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Perfil investigador
Esp
Dr. José Antonio Santiago García

Professor
Departament of Applied Mathematics and Systems

Division of Natural Sciences and Engineering


Level 2
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences



Cuajimalpa Campus

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Sustainable Development Goals

• 3 Good Health and Well-Being

• 4 Quality Education

• 8 Decent Work and Economic Growth


Research interests

• Elasticity of biological membranes
• Induced stress by nematic textures in fluid membranes
• Topológical defects and interactions on curved membranes
• Geometry of the condensed matter
• Phase transitions and critical phenomena

Profile

Dr. Santiago completed his undergraduate, master's, and doctoral studies at the National Autonomous University of Mexico (UNAM). He began his academic career as an adjunct professor at the University of Hidalgo before joining the Universidad Autónoma Metropolitana, Cuajimalpa Campus, in 2009. His tenure at UAM started as a visiting professor, and in 2011 he assumed a permanent position in the Department of Applied Mathematics and Systems (DMAS).

Throughout his career, Dr. Santiago has conducted research stays at prestigious international institutions, including the International Centre for Theoretical Physics (ICTP) in Italy, the Dublin Institute for Advanced Studies (DIAS) in Ireland, the Free University of Berlin in Germany, and most recently, the Complutense University of Madrid in Spain.

During his doctoral studies, Dr. Santiago specialized in the study of phase transitions using quantum field theory techniques, while also exploring the elasticity of biological membranes. His primary research interest lies in this latter field, as it bridges abstract challenges, such as field theory in curved spaces, with applied analyses, such as the forces involved in the process of cell division.

Dr. Santiago is currently working on establishing a high-level research group focused on developing theoretical and practical solutions in these interdisciplinary areas. His goal is to address significant scientific challenges and contribute to both the advancement of knowledge and the resolution of associated practical problems.



Information provided by the academic staff

Research interests

• Elasticity of biological membranes
• Induced stress by nematic textures in fluid membranes
• Topológical defects and interactions on curved membranes
• Geometry of the condensed matter
• Phase transitions and critical phenomena

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
OACaselli, N., García-Verdugo, M., Calero, M. and 4 more (...) (2024).Red blood cell flickering activity locally controlled by holographic optical tweezers. iScience,27(6)
OAKharbedia, M., Caselli, N., Calero, M. and 5 more (...) (2024).Collective lattice excitations in the dynamic route for melting hydrodynamic two-dimensional crystals. Physical Review Research,6(4)
OALópez-Menéndez, H., Luque-Rioja, C., Kharbedia, M. and 3 more (...) (2024).Multiscale modelling of active hydrogel elasticity driven by living polymers: softening by bacterial motor protein FtsZ. Soft Matter,21(4) 670-686
OASantiago, J.A., Monroy, F. (2023).Inhomogeneous Canham–Helfrich Abscission in Catenoid Necks under Critical Membrane Mosaicity. Membranes,13(9)
Torres-Vargas, G., Tapia-Ignacio, C., Donado, F. and 2 more (...) (2021).Emergence of scale invariance in the dynamics of an ellipsoidal particle on a granular magnetic bath. Physica A: Statistical Mechanics and its Applications,572
OAKharbedia, M., Caselli, N., Herráez-Aguilar, D. and 4 more (...) (2021).Moulding hydrodynamic 2D-crystals upon parametric Faraday waves in shear-functionalized water surfaces. Nature Communications,12(1)
OASantiago, J.A., Monroy, F. (2020).Mechanics of nematic membranes: Euler-Lagrange equations, Noether charges, stress, torque and boundary conditions of the surface Frank's nematic field. Journal of Physics A: Mathematical and Theoretical,53(16)

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
25O
Temas Selectos de Matemáticas Aplicadas IILicenciatura
2
25O
Temas Selectos de Matemáticas Aplicadas IIILicenciatura
3
25O
Ecuaciones Diferenciales Ordinarias IILicenciatura
4
25O
Proyecto Terminal ILicenciatura
5
25O
Proyecto Terminal IILicenciatura
6
25O
Proyecto Terminal IIILicenciatura
7
25O
Temas Selectos de Matemáticas Aplicadas ILicenciatura
8
25P
Proyecto Terminal ILicenciatura
9
25P
Proyecto Terminal ILicenciatura
10
25P
Proyecto Terminal ILicenciatura
11
25P
Geometría DiferencialLicenciatura
12
25I
Física ClásicaLicenciatura
13
25I
Proyecto Terminal IILicenciatura
14
25I
Proyecto Terminal IIILicenciatura
15
25I
Proyecto Terminal IIILicenciatura
16
24O
Calculo IILicenciatura
17
24O
Proyecto Terminal IILicenciatura
18
24P
Calculo de VariacionesLicenciatura
19
24P
Proyecto Terminal ILicenciatura
20
24P
Proyecto Terminal ILicenciatura
21
24P
Proyecto Terminal ILicenciatura
22
24P
Proyecto Terminal ILicenciatura
23
24P
Geometría DiferencialLicenciatura
24
24I
Física ClásicaLicenciatura
25
24I
Ecuaciones Diferenciales Ordinarias ILicenciatura
26
23O
Taller de Literacidad AcadémicaLicenciatura
27
23O
Ecuaciones Diferenciales Ordinarias IILicenciatura
28
23P
Geometría DiferencialLicenciatura
29
23P
Proyecto Terminal IIILicenciatura
30
23I
GeometríaLicenciatura
31
22O
Calculo IILicenciatura
32
22O
Proyecto Terminal IILicenciatura
33
22P
Variable ComplejaLicenciatura
34
22P
Geometría DiferencialLicenciatura
35
22I
Introducción al CalculoLicenciatura
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