nLab Markus Szymik

• webpage

Selected writings

On Brauer ∞-groups

• Markus Szymik, Brauer spaces for commutative rings and structured ring spectra, Manifolds and K-theory. Contemp. Math. 682 (2017) 189-208 (arXiv:1110.2956)

• Andrew Baker, Birgit Richter, Markus Szymik, Brauer groups for commutative $\mathbb{S}$-algebras, J. Pure Appl. Algebra 216 (2012) 2361–2376 (arXiv:1005.5370)

On K3-spectra:

• Markus Szymik, K3 spectra, Bull. Lond. Math. Soc. 42 (2010) 137-148 (pdf, publisher)

• Markus Szymik, Crystals and derived local moduli for ordinary K3 surfaces, Adv. Math. 228 (2011) 1-21

On stable equivariant cohomotopy and the equivariant Hopf degree theorem:

• Markus Szymik, A stable approach to the equivariant Hopf theorem, Topology Appl. 154 (2007) 2323-2332 (pdf, pdf)

On characteristic of E-∞ rings:

• Markus Szymik, Commutative S-algebras of prime characteristics and applications to unoriented bordism, Algebr. Geom. Topol. 14 (2014) 3717-3743 (arXiv:1211.3239)

• Markus Szymik, String bordism and chromatic characteristics, Homotopy Theory: Tools and Applications. Contemp. Math. 729 (2019) 239-254 (arXiv:1312.4658)

category: people