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

CV

Upcoming talks:

Workshop and seminar organization:

  1. (Co-)organizer: Quantization in Representation Theory, Derived Algebraic Geometry, and Gauge Theory, with Andrea Appel, Giovanni Felder, Mauro Porta, Francesco Sala and Olivier Schiffmann, September 15-20 2024, SRS Swissmap Research Station in Les Diablerets, Switzerland
  2. (Co-)organizer: Mirror Symmetry for Cluster Varieties and Representation Theory, with Konstanze Rietsch and Timothy Magee, June 17-21 2024, King's College London, England
  3. (Co-)organizer: Quivers, Clusters and Lie theory-A meeting on Representation Theory to commemorate Christof Geiss 60th birthday, with Alfredo Nájera Chávez, José Simental and Yadira Valdivieso, June 10-12 2024, Mexico City, Mexico
  4. (Co-)Organizer: Silting in Representation Theory, Singularities, and Noncommutative Geometry, with Henning Krause (Bielefeld University), Osamu Iyama (The University of Tokyo), Daniel Labardini-Fragoso (UNAM) and Michael Wemyss (University of Glasgow), September 10-15 2023, Oaxaca, Mexico
  5. (Co-)Organizer: CIMPA School: Algebraic and Tropical Methods for solving Differential Equations", with Sebastian Falkensteiner, Christhian Garay, Gleb Pogudin, June 12-23 2023, Oaxaca, Mexico. Funding: 10,000 Euro by CIMPA, 7,000 Euro by Foundation Compositio Mathematica, 100,000 MXN (ca. 5,000 Euro) Apoyo Especial Alfonso Nápoles Gándara IM-UNAM, 4,000 Euro by the IMU-CDC, 66,700 MXN (ca. 3,400 Euro) by the LaSoL
  6. (Co-)Organizer: BIRS-Workshop: Toric Degenerations, with Alessio Corti, Megumi Harada, Fatemeh Mohammadi December 4-9 2022, BIRS Banff, Canada
  7. (Co-)Organizer: Seminario de Representaciones de Álgebras, with Christof Geiss, Daniel Labardini, Octavio Mendoza, Alfredo Nájera Chávez, online, September - November 2021, UNAM, México
  8. (Co-)Organizer: Coloquio Oaxaqueño Virtual, with Raquel Perales, since October 2020, bimonthly
  9. (Co-)Organizer: Mini-Workshop: Superpotentials in Algebra and Geometry, with Eduardo Gonzales, Konstanze Rietsch, Lauren Williams, February 23-29 2020, MFO Oberwolfach, Germany
  10. (Co-)Organizer: Seminario Itinerante CCMUNAM-CIMAT-IMUNAM de Teoría de Representaciones , with Christof Geiss, Daniel Labardini, Alfredo Nájera Chávez, December 8-9 2019, Oaxaca, Mexico
  11. (Co-)Organizer: Workshop for Young Researchers: Representation Theory meets Tropical Geometry, with Sara Lamboglia, March 12-16 2018, Cologne, Germany
  12. Organizer: Graduate School Lectures by Alfredo Najera, November 2-7 2017, Cologne, Germany
  13. Organizer: Oberseminar Algebra, 2014 - 2018, Cologne, Germany
  14. Organizer: Pizza-Seminar for Phd students and Post-Docs to present their work, Cologne, Germany
  15. (Co-)Organizer: Meet and Greet during the Chow lectures, with Emre Sertoz, May 24 2017, MPI MiS Leipzig, Germany

Awards/Grants/Offers:

Conference talks:

  1. The Gröbner theory of Scattering Amplitudes, Mathematical Aspects of N=4 Super-Yang-Mills Theory, February 26 - March 1 2024, Simons Center for Geometry and Physics, Stony Brook, NY, U.S., video
  2. Toric degenerations and maps to toric varieties, Workshop: Torus actions in symplectic and algebraic geometry, January 15-19 2024, Institute for Basic Science, Center for Complex Geometry (IBS-CCG), Daejeon, South Korea
  3. "Toric degenerations and maps to toric varieties", Canada-Mexico-US Conference in Representation Theory, Noncommutative Algebra, and Categorification, CRM Montreal, Canada, August 24-27 2023, organizers: Christof Geiss (UNAM), Iva Halacheva (Northeastern University), Joel Kamnitzer (McGill University), Daniel Labardini-Fragoso (UNAM), Aaron Lauda (University of Southern California), Alistair Savage (University of Ottawa), Milen Yakimov (Northeastern University)
  4. "Towards a Fundamental Theorem in Totally Positive Tropical Geometry", Workshop "Newton-Okounkov bodies and tropical geometry", Goethe Universität Frankfurt, November 14 - 18 2022, hybrid, organizers: Barbara Bolognese, Alex Küronya, Martin Ulirch
  5. "Tropical Totally Positive Cluster Algebras", BIRS-CMO Workshop "Bases for cluster algebras", September 26 - 30 2022, Casa Matemática Oaxaca, Oaxaca, México organizers: Alfredo Nájera Chávez, David Hernandez, Jan Schröer, slides
  6. "Toric degenerations, Newton--Okounkov polytopes and tropical geometry", Workshop Differential Algebra, MPIMiS Leipzig, June 6-8 2022
  7. "Gröbner theory of Grassmannian cluster algebras", Interdisciplinary applications of cluster algebras, organized by Li Li, Bethany Marsh, Pierre-Guy Plamondon and Ralf Schiffler, Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K., November 8-12 2021, slides, video
  8. "Newton--Okounkov bodies for cluster varieties", Workshop on "Newton-Okounkov bodies and Fanosearch", organized by Liana Heuberger, Elisa Postinghel and Luis Solá Conde, (hybrid) Levico Terme (Trento), Italy, October 5-8 2021, slides
  9. "Cuerpos de Newton--Okounkov desde la ecuación de KP" (español), Encuentro Conjunto de la Sociedad Matemática Mexicana (SMM) y la Real Sociedad Matemática Española (RSME), (online) sesión especial "Poliedros de Newton y metodos tropicales en ecuaciones diferenciales", organized by Cristhian Garay, June 14-18 2021, slides
  10. "Newton--Okounkov bodies for cluster varieties", Mini-Workshop on Toric Degnerations, Universität Frankfurt, organized by Alex Küronya, Duco van Straten and Martin Ulirsch, (online) June 11 2021, Video
  11. "Families of Gröbner degenerations", ICERM-Workshop: Algebraic Geometry and Polyhedra (online) organized by Committee: Federico Ardila, Man-Wai Cheung, Yoav Len, Sam Payne, Lauren Williams, April 12-16 2021, slides, video
  12. "Gröbner degenerations of Grassmannians and cluster algebras", Combinatorics on Flag Varieties and Related Topics 2021 (online), organized by Soojin Cho (Ajou University), Yunhyung Cho (Sungkyunkwan University), Jaehyun Hong (IBS-CCG), JiSun Huh (Ajou University), Eunjeong Lee (IBS-CGP), Seonjeong Park (KAIST), January 25-27 2021, slides
  13. "Familias de Degeneraciones de Gröbner" (español), con Alfredo Nájera Chávez, Congreso Nacional Virtual de la Sociedad Matematica Mexicana 2020, Geometría Algebraica, Octubre 2020, slides
  14. Cluster algebras 2020 online conference organized by JiaRui Fei, Fan Qin, and Pu Zhang, August 28 2020
  15. "String polytopes and superpotentials", Lie theory and integrable systems in symplectic and Poisson geometry, Online conference organized by Peter Crooks and Jeremy Lane, June 5-7 2020, video
  16. "Positive initial ideals and the FFLV polytope", MFO Mini-Workshop: Degeneration techniques in representation theory, October 6-12 2019, Oberwolfach, Germany
  17. "Toric degenerations of tropical Grassmannians", with Megumi Harada and Fatemeh Mohammadi, MFO Workshop: Toric Geometry, September 23-28 2019, Oberwolfach, Germany
  18. "Degenerations of Grassmannians", BIRS Workshop "Mutations: Mirror Symmetry, Deformations, and Combinatorics", August 12 - 16 2019, BIRS Banff, Canada
  19. "Degenerations of Grassmannians", Workshop: Mirror Symmetry and Cluster Algebras, July 15 - 18 2019, DPMMS Cambridge University, Cambridge, U.K.
  20. "Full rank valuations and toric initial ideals", Workshop on Forms, Flags, Graphs and Beyond, May 9-12 2019, Ottawa, Canada
  21. "Cluster Varieties with coefficients", Eröffnungsworkshop des ABCD-Seminars, February 14 2019, Aachen, Germany, slides
  22. "Toric degenerations from Newton-Okounkov bodies", Algebraic Geometry in Mexico 2018, December 5 2018, Puerto Escondido, Mexico, slides
  23. "Toric degenerations of Grassmannians", February 2 2018 at Cluster varieties and mathematical physics, Oaxaca, Mexico
  24. "Birational sequences and the tropical Grassmannian of planes" at Workshop "Recent advances on the geometry of valuations", November 9 2017, Frankfurt, Germany
  25. "Birational sequences and the tropical Grassmannian of planes", August 23 2017 at "A Focused Research Workshop on Toric Degenerations", Bristol, UK
  26. "Computing toric degenerations of flag varieties", (slides), July 31 2017 at SIAM Minisymposium on Newton--Okounkov bodies, Atlanta, GA, USA
  27. "String cones arising from Cluster varieties", ICRA International Conference on Representation of Algebras, August 15-19 2016, ICRA Syracuse NY, USA, Abstract
  28. "Toric degenerations in Representation Theory and beyond", June 25 2016, Conference "Young Women in Representation Theory", Bonn, Germany, Abstract
  29. "Birational sequences and Demazure characters", March 3rd 2016, Oberwolfach, Germany, Abstract

Coloquium talks:

  1. "La diversidad de las algebras de conglomerado", Coloquio de la Sociedad Matmática Méxicana, September 8 2022, online, academic committee: Luz de Teresa, Daniel Juan, Patricia Saavedra, Renato Iturriaga video
  2. "La diversidad de las algebras de conglomerado", Coloquio Queretano, Juriquilla, organizer: Esteban Vargas, June 15 2022
  3. "La diversidad de las algebras de conglomerado", Coloquio CU, Instituto de Matemáticas UNAM, organizers: Adolfo Guillot y Ernesto Rosales, March 1 2022, slides
  4. "La diversidad de las algebras de conglomerado", 3er Encuentro Virtual de Mujeres Matemáticas Mexicanas, Sesión de Álgebra (en español), organized by Daniel Labardini, November 16-19 2021, slides, video
  5. "Cluster algebras", Colloquium Department of Mathematics, University of Pittsburgh, September 25 2020, slides
  6. "What is tropical geometry?", Abstract, February 8 2018 at Coloquio Oaxaqueño de Matemáticas, Oaxaca, Mexico

Seminar talks:

  1. Brick compactifications of braid varieties using superpotentials, Seminar Representation Theory, December 15 2023, University of Bielefeld, Germany
  2. "Toric degenerations and maps to toric varieties", Köln Algebra and Representation Theory Seminar, July 11 2023, University of Cologne, Germany
  3. "Families of Gröbner degenerations", Algebraic Geometry Seminar, UC Davis, organizer: Daping Weng, May 11 2022
  4. "La diversidad de las algebras de conglomerado", Seminario Virtual de Matemáticas, Colima, organizer: Ricardo A. Sáenz, April 27 2022
  5. Total positivity in the Gröbner fan and cluster algebras, Cluster structures on coordinate rings, organizer: Misha Gorsky, José Simental, April 25 2022, slides
  6. "Gröbner theory of Grassmannian cluster algebras", Algebraic Geometry Seminar UC Riverside, organizers Javier González Anaya, José Luis González y Patricio Gallardo, February 15 2022, slides
  7. "Gröbner theory of Grassmannian cluster algebras", Seminar on Lie algebras and applications, HSE math department/Skoltech CAS, organizers: Evgeny Feigin, Ievgen Makedonskyi and Igor Makhlin, Januray 25 2022, slides
  8. "Gröbner theory of Grassmannian cluster algebras", Seminar Computer Algebra Limoges, organizers: Mercedes Haiech, Tristan Vaccon and Cyrille Chenavier, Januray 13 2022, slides
  9. "Totally positive tropical cluster varieties", Köln Algebra and Representation Theory Seminar, organizer: Daniel Schaefe, December 7 2021
  10. "On toric degenerations", Seminar on Algebraic Geometry and Geometric Topology, Tulane University Louisiana, U.S., organizers Mahir Can, Tài Huy Hà, Rafal Komendarczyk and Kalina Mincheva, October 25 2021
  11. "De Degeneraciones Tóricas", Seminario de Álgebra Conmutativy y Geometría Algebraica del CIMAT (en español), organized by Edwin Leon Cardenal y Cristhian Garay Lopez, September 6 2021, slides
  12. "Cuerpos de Newton--Okounkov para variedades de conglomerado" (español), Seminario Geometría Algebraica por los 10 años de la creación del Centro de Ciencias Matemáticas en la UNAM Campus Morelia, organized by Bosco Frias Medina and Abel Castorena, (online) June 28 2021
  13. "Newton--Okounkov bodies for cluster varieties", Online Representation Theory Seminar, oraginzed by Martina Lanini, Andrea Appel, Fabio Gavarini and Francesco Sala, June 18 2021, slides
  14. "On toric degenrations"NTAG seminar, CECM Simon Fraser University (online), organized by Türkü Özlüm Çelik and Nils Bruin, June 10 2021
  15. "La historia del álgebra de conglomerado" (español), Yachay Tech Math Club, (online), May 25 2021, afiche, slides
  16. "Toric degenerations with projections and standard monomials", Köln Algebra and Representation Theory Seminar, (online) organized by Xin Fang and Peter Littelmann, May 18 2021, slides
  17. "Toric degenerations: embeddings and projections", Seminar Algebraische Geometrie, FU Berlin, organized by Andrea Petracci, May 17 2021, slides
  18. "Gröbner theory of Grassmannian cluster algebras", Minnesota Combinatorics Seminar, (online) organized by Nick Ovenhouse and Gregg Musiker, April 30 2021
  19. "Tropical Geometry of Grassmannians and their cluster structure", Ohio State University Algebraic Geometry Seminar (online), organized by Dave Anderson, February 23 2021
  20. "Cluster duality for Grassmannians", Algebraic Geometry Seminar in Bogotá, organized by John Alexander Cruz Morales, November 18 2020, slides
  21. "Tropical Geometry of Grassmannians and their cluster structure", Tropical Geometry in Zoom (online), organized by Lorenzo Fantini and Martin Ulirsch, December 4 2020, slides, video
  22. "Degeneraciones de Gröbner y Familias tóricas" (español), Seminario nacional de geometría algebraica (en línea), organized by Cristhian Garay and César Lozano Huerta, October 28 2020, slides
  23. "Positively well-poised embeddings", Algebra Seminar University of Kentucky (online), organized by Christopher Manon, September 30 2020, abstract
  24. Online Cluster Algebra Seminar, organized by Anna Felikson, Michael Gekhtman, Daniel Labardini, Kyungyong Lee, Pierre-Guy Plamondon, Ralf Schiffler and Khrystyna Serhiyenko, September 15 2020, slides,video
  25. Online Algebraic Geometry Seminar, organized by Alex Kasprzyk and Johannes Hofscheier, September 10 2020, video
  26. "Families of Groebner degenerations", LAGOON (Leicester Algebra and Geometry Open ONline Seminar), organized by Sybille Schroll and Frank Neumann, June 18 2020
  27. "Cluster structures ans Tropicalization", Online seminar on "Algebra, Geometry, and Combinatorics", organized by Laura Escobar, Megumi Harada and Jenna Rajchgot,June 5-7 2020, slides
  28. "Families of Groebner degenerations",Research Seminar Representation Theory RWTH Aachen, (online) organized by Ghislain Fourier, May 28 2020, slides
  29. "Geometría tropical" (español), Online seminar for master students of the UNAM in Guatemala, May 20 2020
  30. "La variedad de banderas tropical" (español), Seminario de Álgebra y Geometría, January 16 2020, Unidad Cuernavaca del Institute de Matemáticas de la UNAM, Mexico
  31. "Degeneraciones de Grassmannianas y algebras de conglomerado" (español), Seminario Itinerante CCMUNAM-CIMAT-IMUNAM de Teoría de Representaciones , December 8-9 2019, Oaxaca, Mexico
  32. "Cluster Varieties with coefficients", Geometry Seminar King's College London, February 20 2019, London, U.K., slides
  33. "Toric degenerations of cluster varieties", Abstract, Algebraic Geometry Seminar, February 19 2019, Bristol, U.K.
  34. "Toric degenerations from Newton-Okounkov bodies", Geometry and Topology Seminar, February 1 2019, IM-UNAM Oaxaca, Mexico
  35. "Toric degenerations of Grassmannians: plabic graphs and tropical geometry", Seminar, September 26 2018, Bern, Switzerland
  36. "Toric degenerations: a bridge between representation theory, tropical geometry and cluster algebras", August 29 2018 at Nonlinear Algebra Seminar, MPI MIS Leipzig, Germany
  37. "Toric degenerations from representation theory, tropical geometry and cluster algebras", March 26 2018 at Séminaire d'Algèbre, Paris, France
  38. "Toric degenerations via tropical geometry and representation theory", February 20 2018 at Commutative Algebra and Algebraic Geometry Seminar, UC Berkeley, USA
  39. "Schubert varieties under linear degenerations of the flag variety", Representation Theory Seminar, December 18 2017, Hannover, Germany
  40. "Examples of toric degenerations: tropical geometry", November 27 2017, Seminar on Interactions between Symplectic Geometry, Combinatorics, and Number Theory, Cologne, Germany
  41. "Toric degenerations of Grassmannians: birational sequences vs. tropical", September 26 2017, Algebra seminar Università degli Studi di Roma "Tor Vergata", Rome, Italy
  42. "Introduction to toric varieties", June 26 2016, Seminar on Interactions between Symplectic Geometry, Combinatorics, and Number Theory, Cologne, Germany
  43. "String cone and Superpotential combinatorics for flag and Schubert varieties in type A", arxiv.1611.06504, December 20 2016, Oberseminar Cologne, Germany
  44. "Computing toric degenerations of flag varieties", Nonlinear Algebra Seminar, October 22 2016, MPI MiS Leipzig, Germany
  45. "Toric degenerations of the Grassmannian of 2-planes in n-space", arxiv.1612.03838 June 28 2016, Oberseminar Jena, Germany

Poster:

  1. "Toric degenerations of flag varieties", March 5 2018 at Geometry and Representation Theory of Algebraic Groups, Bad Honnef, Germany

Outreach/Round table discussion:

  1. Conversatorio "Jóvenes Matemátiques: retos y perspectivas", Novena Escuela Oaxaqueña de Matemáticas, February 7-9 2024, Oaxaca, Mexico
  2. Mesa redonda "80 años de la Sociedad Matemática Mexicana", Congreso nacional de la SMM 2023, San Luis Potosi, Mexico, October 23-27 2023, youtube, organizadora: Gabriela Araujo
  3. "Mapas y puentes: dos cuentos de gráficas", Festejo por el Día Internacional de la Matemáticas 2022, Divulgación IM+CCM, Instituto de Matemáticas y Centro de Ciencias Matemáticas de la UNAM, oragnizadores: Darío Alatorre, Bruno Cisneros, Gasde Hunedy, Beatriz Vargas y Paloma Zubieta, diapositivas, video
  4. "La historia del álgebra de conglomerado" (español), Hablando de Matemáticas UNAM, (online) May 20 2021, banner, poster, slides, video
  5. "Mi viaje a través de las matemáticas" (español), Outreach Workshop Feria de las matemáticas, May 3/4 2019, Paso Real Sarabia, Istmo, Oaxaca, Mexico, Poster