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Martin Väth's user avatar
Martin Väth's user avatar
Martin Väth's user avatar
Martin Väth
  • Member for 3 years, 10 months
  • Last seen more than a month ago

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 reaction-diffusion 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:

  1. Väth, M., Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions, de Gruyter, Berlin, New York, 2012.
  2. Väth, M., Nonstandard analysis, Birkhäuser, Basel, 2007.
  3. Appell, J. und Väth, M., Elemente der Funktionalanalysis, Vieweg & Sohn, Braunschweig, Wiesbaden, 2005.
  4. Väth, M., Integration theory. A second course, World Scientific Publ., Singapore, New Jersey, London, Hong Kong, 2002.
  5. Väth, M., Volterra and integral equations of vector functions, Marcel Dekker, New York, Basel, 2000.
  6. 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.), North-Holland, Amsterdam, Boston, London, 2002, 787-825.
  • Dirr, G. and Väth, M., Continuity of near-duality 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, 139-148.
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