I am a
My main interest is
Currently, I work on higher-dimensional association schemes called
Formerly, I was a postdoctoral fellow at SPMS, Nanyang Technological University (Singapore).
During that project, I investigated
News
- Tosio Kato Fellowship 2025 (Math. Soc. of Japan and Southeast Asian Math. Soc.)
- Postdoctoral Fellowship 2024 (Nanyang Tech. Univ. Singapore)
- Outstanding PhD Graduate awardee 2023 (Math. Soc. of the Philippines)
- Faculty position (U. of the Philippines Diliman)
- Excellence in graduate studies (PhD) (2022) (U. of the Philippines Diliman)
Published
- J.M.P. Balmaceda and D.V.A. Briones, Families of association schemes on triples from two-transitive groups, Ars Mathematica Contamporanea 25 (3), May 2025, https://doi.org/10.26493/1855-3974.2897.19b
- C. Amarra, D.V.A. Briones, and M.J.C. Loquias, Multiple contractions of permutation arrays, Journal of Algebraic Combinatorics 58 (3) 695-715, June 2023, https://doi.org/10.1007/s10801-023-01238-2
- J.M.P. Balmaceda and D.V.A. Briones, A survey on association schemes on triples, Electronic Journal of Graph Theory and Applications 11 (1), 15-26, 2023, http://dx.doi.org/10.5614/ejgta.2023.11.1.2
- J.M.P. Balmaceda and D.V.A. Briones, Association schemes on triples over few vertices, Matimyas Matematika 45 (1), 13-26, 2022, http://mathsociety.ph/matimyas/images/vol45/BalmacedaMatimyas.pdf
Preprints/In-preparation
- J.M.P. Balmaceda, D.V.A. Briones, and J. Buloron, Parameters of association schemes on triples from projective general unitary groups
- D.V.A. Briones, Association schemes on triples from affine special semilinear groups
- D.V.A Briones and J. Cruz, Maximal subgroups of class-V groups
On-going projects
- (with G. Greaves, and J. Lansdown) Equiangular tight frames from fusion schemes
- (with C. Amarra) Constructions of block-transitive 3-chain imprimitive uniform 2-designs
- Translation-invariant association schemes on triples
Presentations
- Asian Mathematical Conference (Southeast Asian Math. Soc., 2025)
- CodEx Seminars (Colorado State U., online) (2025)
- Math. Soc. of the Philippines Annual Convention (Math. Soc. Philippines, 2019, 2022, 2023, 2024)
- Outstanding PhD Graduate Awardee Lecture (Math. Soc. Philippines, 2023)
- Tohoku University Combinatorics Group Presentation (Tohoku U., online) (2023)
- International Algebra Conference of the Philippines (MSU-IIT, 2023)
- 45th Australasian Combinatorics Conference (U. Western Australia, 2023)
- UP Diliman IMath Research Webinar Series (U. of the Philippines Diliman, 2022)
- Walisongo State Islamic University Presentation (Walisongo State U., online) (2022)
Workshops
- Generalized Weyl algebras and their representations (U. of Porto (online), 2025)
- AlCoVE: Algebraic Combinatorics Virtual Expedition (U. of Waterloo (Online), 2025)
- Algebraic and Analytic Methods in Combinatorics (Simons Laufer Math. Sci. Inst. (Online), 2025)
- Frontiers in Leavitt Path Algebras and Related Topics (Lecturer, RCTP Bohol, 2024)
- CIMPA School on Galois Representations and Modular Forms (U. of the Philippines Diliman, 2023)
- ICTP Summer School in Group Theory and Representation Theory (Vietnam Inst. Adv. Study of Math. 2022)
- Workshop in Commutative Algebra and Algebraic Geometry (Vietnam Acad. of Sci. and Tech. (Online), 2021)
- CIMPA School on Numeration and Fractals (U. of the Philippines Diliman, 2020)
- Workshop on Approximation and Optimization (U. of the Philippines Diliman, 2019)
Memberships
- Southeast Asian Mathematical Society (2025 - Present)
- Australasian Combinatorics Society (Australia) (2023 - 2024)
- Matimyas Matematika (Mathematics Journal of the Math. Soc. of the Philippines, Managing Editor) (2023 - Present)
- Leavitt Path Algebra Research Group (Research Center for Theoretical Physics, Bohol) (2023 - Present)
- Phi Kappa Phi Honor Society (2022 - Present)
- Discrete Geometry and Combinatorics Research Group (Affiliate Member) (U. of the Philippines Diliman) (2022 - Present)
- Groups, Geometry, and Representations Research Group (U. of the Philippines Diliman) (2022-Present)
- Mathematical Society of the Philippines (2019 - Present)
- Mathematics Graduate Student Research Group (2019 - 2022)
Classes Taught
- Math 21 (Elementary Analysis I) (U. of the Philippines Diliman)
- Math 22 (Elementary Analysis II) (U. of the Philippines Diliman)
- Math 40 (Linear Algebra) (U. of the Philippines Diliman)
- Math 110.1 (Abstract Algebra I) (U. of the Philippines Diliman)
Supervision
- Joris Buloron (with Dr. J.M.P. Balmaceda) (PhD Mathematics) (2024 - Present)
- Jonvert Cruz (MS Mathematics) (2023 - 2024)
- Andrei Hugo (BS Mathematics) (2023 - 2024)