Dr. Jose Maria Balmaceda is recognized for his significant research contributions to the representation and structure theory of finite groups and related structures. He has applied group theoretic and algebraic methods to investigate association schemes, whose theory serves as a unifying framework for the study of algebraic graphs, codes, designs and finite geometries. His published papers on multiplicity-free representations and characters, self-dual codes, spin models, group association schemes and Terwilliger algebras, as well as his tireless efforts to promote these research areas and mentor students have spurred the development of a core of young dynamic and productive mathematics researchers in the country today. Recognized here and abroad, his leadership in the mathematics community is also manifested in his dedicated involvement in various initiatives to strengthen mathematics education and teacher competencies.
Sex: Female
Education
- University of the Philippines Diliman, Quezon City, B.S. Mathematics (Magna Cum Laude), 1981
- University of the Philippines Diliman, Quezon City, M.S. Mathematics, 1983
- University of Illinois at Urbana-Champaign, USA, Ph.D. in Mathematics (Major in Algebra -Group Theory), 1991
Field of Specialization
Mathematics, Algebra (Group Theory), Algebraic Combinatorics, Mathematics Education, Popularization Mathematics
Researches
Balmaceda, J.M.P., (1995) Polynomial invariants links
Matimyas Matematika Volume 18
Balmaceda, J.M.P., (1994) Finite groups with at most five conjugacy classes
Matimyas Matematika Volume 17, No. 1
Balmaceda, J.M.P., (1994) The Terwilliger algebras of the group association schemes of S(5) and A(5)
Kyushu Journal of Mathematics Volume 18, No. 2
Balmaceda, J.M.P., (1997) Multiplicity free action groups of the alternating groups
Journal of the Korean Mathematical Society Volume 2, No. 34
Balmaceda, J.M.P., (1996) A note on multiplicity free permutation characters
Discrete Mathematics (North Holland) Volume 151
Balmaceda, J.M.P., (1996) Decompositions of transitive permutation representations
Matimyas Matematika Volume 19, No. 2
Balmaceda, J.M.P., (1991) Mathematics in the 90s: Challenges and concerns
Matimyas Matematika Volume 74, No. 3
Balmaceda, J.M.P., (1983) Subgroups of the plane crystallographic groups
Research Reports of the UP Diliman, Mathematics Department
Balmaceda, J.M.P., (1999) Commutative centralizer algebras and related structures
Transactions of the National Academy of Science and Technology Volume 21
Balmaceda, J.M.P., (2003) On the number of distinct self-dual codes over Z(9)
Matimyas Matematika Volume 26, No. 1-3
Balmaceda, J.M.P., (1999) Gelfand Pairs in Hecke algebras
Matimyas Matematika Volume 22, No. 3
Balmaceda, J.M.P., (1997) A Combinatorial approach to spin models
Transaction of the National Academy of Science and Technology Volume XIX
Balmaceda, J.M.P., (1997 My) Modules in finite mathematics
Mathematical Society of the Philippines
Balmaceda, J.M.P., (1996) Modules in mathematics
Ugnayan ng Pahinungod, Office of the President, University of the Philippines
Balmaceda, J.M.P., (1996-1997) Evaluating algebraic expression in tatsulok
Diwa Publication Volume 2, No. 1
Balmaceda, J.M.P., (1996-1997) Solving linear equations and inequalities in tatsulok
Diwa Publication Volume 2, No. 1
Balmaceda, J.M.P., (1996-1997) A Diophantine dremma in tatsulok
Diwa Publication Volume 2, No. 1
, (2020) Idempotents in certain matrix rings over polynomial rings
International Electric Journal of Algebra
, (2012) Leonard triples from Leonard pairs constructed from the standard basis of the Lie algebra
Linear Algebra and its Applications Volume 437, No. 7
, (2008) Mass formula for self-dual codes over Z
Discrete Mathematics Volume 308, No. 14
Papers Presented
- Hilbert Series and Free Distance Bounds for Quaternary Convolutional Codes in Algebraic Combinatorics, International Conference in Honor of Eiichi Bannai's 60th Birthday, Sendai, Japan
- Association Schemes and Type II Matrices, 6th Taiwan-Philippine Symposium in Analysis, National Sun-Yat Sen University, Kaohsiung, Taiwan
- Multiplicity-free Groups and Terwilliger Algebras, 2nd Asian Mathematics Conference, Suranaree, Thailand
- Finite Groups Association Schemes and Terwilliger Algebras, International Conference on Algebraic Combinatorics and Related Topics, Manila
- Multiplicity-free Subgroups of the Alternating Groups, 10th Algebraic Combinatorics Symposium, Gifu City, Japan
- Invariants of finite groups, Construction and Applications, Annual Scientific Sessions, National Research Council of the Philippines
- Invariants of Finite Groups and Error-correcting Codes , Symposium on the Mathematical Aspects of Computer Science, Baguio City
- Number Theory in the Elementary School, Math Teachers Educators Congress
- Influence of Computers on basic Concepts in Mathematics, Math Teachers Educators Congress
- The Subsconstituient Algebra of a Commutative Association Scheme , NRCP Div. II Annual Research Symposium
- Science and Technology Issues Challenging the Philippines in the next century, UP Faculty Conference
- Multiplicity-free Groups and Finite Gelfand Pairs, 8th Taiwan-Philippines Symposium in Analysis, Tunghai University,Taichung, Taiwan
- Multiplicity-free Transitive Subgroups of the Alternating Groups, Asian Mathematical Conference, Putra World Trade Center, Kuala Lumpur, Malaysia
- On the Terwilliger Algebra of the Group Association Scheme of PSL(2,7) (with I.Orprecio), Annual Convention of the Mathematical Society of the Philippines,Peralmont Inn, Cagayan De Oro City
- Finite Gelfand Pairs and Multiplicity-free Representations, Annual Convention of the Mathematical Society of the Philippines, Peralmont Inn, Cagayan De Oro City
- An Overview of Mathematical Modelling,NRCP Roundtable Discussion on Sustainable Environment, Mariano Marcos State University, Batac, Ilocos Norte
- Building bridges through mathematics, The 14th Indoms International Conference on Mathematics and its application
- Triple transitivity of the dicyclic group and structure of its Terwilliger algebra, 18th SEAMS-UGM International Conference on Mathematics and its application
- Strengthening Mathematics in the developing world, International Congress of Mathematicians
Awards
- Chancellor's Award; Most Outstanding Researcher, UP Diliman, 1997
- NAST-TWAS Science Prize, National Academy of Science and Technology- Third World Academy of Sciences, 1996
- Chancellor's Award: Outstanding UP Diliman Teacher, UPD, 1996
- Fellowship for Foreign Researches, Korea Science and Engineering Foundation, 1996
- Outstanding Publication Award (Editor) for Matimyas Matematika, NAST, 1996
- Outstanding Young Scientist (Mathematics), NAST, 1995
- Professorial Chair in Mathematics, UP Alumni Engineers, 1995
- Professorial Chair in Mathematics, PNOC, 1994
- Grant for Young Mathematicians, International Mathematical Union/International Congress of Mathematicians, 1994
- UP Diamond Jubilee Faculty Grant, UP, 1991
- Graduate Teaching and Research Assistantships, University of Illinois at Urbana-Champaign, 1984
- Graduate Teaching Fellowship, University of Illinois at Urbana-Champaign, 1983
- UP Local Faculty Fellowship, UP, 1982
- Magna Cum Laude, UP Diliman, 1981
- Appointed as Assistant Vice President for Academic Affairs, UP System, UP System, 2000
- Carmen and Gregorio Velasquez Professorial Chair in Mathematics, UP Diliman, 2000
- Asian Alumni Postdoctoral Research Fellowship, Japan Solidarity Committee, 1992