Instituto de Matemáticas UNAM Unidad Oaxaca
León 2, altos, Oaxaca de Juárez
Centro Histórico
68000 Oaxaca, Mexico.

Office: sede Martires de Tacubaya 505a
Email: lara (at) im.unam.mx

Published

  1. Adjacency for scattering amplitudes from the Gröbner fan, with James Drummond and Ross Glew, open access Journal of High Energy Physics, DOI: 10.1007/JHEP11(2023)002 Link, arXiv:2212.08931[hep-th]
  2. Families of Gröbner degenerations, Grassmannians and universal cluster algebras, with Fatemeh Mohammadi and Alfredo Nájera Chávez, SIGMA 17 (2021), 46 pages, Link, arXiv:2007.14972[math.AG], Computational data
  3. Birational sequences and the tropical Grassmannian, Journal of Algebra, 10.1016/j.jalgebra.2021.04.028, November 2021, Link, arXiv:1903.12106[math.RT]
  4. Full rank valuations and toric initial ideals, International Mathematics Research Notices, Volume 2021, Issue 10, May 2021, 7715-7763, Link, arxiv:1903.11068[math.AG],
  5. Toric degenerations of cluster varieties and cluster duality, with Bosco Frías-Medina, Timothy Magee, Alfredo Nájera Chávez, Compositio Mathematica, 156(10), 2149-2206. doi:10.1112/S0010437X2000740X, 2020, Link, arxiv:1809.08369[math.AG]
  6. String cone and Superpotential combinatorics for flag and Schubert varieties in type A, with Ghislain Fourier, J. Combin. Theory Ser. A., Volume 167, October 2019, pp 213-256. https://doi.org/10.1016/j.jcta.2019.04.006, Link, arXiv:1611.06504[math.RT]
  7. Toric degenerations of Gr(2,n) and Gr(3,6) via plabic graphs, with Xin Fang, Ghislain Fourier, Milena Hering, Martina Lanini, Ann. Comb. (2018) Volume 22, Issue 3, pp 491-512, Link, arXiv:1612.03838[math.CO], Computational data
  8. Computing toric degenerations of flag varieties, with Sara Lamboglia, Kalina Mincheva, Fatemeh Mohammadi, Combinatorial Algebraic Geometry, Smith G., Sturmfels B. (eds), Fields Institute Communications, pp.247-281, Vol 80. Springer, New York, NY, November 2017, Link, arXiv:1702.05480[math.AG], Computational data
  9. The degree of the Hilbert-Poincaré polynomial of PBW-graded modules, with Teodor Backhaus and Christian Desczyk and Ghislain Fourier, Comptes Rendus Mathematique, Volume 352, Issue 12, December 2014, 959-963, Link, ariv:1408.0901[math.RT]

Preprints

  1. Tropical initial degeneration for systems of algebraic differential equations, with Sebastian Falkensteiner, Cristhian Garay-López, Marc Paul Noordman, arXiv:2309.10761 [math.AG]
  2. Newton-Okounkov bodies and minimal models for cluster varieties, with Man-Wai Cheung, Timothy Magee, and Alfredo Nájera Chávez, arxiv:2305.04903
  3. Infinite matroids in tropical differential algebra, with F. Aroca, S. Falkensteiner, C. Garay Lopez, L. R. Gonzalez-Ramirez, and C. V. Valencia Negrete, arxiv:2305.04784
  4. Maps to toric varieties and toric degenerations, with Takuya Murata, arXiv:2210.13137[math.AG]
  5. Tropical totally positive cluster varieties, arXiv:2208.01723[math.AG]
  6. Following Schubert varieties under Feigin's degeneration of the flag variety, with Martina Lanini, arXiv:1802.04320[math.RT], Computational data

Other

  1. A survey on toric degenerations of projective varieties, accepted for publication in the Proceedings of the Nottingham Algebraic Geometry seminar, arXiv:2301.02545[math.AG]
  2. Mini-Workshop: Superpotentials in Algebra and Geometry, with Eduardo González, Konstanze Rietsch and Lauren Williams, MFO Report No. 10/2020 DOI: 10.4171/OWR/2020/10
  3. Toric degenerations of tropical Grassmannians, with Megumi Harada and Fatemeh Mohammadi, Oberwolfach Workshop: Toric Geometry, MFO Report No. 43/2019, DOI:10.4171/OWR/2019/43
  4. Positive initial ideals and the FFLV polytope, Oberwolfach Mini-Workshop: Degenerations Techniques in Representation Theory, MFO Report No. 46/2019, DOI: 10.4171/OWR/2019/46
  5. Toric degenerations: a bridge between representation theory, tropical geometry and cluster algebras, PhD thesis, University of Cologne, July 2018, Link, arXiv:1806.02090[math.AG]
  6. Birational sequences and Demazure characters, Oberwolfach Mini-Workshop: PBW Structures in Representation Theory, MFO Report No. 13/2016, DOI: 10.4171/OWR/2016/13