Recent decades have witnessed a bloom in research at the interface of complex geometry and nonlinear partial differential equations. This interdisciplinary field explores the deep and intricate ...

The field of complex geometry, intertwined with Lie theory, represents a vibrant area where algebraic and differential techniques converge to unravel the structure of complex manifolds and their ...

The Mathematics Program of Knut and Alice Wallenberg Foundation this year grants SEK 35 million to 16 researchers, three of them belonging to the Department of Mathematical Sciences, Chalmers ...

ABSTRACT: We propose a novel extension of general relativity and quantum field theory in which spacetime is treated as a complexified manifold containing both causal (real-time) and anti-causal ...

where $C_i$ and $C^i$ denote the (simplicial/singular) $i$-(co)chains on $X$ with $\mathbb{Z}_{\text {- }}$ coefficients. H_i(X, \mathbb{C}) \otimes H_{n-i}(X ...

My name is Alexandru Duca and my fascination for mathematics developed during my high school years, where I participated in a local math competition for fun. I was surprised to encounter problems ...

ABSTRACT: A new unification of the Maxwell equations is given in the domain of Clifford algebras with in a fashion similar to those obtained with Pauli and Dirac algebras. It is shown that the new ...