Natàlia Castellana Vila

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Publicacions

Preprints

• Cosupport in tensor triangular geometry, amb Tobias Barthel, Drew Heard, Beren Sanders. arXiv:2303.13480
  
• Normalizer decompositions of p-local compact groups, amb Eva Belmont, Jelena Grbić, Kathryn Lesh, and Michelle Strumila. arXiv:2301.09259
  
• A new approach to mod 2 decompositions of BSU(2) and BSO(3), amb Eva Belmont, Jelena Grbić, Kathryn Lesh, and Michelle Strumila. arXiv:2004.07306
  
• Cellular approximations of fusion systems, amb Alberto Gavira-Romero arXiv:1603.05050
• Adjoint spaces and flag varieties of p-compact groups , amb Tilman Bauer. arXiv:0602418
• The homotopic adjoint representation for p-compact groups (Tesis).

Publicacions

• Quillen stratification in equivariant homotopy theory, amb Tobias Barthel, Drew Heard, Niko Naumann, Luca Pol. arXiv:2301.02212 To appear in Inventiones Math.
  
• On surjectivity in tensor triangular geometry, amb Tobias Barthel, Drew Heard, and Beren Sanders. arXiv:2305.05604 Math. Z.
  
• Descent in tensor triangular geometry , amb Tobias Barthel, Drew Heard, Niko Naumann, Luca Pol and Beren Sanders. arXiv:2305.02308Proceedings of the Abel Symposium 2022 (2023)
  
• Subgroup collections controlling the homotopy type of a p-local compact group, amb Eva Belmont, and Kathryn Lesh. arXiv:2210.00952 J. Pure Appl. Algebra 227 (2023), no. 11
  
• On stratification for spaces with Noetherian mod p cohomology, amb Tobias Barthel, Drew Heard and Gabriel Valenzuela. arXiv:1904.12841, American Journal of Mathematics 144 (2022) no 4, 895-941.
  
• Normalizers of chains of discrete p-toral subgroups in compact Lie groups, amb Eva Belmont, Jelena Grbić, Kathryn Lesh, and Michelle Strumila. arXiv:2301.09259 Topology Appl. 316 (2022)
  
• Local Gorenstein duality for cochains of spaces, amb Tobias Barthel, Drew Heard and Gabriel Valenzuela, Journal of Pure and Applied Algebra, Volume 225, Issue 2,February 2021.
• Algebraic models in the homotopy theory of classifying spaces, Handbook of Homotopy Theory, edited by Haynes Miller, CRC Press/Taylor and Francis Group.
• Vector bundles over p-local groups and Benson-Carlson duality, amb José Cantarero i Lola Morales, Journal of the London Mathematical Society (2) 101 (2020), no. 1, 1–22.arXiv:1701.08309
• Stratification and duality for homotopical groups, amb Tobias Barthel, Drew Heard and Gabriel Valenzuela. Advances in Mathematics 354 (2019)arXiv:1711.03491
  
• Cellular approximations of p-local compact groups, amb Ramón Flores i Alberto Gavira-Romero. arXiv:1706.04763. Journal of Topology
• Unitary embeddings of finite loop spaces , amb José Cantarero. Forum Mathematicum 29 (2017), no. 2, 287–311
  
• Cellular approximations of infinite loop spaces, amb Alberto Gavira-Romero. Journal of the London Mathematical Society  91 (2015), no. 3, 769–785.
  
• Homotopy idempotent functors on classifying spaces, amb Ramón J. Flores. Transactions of the of the American Mathematical Society 367 (2015),no. 2, 1217–1245.
• Spaces with Noetherian Cohomology, amb Kasper Andersen, Vincent Franjou,Alain Jeaneret,Jérôme Scherer. Proceedings Edinburgh Mathematical Society (2) (Isle of Skye Conference Volume) 56 (2013), no. 1, 13–25
• Noetherian loop spaces, amb Joan A. Crespo, Jérôme Scherer. Journal of the European Mathematical Society 13 (2011), no. 5, 1225–1244.
• Wreath products and representations of p-local finite groups, amb Assaf Libman. Advances in Mathematics 221 (2009), 1302–1344.
• Homology decompositions for p-compact groups, amb Dietrich Notbohm, Ran Levi. Advances in Mathematics 216 (2007), 491-534.
• On the cohomology of connected covers of finite H-spaces, amb Joan A. Crespo, Jérôme Scherer. Advances in Mathematics 215 (2007), 250-262.
• Cohomological finiteness conditions: spaces versus H-spaces, amb Joan A. Crespo, Jérôme Scherer. L’Enseignement Mathématique (2) 54 (2008), 64–66.
• Deconstructing Hopf spaces, amb Joan A. Crespo, Jérôme Scherer. Inventiones Mathematicae 167 (2007), 1-18.
• Relating Postnikov pieces with the Krull filtration: a spin-off of Serre's theorem, amb Joan A. Crespo, Jérôme Scherer. Forum Mathematicum 19 (2007), 555-561.
• Extensions of p-local finite groups , amb Carles Broto, Jesper Grodal, Ran Levi, Bob Oliver. Transactions of the American Mathematical Society 359 (2007), 3791–3858.
• Postnikov pieces and BZ/p-homotopy , amb Joan A. Crespo, Jérôme Scherer. Transactions of the American Mathematical Society 359 (2007), 1099–1113.
• On the p-compact groups corresponding to complex reflection groups G(q,r,n), Transactions of the American Mathematical Society 358 (2006), 2799–2819.
• On the homotopy groups of p-completed classifying spaces , amb Joan A. Crespo, Jérôme Scherer. Manuscripta Mathematica 118 no. 3 (2005), 399–409.
• Subgroup families controlling p-local finite groups , amb Carles Broto, Jesper Grodal, Ran Levi, Bob Oliver. Proceedings of the London Mathematical Society 91 (2005), 325-354.
• Quillen grasmmanianns as non-modular homotopy fixed points, Mathematische Zeitschrift 248 (2004), 477-493.
• An homotopic construction of the adjoint representation for Lie groups , amb Nitu Kitchloo. Mathematical Proceedings of the Cambridge Philosophical Society 133 (2002), 399-409

Divulgació

• G de Graciela. Mujeres matemáticas. Trece matemáticas, trece espejos. Marta Macho Stadler (coordinadora). SM-RSME (colección Estímulos matemáticos). 2019.
• Problemes de repartiment just i un joc de taula. Nou Biaix 40,(2017) 6-22.
• Hi havia una vegada un punt fix . Butlletí de la Societat Catalana de Matemàtiques 34 num 2 (2016), 99-120.
• The works of Daniel G. Quillen . Gaceta de la Real Sociedad Matemática Española 3 11 (2008), 3, 573-588.