Topics:

Banach algebraic geometry, algebraic/categorical approaches to C*-algebras (Adam Dor-On also works on this at the same university), algebraic/categorical approaches to smooth and analytic geometry. Applications to arithmetic geometry.

Derived Analytic Geometry.

Derived Algebraic Geometry and Shifted Symplectic Geometry, work of Tony Pantev (PTVV), Minhyong Kim, Ginzburg/Rozenblyum, Giaotto and others. Moduli stacks of bundles on surfaces and 3-folds.

Arithmetic topology (knots / primes analogy). Moduli stacks of representations of fundamental groups.

Homotopy Theory of Normed Sets (work of Durov)

Moduli stacks of Galois representations.

Non-commutative geometry in Kontsevich's approach. Grothendieck topologies in this setting and topos theory. New notions of spectra of Banach rings. Analytic geometry over the integers.

Familiarity with lower/higher category theory important. The University of Haifa has a strong group in homotopy theory and higher category theory including Hinich, Blanc, and Chorny.

In order to apply, please check out my research https://sites.google.com/site/orenbenbassat and see if we have some common interest.

Please send your application or reach out to me at ben-bassat@math.haifa.ac.il if interested.

Also, see https://graduate.haifa.ac.il/images/Calls_For_Nominations_Postdocs_2022-2023_UofH_002.pdf