Alfredo Nájera Chávez
I am a CONACyT-Research Fellow at the Mathematics Institute of UNAM in the city of Oaxaca.
I obtained my PhD at Université Paris Diderot - Paris VII under the direction of Prof. Bernhard Keller and Prof. Lauren Williams (Berkeley).
After my PhD, I was a Posdoctoral Fellow at the Max Planck Institute for Mathematics in Bonn.
My last name is Nájera Chávez.
Contact:
Instituto de Matemáticas UNAM Unidad Oaxaca
León 2, altos, Oaxaca de Juárez
Centro Histórico
68000 Oaxaca, Mexico.
Office: 4
e-Mail: najera@matem.unam.mx
Research Interests
- Cluster algebras, cluster categories and cluster varieties.
- Toric geometry.
- Mirror symmetry.
- Representation theory of quivers.
- Noncommutative algebraic geometry.
- Higher Segal spaces.
Publications and preprints
- On cluster duality for Grassmannians, with L. Bossinger, M-W. Cheung and T. Magee, in preparation.
- Toric degenerations of cluster varieties and cluster duality, with L. Bossinger, B. Frías-Medina and T. Magee. arXiv:1809.08369 [math.AG].
- A 2-Calabi-Yau realization of finite-type cluster algebras with universal coefficients, Mathematische Zeitschrift (2019). https://doi.org/10.1007/s00209-019-02261-5.
- On Frobenius (completed) orbit categories, Algebras and Representation Theory, 20 (2017), no. 4, 1007-1027.
- c-Vecotrs and dimension vectors for cluster finite quivers , Bulletin of the London Mathematical Society, 2013 45 (6), 1259-1266.
- On the c-vectors of an acyclic cluster algebra, International Mathematical Research Notices, 2015 (6), 1590-1600.
- On the c-vectors and g-vectors of the Markov cluster algebra, Séminaire Lotharingien de combinatoire, 69 (2013), Article B69d.
Organization of conferences and other events
Curriculum Vitae