop On Folk Music Analysis, June 12th-14th, 2014, Istanbul, Turkey.
  4. Kroher, N., Gómez, E., Sordo, M., Gómez-Martín, F., Díaz-Báñez, J.-M., Mora, J., et al. (2014). Computational ethnomusicology: a study of flamenco and Arab-Andalusian vocal music. 4th International Workshop On Folk Music Analysis, June 12th-14th, 2014, Istanbul, Turkey.
  5. Tizón, M., Gómez, F., Oramas, S. Perceived emotion in Phrygian mode in musically trained children. Actas del Third Interantional Conference on Music and Emotion. Jyväskylä, Finlandia. June 11th-15th, 2013.
  6. Pikrakis, A., Gómez, F., Oramas, S., Gómez, E., Mora, J., Diaz-Bañez, J. M.,  Escobar, F., Salamon, J. Tracking melodic patterns in flamenco singing by analyzing polyphonic music recordings.In Proceedings of ISMIR (International Symposium on Music Information Retrieval). Universidade Católica Portuguesa. Porto. October 8-12th, 2012.
  7. Gómez,E., Guastavino, C., Gómez, F., Bonada, J. Analyzing melodic similarity judgements in flamenco a cappella singing. 12th International Conference on Music Perception and Cognition. The Aristotle University of Thessaloniki, Thessaloniki, Greece. July 23-28th, 2012.
  8. Gómez, F., Pikrakis, A., Mora, J., Diaz-Bañez, J. M., Gomez, E., Escobar, F., Oramas, S., Salamon, J. Automatic detection of melodic patterns in flamenco singing by analyzing polyphonic music recordings. Second Folk Music Analysis Workshop.  Seville, Spain. April 20th, 2012.
  9. Mora, J., Gómez, F., Gómez, E., Escobar Borrego, F., Díaz Báñez, J. M. An integrated analysis of flamenco music. First International Workshop on Folk Music Analysis.University of Athens. May 19th-20th, 2011.
  10. Mora, J., Gómez, F., Gómez, E., Escobar Borrego, F., Díaz Báñez, J. M. Characterization and melodic similarity of a cappella flamenco cantes. In Proceedings of ISMIR (International Symposium on Music Information Retrieval). Utrecht School of Music, Utrecht, Netherland, August 9-13, 2010.
  11. Gerofsky, S., Gómez, F., Rappaport, D., and Toussaint, G. Spirograph patterns and circular representations of rhythm: Exploring number theory concepts through visual, tangible and audible representations. In Proceedings of BRIDGES: Mathematical Connections in Art, Music, and Science, Banff, Alberta, Canada, 2009.
  12. Ballinger, B., Benbernou, N, Gómez, F., O’Rourke, J. and Toussaint, G. T. The continuous hexachordal theorem. In Proceedings of Mathematics and Computation in Music, pages 11-21. Yale University, New Haven, Connecticut, June 19-22, 2009. Proceedings published in Volume 38 de Springer Communications in Computer and Information Science Series.
  13. Gómez, F., Taslakian, T. and Toussaint, G.T. Convergence of the shadow sequence of inscribed polygons. In Proceedings of the 18th Fal l Workshop on Computational Geometry. Rensselaer Polytechnic Institute, Troy, New York, October 31st - November 1st, 2008, pp. 10-11.
  14. Guastavino, C., Gómez, F., Toussaint, G.T., Marandola, F., Gómez, E. Perception of rhythmic similarity in flamenco music. In Conference on Interdisciplinary Musicology. The Aristotle University of Thessaloniki, Thessaloniki, Greece. July, 2008.
  15. Escobar-Borrego, F. J., Díaz-Báñez, J. M., Gómez, E., Gómez, F. Mora, J., and Cabrera, J. J. Comparative melodic analysis of a cappella flamenco cantes. In Conference on Interdisciplinary Musicology. Thessaloniki, Greece, July 2008.
  16. Guastavino, C., Marandola, F., Toussaint, G. T., Gómez, F. and Absar, R. Perception of rhythmic similarity in flamenco music: comparing musicians and non-musicians. In Proceedings of the Fourth Conference on Interdisciplinary Musicology. Thessaloniki, Greece, 2-6 July, 2008, (electronic proceedings), Abstracts Book, pp. 74-75.
  17. Gómez, F., Taslakian, P. and Toussaint, G. T. Evenness-preserving operations on musical rhythms. In Proceedings of the Canadian Conference on Computer Science and Software Engineering Editor: Bipin C. Desai, Concordia University, Montreal, Canada, May 12-13, 2008, pp. 121-123.
  18. Gómez, F. Análisisis filogenético en la música. In Proceedings of Forma y Simetría Universidad de Buenos Aires. Facultad de Arquitectura, Diseño y Urbanismo. November 7th - 11th, 2008.
  19. Gómez, F., Thul, E., and Toussaint, G. An experimental comparison of formal measures of rhythmic syncopation. In Proceedings of the International Computer Music Conference,Copenhagen, Denmark, August, 2007.
  20. Gómez, F., Talaskian, P., and Toussaint, G. Distance-geometric properties of Euclidean rhythms. In Proceedings of Kyoto International Conference on Computational Geometry and Graph Theory, Kyoto, Japan, June, 2007.
  21. Absar. R, Gómez. F., Guastavino, C., Marandola, F., Toussaint, G. Perception of meter similarity in flamenco music. In Proceedings of 2007 Canadian Acoustical Association, Montreal, Canada, October, 2007.
  22. Gómez, F., Khoury, I. and Toussaint, G. Perception-based rhythmic transformations. In Canadian Acoustics, Vol. 35, No. 3, September 2007, pp. 48-49. (Proceedings of the Acoustics Week in Canada, Concordia University, Montreal, October 9-12, 2007).Montreal, Canada, October, 2007.
  23. Gómez, F., Khoury, I., Kienzle, J., McLeish, E., Melvin, A., Pérez-Fernandez, R., Rappaport, D. and Toussaint, G. Mathematical models for binarization and ternarization of musical rhythms. In Proceedings of BRIDGES: Mathematical Connections in Art, Music, and Science, San Sebastián, Spain, 2007. Pages 99–108.
  24. Colannino, J., Gómez, F. and Toussaint, G. Steve Reich’s Clapping Music and the Yoruba bell timeline. In Proceedings of BRIDGES: Mathematical Connections in Art, Music, and Science, London, England, 2006.
  25. Melvin, A., Gómez, F. , Rappaport, D., and Toussaint, G. Mathematical measures of syncopation. In Proceedings of BRIDGES: Mathematical Connections in Art, Music, and Science, Banff, Alberta, Canada, 2005.
  26. Díaz-Báñez J. M., Farigu, G., Gómez, F., Rappaport, D., Toussaint, G. El compás flamenco: A phylogenetic analysis. In Proceedings of BRIDGES: Mathematical Connections in Art, Music, and Science, Winfield, Kansas, 61-70, 2004.
  27. Díaz-Báñez J. M., G. Farigu, F. Gómez, D. Rappaport, G. T. Toussaint , Análisis filogenético del compás flamenco. Actas del XXXII Congreso Internacional de Arte Flamenco. Mairena del Alcor, Sevilla, 2004.
  28. Díaz-Báñez, J.M.; Gómez F. and Ventura I. The anchored Voronoi diagram. Proceeding of XIX European Conference on Computational Geometry, Bonn, March, 2003.
  29. Gómez, F., Hurtado, F., Toussaint, G. On removing non-degeneracy assumptions in Computational Geometry. In Proceeding of the 3rd Italian Conference on Algorithms and Complexity, pp. 52-63, 12-14, March, 1997.
  30. Bose, J.; Gómez, f., Ramos, P. and Toussaint, G. Drawing nice projections of objects in space. Lecture Notes in Computer Science, no 1027, pages. 52-63, 1995. In Proc. Graph Drawing ’95, Passau, Alemania, September 1995.

 

9 Reviewing

  • He is associated editor for the special issue on Computational Ethnomusicology of theJournal of New Music Research.
  • In his current field he has served as reviewer for conferences such as  BRIDGES, ISMIR (the most important conference in the field), ICMC and SMC.
  • He has served as reviewer for Journal of Mathematics and Music.
  • He has served as reviewer for several series of INFLA, a conference on research on flamenco music.
  • When Francisco Gómez did Computational Geometry, he served as reviewer for several conferences.

 

10 Media Coverage

  1. Principio de incertidumbre, interviewed done at the popular science Radio Extremadura radio show on November the 3rd, 2012.
  2. to Youtube.
  3. Interview held on December 14th, 2009 about the article El ritmo musical y el algoritmo de Euclides están emparejados in the radio show La gran manzana de la ciencia of COPE radio network.
  4. Article El ritmo musical y el algoritmo de Euclides están emparejados published in web sites MadrI+D, SINC of FECyT and in the official web site of Technical University of Madrid.
  5. Redes - Spanish show on science hosted by Eduardo Punset - Interview. January 26th, 2009.
  6. Alicia R. Mediavilla . Flamenco y Matemáticas. Article by published in the magazine A fondo. August, 2005.
  7. Francisco Dancausa Ruiz. El Flamenco Visto por las Matemáticas . Digital newspaper Noticias.com. August 8th, 2005
  8. CanalSocial Noticias (digital newspaper). Un estudio revela la relacion matemática entre los principales estilos del flamenco . August 11th, 2005.
  9. El País - September 7, 2005. http://www.elpais.com/articulo/futuro/Primera/aproximacion/arbol/evolutivo/flamenco/elpfutpor/20050907elpepifut 6/Tes
  10. El Mundo - La genética del flamenco . August 16th, 2005.
  11. Science portal Genciencia. Las Matematicas con el flamenco. January 24th, 2006.

 

11 Book and Book chapters

  • Blanco, G., Carreño, J.J., de la Cruz, A., García, J., Gómez, F., Lías, A. Matemática Discreta. Servicio de Publicaciones de la Escuela Universitaria de Informática. September, 1996.
  • Gómez, F. Exact String Pattern Recognition. Digital book published in the UPM OpenCourseWare in 2010.

 

12 Editor

 

13 Prizes

  • Third place in the Competition of popular science and technological articles (Certamen de divulgación científica y tecnológica UPM) for the article Si Euclides lo supiese... se sentiría orgulloso (If Euclid knew... he would be proud of himself). Prize awarded December 21st, 2009.

 

14 Popular Science

Besides his research work, Dr. Gómez has a keen and genuine interest in popularizing science.

  • Participation in the Science Fair Atlanta 2016, organized by the Department of Mathematics and Statistics, Georgia State University.
  • Participation in Jornadas de Divulgación Artística y Científica, organized by Conciencia Musical in Salas, Oviedo, Spain.
  • Participation in the scientific fair Street Alicante Science in 2012.
  • Participation in Maths Week in Ireland 2013 with a talk/show about mathematics and minimalism.
  • Participation in Maths Week in Ireland 2011 and 2012 with the show Matherhythm.
  • Participation in Maths Week in Ireland 2010 as invited speaker. Dr. Gómez gave a talk entitled Musical Rhythms and the Greatest Common Divisor and took part in

  • Dr. Gómez publishes a monthly article in the section Música y matemáticas in the digital popular science journal DivulgaMat.

 

15 Organization of Conferences and Workshops

  1. Organizer of Jornadas de Divulgación Artística y Científica, organized by Conciencia Musical in Salas, Oviedo, Spain.
  2. Organizer of III Congreso Interdisciplinar Investigación y Flamenco (INFLA-III) held in April 2012.
  3. Organizer of II Folk Music Analysis Workshopheld in April 2012.
  4. Organizer of Jornadas de la Sociedad(e) Ibérica de Tecnología Musical (SITEMU) 2010, the Iberian society for Music Technology.
  5. Co-founder, along with Godfried Toussaint, of the International Workshops on Computational Music Theory that have been held in Madrid and other locations since 2003.
  6. Organizer of several workshops on computational analysis of flamenco music in Seville and Madrid.
  7. Organizer of the Spanish Computational Geometry Conference held in Madrid in 1997.
  8. Dr. Gómez has served as reviewer in several conferences including BRIDGES, ISMIR and conferences in Computational Geometry.

 

16 Languages

  1. Spanish: mother tongue.
  2. English: fluent, both in writing and speaking.
  3. French: high level, both in writing and speaking. Scored 835 out of 990 on the Test de français international (TFI) taken in June 2009. Description of this level: Compétence avancée en français. Communication relativement aisée, sans hésitation, dans la plupart des domaines.
  4. Spanish Sign Language: basic level.

 

17 Administration

  • Member of the Faculty Board of the School of Computer Science.
  • Dean of Students Affairs and Cultural Activities of the School of Computer Science of Technical University of Madrid between April 1998 and September 2000.



18 Hobbies - Interests

  • Music (plays Latin percussion, recorder and piano). He has joined several recorder consorts.
  • Theatre: member of a musical storytelling company in Madrid named Contrasteatro.
  • Sports (basketball, chess, table tennis, roller hockey). He is a certified roller-hockey coach.
  • He is an amateur mathemagician.
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