Matej Filip


I am a postdoctoral researcher in the Emmy's Noether research group of Helge Ruddat at Johannes Gutenberg Universität Mainz. I did my PhD at Freie Universität Berlin under supervision of Klaus Altmann. I defended my PhD thesis in March 2018.

Johannes Gutenberg Universität Mainz
Staudingerweg 9, Raum 133
55122 Mainz, Germany

e-mail:





Ju

Research Interests (algebraic geometry): deformation theory, logarithmic geometry, mirror symmetry, toric geometry, ACM bundles.

Teaching

Algebra und Zahlentheorie. (Winter Semester 2016-17, 2017-18)

Publications

Hochschild cohomology and deformation quantization of toric varieties, J. Algebra 508 (2018) 188-214

(with G. Casnati and F. Malaspina) Rank 2 ACM bundles on the del Pezzo threefold of the degree 7, Rev. Mat. Com. 30 (2017) 129-165.

Rank 2 ACM bundles on Complete intersection Calabi-Yau threefolds, Geom. Dedicata 173 (2014) 331-346

Preprints

The Gerstenhaber product of affine toric varieties, arXiv:1803.07486

A differential graded Lie algebra controlling the Poisson deformations of an affine Poisson variety, arXiv:1812.04947

(with S. Felten and H. Ruddat) Smoothing toroidal crossing spaces

(with A. Constantinescu and K. Altmann) Diskrete structures on the cone of Minkowski summands

Selected Research talks

Frobenius manifolds and formality of Lie algebras of polyvector fields, at the conference Enumerative Invariants from Differential Graded Lie Algebras and Categories, Montegufoni (March 25-31, 2018)

Hochschild cohomology and deformation quantization of toric varieties, at the conference Workshop on Deformation Theory, University of Turin (July 5-8, 2017)

Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds, at the conference ACM bundles on Algebraic varieties, Middle East University, Ankara, Turkey (June 15-19, 2015)