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Upcoming
"The Amplituhedron: Structure, Combinatorics, and Positive Geometry", June 29 to July 4 2025, Les Diablerets, Switzerland
Coloquio de Profesores, August 14 2025, CINVESTAV, CDMX, Mexico
ARTA X Cologne, September 1 - 6 2025, Cologne, Germany
Celebrating the 30th anniversary of UMALCA, September 23-24 2025, Universidade Estadual de Campinas, Brazil
Combinatorics, Geometry, and Representation Theory, 17-28 of November 2025, ICTS, Bengaluru
Mini courses
"Positive Grassmannian and cluster algebras" at Harvard CMSA Summer School on "Total Positivity in Quantum Field Theory", June 2-6 2025, Cambridge, Massachusetts, U.S., slides, exercises, videos: lecture 1, lecture 2, lecture 3
Conference talks
Cluster structures on spinor helicity varieties. Combinatorics and Arithmetic for Physics, November 20-22 2024, IHES Paris, France, Link, Video
Cluster structures on kinematic spaces. Combinatorics of Fundamental Physics Workshop, November 18-22 2024, IAS Princeton, USA, Link
Álgebras de conglomerado en la física de partículas. Sesión de Álgebra conmutativa, Congreso de la Sociedad Matemática Mexicana, October 21-24 2024, Durango, Mexico
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
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
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)
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
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
Toric degenerations, Newton-Okounkov polytopes and tropical geometry, Workshop Differential Algebra, MPIMiS Leipzig, June 6-8 2022
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
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
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
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
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
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
Familias de Degeneraciones de Gröbner (español), con Alfredo Nájera Chávez, Congreso Nacional Virtual de la Sociedad Matematica Mexicana 2020, Geometría Algebraica, Octubre 2020, slides
Families of Gröbner degenerations, Grassmannians and universal cluster algebras, Cluster algebras 2020 online conference organized by JiaRui Fei, Fan Qin, and Pu Zhang, August 28 2020
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
Positive initial ideals and the FFLV polytope, MFO Mini-Workshop: Degeneration techniques in representation theory, October 6-12 2019, Oberwolfach, Germany
Toric degenerations of tropical Grassmannians, with Megumi Harada and Fatemeh Mohammadi, MFO Workshop: Toric Geometry, September 23-28 2019, Oberwolfach, Germany
Degenerations of Grassmannians, BIRS Workshop "Mutations: Mirror Symmetry, Deformations, and Combinatorics", August 12 - 16 2019, BIRS Banff, Canada
Degenerations of Grassmannians, Workshop: Mirror Symmetry and Cluster Algebras, July 15 - 18 2019, DPMMS Cambridge University, Cambridge, U.K.
Full rank valuations and toric initial ideals, Workshop on Forms, Flags, Graphs and Beyond, May 9-12 2019, Ottawa, Canada
Cluster Varieties with coefficients, Eröffnungsworkshop des ABCD-Seminars, February 14 2019, Aachen, Germany, slides
Toric degenerations from Newton-Okounkov bodies, Algebraic Geometry in Mexico 2018, December 5 2018, Puerto Escondido, Mexico, slides
Toric degenerations of Grassmannians, February 2 2018 at Cluster varieties and mathematical physics, Oaxaca, Mexico
Birational sequences and the tropical Grassmannian of planes at Workshop "Recent advances on the geometry of valuations", November 9 2017, Frankfurt, Germany
Birational sequences and the tropical Grassmannian of planes, August 23 2017 at "A Focused Research Workshop on Toric Degenerations", Bristol, UK
Computing toric degenerations of flag varieties, (slides), July 31 2017 at SIAM Minisymposium on Newton--Okounkov bodies, Atlanta, GA, USA
String cones arising from Cluster varieties, ICRA International Conference on Representation of Algebras, August 15-19 2016, ICRA Syracuse NY, USA, Abstract
Toric degenerations in Representation Theory and beyond, June 25 2016, Conference "Young Women in Representation Theory", Bonn, Germany, Abstract
Birational sequences and Demazure characters, Mini-Workshop on PBW-Structures in Representation Theory, March 3rd 2016, Oberwolfach, Germany, Abstract
Coloquium talks
Álgebars de conglomerado y sus aplicaciones en la física de partículas, Coloquio CIMAT-DEMAT, November 4 2024, Guanajuato, Mexico
Álgebars de conglomerado en la física de partículas, Colloquio Oaxaqueño de las Matemáticas, September 12 2024, Oaxaca
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
La diversidad de las algebras de conglomerado, Coloquio Queretano, Juriquilla, organizer: Esteban Vargas, June 15 2022
La diversidad de las algebras de conglomerado, Coloquio CU, Instituto de Matemáticas UNAM, organizers: Adolfo Guillot y Ernesto Rosales, March 1 2022, slides
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
Cluster algebras, Colloquium Department of Mathematics, University of Pittsburgh, September 25 2020, slides
What is tropical geometry?, Abstract, February 8 2018 at Coloquio Oaxaqueño de Matemáticas, Oaxaca, Mexico
Outreach talks and Conversatory
Conversatorio: Mujeres matemáticas de la UNAM en Oaxaca : Celebrando el Día Internacional de las matemáticas, March 13 2025, Unidad Extensión Universitaria Oaxaca, UNAM Oaxaca, Mexico
Las variedades de conglomerado y sus aplicaciones en la física, student conference "XIV Congreso Huygens de Física y Matemáticas" Universidad de las Américas Puebla, México
Conversatorio "Jóvenes Matemátiques: retos y perspectivas", Novena Escuela Oaxaqueña de Matemáticas, February 7-9 2024, Oaxaca, Mexico
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
Mujeres Matemáticas de México y el Mundo, festejo de Mujeres Matemáticas en Oaxaca, PROFE (Programa Oaxaqueño de Fortalecimiento a la Educación), talk for middle and high school students, Oaxaca, May 26 2023, slides
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, talk for middle and high school students, oragnizadores: Darío Alatorre, Bruno Cisneros, Gasde Hunedy, Beatriz Vargas y Paloma Zubieta, diapositivas, video
La historia del álgebra de conglomerado (español), Hablando de Matemáticas UNAM, (online) May 20 2021, talk for high school and undergraduate students, banner, poster, slides, video
Mi viaje a través de las matemáticas (español), Outreach Workshop: Feria de las matemáticas, talk for primary and middle school students, May 3/4 2019, Paso Real Sarabia, Istmo, Oaxaca, Mexico, Poster
Seminars talks
Cluster algebras for spinor helicity and momentum twistor varieties, JACO Webinar series, August 14 2024, cassyni link (with video)
Cluster algebras for spinor helicity and momentum twistor varieties, Max Planck Insitute for Physics, Quantum Field Theory, July 10 2024, Garching (Munich), Germany
Cluster algebras for spinor helicity and momentum twistor varieties, Seminar Applied Algebraic Geometry Group, July 2 2024, Department of Mathematics, KU Leuven, Belgium
Aplicaciones a variedades tóricas y degeneraciones tóricas, Seminario Nacional de Geometría Algebraica, March 22 2024 (online)
Brick compactifications of braid varieties using superpotentials, Seminar Representation Theory, December 15 2023, University of Bielefeld, Germany
Toric degenerations and maps to toric varieties, Köln Algebra and Representation Theory Seminar, July 11 2023, University of Cologne, Germany
Families of Gröbner degenerations, Algebraic Geometry Seminar, UC Davis, organizer: Daping Weng, May 11 2022
La diversidad de las algebras de conglomerado, Seminario Virtual de Matemáticas, Colima, organizer: Ricardo A. Sáenz, April 27 2022
Total positivity in the Gröbner fan and cluster algebras, Cluster structures on coordinate rings, organizer: Misha Gorsky, José Simental, April 25 2022, slides
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
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
Gröbner theory of Grassmannian cluster algebras, Seminar Computer Algebra Limoges, organizers: Mercedes Haiech, Tristan Vaccon and Cyrille Chenavier, Januray 13 2022, slides
Totally positive tropical cluster varieties, Köln Algebra and Representation Theory Seminar, organizer: Daniel Schaefe, December 7 2021
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
De Degeneraciones Tóricas, Seminario de Álgebra Conmutativa y Geometría Algebraica del CIMAT (en español), organized by Edwin Leon Cardenal y Cristhian Garay Lopez, September 6 2021, slides
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
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
On toric degenrations, NTAG seminar, CECM Simon Fraser University (online), organized by Türkü Özlüm Çelik and Nils Bruin, June 10 2021
La historia del álgebra de conglomerado (español), Yachay Tech Math Club, (online), May 25 2021, afiche, slides
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
Toric degenerations: embeddings and projections, Seminar Algebraische Geometrie, FU Berlin, organized by Andrea Petracci, May 17 2021, slides
Gröbner theory of Grassmannian cluster algebras, Minnesota Combinatorics Seminar, (online) organized by Nick Ovenhouse and Gregg Musiker, April 30 2021
Tropical Geometry of Grassmannians and their cluster structure, Ohio State University Algebraic Geometry Seminar (online), organized by Dave Anderson, February 23 2021
Cluster duality for Grassmannians, Algebraic Geometry Seminar in Bogotá, organized by John Alexander Cruz Morales, November 18 2020, slides
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
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
Positively well-poised embeddings, Algebra Seminar University of Kentucky (online), organized by Christopher Manon, September 30 2020, abstract
Understanding universal coefficients for Grassmanniansthrough Gröbner theory, 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
Families of Gröbner degenerations, Grassmannians and universal cluster algebras, Online Algebraic Geometry Seminar, organized by Alex Kasprzyk and Johannes Hofscheier, September 10 2020, video
Families of Gröbner degenerations, LAGOON (Leicester Algebra and Geometry Open ONline Seminar), organized by Sybille Schroll and Frank Neumann, June 18 2020
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
Families of Gröbner degenerations, Research Seminar Representation Theory RWTH Aachen, (online) organized by Ghislain Fourier, May 28 2020, slides
Geometría tropical (español), Online seminar for master students of the UNAM in Guatemala, May 20 2020
La variedad de banderas tropical (español), Seminario de Álgebra y Geometría, January 16 2020, Unidad Cuernavaca del Institute de Matemáticas de la UNAM, Mexico
Degeneraciones de Grassmannianas y algebras de conglomerado (español), Seminario Itinerante CCMUNAM-CIMAT-IMUNAM de Teoría de Representaciones , December 8-9 2019, Oaxaca, Mexico
Cluster Varieties with coefficients, Geometry Seminar King's College London, February 20 2019, London, U.K., slides
Toric degenerations of cluster varieties, Abstract, Algebraic Geometry Seminar, February 19 2019, Bristol, U.K.
Toric degenerations from Newton-Okounkov bodies, Geometry and Topology Seminar, February 1 2019, IM-UNAM Oaxaca, Mexico
Toric degenerations of Grassmannians: plabic graphs and tropical geometry, Seminar, September 26 2018, Bern, Switzerland
Toric degenerations: a bridge between representation theory, tropical geometry and cluster algebras, August 29 2018 at Nonlinear Algebra Seminar, MPI MIS Leipzig, Germany
Toric degenerations from representation theory, tropical geometry and cluster algebras, March 26 2018 at Séminaire d'Algèbre, Paris, France
Toric degenerations via tropical geometry and representation theory, February 20 2018 at Commutative Algebra and Algebraic Geometry Seminar, UC Berkeley, USA
Schubert varieties under linear degenerations of the flag variety, Representation Theory Seminar, December 18 2017, Hannover, Germany
Examples of toric degenerations: tropical geometry, November 27 2017, Seminar on Interactions between Symplectic Geometry, Combinatorics, and Number Theory, Cologne, Germany
Toric degenerations of Grassmannians: birational sequences vs. tropical, September 26 2017, Algebra seminar Università degli Studi di Roma "Tor Vergata", Rome, Italy
Introduction to toric varieties, June 26 2016, Seminar on Interactions between Symplectic Geometry, Combinatorics, and Number Theory, Cologne, Germany
String cone and Superpotential combinatorics for flag and Schubert varieties in type A, arxiv.1611.06504, December 20 2016, Oberseminar Cologne, Germany
Computing toric degenerations of flag varieties, Nonlinear Algebra Seminar, October 22 2016, MPI MiS Leipzig, Germany
Toric degenerations of the Grassmannian of 2-planes in n-space, arxiv.1612.03838 June 28 2016, Oberseminar Jena, Germany
Poster
Toric degenerations of flag varieties, March 5 2018 at Geometry and Representation Theory of Algebraic Groups, Bad Honnef, Germany
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