-Research in pure and applied mathMain interests-Algebraic Geometry: tropical, real and enumerative, low-rank non-Archimedean (NA) (Tate rigid, Berkovich), complex-Combinatorics: (Valuated, Coxeter, Infinite) Matroids, Tropical Convexity-Tropical Differential Equations (TDEs) and applications to classical algebraic DEs, differential semirings.-Also: -(commutative and associative) Algebraic structures and their associated geometry : (marked) monoids, semirings, hyper-rings, lattices (order theory), NA-seminorms (valuations), abelian lattice-ordered groups.-Higher Rank NA-Geometry (Adic or Huber spaces, Riemann-Zariski spaces), -Computational (Commutative, differential) Algebra-Secondary interests: Topology (algebraic, combinatorial), Geometric Model Theory (Logic), Singularity theory, Arithmetic algebraic geometry, Elliptic curves.-Tertiary Interests : Probability (stochastic processes), Statistics (design of experiments), General Physics, Cryptography.Service- Reviewer for -zbMATH Open (2022-)-AMS Mathematical Reviews (2023-)-Organizer of the CIMPA School "Algebraic and Tropical Methods for Solving Differential Equations" (2023)-ATER (Attaché Temporaire d'Enseignement et Recherche, Temporary Teaching and Research Attaché, full time), Faculté de Mathématiques, Université Pierre et Marie Curie Paris VI, (2012-2014, Ministry of National Education of France), and-Adjoint editor for school textbooks (basic mathematics, secondary school, year 2009), 2/2 approved by the Ministry of Public Education of Mexico (SEP), and-Speaker for international events: Joint meeting of the Mexican and Colombian mathematical societies (Colombia, 2018), Tropical Differential Algebra Workshop (QMUL, UK '19), Escola Transguanabara de Geometria Algébrica (UFF & IMPA, Brazil '20), Latin American Congress on Math (CLAM '21, Uruguay), the Mathematical Congress of the Americas 2021 (MCA '21, Argentina), Geometry at the Frontier (Universidad de La Frontera, Chile '22), the Lethbridge Number Theory Seminar (Canada, '23), Colombian Encounter of Tropical ('24)- I have been supported by several international institutions to do research stays, e.g. Foundation Sciences Mathématiques de Paris, Laboratoire International Solomon Lefschetz - LaSoL, The Mexican Academy of Sciences (AMS), The Mexican Scientific Council for Science and Technology (Conacyt), The Brazilian Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Dagstuhl seminar, Les Moutons Matheux - Centre de Recherche du Larzac Méridional, IMPA, CMO-BIRS, CIMPA, Math AmSud, PIMS, VIASM, etc.