My research consists in the
study of higher algebraic structures and their interactions with
symplectic topology, quantum algebra, and discrete geometry.
Upcoming.
Previous research talks.
A universal characterization of uncurving ,
Geometry & Topology Seminar , December 12, 2024, Uppsala,
Sweden.
Operadic structures on genus zero Kashiwara-Vergne solutions ,
Topology
Seminar , December 10, 2024, Stockholm, Sweden.
A universal characterization of uncurving , Quantum
Mathematics Research Seminar , November 25, 2024, Odense,
Denmark.
Kashiwara-Vergne operads , Grothendieck-Teichmüller,
Kashiwara-Vergne and MZV workshop , August 12, 2024, Geneva,
Switzerland.
Kontsevich's deformation quantization theorem, and the
Kashiwara-Vergne conjecture , Mathematical
Physics Seminar , July 30, 2024, Melbourne, Australia.
Framed polytopes and higher categories , TallCat
Seminar , June 20, 2024, 2pm, Tallinn, Estonia.
Kashiwara-Vergne operads , Topology
Seminar , May 20th, 2024 at 2:15pm, Melbourne, Australia.
Diagonales cellulaires des permutaèdres , Séminaire
Quantique , January 30, 2024, Strasbourg, France.
Kashiwara-Vergne solutions degree by degree , Algebra
& Topology Seminar , January 25, 2024, Copenhagen,
Denmark.
Kashiwara-Vergne solutions degree by degree , Algebra
& Geometry Seminar , January 10, 2024, Stockholm, Sweden.
Slides
of the talk .
The operadic principle , Categorical
symplectic geometry seminar , December 12, 2023, Berlin,
Germany.
Steenrod operations via higher Bruhat orders , NMSU
Geometry & Topology Seminar , December 1st, 2023, at
3:00pm GMT-6, Online. Slides
of the talk .
Recording
of the talk.
Convex polytopes and higher categories , Topology
Seminar , September 4th, 2023 at 2:15pm, Melbourne,
Australia.
My thesis in 7 minutes , Galileo Thesis Prize Ceremony,
May 26th, 2023 at 2pm, Villetaneuse, France. Slides
of the talk (in French) .
Higher Yang-Baxter equations via Steenrod squares , Quantum
Mathematics Research Seminar , May 22th, 2023 at 1pm, Odense,
Denmark.
The
combinatorics of the permutahedron diagonals , Copenhagen-Jerusalem
Combinatorics Seminar , May 18th, 2023 at 2pm, Copenhagen,
Denmark. Slides
of the talk .
VIDEO
Convex
polytopes and higher categories , Pure Mathematics
Seminar, March 24th, 2023 at 14:15, Melbourne, Australia.
The diagonal of the multiplihedra , invited talk at 56th
Spring Topology and Dynamics Conference , March 15th, 2023 at
15:00 US Central Daylight Savings Time, Online. Slides
of the talk .
Diagonals
of polytopes and higher structures , Topology Seminar,
March 13th, 2023 at 14:15, Melbourne, Australia.
Diagonals of polytopes and higher structures , invited
talk at Higher
Geometric Structures along the Lower Rhine XVI , February
17th, 2023 at 10:00, Utrecht, Netherlands.
The
diagonal of the multiplihedra , Seminar on abstract
homotopy theory, February 10, 2023 at 10:30, Bonn, Germany.
A
simple and connected proof of MacLane's coherence theorem ,
Higher Categories, Polygraphs and Homotopy Seminar, February 3,
2023 at 14:00, Paris, France.
Iterated loop spaces , invited talk at Homotopy
theory meets polyhedral combinatorics ,
January 16, 2023, 14:30, Barcelona, Spain
Topological
proofs of categorical coherence , AustMS
annual meeting , December 8, 2022, Sydney, Australia.
Categorical coherence, polytopes, and Koszul duality , TallCat
Seminar , October 20, 2022, 14:00 UTC+3, Tallinn University
of Technology, Tallinn, Estonia.
Categorical coherence, polytopes, and Koszul duality , Categories
and Companions Symposium 2022 , September 22, 2022, 20:00
UTC+10, Online. Extended
slides.
VIDEO
Categorical coherence, polytopes, and Koszul duality ,
invited talk at Higher
Structures in Prague , September 13, 2022, 14:00 UTC+2,
Institute of Mathematics of the Czech Academy of Sciences, Prague,
Czech Republic.
Diagonals
of polytopes and higher structures , September 7th,
2022, 15:15 GMT+2, University of Copenhagen, Denmark.
Ph. D. defense , Monday June 27th, 2022, Amphi Euler,
Institut Galilée, Université Sorbonne Paris Nord, Villetaneuse,
France. Slides
(in French). Expo .
Picture!
Diagonals of polytopes and higher structures , Thursday
May 19th, 2022, 14:00 GMT+2, DGeCo
Seminar , Sorbonne Université, Paris, France.
Diagonals of polytopes and higher structures , Thursday
May 5th, 2022, 11:00 GMT+2, Topology,
Geometry and Algebra Seminar , Nantes Université, Nantes,
France.
Diagonals of polytopes and higher structures , Friday
February 25, 2022, 15:10 GMT+2, Higher
Algebraic Structures Seminar , Mittag-Leffler Institute,
Djursholm, Sweden.
Recording
of the talk.
The diagonal of the operahedra , Thursday January 13,
2022, 15:00 GMT+2, Algebra,
Dynamics and Arithmetic Seminar , Université du Littoral,
Calais, France.
The diagonal of the multiplihedra and the tensor product of
A-infinity categories , Wednesday January 5, 2022, 9:30
GMT+1, Opening
workshop of the ANR HighAGT , Paris, France.
The diagonal of the operahedra , Monday December 13, 2021,
14:00 EST, Deformation
Theory Seminar , University of Pennsylvania, United States of
America. Slides
of the talk .
The diagonal of the operahedra , Monday December 13, 2021,
12:00 GMT+2, Topology
Seminar , University of Barcelona, Spain.
The diagonal of the operahedra , Wednesday December 8,
2021, 10:30 EST, Geometry
and Topology Seminar , Toledo University and Bolwing Green
State University, United States of America.
VIDEO
The diagonal of the operahedra , Friday, December 3, 2021,
14:00 GMT+2, Higher
Categories, Polygraphs and Homotopy Seminar , Sorbonne
Université, Paris, France.
The diagonal of the operahedra , Thursday, December 2,
2021, 10:00 MDT, Calgary
Peripatetic Seminar , University of Calgary, Canada.
The
diagonal of the operahedra , Thursday October 28th,
2021 at the Annual
Meeting of the GDR topologie algébrique et applications ,
Strasbourg, France.
The
diagonal of the operahedra , Thursday September 16, at
9:45 am, Algebraic
Topology seminar , USPN, Paris, France.
Trees,
polytopes, and their diagonal , Friday
September 10, 2021, at 11 am , LACIM
seminar , UQÀM, Montréal, Québec, Canada.
The
diagonal of the operahedra , Thursday
July 15, 2021 , online, for the Young
Topologists Meeting .
Previous expository
talks.
Cyclic polytopes, orientals and d-Segal spaces , March 20,
2024, Melbourne, Australia.
Quillen's Small Object Argument , September 13, 2023,
Melbourne, Australia.
Maximal
degree subposets of nu-Tamari lattices , November 11,
2022, Paris, France (Online participation). Talk within the working
group Tamari lattices and related structures .
The derivatives of the identity (in French), December 2,
2021, at 10 am, Université Sorbonne Paris Nord, within the Working
group on Goodwillie Calculus . Slides
of the talk (in French).
Curved
pre-Calabi-Yau algebras are curved homotopy double Poisson
gebras , May 28th, 2021, Villaroger, France. Talk within
the workshop Double
Poisson structures . Slides
of the talk (in French).
Twisting
the operad of graphs and the formality of the little discs ,
May 20th, 2021 at 10 am, Université Sorbonne Paris Nord. Talk within
the working group Grothendieck-Teichmüller
Groups & Applications . Accessible online. Slides
of the talk .
Operads
for discrete geometers (in French), February 18th, 2021,
at 5:15 pm, DGeCo
Seminar , Paris. Slides
of the talk .
Operads
and monoidal categories , Thursday November 12th, 2020 at
2 pm, Université Sorbonne Paris Nord. Talk within the working group
Grothendieck-Teichmüller
Groups & Applications . Accessible online. Slides
of the talk .
A
one line proof of MacLane's coherence theorem , September
30th, 2020 at 10 am, Roberta
Seminar , Sorbonne Université, Paris, France.
Opérades et algèbres associatives à homotopie près ,
Séminaire de géométrie symplectique de l'Université de Montréal, 4
septembre 2019, Montréal, Québec.
Autour du théorème d'Artin--Rees , Groupe de lecture en
algèbre commutative, 21 janvier 2019, Université Pierre et Marie
Curie, Paris, France.
Seminars,
Conferences & Workshops
Upcoming.
Past events.
Around
associators: from integrable systems to number theory ,
September 14-19, 2025, Les Diablerets, Switzerland. Picture!
Uppsala-Odense
Geometry Days , October 24-25, 2024, Uppsala, Sweden.
Topology
of Moduli Spaces , August 19-23, 2024, Copenhagen, Denmark.
Grothendieck-Teichmüller,
Kashiwara-Vergne and MZV workshop , August 12-16, Geneva,
Switzerland.
Kashiwara--Vergne Workshop, August 5-9, 2024, Les Diablerets,
Switzerland.
Homotopy
Algebras and Higher Structures , May 22-26, 2023, Paris,
France.
Workshop
on Homology of Configuration Spaces and related topics , May
15-17, 2023, Paris, France.
56th
Spring Topology and Dynamics Conference , March 16-18, 2023,
Online.
Higher
Geometric Structures along the Lower Rhine XVI , February
16-17, 2023, Utrecht, Netherlands.
Homotopy
theory meets polyhedral combinatorics ,
January 16-20, 2023, Barcelona, Spain. Picture!
AustMS
annual meeting , December 6-9, 2022, Sydney, Australia.
Ib
Fest , October
3-4, 2022, Copenhagen, Denmark.
Categories
and Companions Symposium 2022 , September 19-23, 2022,
Creswick, Australia (Online participation).
Higher
Structures in Prague , September 12-16, 2022, Prague, Czech
Republic.
Young
Topologists Meeting , July 18-22, 2022, Copenhagen, Denmark.
Picture!
Twinned
conference on Homotopy Theory , June 27-30, 2022, Bonn,
Germany.
Barcelona
conference on Higher Structures , June 13-17, 2022,
Barcelona, Spain. Picture!
Higher
Algebraic Structures in Algebra, Topology and Geometry ,
January 10 to April 29, 2022, Mittag-Leffler Institute, Sweden.
Visits from February 13 to March 5 and April 15-29.
Annual
meeting of the GDR Topologie algébrique , October 26-29,
2021, Strasbourg, France. Picture!
Young
Topologists Meeting 2021 , July 5-16, 2021, Stockholm,
Sweden.
Higher
Homotopical Structures Seminar , Winter 2021, online.
Higher
Structures & Operadic Calculus , June 21-25, 2021,
Barcelona, Spain. Picture!
Double
Poisson structures , May 24-28, 2021, Villaroger, France.
Operad
Day LAGA-LIPN , November 5, 2021. Online.
Koszul
duality & operads , October 19-23, 2020,
Marseille, France.
Infinity-categories
and their applications , August 17-20, 2020, Online.
Operad Pop-up ,
August 11, 2020, Online.
Higher
homotopy algebras in topology 2 , March 4-6, 2020, Dublin,
Ireland.
GDR
Topologie algébrique et applications , October 28-31, 2019,
Arras, France.
Research stays
Copenhagen
Centre for Geometry and Topology , research in pairs with Nicholas
J. Williams , January 22-26, 2024, Copenhagen, Denmark.
Centre
for Quantum Mathematics , visiting Vivek
Shende , November 2023, Odense, Denmark.
Max
Planck Institute for Mathematics , February 2023, Bonn,
Germany.
Copenhagen
Centre for Geometry and Topology , September--October 2022,
Copenhagen, Denmark.
Max
Planck Institute for Mathematics , visiting Anibal
Medina-Mardones, May 8-11,
2022, Bonn, Germany.
Mittag-Leffler
Institute , February 13--March 5 and April 15-29, 2022,
Djursholm, Sweden.
Centre de Recerca
Matemàtica , research in pairs with Vincent
Pilaud , December 9-18, 2021, Barcelona, Spain.
LACIM -
Université du Québec à Montréal ,
visiting Hugh
Thomas , July 11--September 11, 2021, Montréal, Québec,
Canada.
Working groups
Past events.
Deformation
quantization , Syddansk Universitet, Winter 2025.
Organizers: Alyosha Latyntsev, Guillaume Laplante-Anfossi.
Model
categories , The University of Melbourne, Fall 2023.
Organizers: Marcy Robertson, Guillaume Laplante-Anfossi.
Higher genus Kashiwara-Vergne groups , The University of
Melbourne, Winter 2023. Organizer: Marcy Robertson.
Tamari lattices and related structures , Université de
Paris, Fall 2022. Organizers: Matthieu Josuat-Vergès and Sylvie
Corteel.
Goodwillie
calculus , Fall 2021. Organizer: Geoffroy Horel.
Grothendieck-Teichmüller
Groups & Applications . From October 1st, 2020 to
April 30th, 2021. Organizers: Goeffroy Horel and Bruno Vallette.
Mandell's
Theorem . From September 26th to December 12th, 2019.
Organizer: Geoffroy Horel.
Persistent
Homology . From October 11th to December 20th, 2018.
Organizers: Grégory Ginot and Bruno Vallette.
Theses
In the 3rd chapter, I tried to give the
intuition of operads as « treelike » generalization of associative
algebras. Section 2.6 and the beginning of Chapter 4 try to give the
intuition for associative algebras up to homotopy and their tensor
product.
Teaching
Courses.
Tutorials.
Linear Algebra (Fall 2023)
Real Analysis (L1, Fall 2019 & Fall
2020 )
Mathematics for Chemistry & Physics (L2, Fall 2020 & Fall
2021)
Complex
Analysis (L3, Winter 2020 & Winter 2021 & Winter 2022)
Abstract Algebra (L2, Hiver 2020)
Introduction to Algebra (L1, Automne 2019)