From 01/2000 to 01/2004, Doctorate
From 04/2006 to 12/2007, PostDoctorate
From 01/2000 to 01/2002, Coordinator of Mathematics
Valley of Mexico University
From 12/2000 to 12/2007, Co-Principal of Research Seminar in Representation Theory of Reductive Lie Groups
Institute of Mathematics, UNAM
From 09/2003 to 09/2005, Invited Professor of Mathematics in Postgraduate Program
UVM Postgraduate Program, UTECAM, AMIME
From 09/2009 to Actually, Head of Research Department in Mathematics and Engineering
From 05/2006 to Actually, Infinite Lie Theory and their Applications on Informatics and Quantum Mechanics
To develop and create new methods in nanomedicine and nanotechnology
From 01/2009 to Actually, Geometrical Langlands Program and Integral Geometry Methods
Using the several Penrose transforms on deformed categories we obtain Langlands correspondences between stacks moduli and cohomologies of solution classes to field theory
Infinite Lie Theory
Cohomology of Cycles (Motivic and Relative)
Moduli Spaces and K-Theory
Quantum Mechanics and Electrodynamics
Orbital Integrals on Reductive Lie Groups and Their Algebras, Intech, Croatia, ISBN: 978-953-51-1007-1, InTech, Francisco Bulnes
Analysis and Design of Algorithms to Applied Informatics Mastering, University of Informatics Science, ISBN: 978-959-08-0950-7, Cuba; Francisco Bulnes
(g, K)-Modules Theory, SEPI-IPN, IM-UNAM, CINVESTAV, ISBN: 970-36-0286-X, Mexico, Francisco Bulnes
On a General Theory of Integral Operators to the Develpment of Analysis and Geometry, SEPI-IPN, IM-UNAM, CINVESTAV, Mexico, ISBN: 978-970-360-442-5, F. Bulnes, and M. Shapiro
Conferences of Lie Groups (Compilation of the Research Seminar in Representation Theory of Reductive Lie Groups), IM-UNAM, Mexico ISBN: 970-360-2893, Francisco Bulnes
Penrose Transform on Induced DG/H-Modules and Their Moduli Stacks in the Field Theory, Advances in Pure Mathematics, SCIRP, ISSN:2160-0368, 3 (2) (2013) 246-253. doi: 10.4236/apm.2013.32035. Francisco Bulnes
Mathematical Nanotechnology: Quantum Field Intentionality, Journal of Applied Mathematics and Physics, SCIRP, ISSN: 2327-4352, 1 (4) 2013, pp25-44, Francisco Bulnes
Geometrical Langlands Ramifications and Differential Operators Classification by Coherent D-Modules in Field Theory, Journal of Mathematics and System Sciences, David Publishing, ISSN: 2159-5291 Vol. 3, no.10, pp491-507, Francisco Bulnes
Framework of Penrose Transforms on Dp-Modules to the Electromagnetic Carpet of the Space-Time from the Moduli Stacks Perspective, Journal of Applied Mathematics and Physics, SCIRP, ISSN: 2327-4352, 2 (5) 2014, pp150-162, Francisco Bulnes
Electromagnetic Gauges and Maxwell Lagrangians Applied to the Determination of Curvature in the Space-Time and their Applications, Journal of Electromagnetic Analysis and Applications, SCIRP, ISSN:1942-0730, (4) 6 2012, pp252-266. Francisco Bulnes
Penrose Transform on D-Modules, Moduli Spaces and Field Theory Advances in Pure Mathematics, SCIRP, ISSN:2160-0368, Vol.2 No.6, November 12, 2012, pp379-390, Francisco Bulnes
Derived Categories in Langlands Geometrical Ramifications: Approaching by Penrose Transforms, Advances in Pure Mathematics, SCIRP, ISSN: 2160-0368 4 (6) 2014, pp253-260, Francisco Bulnes
Diagnosis and Spectral Encoding in Integral Medicine through Electronic Devices Designed and Developed by Path Integrals, Journal of Nanotechnology in Engineering and Medicine ASME, USA, 2011, pp 021009(2) 10., F. Bulnes et al.
Quantum Medicine Actions: Programming Path Integrals on Integral Mono-Pharmacists for Strengthening and Arranging of the Mind on Body,” Journal of Frontiers of Public Health, ISSN: 2227-457X, 2012; Vol. (1), Issue 3, Hong, Kong, China, 2012 pp.57-65. http://www.jphf.org/paperInfo.aspx?ID=21, F. Bulnes, and F. H. Bulnes
Symptom Quantum Theory: Loops and Nodes in Psychology and Nanometric Actions by Quantum Medicine on the Mind Mechanisms Programming Path Integrals,” Journal of Smart Nanosystems in Engineering and Medicine 2012, F. Bulnes, F. H. Bulnes
Homological Electromagnetism and Electromagnetic Demonstrations on the Existence of Superconducting Effects Necessaries to Magnetic Levitation/Suspension, Journal of Electromagnetic Analysis and Applications, Vol. 5 No. 6, 2013, pp. 255-263. doi: 10.4236/jemaa.2013.56041.F. Bulnes and A. Álvarez
Quasi-Relaxation Transforms, Meromorphic Curves and Hereditary Integrals of the Stress-Deformation Tensor to Metallic Specimens, Modern Mechanical Engineering, Vol. 2 No. 3, 2012, pp. 92-105. doi: 10.4236/mme.2012.23012. F. Bulnes, Y. Stropovsvky and V. Yermishkin
Design and Development of an Electronic Sensor to Detect and Measure Curvature of Spaces Using Curvature Energy," Journal of Sensor Technology, Vol. 2 No. 3, 2012, pp. 116-126. doi: 10.4236/jst.2012.23017. F. Bulnes et al.
F. Bulnes, Cohomology of Moduli Spaces in Differential Operators Classification to the Field Theory (II), in: Proceedings of Function Spaces, Differential Operators and Non-linear Analysis., September 18-24, 2011, Tabarz Thur, Germany, Vol. 1 (12) pp001-022, Organized by Jena University
F. Bulnes, Framework of Penrose Transforms on Dp-Modules to the Electromagnetic Carpet of the Space-Time from the Moduli Stacks Perspective, Applied Mathematics and Engineering, SCET 2014, April, 2014, Shanghai, China, Organized by SCIRP
F. Bulnes, Analysis of prospective and development of effective technologies through integral synergic operators of the mechanics, CCIA-CIMM 2008, CUJAE, Cuba, ed., Vol. 1.
F. Bulnes, Design and Development of an impeller synergic system of electromagnetic type for levitation, suspension and movement of symmetrical bodies, IMECE/ASME, British Columbia, Canada, 2010.
F. Bulnes, Integral Medicine: Cure and Organic Renegeration to Nano-Metric Level by Quantum Medicine Methods Programming Path Integrals, Vol 2: Biomedical and Biotechnology Engineering; Nanoengineering for Medicine, ASME, Denver, Co., USA, 2011.