Abstract algebraic structures and properties of integers, including groups, rings, fields, algebraic geometry, arithmetic geometry, and applications to cryptography and coding theory
4 papersThe study reveals that [12]infinitene exhibits two non-intersecting diatropic ring currents along its edges, leading to a shielding cone and aromatic behavior. This contradicts predictions based on the Möbius aromaticity rule for twisted annulenes. The dication, however, shows paratropic ring currents and antiaromatic character due to a strong through-space ring current between stacked rings.
This paper introduces a novel uplift for quasi-primary operators in conformal field theory, enabling a unified treatment of all operators irrespective of their Lorentz representations. This leads to a simplified calculation of correlation functions and a new, more practical operator product expansion.
This paper introduces the spectral localizer, a finite-dimensional matrix that can be used to compute the topological invariant (even index pairing) associated with a topological insulator in even spatial dimensions. The key finding is that half the signature of this spectral localizer equals the index pairing, enabling its numerical calculation.
This paper develops a general method for "renormalizing" a wide class of singular stochastic partial differential equations (SPDEs), showing that the renormalised solutions are equivalent to classical solutions of a modified equation with added counterterms. This provides a robust theoretical framework for studying the existence and behavior of solutions to complex systems driven by noise.