Department of Research in Mathematics and Engineering

Research Department in Mathematics and Engineering, TESCHA

Department of Research in Mathematics and Engineering

Research Department in Mathematics and Engineering, TESCHA

Research Department in Mathematics and Engineering, TESCHA

[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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