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Perfil investigador
Esp
Dr. Luis Miguel Villegas Silva

Professor
Departament of Mathematics

Division of Basic Sciences and Engineering


Level 1
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences



Iztapalapa Campus

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Sites of interest

• Personal Web Site

Sustainable Development Goals

• 1 No Poverty

• 4 Quality Education

• 7 Affordable and Clean Energy

• 8 Decent Work and Economic Growth

• 9 Industry, Innovation and Infrastructure


Research interests

• Set Theory
• mathematical logic
• model theory
• expert systems
• Ferrous metallurgy

Profile

Professor Luis Miguel Villegas Silva was born in Mexico City. He studied Chemical Metallurgical Engineering at the Faculty of Chemistry of the Universidad Nacional Autónoma de México (UNAM). He received a Master's degree in Mathematical Sciences from the Faculty of Sciences of UNAM.

He has been a Professor at the Faculty of Chemistry and Faculty of Sciences (UNAM), and at the Department of Mathematics of the Universidad Autónoma Metropolitana (UAM). He made research stays at the Humboldt University of Berlin, Freiburg, and Greifswald in Germany, the Free University of Amsterdam, The Netherlands, the Institute of Mathematics University of Oslo, Norway, Department of Mathematics (Bogota) of the National University of Colombia.

He has published several books (some co-authored) on set theory, mathematical logic, and topological groups. He has also published numerous research articles (some co-authored) in specialized journals.

His areas of interest are set theory, mathematical logic, logic programming, and ferrous metallurgy. He is currently a Professor in the Department of Mathematics at the Universidad Autónoma Metropolitana, Iztapalapa Campus.



Information provided by the academic staff

Research interests

• Set Theory
• mathematical logic
• model theory
• expert systems
• Ferrous metallurgy

Academic Work

On the following pages you can consult the research work:



Other sites of interest

Consult the research work on other websites:






Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
Nido Valencia, J.A., Salazar Pedroza, H.G., Villegas Silva, L.M. (2020).Compactness phenomena around the class of locally projective modules. Houston Journal of Mathematics,46(4) 859-895

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
25O
Trabajo de Investigación VIPosgrado
2
25O
Introducción a la Investigación IIPosgrado
3
25P
Introducción a la Investigación IPosgrado
4
25P
Trabajo de Investigación VPosgrado
5
25I
Trabajo de Investigación IVPosgrado
6
24O
Trabajo de Investigación IIIPosgrado
7
24P
Trabajo de Investigación IIPosgrado
8
24I
Trabajo de Investigación IPosgrado
9
23O
Proyecto de Investigación ILicenciatura
10
23O
Teoría de ConjuntosPosgrado
11
23O
Lógica IPosgrado
12
23O
Trabajo de Investigación VIPosgrado
13
23P
Teoría de Conjuntos Avanzada IIPosgrado
14
23P
Trabajo de Investigación VPosgrado
15
23P
Introducción a la Investigación IIIPosgrado
16
23P
Ecuaciones Diferenciales ParcialesLicenciatura
17
23I
Ecuaciones Diferenciales Ordinarias ILicenciatura
18
23I
Teoría de ConjuntosLicenciatura
19
23I
Trabajo de Investigación IVPosgrado
20
22O
Calculo de Varias Variables IILicenciatura
21
22O
LógicaLicenciatura
22
22O
Trabajo de Investigación IIIPosgrado
23
22P
Ecuaciones Diferenciales ParcialesLicenciatura
24
22P
Trabajo de Investigación IIPosgrado
25
22I
Ecuaciones Diferenciales Ordinarias ILicenciatura
26
22I
Proyecto de Investigación ILicenciatura
27
22I
Teoría de ConjuntosLicenciatura
28
22I
Trabajo de Investigación IPosgrado
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Universidad Autónoma Metropolitana, 2025.