MATH
Chemin du Cyclotron 2/L7.01.02
1348 Louvain-la-Neuve
Pedro Dos Santos Santana Forte Vaz (Pedro Vaz)
Professeur
Tubbenhauer, Daniel ; Dos Santos Santana Forte Vaz, Pedro ; Lacabanne, Abel. Asymptotics in infinite monoidal categories. In: arXiv, (2024) (Soumis).
Dos Santos Santana Forte Vaz, Pedro ; Rizzo, Elia. Enhanced nilHecke algebras and baby Verma modules. In: Tunisian Journal of Mathematics, Vol. TBA (2024) (Accepté/Sous presse).
Dos Santos Santana Forte Vaz, Pedro. Evaluation 2-Functors for Kac-Moody 2-Categories of Type A2. In: TBA, (2024) (Soumis).
Miemietz, Vanessa ; Dos Santos Santana Forte Vaz, Pedro ; Mackaay, Marco. Evaluation birepresentations of affine type A Soergel bimodules. In: Advances in Mathematics, Vol. 436. doi:10.1016/j.aim.2023.109401.
Putyra, Krzystof ; Dos Santos Santana Forte Vaz, Pedro ; Khovanov, Milhail. Odd two-variable Soergel bimodules and Rouquier complexes. In: Contemporary Mathematics, Vol. 791 (2024).
Dos Santos Santana Forte Vaz, Pedro. On Hecke and asymptotic categories for complex reflection groups. In: arXiv, (2024) (Soumis).
Dos Santos Santana Forte Vaz, Pedro. Two-row Delta Springer varieties. In: arXiv, (2024). doi:10.48550/arXiv.2407.10792 (Soumis).
Tubbenhauer, Daniel ; Dos Santos Santana Forte Vaz, Pedro ; Lacabanne, Abel. Annular webs and Levi subalgebras. In: journal of combinatorial algebra, Vol. 3/4, p. 283-326 (2023). doi:10.4171/JCA/76.
Tubbenhauer, Daniel ; Dos Santos Santana Forte Vaz, Pedro ; Lacabanne, Abel. Asymptotics in finite monoidal categories. In: American Mathematical Society. Proceedings. Series B, Vol. 10, p. 398-412 (2023). doi:10.1090/bproc/198.
Dos Santos Santana Forte Vaz, Pedro ; Maksimau, Ruslan. DG-enhanced Hecke and KLR algebras. In: SIGMA, Vol. 19 (2023). doi:10.3842/SIGMA.2023.095.
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).
Dos Santos Santana Forte Vaz, Pedro ; Schelstraete, Léo. Odd Khovanov homology and higher representation theory. In: arXiv. doi:10.48550/arXiv.2311.14394 (Soumis).
Tubbenhauer, Daniel ; Dos Santos Santana Forte Vaz, Pedro ; Lacabanne, Abel. A formula to evaluate type A webs and link polynomials. In: Arkiv för Matematik, Vol. 62, p. 83-101 (2024).
Tubbenhauer, Daniel ; Dos Santos Santana Forte Vaz, Pedro ; Lacabanne, Abel. Verma Howe duality and LKB representations. In: TBA, (2022). doi:10.48550/arXiv.2207.09124 (Soumis).
Dos Santos Santana Forte Vaz, Pedro ; Naisse, Grégoire. 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.
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).
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).
Dos Santos Santana Forte Vaz, Pedro. Not even Khovanov homology. In: Pacific Journal of Mathematics, Vol. 308, no. 1, p. 223-256.
Dos Santos Santana Forte Vaz, Pedro ; Naisse, Grégoire. An approach to categorification of Verma modules. In: London Mathematical Society. Proceedings, Vol. 2018, p. 1-58. doi:10.1112/plms.12157.
Dos Santos Santana Forte Vaz, Pedro ; Naisse, Grégoire. 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.
Dos Santos Santana Forte Vaz, Pedro ; Naisse, Grégoire. 2-Verma modules and Khovanov-Rozansky link homologies. In: Mathematische Zeitschrift, Vol. 1, p. 1-32 (2020) (Accepté/Sous presse).
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.
Dos Santos Santana Forte Vaz, Pedro ; Naisse, Grégoire. Odd Khovanov's arc algebra. In: Fundamenta Mathematicae, Vol. 241, p. 1-36 (2017). doi:10.4064/fm328-6-2017.
Dos Santos Santana Forte Vaz, Pedro ; Tubbenhauer, Daniel ; Wedrich, Paul. Super q-Howe duality and web categories. In: Algebraic & Geometric Topology, Vol. 17, p. 3703-3749. doi:10.2140/agt.2017.17.3703.
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).
Dos Santos Santana Forte Vaz, Pedro ; Wagner, Emmanuel. 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).
Stosic, Marko ; Dos Santos Santana Forte Vaz, Pedro ; Mackaay, Marco. A diagrammatic categorification of the q-Schur algebra. In: Quantum Topology, Vol. 4, p. 1-75 (2013). doi:10.4171/QT/34.
Dos Santos Santana Forte Vaz, Pedro. KLR algebras and the branching rule I: The categorical Gelfand-Tsetlin basis in type An. In: ArXiV (Soumis).
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).
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.
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.
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.
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.
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.
Dos Santos Santana Forte Vaz, Pedro ; Mackaay, Marco. The reduced HOMFLY-PT homology for the Conway and the Kinoshita-Terasaka knots. In: ArXiv.
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.
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.