Alfredo Nájera Chávez
I am a professor at the Mathematics Institute of the Universidad Nacional Autónoma de México 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: najera@im.unam.mx
Research Interests
- Cluster algebras, cluster categories and cluster varieties
- Toric geometry
- Mirror symmetry
- Representation theory of quivers
Publications and preprints
- Newton-Okounkov bodies and minimal models for cluster varieties, with L. Bossinger, M.-W. Cheung and T. Magee, Advances in Mathematics, Volume 447, 2024, 109680.
- The cluster complex for cluster Poisson varieties and representations of acyclic quivers, with C. Melo, International Mathematics Research Notices, rnae055.
- Deformation Theory for Finite Cluster Complexes, with N. Ilten and H. Treffinger, Mathematische Zeitschrift, Volume 309, 66 (2025).
- 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, Volume 2022, Issue 14, July 2022, Pages 10858-10911.
- 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
Curriculum Vitae
- You can find my short CV (which might or might not be updated) here.