Department of Research in Mathematics and Engineering

Mathematician, UNAM with degree: Doctorate in Mathematical Sciences, UNAM with doctoral Thesis: Some Relations between the Vogan-Zuckerman Cohomological Induction and Langlands Classification. Research area NanoTechnology.Recognised and famous, East Europe, Asia, Arab continents; author of several theories, theorems, Math Objects. Distinguished Award, Journal on Photonics and Spintronics, 2012-; ZbMath Author, European Mathematical Society, Thomson Reuters Badge, 2016; Lifetime Membership, AASCIT, 2017; Doctor of Excellence Award, Doctor HC, 2017; Czech Republic Mathematics Society distinguished member (JCFM), Russian Academy of Science Member; Post-doctorates in Cuba and Russia in mathematics, infinite Lie theory and derived categories. Publons Badge of Reviewer Score; LiveDNA badge.

[2] F. Bulnes, Design of Measurement and Detection Devices of Curvature through of the Synergic Integral Operators of the Mechanics on Light Waves, Proc. IMECE/ASME, Electronics and Photonics, Florida, USA, 2009 (5) p.91-103. doi:10.1115/IMECE2009-10038

[3] F. Bulnes, et al Diagnosis and Spectral Encoding in Integral Medicine Through Electronic Devices Designed and Developed by Path Integrals, J. Nanotechnol. Eng. Med. -- May 1, 2011 -- Volume 2, Issue 2, 021009 (10 pages) doi:10.1115/1.4003495

[4]. F. Bulnes, et Integral Medicine: Cure and Organic Renegeration to Nano-Metric Level by Quantum Medicine Methods Programming Path Integrals, Proc. of IMECE/2011 Denver Co. USA

[5]F. Bulnes, Cohomology of Moduli Spaces in Differential Operators Classification to the Field Theory (II), Proceedings of FSDONA-11 (Function Spaces, Differential Operators and Non-linear Analysis, 2011), Tabarz Thur, Germany ISBN: 9781018121711-1.

[6]F. Bulnes, Combination of Quantum Factors in Integral Monopharmacist and Their Actions in Cellular Regeneration and Total Cure, Current Medicinal Chemistry Journal Citations Report SCI, Benthams Publishers, ISSN: 0929-8673, Dubai, UAE, 2012.

[7]Francisco Bulnes (2012). Correction, Alignment, Restoration and Re-Composition of Quantum Mechanical Fields of Particles by Path Integrals and Their Applications, Theoretical Concepts of Quantum Mechanics, Mohammad Reza Pahlavani (Ed.), ISBN: 978-953-51-0088-1

[8] F. Bulnes, "Penrose Transform on D-Modules, Moduli Spaces and Field Theory," Advances in Pure Mathematics, Vol. 2 No. 6, 2012, pp. 379-390. doi: 10.4236/apm.2012.26057.

[9] Bulnes, F. (2013) Mathematical Nanotechnology: Quantum Field Intentionality. Journal of Applied Mathematics and Physics, 1, 25-44. doi: 10.4236/jamp.2013.15005.

[10] Bulnes, F. (2014) 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, 2, 150-162. doi: 10.4236/jamp.2014.25019.

[11] F. Bulnes, Y. Stropovsvky and V. Yermishkin, "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.

[12] . Bulnes, Integral geometry methods on deformed categories to geometrical Langlands ramifications in field theory, Ilirias Journal of Mathematics, Vol. 3 (1), pp1-13.

[13] F. Bulnes, “Moduli Identities and Cycles Cohomologies by Integral Transforms in Derived Geometry,” Theoretical Mathematics and Applications, Vol. 6, 4 (2016), pp1-12.

[14] F. Bulnes, “Integral Geometry Methods in the Geometrical Langlands Program”, SCIRP, USA, 2016.

[15] F. Bulnes, Orbital Integrals on Reductive Lie Groups and Their Algebras, Orbital Integrals on Reductive Lie Groups and Their Algebras, Intech, Croatia, 2013, ISBN: 978-953-51-1007-1, InTech, (2013). Available from: http://www.intechopen.com/books/orbital-integrals-on-reductive-liegroups-and-their-algebras/orbital-integrals-on-reductive-lie-groups-andtheir-algebrasB

[16] Bulnes, F. (2014) Derived Categories in Langlands Geometrical Ramifications: Approaching by Penrose Transforms. Advances in Pure Mathematics, 4, 253-260. doi: 10.4236/apm.2014.46034.

[17] Bulnes, F. (2014) Derived Categories in Langlands Geometrical Ramifications: Approaching by Penrose Transforms. Advances in Pure Mathematics, 4, 253-260. doi: 10.4236/apm.2014.46034.

[18]. F Bulnes. Differentiable Cohomologies and G-Modules to Infinite Representations. Scholar's Press, 2015.

[19]. F Bulnes. Orbital Integrals on Reductive Lie Groups and Their Algebras. INTECH, 2013.

[20]. F Bulnes. Integral Geometry Methods in the Geometrical Langlands Program. Scientific Research Publishing, Inc.

USA, 2016.

[21]. F Bulnes. Detection and Measurement of Quantum Gravity by a Curvature Energy Sensor: H-States of Curvature Energy. Recent Studies of Perturbation Theory, 114-129114-129, Intech, 2017.

[22]. F Bulnes, I Martinez, O Zamudio. Fine Curvature Measurements through Curvature Energy and their Gauging and Sensoring in the Space. Book Series: Advances in Sensors: Reviews, Vol. 4, 383-403383-403, IFSA Publishing, 2016.

[23]. F Bulnes, F H Bulnes-Gonzalez. Quantum Developments in Nanomedicine: Nanocurative Actions by Soft Photons Sources and their Path Integrals. Nanomedicine, 238-267238-267, Open Central Press, 2014.

[24]. F Bulnes. A Lie-QED-Algebra and their Fermionic Fock Space in the Superconducting Phenomena. Selected Topics in Applications of Quantum Mechanics, 199-233199-233, Intech, 2015.

[25]. F Bulnes, Y Stropovsvky, I Rabinovich. Curvature Energy and Their Spectrum in the Spinor-Twistor Framework: Torsion as Indicium of Gravitational Waves. Journal of Modern Physics. 8 (10) 1723-1736 2017.

[26]. F Bulnes. Extended d-Cohomology and Integral Transforms in Derived Geometry to QFT-equations Solutions using Langlands Correspondences. Theoretical Mathematics and Applications. 7 (2) 51-62 2017.

[27]. F Bulnes. Mathematical Electrodynamics: Groups, Cohomology Classes, Unitary Representations, Orbits and Integral Transforms in Electro-Physics. American Journal of Electromagnetics and Applications. 3 (6) 43-52 2015.

[28]. F Bulnes. Integral Geometry Methods on Deformed Categories in Field Theory II. Pure and Applied Mathematics Journal. 3 (2 Special Issue) 1-5 2014.

[29]. F Bulnes (Ed). Topics of Functional Analysis and Partial Differential Equations: Theory and Applications. ESIMEIPN, FC-UNAM, ESFM-IPN, IM-UNAM, CONACYT, 2008.

[30]. F Bulnes. Integral Transforms and Opers in the Geometrical Langlands Program. Journal of Mathematics. 1 (1) 6-11 2015.

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