For a long time, apoptosis was considered the sole form of programmed cell death during development, homeostasis and disease, whereas necrosis was regarded as an unregulated and uncontrollable process. Evidence now reveals that necrosis can also…
Geometry
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Notes for a class taught at the University of Kaiserslautern 2002/2003
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This is an expanded version of lectures given at a Summer School "Geometric methods in Representation Theory" (Grenoble, 2008).
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We consider using multi-input multi-output (MIMO) radar to improve the ground moving target indication (GMTI) performance, especially for slowly moving targets, for airborne surveillance systems. The increased virtual aperture afforded by MIMO radar…
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In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable…
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Eight juvenile cattle with symptoms of hyena disease are described. This represents the first occurrence of the condition in the Republic of Poland. The growth of the affected animals was retarded, with a marked difference in longitudinal growth of…
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Quenched disorder is known to play a relevant role in dynamical processes and phase transitions. Its effects on the dynamics of complex networks have hardly been studied. Aimed at filling this gap, we analyze the contact process, i.e., the simplest…
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This is a survey paper discussing the moduli problem for varieties of general type.
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The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N=4 super Yang-Mills theory in four dimensions. The key ingredients are electric-magnetic duality of gauge theory, mirror…
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Definition of stability for hypersurfaces of constant mean curvature in a Riemannian manifold is given and it is proved that geodesic spheres are the only stable compact hypersurfaces (without boundary) in a simply connected, complete Riemannan…
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I have just replaced the first line by %&amslplain in order to be compiled by AMS-LaTeX.
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We discuss the role played by logarithmic structures in the theory of moduli.
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One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the…
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Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algorithms that the theory provides. Users get the…
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Aseries of nine lectures on Lie groups and symplectic geometry delivered at the Regional Geometry Institute in Park City, Utah, 24 June20 July 1991.
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This text has been adopted at: University of Pennsylvania, Philadelphia University of Connecticut, Storrs Duke University, Durham, NC California Institute of Technology, Pasadena University of Washington, Seattle Swarthmore College, Swarthmore, PA…
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Student (Postgraduate)Hong Kong University of Science and Technology (HKUST) -
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ProfessorMathematics Department, Columbia University -
Post DocStanford, California, United States -
Ph.D. StudentCalifornia Institute of Technology