Ph.D. in Mathematics (2006)
Ph.D. in Information Technology (2021)
Profile: Research Gate MathSciNet ORCID SCOPUS
Research interests: Algebraic Topology (Classifying spaces, Fusion systems, Higher limits), Unsupervised learning.
Telephone number: +34 952132387
Email: adiazramos@uma.es
Departamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Campus de Teatinos, Universidad de Málaga, 29071 Málaga, Spain
with R. Molinier and A. Viruel, Path partial groups, accepted in Revista Matemática Complutense (2025), [arXiv], [DOI].
Quillen's conjecture and unitary groups, preprint (2024), [arXiv]
with Guille Carrión Santiago, Mackey functors for posets, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 119, 40 (2025). [arXiv] [DOI]
with O. Garaialde Ocaña, N. Mazza, and S. Park, On the cohomology of pro-fusion systems, J. Algebra Appl. 22 (2023), no. 11, Paper No. 2350243, [arXiv] [DOI]
with N. Mazza, A geometric approach to Quillen's conjecture, J. Group Theory 25 (2022), 91 – 112 , [arXiv] [DOI]
with A. Viruel, A p-nilpotency criterion for finite groups , Acta Math. Hungar. (2019) 157, pages 154-157. [arXiv] [Acta Math. Hungar.]
On Quillen's conjecture for p-solvable groups, Journal of Algebra, 513, 1 November 2018, Pages 246-264 [PDF] [arXiv] [Journal of Algebra]
with A. Viruel and A. Espinosa Baro, A cohomological characterization of nilpotent fusion systems, Proc. Amer. Math. Soc., 146 (2018), 1447-1450 [arXiv] [PAMS]
with O. Garaialde Ocaña and J. González-Sánchez, Cohomology of p-groups of nilpotency class smaller than p, Journal of Group Theory, Volume 21, Issue 2 (2018), Pages 337-350, [arXiv][DOI]
Spectral sequences via examples, The Graduate Journal of Mathematics, Mediterranean Institute for the Mathematical Sciences (MIMS), Volume 2, Issue 1 (2017), 10-28 [PDF] [GJM]
with O. Garaialde Ocaña and J. González-Sánchez, Cohomology of uniserial p-adic space groups, Trans. Amer. Math. Soc., Volume 369, Number 9 (2017), 6275-6750 [PDF] [arXiv] [ TAMS ]
with S. Park, Mackey functors and sharpness for fusion systems, Homology, Homotopy, and Applications, vol. 17(1), 2015, pp.147-164 [HHA][arXiv]
with A.J. Calderon, M. Haralampidou and J.M. Sanchez, Graded pseudo-H-rings, Banach J. Math. Anal. Volume 9, Number 2 (2015), 311-321 [PDF] [BJMA]
with O. Garaialde, The cohomology of the sporadic group J2 over F3, Forum Mathematicum, Volume 28, Issue 1 (2016), Pages 77-87, DOI: 10.1515/forum-2014-0039 [PDF] [FM]
A spectral sequence for fusion systems, Algebraic & Geometric Topology 14 (2014), 349-378. [PDF] [A>]
with A. Ruiz and A. Viruel, Cohomological uniqueness of some p-groups, Proceedings of the Edinburgh Mathematical Society, Volume 56, Issue 02 (2013), 449-468 [PDF][PEMS]
with A. Glesser, S. Park and R. Stancu, Tate's and Yoshida's theorems on control of transfer for fusion systems, J. Lond. Math. Soc. (2) 84 (2011), no. 2, 475-494. [JLMS][arXiv]
with A. Glesser, N. Mazza and S. Park, Control of transfer and weak closure in fusion systems, Journal of Algebra,323 (2010), Issue 2, 382-392 [PDF] [JoA]
with A. Libman, Segal's conjecture and the Burnside ring of fusion systems, Journal of the London Mathematical Society, 80 (2009),665-679 [PDF] [JLMS]
with A. Libman, The Burnside ring of fusion systems, Advances in Mathematics, 222 (2009), Issue 6, 1943-1963 [PDF] [AM]
A family of acyclic functors, Journal of Pure and Applied Algebra 213 (2009), 783-794. [PDF] [JPAA]
with A. Glesser, N. Mazza and S. Park, Glauberman's and Thompson's theorems for fusion systems, Proc. Amer. Math. Soc. 137 (2009), 495-503. [PDF] [PAMS]
with A. Ruiz and A. Viruel, All p-local finite groups of rank two for odd prime p, Trans. Amer. Math. Soc. 359 (2007), 1725-1764. [arXiv][TAMS]
Homological Algebra on Graded Posets, PhD. Thesis (2006), [arXiv] [PDF]
Other publications:
Francisco Javier Turiel Sandín, Antonio Díaz Ramos, Topología Algebraica Básica, Manuales de Ciencia y Tecnología de la Universidad de Málaga, 2022 [UMA]
Jesús Benito-Picazo, Esteban J. Palomo, Enrique Domínguez, Antonio Díaz Ramos, Image Clustering Using a Growing Neural Gas with Forbidden Regions, 2020 International Joint Conference on Neural Networks (IJCNN), Glasgow, UK, 2020, pp. 1-7 [IEEE]
A. Díaz Ramos, E. López-Rubio, E.J. Palomo, The Forbidden Region Self-Organizing Map Neural Network, IEEE Transactions on Neural Networks and Learning Systems (2020), Volume 31, Issue 1, 201 - 211 [IEEE]
A. Díaz Ramos, E. López-Rubio, E.J. Palomo, The role of the lattice dimensionality in the self-organizing map, Neural Network World, 2018.
B. Serrano-Solano, A. Díaz Ramos, J.-K. Hériché, J.A.G. Ranea, How can functional annotations be derived from profiles of phenotypic annotations?, BMC Bioinformatics 18:96, February 2017 [BMC]
E. López-Rubio, A. Díaz Ramos, Grid topologies for the self-organizing map, Neural Networks, Volume 56, August 2014, Pages 35-48. [Neural Networks]
Redes neuronales no supervisadas con topología dinámica para la segmentación de imágenes en color, Proyecto de Fin de Carrera (Ingeniero Técnico en Informática de Sistemas), 2011. [PDF]
with R. Molinier and A. Viruel, Path partial groups, accepted in Revista Matemática Complutense (2025), [arXiv], [DOI].
Quillen's conjecture and unitary groups, preprint (2024), [arXiv]
with Guille Carrión Santiago, Mackey functors for posets, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 119, 40 (2025). [arXiv] [DOI]
with O. Garaialde Ocaña, N. Mazza, and S. Park, On the cohomology of pro-fusion systems, J. Algebra Appl. 22 (2023), no. 11, Paper No. 2350243, [arXiv] [DOI]
with N. Mazza, A geometric approach to Quillen's conjecture, J. Group Theory 25 (2022), 91 – 112 , [arXiv] [DOI]
with A. Viruel, A p-nilpotency criterion for finite groups , Acta Math. Hungar. (2019) 157, pages 154-157. [arXiv] [Acta Math. Hungar.]
On Quillen's conjecture for p-solvable groups, Journal of Algebra, 513, 1 November 2018, Pages 246-264 [PDF] [arXiv] [Journal of Algebra]
with A. Viruel and A. Espinosa Baro, A cohomological characterization of nilpotent fusion systems, Proc. Amer. Math. Soc., 146 (2018), 1447-1450 [arXiv] [PAMS]
with O. Garaialde Ocaña and J. González-Sánchez, Cohomology of p-groups of nilpotency class smaller than p, Journal of Group Theory, Volume 21, Issue 2 (2018), Pages 337-350, [arXiv][DOI]
Spectral sequences via examples, The Graduate Journal of Mathematics, Mediterranean Institute for the Mathematical Sciences (MIMS), Volume 2, Issue 1 (2017), 10-28 [PDF] [GJM]
with O. Garaialde Ocaña and J. González-Sánchez, Cohomology of uniserial p-adic space groups, Trans. Amer. Math. Soc., Volume 369, Number 9 (2017), 6275-6750 [PDF] [arXiv] [ TAMS ]
with S. Park, Mackey functors and sharpness for fusion systems, Homology, Homotopy, and Applications, vol. 17(1), 2015, pp.147-164 [HHA][arXiv]
with A.J. Calderon, M. Haralampidou and J.M. Sanchez, Graded pseudo-H-rings, Banach J. Math. Anal. Volume 9, Number 2 (2015), 311-321 [PDF] [BJMA]
with O. Garaialde, The cohomology of the sporadic group J2 over F3, Forum Mathematicum, Volume 28, Issue 1 (2016), Pages 77-87, DOI: 10.1515/forum-2014-0039 [PDF] [FM]
A spectral sequence for fusion systems, Algebraic & Geometric Topology 14 (2014), 349-378. [PDF] [A>]
with A. Ruiz and A. Viruel, Cohomological uniqueness of some p-groups, Proceedings of the Edinburgh Mathematical Society, Volume 56, Issue 02 (2013), 449-468 [PDF][PEMS]
with A. Glesser, S. Park and R. Stancu, Tate's and Yoshida's theorems on control of transfer for fusion systems, J. Lond. Math. Soc. (2) 84 (2011), no. 2, 475-494. [JLMS][arXiv]
with A. Glesser, N. Mazza and S. Park, Control of transfer and weak closure in fusion systems, Journal of Algebra,323 (2010), Issue 2, 382-392 [PDF] [JoA]
with A. Libman, Segal's conjecture and the Burnside ring of fusion systems, Journal of the London Mathematical Society, 80 (2009),665-679 [PDF] [JLMS]
with A. Libman, The Burnside ring of fusion systems, Advances in Mathematics, 222 (2009), Issue 6, 1943-1963 [PDF] [AM]
A family of acyclic functors, Journal of Pure and Applied Algebra 213 (2009), 783-794. [PDF] [JPAA]
with A. Glesser, N. Mazza and S. Park, Glauberman's and Thompson's theorems for fusion systems, Proc. Amer. Math. Soc. 137 (2009), 495-503. [PDF] [PAMS]
with A. Ruiz and A. Viruel, All p-local finite groups of rank two for odd prime p, Trans. Amer. Math. Soc. 359 (2007), 1725-1764. [arXiv][TAMS]
Homological Algebra on Graded Posets, PhD. Thesis (2006), [arXiv] [PDF]
Other publications:
Francisco Javier Turiel Sandín, Antonio Díaz Ramos, Topología Algebraica Básica, Manuales de Ciencia y Tecnología de la Universidad de Málaga, 2022 [UMA]
Jesús Benito-Picazo, Esteban J. Palomo, Enrique Domínguez, Antonio Díaz Ramos, Image Clustering Using a Growing Neural Gas with Forbidden Regions, 2020 International Joint Conference on Neural Networks (IJCNN), Glasgow, UK, 2020, pp. 1-7 [IEEE]
A. Díaz Ramos, E. López-Rubio, E.J. Palomo, The Forbidden Region Self-Organizing Map Neural Network, IEEE Transactions on Neural Networks and Learning Systems (2020), Volume 31, Issue 1, 201 - 211 [IEEE]
A. Díaz Ramos, E. López-Rubio, E.J. Palomo, The role of the lattice dimensionality in the self-organizing map, Neural Network World, 2018.
B. Serrano-Solano, A. Díaz Ramos, J.-K. Hériché, J.A.G. Ranea, How can functional annotations be derived from profiles of phenotypic annotations?, BMC Bioinformatics 18:96, February 2017 [BMC]
E. López-Rubio, A. Díaz Ramos, Grid topologies for the self-organizing map, Neural Networks, Volume 56, August 2014, Pages 35-48. [Neural Networks]
Redes neuronales no supervisadas con topología dinámica para la segmentación de imágenes en color, Proyecto de Fin de Carrera (Ingeniero Técnico en Informática de Sistemas), 2011. [PDF]
II Coloquio de Geometría y Topología Granada-Málaga, 15 November 2024, Granada, Spain, La conjetura de Quillen para los grupos unitarios
Encuentro de Topología, 26 October 2024, Salamanca, Spain, La conjetura de Quillen para los grupos unitarios
Group Actions, Geometry and Cohomology wokshop, 10 July 2024, Manchester, UK, Quillen's conjecture and unitary groups [Workshop's site]
Barcelona Topology Workshop, 2 February 2024, Barcelona, Spain, Quillen's conjecture and unitary groups
Algebra seminar at the University of Louisiana at Lafayette, 17 November 2023, USA, online via Zoom, Mackey functors and higher limits [Site]
Functorial Methods in Group Theory conference, Université de Picardie Jules Verne, 15 June 2022, Amiens, France, Path partial groups [Conference's site]
Algebra Seminar, Universidad del País Vasco, 31 May 2022, Bilbao, Spain, A p-nilpotency criterion for finite groups [Bilbao Algebra Seminar]
Seminario de Topología Algebraica, CIMAT, México, 27 April 2021, Mackey functors and higher limits [Slides in PDF] [Seminario Virtual de Topología Algebraica]
Bilkent University Topology Seminar, Turkey, online seminar via Zoom, 26 October 2020, On Quillen's conjecture. [PDF] [researchseminars.org]
GTA II conference, Universidad del País Vasco, 14 February 2020, Bilbao, Spain, On Quillen's conjecture. [Conference's site]
Carles Fest conference, Universidad de Málaga, 7 November 2019, Málaga, Spain, Fusion systems for profinite groups. [Conference's site]
Topology seminar, Universitat Autònoma de Barcelona, 29 March 2019, Barcelona, Spain, Fusion systems for profinite groups.
Topology seminar, Institut Fourier, Université Grenoble Alpes, 22 February 2019, Grenoble, France, On Quillen's conjecture. [Topology seminar's site]
Métodos Categóricos y Homotópicos en Álgebra, Geometría y Topología, 28, 29, 30 July 2018, Almería, Spain, Mackey functors and higher limits. [Slides in PDF]
Advanced Lectures in Homotopy Theory 2017, Universitat Autònoma de Barcelona, 24-26 April 2017, Barcelona, Spain, Course on Discrete Morse Theory and Applications,
Topology Seminar, University of Southampton, 13 March 2017, U.K., On Quillen's conjecture for p-solvable groups [Slides in PDF]
RSME 2017, 30 January-3 February 2017, Zaragoza, Spain, On Quillen's conjecture for p-solvable groups [Slides in PDF]
Workshop Fusion systems and equivariant algebraic topology, 21-24 November 2016, HIM, Bonn, Germany, Mackey functors for fusion systems (with an introduction to the stable transfer).
Spectral sequences via examples, 18-20 October 2016, Málaga, Spain, Lecture notes for a short course about spectral sequences. [Lecture Notes]
Workshop on Group Actions - Classical and Derived, Fields Institute, 13-17 June 2016, Toronto, Canada, On Quillen's conjecture for p-solvable groups. [Slides in PDF]
Topology Seminar, Universitat Autònoma de Barcelona, 26 April 2016, Barcelona, Spain, On Quillen's conjecture for p-solvable groups.
Séminaire de Théorie des Groupes, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie-Jules Verne, 30 March 2016, Amiens, France, On Carlson's conjecture.
Mathematics, Statistics and Applied Mathematics Seminar, NUI Galway, 29 October 2015, Galway, Ireland, Simplicial complexes and Quillen's complexes.
Homological Algebra Workshop (HAW), ICMAT, Campus de Cantoblanco, Madrid, March 2 - 6, 2015, Course on spectral sequences [Program in PDF]
Computations in Groups and Algebras (CoGrAl2015), 16th - 19th February, 2015, Jena (Germany), A new spectral sequence for fusion systems [Slides in PDF] (with comments on Carlson's conjecture)
Mathematics, Statistics and Applied Mathematics Seminar, NUI Galway, 20 November 2014, Galway, Ireland, The cohomology of J_2 at p=3 [Slides in PDF]
Topology Seminar, Universitat Autònoma de Barcelona, 22 November 2013, Barcelona, Spain, Mackey functors and fusion systems.
Mathematics, Statistics and Applied Mathematics Seminar, NUI Galway, 7 November 2013, Galway, Ireland, A generalization of the Lyndon-Hochschild-Serre spectral sequence [Slides in PDF] (with an introduction to group cohomology and spectral sequences)
EPFL Group Theory Seminar, 11 March 2013, Lausanne, Switzerland, Cohomological uniqueness of some p-groups.
Bisets in Algebra and Topology, 12-14 September 2012, Amiens, Francce, A spectral sequence for fusion systems. [Slides in PDF]
EPFL Group Theory Seminar, 22 May 2012, Lausanne, Switzerland, A spectral sequence for fusion systems. [Slides in PDF]
Séminaire de Théorie des Groupes, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie-Jules Verne, 16 May 2012, Amiens, France, A spectral sequence for fusion systems.[Slides in PDF]
II Encuentro conjunto RSME-SMM, 17-20 January 2012, Torremolinos, Málaga, España, Grupos finitos p-locales e invariantes.[Diapositivas en PDF]
XVIII Encuentro de Topología, October 2011, Universidad de Sevilla, España, Unicidad homotópica de p-grupos. [Diapositivas en PDF]
New Trends in Group Theory 2011, May 2011, CIEM, Castro Urdiales, Spain, Transfer in fusion systems. [Slides in PDF]
Barcelona Topology Workshop 2010 , Universitat Autònoma de Barcelona, December 2010, Barcelona, Spain, Tate's theorem for fusion systems. [Slides in PDF]
Topologists from Málaga around the world, Universidad de Málaga, February 2010, Málaga, Spain, Segal's conjecture and the Burnside ring of fusion systems.
Mi despacho está en la tercera planta del edificio de Matemáticas, en el Departamento de Álgebra, Geometría y Topología.
Grado en Matemáticas:
2025/2026: Topología Algebraica.
2024/2025: Geometría I.
2023/2024: Geometría I.
2022/2023: Álgebra Lineal y Geometría.
2021/2022: Álgebra Lineal y Geometría.
2020/2021: Álgebra Lineal y Geometría.
2018/2019: Topología Algebraica Básica (en inglés)
2017/2018: Topología Algebraica Básica (en inglés)
2016/2017: Topología Algebraica Básica (en inglés)
2015/2016: Álgebra Lineal y Geometría.
2014/2015: Álgebra Lineal y Geometría.
2013/2014: Álgebra Lineal y Geometría.
2012/2013: Álgebra Lineal y Geometría.
2011/2012: Álgebra Lineal y Geometría.
Grado en Ciencias Ambientales:
2024/2025: Matemáticas.
2023/2024: Matemáticas.
2022/2023: Matemáticas.
2021/2022: Matemáticas.
2020/2021: Matemáticas.
2019/2020: Matemáticas.
Grado en Bioquímicas:
2017/2018: Prácticas de Matemáticas Generales Aplicadas a la Bioquímica.
2016/2017: Prácticas de Matemáticas Generales Aplicadas a la Bioquímica.
Máster en Matemáticas:
2025/2026: Software en Matemáticas.
2024/2025: Software en Matemáticas.
2023/2024: Software en Matemáticas.
2022/2023: Software en Matemáticas.
2021/2022: Software en Matemáticas.
2020/2021: Software en Matemáticas.
2019/2020: Software en Matemáticas.
2018/2019: Software en Matemáticas.
2017/2018: Software en Matemáticas.
2015/2016: Geometría, Topología y Física.
2014/2015: Geometría, Topología y Física.
2013/2014: Geometría, Topología y Física.
2012/2013: Geometría, Topología y Física.
2011/2012: Geometría, Topología y Física.