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.
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

Email 1: najera@matem.unam.mx
Email 2: same as Email 1 but finishing with @im.unam.mx

Research Interests

Cluster algebras, cluster categories and cluster varieties
Toric geometry
Mirror symmetry
Representation theory of quivers

Publications and preprints

The cluster complex for cluster Poisson varieties and representations of acyclic quivers, with C. Melo, arXiv:2310.03626 [math.RT].
Newton-Okounkov bodies and minimal models for cluster varieties, with L. Bossinger, M.-W. Cheung and T. Magee, arXiv:2305.04902 [math.AG].
Deformation Theory for Finite Cluster Complexes, with N. Ilten and H. Treffinger, arXiv:2111.02566 [math.AG].
Families of Gröbner degenerations, Grassmannians and universal cluster algebras, with L. Bossinger and F. Mohammadi. SIGMA 17 (2021), Paper No. 059.
Compactifications of cluster varieties and convexity, with M.-W. Cheung and T. Magee, International Mathematics Research Notices, 2021; rnab030.
Landau-Ginzburg potentials for Fano compactifications of cluster varieties, in Oberwolfach Reports 10 (2020), pp 7--8.
Toric degenerations of cluster varieties and cluster duality, with L. Bossinger, B. Frías-Medina and T. Magee. Compositio Mathematica, 156 (10), 2149-2206.
A 2-Calabi-Yau realization of finite-type cluster algebras with universal coefficients, Mathematische Zeitschrift, 291, 1495-1523 (2019).
On Frobenius (completed) orbit categories, Algebras and Representation Theory, 20, 1007-1027 (2017).
On the c-vectors of an acyclic cluster algebra, International Mathematical Research Notices, 2015 (6), 1590-1600.
c-vecotrs and dimension vectors for cluster finite quivers , Bulletin of the London Mathematical Society, Volume 45, Issue 6, 2013, 1259-1266.
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

Seminario Itinerante de Teoría de representaciones 2023.
Seminario de Álgebra Geometría y Topología de Oaxaca .

Curriculum Vitae

You can find my short CV (which might or might not be updated) here.