Publications and Preprints
-
"Hom-Orthogonal modules and brick-Brauer-Thrall conjectures", (arXiv:2407.20877), joint with C. Paquette.
-
"Geometric interactions between bricks and τ-rigidity", (arXiv:2311.14863), joint with C. Paquette.
-
"Biserial algebras and generic bricks", (arXiv:2209.05696) [Submitted], joint with C. Paquette.
-
"A Continuous Associahedron of Type A", (arXiv:2108.12927) [Submitted], joint with M. Kulkarni, J. Matherne, J. Rock.
-
"ABHY associahedra and Newton polytopes of F-ploynomials for cluster algebras of simply laced finite type.", (arXiv:1808.09986), Journal of the London Mathematical Society (2023), joint with V. Bazier-Matte, N. Chapelier-Laget, G. Douville, H. Thomas, E. Yıldırım.
-
"Minimal (τ-)tilting infinite algebras", (arXiv:2103.12700), Nagoya Mathematical Journal (2022), joint with C. Paquette.
-
"τ-Tilting finiteness of biserial algebras", (arXiv:1904.11514), Algebras and Representation Theory (2022).
-
"τ-Tilting finiteness of non-distributive algebras and their module varieties", (arXiv:1910.02251), Journal of Algebra (2022).
-
"On combinatorics of gentle algebras", (arXiv:1707.07665), Canadian Journal of Mathematics (2020), joint with T. Brüstle, G, Douville, H. Thomas, E. Yıldırım.
-
"A categorification of biclosed sets of strings", (arXiv:1808.10346), Journal of Algebra (2020), joint with A. Garver and T. McConville.
-
"On Some Properties of Toeplitz Matrices", Cogent Mathematics (2016), joint with D. Kucerovsky and A. Sarraf.
Not for publication (yet!)
-
"Extended Abstract: Distribution of bricks and an open algebro-geometric conjecture (click to read the pdf. file).
-
"Strict Dihedral Algebras are tau-tilting finite" (click to read the pdf. file).
Posters (click to see the content)
Conferences, Workshops & Schools (co)-organization
In the future, I am co-organizing the following events:
-
Autumn School & Conference on New Developments in Representation Theory of Algebras, Okinawa, Japan (November 18th-30th, 2024)
Website: https://sites.google.com/view/autumn-oist-school-conference/home
-
Winter School on Large Modules and Endofiniteness, Stuttgart, Germany (February 24th-28th, 2025)
Website: https://sites.google.com/view/winterschoolconference-germany/home
-
Workshop on Bricks and Endofinite Representations, Bielefeld, Germany (March 3rd-5th, 2025)
Website: https://www.math.uni-bielefeld.de/birep/meetings/bricks2025/
Previously, I have co-organized the following events:
-
Summer Research School at UQÁM, Montreal, Canada (June 3rd-7th, 2024)Applications of Representation Theory in Topological Data Analysis and Geometric Invariant TheoryWebsite: https://sites.google.com/view/montreal-rep-summer-school2024/home?authuser=0
-
Spring Workshop on the Representation Theory of Algebras and related areas, Okinawa, Japan (April 22nd-26th, 2024)
Website: https://sites.google.com/view/oist-rep-theory-springworkshop/home?authuser=0
-
Advances in Representation Theory of Algebras (ARTA IX), Kingston, Canada (June 12th-16th, 2023)
Website: https://sites.google.com/view/arta9/home
-
Representation Theory of Algebras, Toronto, Canada (December 2nd-5th, 2022)
A special Session at Canadian Mathematical Society Winter Meeting 2022
Website: https://winter22.cms.math.ca/
-
Mutations: From Cluster Algebras to Representation Theory, Montreal, Canada (July 4th-8th, 2022)
An ISM Discovery research school
Website: https://repmutationschool.wixsite.com/website
-
Representation Theory and Geometry (February 14th-16th, 2022)
An online conference during Covid period, virtually hosted by Queen's University, Canada
Website: https://reptheogeometry202.wixsite.com/representationtheory