Szilárd Szabó
Szilárd Szabó
Habil. Associate Professor
The Institute of Mathematics
lecturer
Department of Geometry
Head of Department
Contact details
Address
1117 Budapest, Pázmány Péter sétány 1/c.
Room
4-719
Links
ORCID
0009-0008-7435-2021
WoS
NLO-5745-2025
Scopus
36519817600
Google Scholar
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Publications
mtmt.hu
Szakmai honlap
https://szaboszilard.web.elte.hu/
  • 1. Natural sciences
    • 1.1 Mathematics
      • Pure mathematics
Geometry of moduli spaces

The spaces of certain singular solutions of Hitchin's equations form a hyperKaehler manifold that has a rich geometry and is relevant for some theories in Mathematical Physics. We study the geometry and topology of such spaces, often in low dimensions.

Keywords
integrable connection, irregular singularity, Higgs bundle, moduli space, character variety, integrable system, WKB analysis, Fourier-Laplace transformation, hyperKaehler manifold, quantum cohomology, gauge theory, harmonic metric