# Journal

I am happy to advertise a new open-access journal "Higher structures" where I serve on the editorial board. Its website is accessible via the URL https://journals.mq.edu.au/index.php/higher_structures/. If your research is related to the scope of this journal, please do consider publishing a paper there.

# Book

In collaboration with Murray Bremner, I wrote a book "Algebraic Operads: An Algorithmic Companion".

# Papers and preprints

# Various recent and forthcoming activities

- I am one of the organisers of the conference "Hochschild (co)homology and derived categories" which is an official satellite event of the International Congress of Mathematicians; it will take place in Saint-Petersburg on June 20-26, 2022.
- I organised (together with Frederic Chapoton) the annual meeting of the French national research network of algebraic topology and its applications; it took place in Strasbourg on October 26-29, 2021.
- I organised (together with Eduardo Marcos) the thematic section Homological methods" at XXIII Latin American Algebra Colloquium which took place in Mexico City on August 5-9, 2019.
- I organised (together with Vincent Gélinas and Andrea Solotar) the workshop "Homotopy meets homology"; it took place in Dublin on May 27-31, 2019.
- I was one of the local organisers of "The 14th William Rowan Hamilton Geometry and Topology Workshop" "Group actions and ergodic theory in geometry and topology"; it took place in Dublin on July 30-August 3, 2018.
- I organised (together with Victoria Lebed) the workshop "Geometry and combinatorics of associativity"; it took place in Dublin on October 23-27, 2017.
- I was one of the organisers of the third edition of the conference "Non-associative algebras and Lie theory"; it took place in Mexico City on February 27 - March 3, 2017.
- I was one of the local organisers of "The 12th William Rowan Hamilton Geometry and Topology Workshop" "Low-dimensional topology, complex and symplectic geometry"; it took place in Dublin on August 22-26, 2016.
- I was on the program committee of the workshop Higher-Dimensional Rewriting and Applications; it took take place in Oporto, Portugal, on June 25-26, 2016.
- I was one of the local organisers of "The 11th William Rowan Hamilton Geometry and Topology Workshop" "Connections between three and four manifolds"; it took place in Dublin on August 25-29, 2015.
- I was on the program committee of the workshop Higher-Dimensional Rewriting and Applications, to take place in Warsaw, Poland, on June 28, 2015.
- I was one of the local organisers of "The 10th William Rowan Hamilton Geometry and Topology Workshop" "Homological invariants in low-dimensional topology and geometry"; it took place in Dublin on August 26-30, 2014.
- I organised (together with Uli Kraehmer) a mini-workshop Batalin-Vilkovisky algebras, operads, and Hopf algebroids, it took place in Mathematisches Forschungsinstitut Oberwolfach on February 24-28, 2014.
- I was one of the organisers of a conference dedicated to Borya Feigin on the occasion of his 60th anniversary, it took place in Moscow on December 13-19, 2013. Video recordings of talks at that conference are available here.
- I was one of the local organisers of "The 9th William Rowan Hamilton Geometry and Topology Workshop" "Geometry and Groups after Thurston"; it took place in Dublin on August 27-31, 2013.
- I organised (together with Norbert Poncin) a workshop "Higher algebras and Lie-infinity homotopy theory" at the University of Luxembourg, it took place on June 25-28, 2013.
- In February 2013 I gave a mini-course "Operads, shuffles, and Gröbner bases" at the meeting Associative and Nonassociative Algebras and Dialgebras: Theory and Algorithms (in honour of Jean-Louis Loday), at CIMAT, Guanajuato, México.
- In February 2012 I gave a mini-course "Rewriting methods for associative algebras and operads" at Algebra and computation, one of the workshops of the thematic programme "Logic and interactions 2012" held at CIRM Luminy, Marseille.

# Some research talks

- "Graded algebras and the Lagrange inversion formula", a talk at the workshop "Graded Algebras, Geometry and related Topics" celebrating the 60th birthday of Adolfo Sánchez Valenzuela, Merida, November 2016:YouTube Video.
- "Noncommutative M
_{0,n+1}", a talk at Samuel Gitler Memorial Conference, CINVESTAV, September 2016: YouTube Video. - "Shuffle operads", Introductory Workshop of the GDO programme: video of the talk on the Newton Institute website.
- "Homotopical meaning of the Givental group", Higher Structure 2013 Workshop of the GDO programme: video of the talk on the Newton Institute website.
- "Hierarchies of identities for differential operators and moduli spaces of curves", Algebra Seminar, University Lyon 1, February 9, 2012. Beamer presentation: PDF.
- "Filtered distributive laws", Conference "Operads and rewriting", Lyon, France, November 3, 2011. Beamer presentation: PDF.
- "Shuffle operads", Conference "New development in noncommutative algebra and its applications", Isle of Skye, Scotland, June 30, 2011. Beamer presentation: PDF.
- "Compatible associative products and trees", LMS--ARTIN workshop "Integrable systems: algebraic aspects", University of Glasgow, April 23, 2010. Beamer presentation: PDF.
- "Anick resolutions, shuffle algebras, and consecutive pattern avoidance", British Mathematics Colloquium, Edinburgh, April 6, 2010. Beamer presentation: PDF

# Research supervision and mentorship

In 2021-24, I am supervising the PhD thesis of Paul Laubie, who works on a homotopy invariant generalisation of the Duflo theorem.

In 2020-23, I am supervising the PhD thesis of Basile Coron, who works on some topics of homotopical algebra related to De Concini-Procesi wonderful models of subspace arrangements.

In 2017-21, I supervised the PhD thesis of Pedro Tamaroff, who works on a number of topics in homological and homotopical algebra; his thesis is available here. His homepage may be consulted via this link.

In 2018/19, I was a mentor of Vincent Gélinas during his time as a postdoc at the Hamilton Mathematics Institute. His stay in Dublin resulted in this paper written together with myself and with Pedro Tamaroff.

In 2017-19, I supervised the Masters thesis of Norah Alghamdi who worked on Gröbner bases for nonsymmetric operads and their applications; her work resulted in the thesis "The associative filtration of the dendriform operad".

In 2016-18, I was a mentor of Victoria Lebed during her time as a postdoc at the Hamilton Mathematics Institute; she is now a maître de conférences at Université de Caen - Normandie.

In 2016, I was a mentor of José Moreno during his exchange visit to Trinity College Dublin as a part of his PhD studies in Malaga. José then was a postdoc at MPIM Bonn, and in September 2019 he moved to Trinity College Dublin to start a competitive research fellowship awarded by the Irish Research Council. Since then he wrote this paper with my student Pedro Tamaroff.

In 2014/15, I supervised the Masters thesis of Soutrik Roy Chowdhury who studied an important computational method of homological algebra, the Anick's resolution. His thesis is available here.

In 2013/14, I supervised the Masters thesis of Lucas Mason-Brown who studied invariant (coordinate-independent) operations that map various differential-geometric constructions to one another. His thesis is available here.