By combining methods from geometry, representation theory, and string theory, he develops tools to study moduli spaces of vacua, especially so-called "Higgs vacua", and their quantum and symmetry properties.
At the University of Vienna, Marcus Sperling has led an FWF-funded START project since October 2023 and is part of the Mathematical Physics group. A central theme of his research is the use of magnetic quivers, a combinatorial framework that captures the vacuum structure of strongly coupled field theories and connects physical phenomena to geometric representation theory. This approach supports the classification of low-energy phases of supersymmetric field theories and provides new perspectives on fundamental mechanisms such as symmetry breaking and dualities. By translating physical problems into geometric and algebraic structures, his work strengthens the dialogue between modern theoretical physics and mathematics.
More information can be found at: quiverqft.univie.ac.at
