Mabuhay! I am Alfilgen Sebandal
Algebra enthusiast, Mindanawan, researcher, teacher, currently studying Leavitt Path algebras and Talented monoids
Contact me
Email: A.sebandal@rctpjagna.com, 1alfilgen@gmail.com
About me
I am a Maria Victoria Bernido-Carpio Research Fellow of the Research Center for Theoretical Physics in Jagna Bohol, Philippines. I obtained by PhD in Mathematics at Mindanao State University, Iligan Institute of Technology (MSU-IIT) in 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. You can read more about my work in my current research section.
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”
Organized Events
November 27-29, 2023, 1st Jagna Collaborative Meeting: Leavitt Path Algebra Group, Jagna, Bohol, Philippines
January 8-11, 2024, 10th Jagna International Workshop: Uncovering Patterns in the Evolution and Structure of Natural and Social Phenomena, Jagna, Bohol, Philippines
January 29 – February 9, 2024 CIMPA 2024: Current Trends In Algebra, Negros Oriental, Philippines
August 7-11, 2023, International Algebra Conference in the Philippines, Mactan, Cebu, Philippines
I am currently co-organizing 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.
Feel free to contact me if you are interested to participate or give a talk.
Current research topics (December 2022)
Representations of Leavitt Path Algebras via the Talented Monoid
with W. Bock and R. Hazrat
The aim is to
- Find a description of finite representations of Leavitt Path Algebras (LPA) via the talented monoid
- Compare representations of the talented monoid with those of LPA
- Compare the representation with Chen modules
- Prove the Talented monoid – Leavitt Path Algebra Graded Classification Conjecture in the finite dimensional case
List of Publications
W. Bock, C.G. Canto, I.R. Campos, D. Martin Barquero, C. Martin Gonzalez and Sebandal, A. (2022). Algebraic Entropy and A Complete Classification of Path Algebras over Finite Graphs by Growth. preprint: http://arxiv.org/abs/2212.10912
Bock, W., Sebandal, A. (2022). An Adjacency Matrix Perspective of Talented monoids and Leavitt path algebras. preprint: https://arxiv.org/abs/2212.08227
Bock, W., Sebandal, A., & Vilela, J. (2022). A talented monoid view on Lie bracket algebras over Leavitt path algebras. Journal of Algebra and Its Applications, 2350170. https://doi.org/10.1142/S0219498823501700
Hazrat, R., Sebandal, A. N., & Vilela, J. P. (2022). Graphs with disjoint cycles classification via the talented monoid. Journal of Algebra, 593, 319-340. https://doi.org/10.1016/j.jalgebra.2021.11.022
Sebandal, A., & Vilela, J. (2022). The Jordan–Hölder theorem for monoids with group action. Journal of Algebra and Its Applications, https://doi.org/10.1142/S0219498823500883.
Teaching Experience
Mindanao State University – Iligan Institute of Technology (lecturer)
- Abstract Algebra for undergrad
- Calculus I for Engineers
- Mathematics in the Modern World
Western Sydney University (lectures and tutorials)
- Social Media Intelligence for Masters
Where you might see me 🙂
——- Conferences and Talks ————————————————————–
2023
November 9-10, Mathematical Society of the Philippines-Regions 10, 12, and BARMM 17th Annual Convention, Plenary Talk: To be determined
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 ————————————————
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 ———————————————-
2023 and Ongoing
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