Mabuhay! I am Alfilgen Sebandal

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 the current 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”

A recorded video version of my presentation during the 6th AAC

Organized Events

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.

Feel free to contact me if you are interested to participate or give a talk.


Current research topics (December 2022)






List of Publications

W. Bock, C.G. Canto, I.R. Campos, D. Martin Barquero, C. Martin Gonzalez and Sebandal, A. The algebraic entropies of the Leavitt path algebra and the graph algebra agree. preprint

W. Bock, C.G. Canto, I.R. Campos, D. Martin Barquero, C. Martin Gonzalez and Sebandal, A. (2024). Algebraic Entropy and A Complete Classification of Path Algebras over Finite Graphs by Growth. to appear in Results in Mathematics

Bock, W., Sebandal, A. (2023). An Adjacency Matrix Perspective of Talented monoids and Leavitt path algebrasLinear Algebra and Its Applications, https://doi.org/10.1016/j.laa.2023.08.025

Bock, W., Sebandal, A., & Vilela, J. (2022). A talented monoid view on Lie bracket algebras over Leavitt path algebrasJournal 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 ————————————————————–

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 22-23 Université de Picardie Jules Verne, Amiens, France, 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, Talk: To be determined

March 22- March 29 Universidad de Málaga, Malaga, Spain, Talk: To be determined

March 21 Universitat Autònoma de Barcelona, Barcelona, Spain, Talk: To be determined

March 21 Universitat Politècnica de Catalunya, Barcelona: Talk: To be determined

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 ConventionPlenary 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 ————————————————

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 21 Universitat Politècnica de Catalunya, Barcelona

March 7, Mindanao State University – Iligan Institute of Technology, 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

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