Second Semester AY 2023-2024

• Math 110.3 (Abstract Algebra III) THW: TTh 13:00-14:30
• Math 158 (Introduction to Discrete Mathematics) THU: TTh 10:00-11:30
• Math 190 (Introduction to Mathematical Research and Writing) MYZ: M 16:00-18:00

Consultation Hours: TTh 14:30-17:30 and WF 14:00-16:00

Graduate Students

• Current
  1. Anjelo Gabriel Cruz: Ph.D. Mathematics (Co-Adviser: Jörg M. Thuswaldner)
  2. Jane Palacio: Ph.D. Mathematics (Co-Adviser: Eden Delight Miro)
  3. Angelica Sta. Ana: Ph.D. Mathematics

• Former
  1. Jeanine Concepcion Arias: Ph.D. Mathematics (2021)
     Dissertation title: Similarity isometries of shifted lattices and point packings
  2. Joseph Ray Clarence Damasco: Ph.D. Mathematics (2019, Co-Adviser: Dirk Frettlöh)
     Dissertation title: More symmetric fundamental domains for lattices and perfect colorings of graphs
  3. Natividad Virginia Estillore: Ph.D. Mathematics (2014, Co-Adviser: Rene Felix)
     Dissertation title: Symmetries and colorings of multilattices
  4. Imogene Evidente: Ph.D. Mathematics (2012, Adviser: Rene Felix)
     Dissertation title: Colorings of regular tilings with a singular center
  5. Anjelo Gabriel Cruz: M.S. Mathematics (2021, Co-Adviser: Gino Angelo Velasco)
     Thesis title: Time-frequency analysis for functions over lattices and crystallographic point packings
  6. Dom Vito Briones: M.S. Mathematics (2019, Co-Adviser: Maria Carmen Amarra)
     Thesis title: On multiple contractions of permutation arrays
  7. Alfonso David Rodriguez: M.S. Mathematics (2019)
     Thesis title: Certain properties of canonical and rational digit systems over formal Laurent series in two indeterminates
  8. Angelica Sta. Ana: M.S. Mathematics (2018, Co-Adviser: Jonathan Caalim)
     Thesis title: Tilings with singularity and spiral tilings obtained from Archimedean tilings
  9. Jeanine Concepcion Arias: M.S. Mathematics (2013)
     Thesis title: Coincidences of certain multilattices derived from the square and hexagonal lattices
  10. Evelyn Gabinete, M.S. Mathematics (2013)
      Thesis title: The coincidence problem for shifted hexagonal lattice
  11. Ken Joffaniel Gonzales, M.S. Mathematics (2012, Co-Adviser: Roberto Corcino)
      Thesis title: Doubly-weighted Stirling-type sequences

Undergraduate Students

• Current
  
  • Allen Jeio Beltran
• Former
  • Zephaniah David Salmo (1st Sem AY 2023-2024)
  • Ma. Shirma Pellene Alegre (2nd Sem AY 2022-2023)
  • Margaret Esther Cruz (2nd Sem AY 2021-2022)
  • Reniel Brian Refe [Co-Adviser: Maria Carmen Amarra] (1st Sem AY 2019-2020)
  • Aimah Domado and Exequiel Kim Isaac Salvador (2nd Sem AY 2018-2019)
  • John Mel Dacaymat (1st Sem AY 2018-2019)
  • Anjelo Gabriel Cruz, Jemaima Cerise Mendoza, and Genette Yna Rendoque [Co-Adviser: Maria Carmen Amarra] (2nd Sem AY 2017-2018)
  • Kyle Marie Mangulabnan, Martin Gabriel Morelos, and Khishi Nishino (2nd Sem AY 2016-2017)
  • Lui Mennard Santos (2nd Sem AY 2016-2017)
  • Jean Elaise De Mata and John Robert Horario (2nd Sem AY 2015-2016)
  • Monica Bacon, Maria Cassandra Nirvana Guia, and Aaron Christopher Victorino (2nd Sem AY 2013-2014)
  • Gilda Mikee Florendo (Summer 2013)
  • Samantha Rose Del Rosario and Bernadette Ramirez (2nd Sem AY 2012-2013)
  • Sahcel Estoperes (1st Sem AY 2011-2012)
  • Jireh Espinosa (2nd Sem AY 2007-2008)
  • Victoria May Paguio (2nd Sem AY 2006-2007)

Google Scholar: https://scholar.google.com.ph/citations?hl=en&authuser=1&user=daY4vsTCvfQC
ORCID iD: https://orcid.org/0000-0002-1427-1069

Peer-Reviewed Publications

1. C. Amarra, D.V.A. Briones, and M.J.C. Loquias, Multiple contractions of permutation arrays, J. Algebraic Combin. 58 (2023) no. 3, 695–715.
2. M.J.C. Loquias and R.B. Santos, Perfect precise colorings of plane semiregular tilings, Acta Cryst. A79 (2023) no. 5, 440–451.
3. J.C.H. Arias and M.J.C. Loquias, Similarity isometries of point packings, Acta Cryst. A76 (2020) no. 6, 677-686.
4. J.R.C.G. Damasco, D.Frettlöh, and M.J.C. Loquias, Fundamental domains for rhombic lattices with dihedral symmetry of order 8, Electron. J. Combin. 26 (2019) Paper 3.5.
5. M.J.C. Loquias, L.D. Valdez, and M.L.B. Walo, Color groups of colorings of \(N\)-planar modules, J. Phys.: Conf.Ser. 809 (2017) 012029.
6. M.J.C. Loquias, M.Mkaouar, K. Scheicher, and J.M. Thuswaldner, Rational digit systems over finite fields and Christol’s theorem, J. Number Theory 171 (2017) 358-390.
7. M.J.C. Loquias and P. Zeiner, Coincidence indices of sublattices and coincidences of colorings, Z. Krist. 230 (2015) no. 12, 749-759.
8. I.F. Evidente, R.P. Felix, and M.J.C. Loquias, Symmetries and color symmetries of a family of tilings with a singular point, Acta Cryst. A71 (2015) no. 6, 583-591.
9. R.B. Corcino, K.J.M. Gonzales, M.J.C. Loquias, and E.L. Tan, Dually weighted Stirling-type sequences, European J. Combin. 43 (2015) 55-67.
10. M.J.C. Loquias and P. Zeiner, The coincidence problem for shifted lattices and crystallographic point packings, Acta Cryst. A70 (2014) no. 6, 656-669.
11. J.C.H. Arias, E.D. Gabinete, and M.J.C. Loquias, Coincidences of a shifted hexagonal lattice and the hexagonal packing, Acta Phys. Pol. A 126 (2014) no. 2, 516-519.
12. M.J.C. Loquias and P. Zeiner, Colourings of lattices and coincidence site lattices, Phil. Mag. 91 (2011) nos. 19-21, 2680-2689.
13. M.J.C. Loquias and P. Zeiner, Coincidence isometries of a shifted square lattice, J. Phys.: Conf. Ser. 226 (2010) 012026.
14. R.P. Felix and M.J.C. Loquias, Enumerating and identifying semiperfect colorings of symmetrical patterns, Z. Krist. 223 (2008) no.8, 483-491.
15. M.J.C. Loquias, L.R. Nochefranca, E.L. Tan, and R.G. Panganiban, On finding the girth of graphs with certain properties arising from \(PSL(2,q)\), Matimyás Mat. 27 (2004) no. 1-3, 47-55.

Non-Refereed Publications

1. M.J.C. Loquias, Similarity isometries of shifted lattices and point packings, in: 2019-20 MATRIX Annals, edited by D.R. Wood, J. de Gier, C.E. Praeger, and T. Tao, MATRIX Book Series 4 (2021) 705-708, Springer, Cham.
2. M.J.C. Loquias and P. Zeiner, Coincidences, colourings and similarities, in: Mathematics of Quasi-Periodic Order, edited by Shigeki Akiyama, RIMS Kôkyûroku 1725 (2011) 137-151.

Preprints

1. J. Capco, M.J.C. Loquias, S.M.M. Manongsong, and F.R. Nemenzo, Inverse kinematics of some general 6R/P manipulators, arXiv:1906.07813 [cs.RO]
2. J.R.C.G. Damasco, D.Frettlöh, and M.J.C. Loquias, Highly symmetric fundamental domains for lattices in \(\mathbb{R}^2\) and \(\mathbb{R}^3\), arXiv:1305.1798 [math.CO]