By 1993, the faculty continued to grow-up with the hiring of the following researchers as Associate Professors: Isidoro Gitler (combinatorial and discrete optimization), José Martínez Bernal (algebraic geometry), Víctor Martínez (quasiclassical asymptotics), Tomas E. Gilsdorf (real analysis), Simone Hazan (universal algebra, partial orders, graphs, in the Lefschetz Chair), Steven Kangas (topology, in the Lefschetz Chair), Daniel Hernández (stochastic control), Catherine Searle (differential geometry), Piotr N. Zevandrov (quasi-classical asymptotics, wave propagation), and the following as head researchers: Michael Shapiro (complex variable; visitor), Rodolfo Suárez (control theory; visitor on sabbatical stay), Nikolai Vasilevski (operator algebras, complex analysis) and Carlos Videla (mathematical logic).
Likewise, 27 internationally recognized researchers, funded by the Cinvestav and Conacyt, visited the Cinvestav, among them, Vladimir Belov (quasiclassical asymptotics and mathematical physics), Manoj Chari (combinatorial and discrete optimization), Adalberto García-Máynez (topology), Martin Guest (topology and differential geometry), Wieslaw Krolikovski (hypercomplex analysis, quaternionic analysis), Arturo Kohatsu (stochastic processes), Jean B. Lasserre (stochastic control and optimization), Julián Lawrynowicz (hypercomplex analysis), Wolfgang Runggaldier (stochastic control), Joseph Varilly (canonical symmetries and geometric quantization schemes), Josef Zajac (quasiconformal mapping) and Mario Zuluaga (nonlinear analysis).
During the period 1990 to 1993, around 53 research articles were published in various prestigious international journals. Also, 20 students obtained the degree of Master of Science, and six the degree of Doctor of Science.
In 1994, 11 visiting professors arrived, including Vladimir Belov quasiclassical asymptotics and mathematical physics), Rolando Cavazos (Markovian decision processes), Sergei Yu Dobrokhotov (quasiclassical asymptotics), Emmanuel Fernández-Guacherand (stochastic control), Arturo Kohatsu (stochastic processes) and John Ryan (Clifford analysis). During that year, around 15 research articles were published in various internationally renowned journals, five popular articles and two research books. In addition, five students obtained the degree of Master of Science.
By that time, the Department's facilities were already insufficient to house all its members, so it was proposed to expand the building and an attempt was made to temporarily solve the space problem by renting a house in the Lindavista neighborhood so that the students would have a place to study. However, this solution did not work, so some "booths" (rather "sheds") began to be built on the Zacatenco land for some of the Departments with space problems. However, difficulties with the construction company delayed their completion to such an extent that the Department never used them. Meanwhile, thanks to a "macro project", several buildings were built, one of which the Department of Mathematics was to occupy, but only after several years due to problems with the construction companies.
In 1995 several internationally renowned researchers visited the Department, for example: André Bouchet (delta matroids and circular graphs), Benjamin Duran (statistics), Francois Jaeger (combinatorial knot theory and graph theory), Vladimir V. Kisil (complex analysis and operator theory), Ludger Overbeck (probability), Edouard Wagneur (discrete event systems). The in the Lefschetz Chair was Piotr Rybka (partial differential equations).
During this year, Luis G. Gorostiza organized the special session on Stochastic Processes within the II Joint Meeting AMS-SMM, which was held in the city of Guanajuato, and Enrique Ramírez de Arellano the special session on Complex Analysis and Theory of Operators in the same event. Eight students earned a Master of Science degree.
In 1996 Valeri Kucherenko (partial differential equations, asymptotic methods) joined the faculty as a visitor. During this year, several researchers participated in the organization of various activities to celebrate the 35th anniversary of Cinvestav; to mention a few, Isidoro Gitler and José Martínez Bernal, the Research Workshop on Combinatorial and Computational Aspects of Optimization, Topology and Algebra (ACCOTA'96); Jesús González, the Algebraic Topology Workshop; Luis G. Gorostiza, the IV Symposium on Probability and Stochastic Processes; Onésimo Hernández-Lerma, the Workshop on Stochastic Control; Enrique Ramírez de Arellano and Nikolai Vasilevski, the International Symposium on Complex Analysis and Related Topics and the North-South Inter-Institutional Analysis Seminar. These activities were attended by more than 150 researchers of international prestige.
In this same year, professors and students of the Department began the publication of the magazine "Morfismos, Student Communications from the Department of Mathematics". Its objective is to ensure that students, both from Cinvestav and from other national and international institutions, gain experience in writing mathematical results. Mathematical research reports or abstracts of bachelor's, master's or doctoral theses are published in the journal, as well as original articles on the results or on the methods. The editorial board is made up of at least two doctoral students and four professors from the Department. Also, Tomasz Bojdecki (stochastic processes), André Bouchet (multimatroids), Wieslaw Królikovski (Clifford analysis), Mario Zuluaga (non-linear elliptical partial equations) came to the institution as visiting researchers.
During this year the review of the study plans began and, as a consequence, the basic course programs were modified and the need arose to expand the range of topics cultivated in the Department towards applied areas. In particular, a proposal was developed to establish an option within the master's program that would include, for example, topics of computation, optimization, control and financial mathematics. After a thorough review, the Cinvestav Academic Advisory Council finally approved the option in computational mathematics.
About 23 research articles were published in international journals, six long articles in conference proceedings, one book in Springer publishing house, New York. Seven students obtained the degree of Master of Science and one the Doctor of Science, specializing in mathematics.
In 1997, After a delay of several years, the Department was finally able to move into a new building, larger than the previous one. Mordechai Katzman (commutative algebra) held the Lefschetz Chair. Roberto Quezada, Raúl Quiroga (differential geometry), Ekaterina Todorova (probability and stochastic processes), Ernesto Lupercio and Miguel Xicoténcatl (algebraic topology) joined as Associate Professors, and José A. López (probability and stochastic processes) and Rafael H. Villarreal (commutative algebra and algebraic geometry) entered as Full Professors.
The Department received visits by several researchers from various institutions abroad, for example: Luigi Accardi (probability, mathematical physics), Lev Aizenberg (several complex variables), Guillermo Ferreyra (stochastic systems); Martin Guest (algebraic topology), James Milgram (algebraic topology), Constantin Tudor (stochastic calculus in the canonical Poisson space), Michael Wolf (modules of Riemann surfaces). This year the preparatory courses were implemented, in order to improve the academic level and mathematical maturity of the students who wanted to enter the master's program.
Sixteen communications were presented at international conferences, To mention a few: 103rd Annual Meeting of AMS, Algebraic Topology Conference, Infinite Dimensional Analysis and Quantum Probability, Conference Decision and Control, International Conference on Dynamical Systems and Joint Meeting of Canadian Operator Algebra Symposium, among others.
Around 24 research articles were published in internationally recognized journals. Five students obtained the degree of teacher of science and six the degree of Doctor of Science, in the specialty of mathematics.
In 1998, the Lefschetz Chair was Alexey Karapetyants (operator theory and complex analysis). In addition, various researchers visited the Cinvestav to collaborate in research work with colleagues who belong to the teaching staff; to mention a few: Venkat Anantharam and Jean B. Lasserre (stochastic systems), Alberto Candel (self-intersecting local foliations), Boris Mityagin (theory of operators), Mijail A. Shubin (complex variables, analysis in manifolds).
Around 24 research articles were published in internationally recognized journals. Five students obtained the degree of teacher of science and six the degree of Doctor of Science, in the specialty of mathematics.
In 1998, the Lefschetz Chair was Alexey Karapetyants (operator theory and complex analysis). In addition, various researchers visited the Cinvestav to collaborate in research work with colleagues who belong to the teaching staff; to mention a few: Venkat Anantharam and Jean B. Lasserre (stochastic systems), Alberto Candel (self-intersecting local foliations), Boris Mityagin (theory of operators), Mijail A. Shubin (complex variables, analysis in manifolds).
Several members of our faculty participated during this year in different evaluation committees, for example: Conacyt projects, the National Commission for Scientific and Technological Research (Chile) and the Judging Commission of Area 1 of the National System of Researchers, among others.
Also, some researchers participated as editors in the Boletín de la Sociedad Matemática Mexicana, the Revista Iberoamericana de Matemáticas, the Applicationes Matemáticas (Polish Academy of Sciences), etc. Once again, ACCOTA'98 was organized, in which national and foreign researchers of great prestige met. Further, financial support was obtained for eight research projects, six students obtained the degree of Master of Science and three that of Doctor of Science.
In 2000, the department's researchers published 40 research papers, a 50% increase from the average for previous years. In December 2001, the International Workshop on Algebra, Analysis and Algebraic Topology was held, with substantial support from the National Science Foundation of the United States.
The Department is a leader in the development of mathematics in Mexico. It has achieved the highest efficiency in the country in obtaining master's and doctorate degrees in the area of mathematics, as well as in the publication of original research articles. Although it is not the largest mathematics department in the country, it does have the highest productivity index per researcher among all the institutions dedicated to mathematics in Mexico. It has an academic staff of 29 researchers dedicated to various branches: six in algebraic topology, five in analysis, five in stochastic processes, four in algebra, four in combinatorics, two in numerical analysis, two in differential geometry and one in mathematical logic.
In addition, it has 23 master's and 13 doctoral students. Its master's and doctoral programs are on the Conacyt standard of excellence. Until 2001, 195 master's degrees and 51 doctoral degrees were awarded. Its library is one of the best in the country in its specialty; it has nearly 15,000 books and receives 299 periodicals and 58 serials through subscriptions, exchanges, and donations. It has a computer lab and access to computer centers of other national and international institutions.