Martin Väth

Member for 3 years, 7 months

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Pfäffikon SZ, Freienbach, Schweiz
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About
Since November 2018 working for Google, Switzerland in Zürich.
Previous temporary professorships in Mathematics, Researcher/Privatdozent in Mathematics (chronologically decreasing order):
 Free University of Berlin (Germany)
 Institute of Mathematics of the Czech Academy of Sciences (Czech Republic)
 University of Rostock (Germany)
 University of Gießen (Germany)
 Univesrity of Eichstätt (Germany)
 University of Würzburg (Germany)
Research interest mainly: Linear and Nonlinear Analysis, including but not restricted to:
 toppological and geometric methods (e.g. degree and Nielsen theory, Morse index, multivalued maps)
 partial and ordinary differential equations, particularly reactiondiffusion systems nonsmooth problems (obstacle problems, variational inequalities, differential inclusions, …)
 linear and nonlinear spectral theory
 particular operators (Urysohn, Hammerstein, superposition operators)
 nonlinear dynamical systems and bifurcation theory
 integral equations (also of vector functions)
 Volterra and functional differential equations
 function spaces; in particular, spaces of measurable functions
 positive operators and lattices
 Weyl calculus and noncommutative harmonic analysis
 connections with logic and set theory (axiom of choice, continuum hypothesis)
 nonstandard analysis
 measure and integration theory (also finitely additive measures)
 geometry of normed spaces
About 90 peer reviewed papers
Monographs and Textbooks:
 Väth, M., Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions, de Gruyter, Berlin, New York, 2012.
 Väth, M., Nonstandard analysis, Birkhäuser, Basel, 2007.
 Appell, J. und Väth, M., Elemente der Funktionalanalysis, Vieweg & Sohn, Braunschweig, Wiesbaden, 2005.
 Väth, M., Integration theory. A second course, World Scientific Publ., Singapore, New Jersey, London, Hong Kong, 2002.
 Väth, M., Volterra and integral equations of vector functions, Marcel Dekker, New York, Basel, 2000.
 Väth, M., Ideal spaces, Lect. Notes Math., no. 1664, Springer, Berlin, Heidelberg, 1997.
Book chapters:
 Väth, M., Riesz spaces and ideals of measurable functions, Handbook of Measure Theory (Pap, E., ed.), NorthHolland, Amsterdam, Boston, London, 2002, 787825.
 Dirr, G. and Väth, M., Continuity of nearduality maps and characterizations of ideal spaces of measurable functions, Recent Trends in Nonlinear Analysis (Appell, J., ed.), Festschrift Dedicated to Alfonso Vignoli on the Occasion of his Sixtieth Birthday, Birkhäuser, 2000, 139148.
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