Escudo de la República de Colombia
  • Alexander Quintero Vélez
  • PhD in Mathematics
  • Profesor Asociado
  • Escuela de Matemáticas
  • (+57 4) 4 30 93 18

  • aquinte2@unal.edu.co

Areas de Interés +

  • Física Matemática
  • Geometría algebraica
  • Geometría diferencial

Areas de Interés


  • Física Matemática
  • Geometría algebraica
  • Geometría diferencial

Grupos de Investigación +

Grupo interinstitucional de investigación en geometría y topología

Grupos de Investigación


Grupo interinstitucional de investigación en geometría y topología

Publicaciones


McKay correspondence for Landau-Ginzburg models. Commun. Number Theory Phys., 3(1):173-208, 2009.

 

Noncommutative resolutions of ADE fibered Calabi-Yau threefolds, (with A. Boer). Comm. Math. Phys., 297(3):597-619, 2010.

 

Remarks on quiver gauge theories from open topological string theory, (with N. Carqueville). J. High Energy Phys., (2010) 2010: 129.

 

Cellular resolutions of noncommutative toric algebras from superpotentials, (with A. Craw). Adv. Math., 229(3):1516-1554, 2012.

 

Boundary coupling of Lie algebroid Poisson sigma models and representations up to homotopy. Lett. Math.Phys., 102(1):31-64, 2012.

 

Cohomology of wheels on toric varieties, (with A. Craw). Hokkaido Math. J., 44(1):47-79, 2015.

 

Geometric Reid's recipe for dimer models, (with A. Craw and R. Bocklandt). Math. Ann., 361(3-4):689-723, 2015.

 

Heat equation and stable minimal Morse functions on real and complex projective spaces, (S. Muñoz Muñoz). Rev. Colomb. Mat., 51(1):71-82, 2017.

 

A U(2)×U(3) gauge theory extension of the standard model, (with R. Herrera) J. Geom. Phys., 141:45-64, 2019.

 

L∞-algebras and the perturbiner expansion, (with C. Lopez Arcos) J. High Energy Phys., (2019) 2019: 10.

 

An A∞ version of the Poincaré lemma, (with C. Arias Abad and S. Vélez Vásquez) Pacific J. Math., 302(2): 385-412, 2019.

 

Singular chains on Lie groups and the Cartan relations II, (with C. Arias Abad).

 

The L∞ structure of gauge theories with matter, (with H. Gomez, R. Jusinskas and C. Lopez Arcos).

 

Calabi-Yau completions and orbifold equivalences, (with N. Carqueville).