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Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts.Firstly as field theories on noncommutat...
We investigate the structure of singular Calabi-Yau varieties in moduli spaces that contain a Brieskorn-Pham point. Our main tool is a construction of families of deformed motives over the parameter s...
Phenological timing -- i.e. the course of annually recurring development stages in nature -- is of particular interest since it can be understood as a proxy for the climate at a specific region; moreo...
The ground state degeneracy of an SU(N)k topological phase with n quasiparticle excitations is relevant quantity for quantum computation, condensed matter physics, and knot theory. It is an open que...
We show that the standard Dirac phase factor is not the only solution of the gauge ransformation equations. The full form of a general gauge function (that connects systems that move in different sets...
A numerical approach based on the string method is developed to study nucleation of ordered phases in first order phase transitions. Among other things, this method allows an efficient computation of ...
Nucleation of various ordered phases in block copolymers is studied by examining the free energy landscape within the self-consistent field theory. The minimum energy path (MEP) connecting two ordered...

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