MATH
Chemin du Cyclotron 2/L7.01.02
1348 Louvain-la-Neuve
Pedro Dos Santos Santana Forte Vaz (Pedro Vaz)
Professeur
2023
Dos Santos Santana Forte Vaz, Pedro. Asymptotics in finite monoidal categories. In: Proceedings of the American Mathematical Society, Vol. TBA (2023) (Accepté/Sous presse).
2023
Dos Santos Santana Forte Vaz, Pedro. Enhanced nilHecke algebras and baby Verma modules. In: TBA, (2023) (Soumis).
2023
Dos Santos Santana Forte Vaz, Pedro ; Tubbenhauer, Daniel. Handlebody diagram algebras. In: Revista Matematica Iberoamericana, Vol. 39, no. 3, p. 845-896 (2023). doi:10.4171/RMI/1356 (Accepté/Sous presse).
2022
Dos Santos Santana Forte Vaz, Pedro. A formula to evaluate type A webs and link polynomials. In: Arkiv för Matematik, Vol. TBA (2023) (Accepté/Sous presse).
2022
Dos Santos Santana Forte Vaz, Pedro. Annular webs and Levi subalgebras. In: journal of combinatorial algebra, Vol. TBA (2023) (Accepté/Sous presse).
2022
Dos Santos Santana Forte Vaz, Pedro. Evaluation birepresentations of affine type A Soergel bimodules. In: arXiv (Soumis).
2022
Dos Santos Santana Forte Vaz, Pedro. Odd two-variable Soergel bimodules and Rouquier complexes. In: Contemporary Mathematics, Vol. TBA (2022) (Accepté/Sous presse).
2022
Dos Santos Santana Forte Vaz, Pedro. Verma Howe duality and LKB representations. In: TBA, (2022). doi:10.48550/arXiv.2207.09124 (Soumis).
2021
Dos Santos Santana Forte Vaz, Pedro. 2-Verma modules. In: Journal für die reine und angewandte Mathematik, Vol. published online 16/10/2021, no. 782, p. 43-108 (2021). doi:10.1515/crelle-2021-0046.
2021
Lacabanne, Abel ; Dos Santos Santana Forte Vaz, Pedro. Schur-Weyl duality, Verma modules, and row quotients of Ariki-Koike algebras. In: Pacific Journal of Mathematics, Vol. 311, no. 1, p. 113-133 (2021).
2021
Naisse, Grégoire ; Dos Santos Santana Forte Vaz, Pedro ; Lacabanne, Abel. Tensor product categorifications, Verma modules and the blob 2-category. In: Quantum Topology, Vol. 12, no. 4, p. 705–812 (2021).
2019
Dos Santos Santana Forte Vaz, Pedro. DG-enhanced Hecke and KLR algebras. In: N.A., (2019) (Soumis).
2019
Dos Santos Santana Forte Vaz, Pedro. Not even Khovanov homology. In: Pacific Journal of Mathematics, Vol. 308, no. 1, p. 223-256.
2018
Dos Santos Santana Forte Vaz, Pedro. An approach to categorification of Verma modules. In: London Mathematical Society. Proceedings, Vol. 2018, p. 1-58. doi:10.1112/plms.12157.
2018
Dos Santos Santana Forte Vaz, Pedro. On 2-Verma modules for quantum sl(2). In: Sel. Math. New. Ser., Vol. 2018, p. 1-51 (2018). doi:10.1007/s00029-018-0397-z.
2017
Dos Santos Santana Forte Vaz, Pedro. 2-Verma modules and Khovanov-Rozansky link homologies. In: Mathematische Zeitschrift, Vol. 1, p. 1-32 (2020) (Accepté/Sous presse).
2017
Dos Santos Santana Forte Vaz, Pedro. A survey on categorification of Verma modules. In: Journal of Interdisciplinary Mathematics, Vol. 22, no. 3, p. 265-315.
2017
Dos Santos Santana Forte Vaz, Pedro. Odd Khovanov's arc algebra. In: Fundamenta Mathematicae, Vol. 241, p. 1-36 (2017). doi:10.4064/fm328-6-2017.
2017
Dos Santos Santana Forte Vaz, Pedro. Super q-Howe duality and web categories, collab. Tubbenhauer, Daniel. In: Algebraic & Geometric Topology, Vol. 17, p. 3703-3749. doi:10.2140/agt.2017.17.3703.
2014
Dos Santos Santana Forte Vaz, Pedro. KLR algebras and the branching rule II: The categorical Gelfand-Tsetlin bases for the classical Lie algebras. In: ArXiV (Soumis).
2013
Dos Santos Santana Forte Vaz, Pedro. A Remark on BMW algebra, q-Schur Algebras and Categorification. In: Canadian Journal of Mathematics, . doi:10.4153/CJM-2013-018-1 (Accepté/Sous presse).
2013
Dos Santos Santana Forte Vaz, Pedro. A diagrammatic categorification of the q-Schur algebra. In: Quantum Topology, Vol. 4, p. 1-75 (2013). doi:10.4171/QT/34.
2013
Dos Santos Santana Forte Vaz, Pedro. KLR algebras and the branching rule I: The categorical Gelfand-Tsetlin basis in type An. In: ArXiV (Soumis).
2012
Dos Santos Santana Forte Vaz, Pedro. On Jaeger's HOMFLY-PT expansions, branching rules and link homology: a progress report. In: Boletim da Sociedade Portuguesa de Matemática, no. especial, p. p. 91-94 (2012).
2011
Dos Santos Santana Forte Vaz, Pedro ; Mackaay, Marco ; Stosic, Marko. The 1,2-coloured HOMFLY-PT link homology. In: Transactions of the American mathematical society, , no.363, p. 2091-2124 (2011). doi:10.1090/S0002-9947-2010-05155-4.
2010
Dos Santos Santana Forte Vaz, Pedro. The Diagrammatic Soergel Category and sl(2) and sl(3) Foams. In: International Journal of Mathematics and Mathematical Sciences, Vol. 2010, p. 1-23 (2010). doi:10.1155/2010/612360.
2010
Dos Santos Santana Forte Vaz, Pedro ; Mackaay, Marco. The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4. In: International Journal of Mathematics and Mathematical Sciences, Vol. 2010, p. 1-20 (2010). doi:10.1155/2010/468968.
2009
Dos Santos Santana Forte Vaz, Pedro ; Mackaay, Marco ; Stošić, Marko. sl(N)–link homology (N≥ 4) using foams and the Kapustin–Li formula. In: Geometry & Topology, Vol. 13, no. 2, p. 1075-1128 (2009). doi:10.2140/gt.2009.13.1075.
2008
Dos Santos Santana Forte Vaz, Pedro ; Mackaay, Marco. The foam and the matrix factorization sl3 link homologies are equivalent. In: Algebraic & Geometric Topology, Vol. 8, no. 1, p. 309-342 (2008). doi:10.2140/agt.2008.8.309.
2008
Dos Santos Santana Forte Vaz, Pedro. The reduced HOMFLY-PT homology for the Conway and the Kinoshita-Terasaka knots. In: ArXiv.
2007
Dos Santos Santana Forte Vaz, Pedro ; Mackaay, Marco ; Turner, Paul. A remark on rasmussen's invariant of knots. In: Journal of Knot Theory and Its Ramifications, Vol. 16, no. 3, p. 333-344 (2007). doi:10.1142/S0218216507005312.
2007
Dos Santos Santana Forte Vaz, Pedro ; Mackaay, Marco. The universal sl3–link homology. In: Algebraic & Geometric Topology, Vol. 7, p. 1135-1169 (2007). doi:10.2140/agt.2007.7.1135.