The general setting of my current research is that of homotopy algebra.  I have been working with my student M. Daily on the study of finite dimensional L-infinity algebras.  Questions raised here also lead to related questions about A-infinity algebras.  I am also interested in formulating familiar topics in Lie theory, such as representation theory, for L-infinity algebras.
    M. Markl in Prague and I are continuing our work on symmetric brace algebras that involves generalizations of pre-Lie algebras and BV algebras.
    I also have my ongoing collaboration with R. Fulp and J. Stasheff regarding the theory of L-infinity algebras that arise in the context of Poisson sigma models;  this project is oriented towards the application of homological algebra to mathematical physics.

             T. Lada       M. Daily              M. Markl