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.

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

- Cluster algebras, cluster categories and cluster varieties.
- Toric geometry.
- Mirror symmetry.
- Representation theory of quivers.
- Noncommutative algebraic geometry.
- Higher Segal spaces.

- 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, arXiv:1512.07939 [math.RT] (submitted).
- 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.

- Organizer of the colloquium of the Mathematics Institute of UNAM at Oaxaca.

- Cluster Varieties and Mathematical Physics.

Co-organizer, along Christof Geiss and Daniel Labardini Fragoso.

at Casa Matemática Oaxaca, from 29.01.18 to 02.02.18.

- Cluster Algebras in Mathematical Physics.

Johannes Gutenberg-Universität Mainz, from 27.03.17 to 31.03.17.

- You can find my CV here.