14 citations · 24 across the 15 of their papers we have counts for
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Witt vectors with coefficients and TR
Emanuele Dotto, Achim Krause, Thomas Nikolaus +1
We give a new construction of -typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal…
Prismatic cohomology relative to -rings
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We develop prismatic and syntomic cohomology relative to a -ring. This simultaneously generalizes Bhatt and Scholze's absolute and relative prismatic cohomology and shows that t…
A note on quadratic forms
Fabian Hebestreit, Achim Krause, Maxime Ramzi
For a field extension we consider maps that are quadratic over but whose polarisation is only bilinear over . Our main result is that all such are automatically quadra…
Polygonic spectra and TR with coefficients
Achim Krause, Jonas McCandless, Thomas Nikolaus
We introduce the notion of a polygonic spectrum which is designed to axiomatize the structure on topological Hochschild homology of an -ring w…