Geometry, Algebra and Applications: From Mechanics to Cryptography / Springer Proceedings in Mathematics & Statistics Bd.161 (PDF)
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This volume collects contributions written by different experts in honor of Prof. Jaime Muñoz Masqué. It covers a wide variety of research topics, from differential geometry to algebra, but particularly focuses on the geometric formulation of variational calculus; geometric mechanics and field theories; symmetries and conservation laws of differential equations, and pseudo-Riemannian geometry of homogeneous spaces. It also discusses algebraic applications to cryptography and number theory. It offers state-of-the-art contributions in the context of current research trends. The final result is a challenging panoramic view of connecting problems that initially appear distant.
Madrid. He is currently Profesor Titular at the Universidad Complutense de
Madrid, where he also received his Ph.D. in Mathematics. He was a postdoc at École
Polytechnique Fédérale de Lausanne (Switzerland), and Faculty Visitor at
Caltech (Pasadena, USA), PIMS (Vancouver, Canada), Imperial College (London,
UK), TATA Institute (Mumbay, India) and PUC (Rio de Janeiro, Brazil). His research
work mainly focuses on geometric variational calculus, gauge theories and
Riemannian geometry with applications to relativity, classical field theories and
other topics in theoretical physics. His has over 50 publications and books to
his name.
Prof. Pedro M. Gadea taught at the Universities of
Santiago de Compostela and Valladolid in Spain. He is now a scientific
researcher at the Instituto de Física Fundamental, CSIC, Madrid, Spain. He has published
almost seventy research papers on several topics of differential geometry and algebraic
topology. He has also been the advisor for four Ph.D. theses. His current
interests are Differential Geometry, more specifically in homogeneous spin
Riemannian manifolds and Ricci-flat invariant Kähler structures.
L. Hernández Encinas graduated in Mathematics at the University of Salamanca (Spain) in 1980,
and received his Ph.D. in Mathematics at the same university in 1992. He is a
researcher at the Department of Information Processing and Cryptography (TIC)
at the Institute of Physical and Information Technologies (ITEFI), Spanish
National Research Council (CSIC) in Madrid. He has participated in more than 30
research projects. He is author of 9 books, 9 patents, more than 150 papers, and
over 100 contributions to workshops and conferences. He has also supervised several
doctoral theses. His current research interests include
cryptography and cryptanalysis of public key cryptosystems, digital signature schemes,
authentication and identification
attacks, and number theory problems.
M. Eugenia Rosado María graduated in Mathematics at the
University Complutense de Madrid, and obtained her Ph.D. in Mathematics at the
same university. She taught at the Universities Autónoma de Madrid, Spain and currently
teaches at the Universidad Politécnica de Madrid. She has published around 20
papers on several topics in differential geometry. Her research interests are
in geometrical variational calculus, geometric methods in differential
equations, differential invariants and other topics in differential geometry.
- 2016, 1st ed. 2016, 198 Seiten, Englisch
- Herausgegeben: Marco Castrillón López, Luis Hernández Encinas, Pedro Martínez Gadea, Mª Eugenia Rosado María
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319320858
- ISBN-13: 9783319320854
- Erscheinungsdatum: 30.06.2016
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