Assistant Professor of Mathematics

CV here.

*Academy is filled to the brim of narcissistic people who look down at you. I'm definetly not one of them.*

Complex contact manifolds, varieties of minimal rational tangents, and exterior differential systems

Geometry of Lagrangian Grassmannians and nonlinear PDEs

Contact manifolds, Lagrangian Grassmannians and PDEs

Lowest degree invariant 2nd order PDEs over rational homogeneous contact manifolds

On a geometric framework for Lagrangian supermechanics

An introduction to completely exceptional 2nd order scalar PDEs

Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution

Meta-Symplectic Geometry of 3rd Order Monge-Ampère Equations and their Characteristics

On the vertex-to-edge duality between the Cayley graph and the coset geometry of von Dyck groups

Geometry of the free-sliding Bernoulli beam

Symplectic structures related with higher order variational problems

On a bicomplex induced by the variational sequence

Natural boundary conditions in geometric calculus of variations

Remarks on non-maximal integral elements of the Cartan plane in jet spaces

On the canonical connection for smooth envelopes

The geometry of the space of Cauchy data of nonlinear PDEs

On families in differential geometry

A natural geometric framework for the space of initial data of nonlinear PDEs

A C-Spectral Sequence associated with free boundary variational problems

2019/20

2018/19

Matematyka II

2018

Analiza II

2018

Analiza I

2017/18

2018-2019

Encouraging middle and high school students to write and to realize scientific projects (see also the facebook page).

Organizer2018-2023

Sonata Bis programme of the Polish National Science Centre.

ParticipantGEOGRAL

2015-2017

Intra-European Marie-Skłodowska Curie fellowship.

Principal Investigator*Nonlinear PDEs from the point of view of contact manifolds, Lagrangian Grassmannians and higher-order generalisations of the latter*, in collaboration with G. Manno.

*G-invariant nonlinear PDEs*, in collaboration with D. Alekseevsky, J. Gutt and G. Manno.

*Geometry of integrable PDEs in the sense of hydrodynamic reductions*, in collaboration with J. Gutt, G. Manno and A. D. Smith.

*The abstract notion of prolongation*, in collaboration with J. Grabowski and K. Grabowska.

*Theories of gravity with arbitrary invariant Lagrangians*, in collaboration with J. Kijowski.

*Geometry of field theories on supermanifolds*, in collaboration with A. Bruce.

*Classification of curves and surfaces in the homogeneous spaces of the exceptional Lie group G_2*, in collaboration with J. Buczyński and D. The.

My Google Scholar profile.

My MathSciNet profile.

Moja strona w Polskiej Bibliografii Naukowej

My MathOverflow profile

My MathGenealogy profile.

My Facebook page

Title of Ph. D thesis: *Transversality conditions in secondary calculus *