Sex: Male

Education:

• Bielefeld University, Germany, Doctor of Mathematics, 2011
• University of the Philippines, Diliman, Quezon City, Philippines, Master of Science in Mathematics, 2005
• University of the Philippines, Diliman, Quezon City, Philippines, Bachelor of Science in Mathematics (magna cum laude), 2001

Field of Specialization:

Mathematics, Mathematical Crystallography, Combinatorics, Numeration, Discrete Geometry

Researches:

Damasco, J.R.C.G., Frettlöh, D., & Loquias, M.J.C., (2019) Fundamental Domains for Rhombic Lattices with Dihedral Symmetry of Order 8
Electronic Journal of Combinatorics Volume 26, No. 3

Felix, R.P., & Loquias, M.J.C., (2008) Enumerating and identifying semiperfect colorings of symmetrical patterns
Zeitschrift für Kristallographie - Crystalline Materials Volume 223, No. 8

Loquias, M.J.C., & Zeiner, P., (2011) Coincidences, Colourings and Similarities
Mathematics of Quasi-Periodic Order, edited by Shigeki Akiyama, RIMS Kôkyûoku Volume 1725

Loquias, M.J.C., & Zeiner, P., (2010) Coincidence isometries of a shifted square lattice
Journal of Physics: Conference Series Volume 226, No. 1

Loquias, M.J.C., Valdez, L.D., & Walo, M.L.B., (2017) Color groups of colorings of N-planar modules
Journal of Physics: Conference Series Volume 809, No. 1

Loquias, M.J.C., & Zeiner, P., (2011) Colourings of lattices and coincidence site lattices
Philosophical Magazine Volume 91, No. 19-21

Loquias, M.J.C., Nochefranca, L.R., Tan, E.L., & Panganiban, P.G., (2004) On finding the girth of graphs with certain properties arising from PSL(2,q)
Matimyás Mat. Volume 27, No. 1-3

Capco, J., Loquias, M.J.C., Manongsong, S.M.M., & Nemenzo, F.R., (2019) Inverse Kinematics of Some General 6R/P Manipulators
arXiv.org preprint, Cornell University

Loquias, M.J.C., Mkaouar, M., Scheicher, K., & Thuswaldner, J.M., (2017) Rational digit systems over finite fields and Christol's Theorem
Journal of Number Theory Volume 171

Loquias, M.J.C., & Zeiner, P., (2014) The coincidence problem for shifted lattices and crystallographic point packings
Acta Crystallographica Section A: Foundations and Advances Volume 70, No. 6

Evidente, I.F., Felix, R.P., & Loquias, M.J.C., (2015) Symmetries and color symmetries of a family of tilings with a singular point
Acta Crystallographica Section A: Foundations and Advances Volume A71

Corcino, R.B., Gonzales, K.J.M., Loquias, M.J.C., & Tanm E.L., (2015) Dually weighted Stirling-type sequences
European Journal of Combinatorics Volume 43

Loquias, M.J.C., & Zeiner, P., (2015) Coincidence indices of sublattices and coincidences of colorings
Zeitschrift für Kristallographie - Crystalline Materials Volume 230, No. 12

Arias, J.C.H., Gabinete, E.D., & Loquias, M.J.C., (2014) Coincidences of a Shifted Hexagonal Lattice and the Hexagonal Packing
Acta Physica Polonica A Volume 126, No. 2

Damasco, J.R.C.G., Frettlöh, D., & Loquias, M.J.C., (2013) Highly symmetric fundamental domains for lattices in R^2 and R^3
arXiv.org, Cornell University