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.

Instituto de Matemáticas UNAM Unidad Oaxaca

León 2, altos, Oaxaca de Juárez

Centro Histórico

68000 Oaxaca, Mexico.

Office: 4

Email: najera@im.unam.mx

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

- 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, 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**, 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.

- Quivers, Clusters and Lie Theory, A meeting on Representation Theory to commemorate Christof Geiss' 60th birthday, June 9-12, 2024.
- Coloquio del Instituto de Matemáticas de la UNAM en Oaxaca.

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