Preprints and Publications
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"On the bricks (Schur representations) of finite dimensional algebras", (arXiv:2508.11789),
Coauthor: C. Paquette. -
"Brick-splitting torsion classes and Trim lattices", (arXiv:2506.13602),
Coauthors: S. Asai, O. Iyama, C. Paquette. -
"Geometric interactions between bricks and τ-rigidity", (arXiv:2311.14863),
Coauthor: C. Paquette. -
"A Continuous Associahedron of Type A", (arXiv:2108.12927) [to appear in Mathematische Zeitschrift],
Coauthors: M. Kulkarni, J. Matherne, J. Rock. -
"Hom-Orthogonal modules and brick-Brauer-Thrall conjectures", (arXiv:2407.20877) [to appear in Journal of Algebra], Coauthor: C. Paquette.
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"Biserial algebras and generic bricks", (arXiv:2209.05696), Mathematische Zeitschrift (2025),
Coauthor: C. Paquette. -
"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 (2024),
Coauthors: V. Bazier-Matte, N. Chapelier-Laget, G. Douville, H. Thomas, E. Yıldırım. -
"Minimal (τ-)tilting infinite algebras", (arXiv:2103.12700), Nagoya Mathematical Journal (2023)
Coauthor: C. Paquette. -
"τ-Tilting finiteness of biserial algebras", (arXiv:1904.11514), Algebras and Representation Theory (2023).
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"τ-Tilting finiteness of non-distributive algebras and their module varieties", (arXiv:1910.02251), Journal of Algebra (2022).
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"On the combinatorics of gentle algebras", (arXiv:1707.07665), Canadian Journal of Mathematics (2020),
Coauthors: T. Brüstle, G. Douville, H. Thomas, E. Yıldırım. -
"A categorification of biclosed sets of strings", (arXiv:1808.10346), Journal of Algebra (2020),
Coauthors: A. Garver and T. McConville. -
"On Some Properties of Toeplitz Matrices", Cogent Mathematics (2016),
Coauthors: D. Kucerovsky and A. Sarraf.
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PhD Dissertation: "τ-tilting finiteness of minimal representation-infinite algebras", Defended in June (2020),
at Université du Québec à Montréal, under the supervision of Prof. Hugh Thomas.
Not for publication (yet!)
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"Extended Abstract: Distribution of bricks and an open algebro-geometric conjecture (click to read the pdf. file).
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"Strict Dihedral Algebras are tau-tilting finite" (click to read the pdf. file).
Posters (click to see the content)
Academic events (co)-organization
In the future, I am co-organizing the following event(s):
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Spectrums in Representation Theory of Algebras and Related Topics, Osaka, Japan (December 16th-19th, 2025):
Website: https://pabloocal.github.io/SRTART2025/
Previously, I have co-organized the following events:
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Thematic Program: TDA PARTI - Topological Data Analysis, Persistence And Representation Theory Intertwined
Okinawa Institute of Science and Technology (OIST), Japan (June 23rd-August 9th, 2025)
Website: https://www.oist.jp/visiting-program/tp25td
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Workshop on Bricks and Endofinite Representations,
Bielefeld, Germany (March 3rd-5th, 2025)
Website: https://www.math.uni-bielefeld.de/birep/meetings/bricks2025/
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Winter School on Large Modules and Endofiniteness,
Stuttgart, Germany (February 24th-28th, 2025)
Website: https://sites.google.com/view/winterschoolconference-germany/home
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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
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Summer Research School on Applications of Representation Theory in Topological Data Analysis and Geometric Invariant Theory, Montreal, Canada (June 3rd-7th, 2024)
Website: https://sites.google.com/view/montreal-rep-summer-school2024/home?authuser=0
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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
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Advances in Representation Theory of Algebras (ARTA IX),
Kingston, Canada (June 12th-16th, 2023)
Website: https://sites.google.com/view/arta9/home
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Representation Theory of Algebras, A special Session at Canadian Mathematical Society Winter Meeting 2022
Toronto, Canada (December 2nd-5th, 2022)
Website: https://winter22.cms.math.ca/
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Mutations: From Cluster Algebras to Representation Theory, An ISM Discovery research school
Montreal, Canada (July 4th-8th, 2022)
Website: https://repmutationschool.wixsite.com/website
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Representation Theory and Geometry, An online conference during Covid period
virtually hosted by Queen's University, Canada (February 14th-16th, 2022)
Website: https://reptheogeometry202.wixsite.com/representationtheory