Mabuhay! I am Alfilgen Sebandal
Algebra enthusiast, Mindanawan, researcher, teacher, currently working on associative algebras and what not 🙂
Contact me
Email: A.sebandal@rctpjagna.com, 1alfilgen@gmail.com
About me
I am an M. Victoria Bernido-Carpio Research Fellow of the Research Center for Theoretical Physics in Jagna Bohol, Philippines and I am currently undertaking a research visit at the Linnaeus University in Växjö, Sweden. I obtained by PhD in Mathematics at Mindanao State University, Iligan Institute of Technology n the Philippines under the supervision of Jocelyn Vilela of MSU-IIT and Roozbeh Hazrat of Western Sydney University, Australia where had a 1-year research fellowship.
Broadly, my research lies in the areas of Leavitt Path Algebras and Monoids with group action. In particular, I’m interested in answering questions about the relationship of representation of the talented monoid and the representation of the corresponding Leavitt Path Algebra, especially the graded isomorphism conjecture. Indeed, as of now, in all of my research, I make use of a graded version of the graph monoid, the so-called talented monoid. But I am open to learn new techniques and methods.
Awards
Gordon Preston Prize at the 6th Australia Algebra Conference (Nov. 28-30, 2022) held at Sunshine Coast University, Queensland, Australia for the talk “A Confirmation on the Finite Graded Classification Conjecture for Leavitt Path Algebras”.
Best Dissertation Award at Mindanao State University – Iligan Institute of Technology with the topic “Applications of the Talented Monoids in the Graded Classification of the Leavitt Path Algebras”.
Best Oral Presentation at the 2023 Department of Science and Technology ASTHRDP Graduate Scholars’ Conference (September 26-27, 2023) for the Mathematical & Computational Sciences Category held at Pasay City, Philippines for the talk “Graded Classifications of Leavitt Path Algebras via Talented Monoids”
List of Publications
Bock W, Hazrat R, Sebandal A. Morita theory of finite representations of Leavitt path algebras. preprint: https://arxiv.org/abs/2409.19677
Bock W, Canto CG, Barquero DM, González CM, Campos IR, Sebandal A. The algebraic
entropies of the Leavitt path algebra and the graph algebra agree. to appear in Results in
Mathematics, preprint: https://arxiv.org/abs/2402.18585
Bock W, Canto CG, Barquero DM, González CM, Campos IR, Sebandal A. Algebraic entropy of path algebras and Leavitt Path algebras of finite graphs. Results in Mathematics.
2024;79(5). doi:10.1007/s00025-024-02198-0
Bock W, Sebandal A. An adjacency matrix perspective of talented monoids and Leavitt path
algebras. Linear Algebra and Its Applications. 2023;678:295-316. doi:10.1016/j.laa.2023.08.025
Bock W, Sebandal A, Vilela J. A talented monoid view on Lie bracket algebras over Leavitt
path algebras. Journal of Algebra and Its Applications. 2022;22(08). doi:10.1142/s0219498823501700
Hazrat R, Sebandal A, Vilela JP. Graphs with disjoint cycles classification via the talented
monoid. Journal of Algebra. 2022;593:319-340. doi:10.1016/j.jalgebra.2021.11.022
Sebandal A, Vilela J. The Jordan-Holder theorem for monoids with group action. Journal of
Algebra and Its Applications. 2022;22(04). doi:10.1142/s0219498823500883
Organized Events
April 7-11, 2025, International Workshop on Leavitt Path Algebras (lecture workshop) Shillong, India
July 21-26, 2025, AESIM School “Flavors of Representation Theory”, (lecture workshop) North-Eastern Hill University (NEHU), Shillong, India
July 8-12, 2024 Frontiers in Leavitt Path Algebras and Related Topics (FiLPART), Research Center for Theoretical Physics, Central Visayan Institute Foundation, Jagna, Bohol
January 29 – February 9, 2024 CIMPA 2024: Current Trends In Algebra, Negros Oriental, Philippines
January 8-11, 2024, 10th Jagna International Workshop: Uncovering Patterns in the Evolution and Structure of Natural and Social Phenomena, Jagna, Bohol, Philippines
November 27-29, 2023, 1st Jagna Collaborative Meeting: Leavitt Path Algebra Group, Jagna, Bohol, Philippines
August 7-11, 2023, International Algebra Conference in the Philippines, Mactan, Cebu, Philippines
***
I have co-organized the monthly online “Seminar in Algebra” at MSU-IIT, where international experts talk about recent developments in their field. In addition, I introduced a series of short lectures from Ph.D. students (national and international) and professors with special beginner topics in algebra. The lectures are held twice a month. Click here to view previous talks and a schedule of future ones.
Teaching Experience
Mindanao State University – Iligan Institute of Technology (lectures)
- Abstract Algebra for undergrad
- Calculus I for Engineers
- Mathematics in the Modern World
Western Sydney University (lectures and tutorials)
- Social Media Intelligence for Masters
Conferences and Talks
2024
November 18-23, Conference: Nonassociative Algebras, their Representations and Applications, Shenzhen International Center for Mathematics of Southern University of Science and Technology, Shenzhen, China, Plenary Talk: To be determined.
April 16 Blekinge Institute of Technology, Karlskrona, Sweden
April 10 Linköping University, Linköping, Sweden
April 1-22 Linnaeus University, Vaxjo, Sweden
March 22- March 29 Universidad de Málaga, Malaga, Spain
March 21 Universitat Autònoma de Barcelona, Barcelona, Spain
March 8, 2024 DMS Algebra Colloquium, Mindanao State University – Iligan Institute of Technology, Philippines, Talk: Quiver Representations for Leavitt Path Algebras as Talented Monoid Classification Detour
March 6, Research Talk at CIMPA Short Course, Central Mindanao University, Philippines, Talk: Talented Monoid Classifications Conjecture on Leavitt Path Algebras
January 29 – February 9, CIMPA 2024: Current Trends In Algebra, Negros Oriental, Philippines, Lecture: Introduction to Path Algebras and Graph Monoids, Special Session Talk: Why Engage?
January 8-11, 10th Jagna International Workshop: Uncovering Patterns in the Evolution and Structure of Natural and Social Phenomena, Jagna, Bohol, Philippines, Special Session Talk: Why Engage?
2023
November 9-10, Mathematical Society of the Philippines-Regions 10, 12, and BARMM 17th Annual Convention, Plenary Talk: Quiver Representations for Leavitt Path Algebras as Talented Monoid Classification Detour
October 2, European Non-Associative Algebra Seminar, Invited Talk: Finite Graded Classification Conjecture for Leavitt Path Algebras
August 7-11, International Algebra Conference in the Philippines, Mactan, Cebu, Plenary Talk: Leavitt Path Algebras and Monoids
July 10-14, Conference on Rings and Factorizations 2023, University of Graz, Austria, Talk: Leavitt path algebras and Talented monoids via Lie Brackets and Adjacency matrices
June 15, Victoria University of Wellington, New Zealand, Invited Talk: A Confirmation on the Finite Graded Classification Conjecture of Leavitt Path Algebras
March 23, Methusalem Junior Seminars Pure Mathematics, Ku Leuven, Belgium (online) Invited Talk: Leavitt path algebras and graph monoids
2022
November 28-30, 6th Australia Algebra Conference, Sunshine Coast, Queensland, Australia, Talk: A Confirmation on the Finite Graded Classification Conjecture of Leavitt Path Algebras
August 2, Webinário PPGM-UFAM, Universidade Federal do Amazonas, Brazil (online) Invited Talk: Linking Leavitt Path Algebras, Talented Monoids and Lie Bracket Algebras
June 13-17, GABY: Groups and Algebras in Bicocca for Young Algebraists, University of Milano-Bicocca, Italy. Poster: Graph Aperiodicity and Computations of the Gelfand-Kirillov Dimension of a Leavitt Path Algebra
May 21, Mathematical Society of the Philippines Annual Conference, online event, Talk: Simplicity, Solvability, Nilpotency: A Talented Monoid View on Lie Bracket Algebras over Leavitt Path Algebras
March 28-31, International Conference on Semigroups, Algebras, and Operator Theory (ICSAOT 2022), CUSAT, India (online), Talk: Composition Series of a Talented Monoid and Applications to the Gelfand-Kirillov Dimension of a Leavitt Path Algebra
February 7-18, Cimpa School — From Dynamics to Algebra and Representation Theory and Back, Universidade Federal de Santa Catarina, Florianopolis, Brazil, Invited talk: A Talented Monoid view on Lie Bracket algebras arising from Leavitt Path algebras
February 2, Seminar in Mathematics, Technische Universität Kaiserslautern, Germany, Invited Talk: The Gamma-monoid Jordan-Hölder Theorem and the Talented Monoid and Leavitt Path Algebra Classification of Graphs with Disjoint Cycles
Research Fellowships ————————————————
January – April 2025 Linnaeus University in Växjö, Sweden
August 2023 – present 1st ever M. Victoria Carpio-Bernido Research Fellow at Research Center for Theoretical Physics, Central Visayan Institute Foundation, Bohol, Philippines
July 2022 – July 2023 Western Sydney University, Australia
Research Visits and Talks ———————————————-
2024
April 22-23 Université de Picardie Jules Verne, Amiens, France
April 16 Blekinge Institute of Technology, Karlskrona, Sweden
April 10 Linköping University, Linköping, Sweden
April 1-22 Linnaeus University, Vaxjo, Sweden
March 22- March 29 Universidad de Málaga, Malaga, Spain
March 21 Universitat Autònoma de Barcelona, Barcelona, Spain
March 8, Mindanao State University – Iligan Institute of Technology, Philippines
March 6, Central Mindanao University, Philippines
2023
June 16-23 Université de Picardie Jules Verne, Amiens, France
June 29- July 9 Technische Universität Kaiserlautern, Kaiserlautern, Germany
June 12-16 Victoria University of Wellington, New Zealand
February 12-14 University of the Philippines Diliman, Manila, Philippines
February 15-17 University of the Philippines Cebu, Cebu, Philippines
2022
November 2-4 Universitat Politècnica de Catalunya, Barcelona
November 7-11 Universidad de Málaga, Malaga, Spain
November 14-16 Vrije Universiteit Brussel, Brussels, Belgium
November 17-18 Université de Picardie Jules Verne, Amiens, France
June 6-17 Technische Universität Kaiserlautern, Kaiserlautern, Germany
January 6-30 Technische Universität Kaiserlautern, Kaiserlautern, Germany
Impressum
Alfilgen Sebandal
Address: Jagna, Bohol, Philippines
Email: A.sebandal@rctpjagna.com