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Deformations and Degenerations of Algebraic Varieties

A research grant funded by the National Science Centre (NCN)

The Dwork family of elliptic curves (illustration by Dorka Budacz); see also

Duration: April 2018-April 2021 (36 months)

Total funding: 452 000 PLN

Host institution: IMPAN in Warsaw

Grant number: 2017/26/D/ST1/00913 (SONATA 13)

Description

The project is devoted to the study of families of algebraic varieties, with applications to both classical complex algebraic geometry and arithmetic geometry in mind. The two complementary directions concern deformation theory and the topology of degenerations. The more specific goals belong into four groups:

  1. Topological aspects of logarithmic geometry
  2. Deformation theory in positive characteristic
  3. Deformation theory of zero-dimensional schemes
  4. Serre–Tate theory for Calabi–Yau varieties and liftings of Frobenius.

Research team

Open positions

A position for a MSc student (call closed)

A position for a MSc student for 18 months with stipend 1000 PLN/month.

Deadline: June 15, 2018.

[call announcement]

A position for a PhD student (call open)

A position for a PhD student for 24 months with stipend 3500 PLN/month.

Deadline: Oct 3, 2018.

[call announcement]