Algebraic Geometry

Publications:

• F. Ali , U. Hayat, A. Nolla de Celis and  (2025). Properties of commuting graphs on Coxeter groups, Dynkin diagrams and finite subgroups of SL(2,C).
  Ricerche di Matematica (journal).

• A. Ishii, A. Nolla and K. Ueda (2024). Dimer models and group actions. 
  Math. Z., 306, 6 (arXiv, journal).

• A. Nolla (2023). On Reid's recipe for non abelian groups.
  Advance Studies of Pure Mathematics 88, McKay Correspondence, Mutation and Related Topics, pp. 95-118 (arXiv, book). 

• R. Muñoz and A. Nolla (2021). Discriminants of Toric Varieties.
  Communications in Algebra, 49(12): 5109-5128 (arXiv, journal).

• U. Hayat, A. Ali, G. Murtaza, M. Ullah, I. Ullah, A. Nolla and N. Rajpoot  (2020). Classification of Well Log Data using Vanishing Component Analysis.
  Pure and Applied Geophysics 177, 2719-2737 (journal, supplementary code).  

• U. Hayat, M. Umer, I. Gutman, B. Davvaz and A. Nolla de Celis (2019). A novel method to construct NSSD graphs.
  Open Mathematics, 17(1):1526-1537 (arXiv, journal).

• A. Nolla de Celis and Y. Sekiya (2017). Flops and mutations for crepant resolutions of poyhedral singularities.
  Asian Journal of Mathematics, 21(1): 1-46 (arXiv, journal).

• A. Ishii, Y. Ito and A. Nolla de Celis (2013). On G/N-Hilb of N-Hilb.
  Kyoto Journal of Mathematics, 53(1): 91-130 (arXiv, journal).

• A. Nolla de Celis (2013). G-graphs and special representations for binary dihedral groups in GL(2, C).
  Glasgow Math. Journal, 55(1): 23-57 (arXiv, journal).

• A. Nolla de Celis (2012). Dihedral G-Hilb via representations of the McKay quiver.
  Proc. Japan. Acad., Ser. A, 88, 78-83 (arXiv, journal).

• A. Nolla de Celis (2009). Dihedral groups and G-Hilbert schemes.
  PhD thesis, University of Warwick (pdf).