# Undergraduate Colloquium for 2nd Semester AY 2023-24

You are all invited to attend the Undergraduate Colloquium to be held on **20 May (Monday), 8:00 AM – 3:50 PM**, **25 May (Saturday), 8:00 AM – 4:50 PM**, and **27 May (Monday), 8:00 AM – 3:50 PM**. This is a face-to-face event to be held at the **Institute of Mathematics Building, MB 118.**

You can download a copy of the program through the following link: bit.ly/IMUndergradColloq2ndSem2324. Refer to the tables below for the schedule of presentations.

#### Day 1 Morning Session: 20 May, 08:00-11:30 AM

Time | Presentor | Title | Adviser | Examiner |

8:00 – 8:20 AM | Riana Francine Tario | Optimizing Adaptive Cancer Treatment Involving Tumor-Associated Neutrophils | Angeles GM / de los Reyes | Tandigan |

8:20 – 8:40 AM | Jeorjia Marie Austria | Bifurcation Analysis of a Menstrual Cycle Model Reveals Estrogen Threshold for Ovulation | de los Reyes | Tandigan |

8:40 – 9:00 AM | Mark Lois Fortin | Local Stability of Reaction-Diffusion Predator-Prey Model with Prey Refuge and Prey Infection | Angeles GM | Mohammad |

9:00 – 9:20 AM | Melquezedec James Cruz | Reaction Network Analysis of Carbon Dioxide Removal Through Direct Ocean Capture | Hernandez | Angeles GM |

9:20 – 9:40 AM | Al Jay Lan Alamin | Structure of the Set of Positive Steady States of a Class of Power Law Kinetic Systems with Independent Decompositions | Hernandez | de los Reyes |

9:40 – 10:10 AM | BREAK | |||

10:10 – 10:30 AM | Ma. Alliah Antig | Identifying Kinetics-Independent Robust Perfect Adaptation Properties on Apoptotic Models | Hernandez | Damasco |

10:30 – 10:50 AM | Shawnrick Andrei Pacura | Application of Extended Fourier Amplitude Sensitivity Test (eFAST) on an Insulin Synthesis and Secretion Model | Mendoza VM | Angeles GM |

10:50 – 11:10 AM | Dan Mark Orapa | Traffic Behavior Analysis using Graph Convolutional Networks | Mendoza VM | Paningbatan |

11:10 – 11:30 AM | Kristel Kaye Mandap | Support Vector Machines for Binary Classification in Gaming and Medical Datasets | Mendoza VM | Sambayan |

#### Day 1 Afternoon Session: 20 May, 12:40-03:50 PM

Time | Presentor | Title | Adviser | Examiner |

12:40 – 1:00 PM | Nicole Angela Sajo | Classifying Music Genres using \(k\)-Nearest Neighbors and Support Vector Machines | Sambayan | Enriquez |

1:00 – 1:20 PM | Russel Ryan Floresca | Accelerated Gradient Descent Algorithm using Dynamical Systems for Unconstrained Optimization | Mendoza R | Enriquez |

1:20 – 1:40 PM | Bryan Aquino | On the Applications of the Self-Adaptive Spherical Search Algorithm | Mendoza R / Mendoza VM | Cagubcob |

1:40 – 2:00 PM | Marcia Victoria Rebollido | Optimal Selection of Fire Truck Parking Stations in Universities | Bargo / Mendoza R | Velasco AC |

2:00 – 2:30 PM | BREAK | |||

2:30 – 2:50 PM | Angelina Kyla Arnido | Determining the Optimal Time Step Ratio for the Parareal Algorithm in Solving \(y^\prime = Ay\) | Bargo | Cagubcob |

2:50 – 3:10 PM | Eurisen Narvarte | A Maillet-type Theorem for Nonlinear Partial Differential Equations | Ona MP | Oropeza |

3:10 – 3:30 PM | Ken Fritz Arnold Rey | Spectral Approximations of the Heat Kernel using Gaussian Quadratures | Celiz / Velasco AC | Cagubcob |

3:30 – 3:50 PM | Lem Nathan Ereña | Markov Chain Monte Carlo Approximation of Volume-preserving Mean Curvature Flow | Mohammad | Sambayan |

#### Day 2 Morning Session: 25 May, 08:00-11:50 AM

Time | Presentor | Title | Adviser | Examiner |

8:00 – 8:20 AM | Joshua Dominic Sanchez | Minimally Potentially Stable Sign Patterns | Joven | Misa |

8:20 – 8:40 AM | Celyna Patrice Chua | Unit Triangular Factorization of Symplectic Matrices | Joven | Domingo |

8:40 – 9:00 AM | Aedan Jarrod Potot | Schur-Horn Theorem and Ky Fan Principle for Symplectic Eigenvalues | Dela Rosa | Sta. Ana |

9:00 – 9:20 AM | John Victor Noynoyan | On Elliptical Numerical Ranges | Dela Rosa | Galimba |

9:20 – 9:40 AM | Japheth Dela Torre | A Family of Completely PPT Maps | Dela Rosa | Sta. Ana |

9:40 – 10:10 AM | BREAK | |||

10:10 – 10:30 AM | Allen Jeio Beltran | Chip Configurations of a Variation of the Parallel Chip-Firing Game | Loquias | Dacaymat |

10:30 – 10:50 AM | Leira Anne Buenaventura | Eisenstein Prime Labeling of Some Graphs | Santos | Dacaymat |

10:50 – 11:10 AM | Akira Honra | Fibonacci Numbers, Lucas Numbers and the Infinitudes of Certain Primes | Caalim | Guadalupe |

11:10 – 11:30 AM | Lance Christian Tortona | Three Approaches to the Construction of a Tonnetz for 3-Chords | Ventura | Briones |

11:30 – 11:50 AM | Karl Ethan Alcantara | Colorings of the \([4.8.8]\) Tiling Fixed by a Subgoup \(K\) | Junio | Ona JC |

#### Day 2 Afternoon Session: 25 May, 01:00-04:50 PM

Time | Presentor | Title | Adviser | Examiner |

1:00 – 1:20 PM | Ivan Timbang | On Derivatives and Integrals of Associated Polynomials of Partitions | Aricheta | Shi |

1:20 – 1:40 PM | Martha Mae Misa | On the Derivatives of the Riemann (\Xi)-Function | Celeste | Guadalupe |

1:40 – 2:00 PM | Mikel Angelo Suba | A Connection Between Integer Partitions and the Euler’s Totient Function | Celeste | Shi |

2:00 – 2:20 PM | Joshua Esma | Solving Pell’s Equation over the Integers and over Finite Fields | Aricheta | Sevilleno |

2:20 – 2:40 PM | Dennis Anthony Bernard Garcia | A Polynomial Analogue of an Exponential Diophantine Problem | Dimabayao | Sevilleno |

2:40 – 3:10 PM | BREAK | |||

3:10 – 3:30 PM | Bryan Anthony Uy | A Modern Introduction to Classical Algebraic Geometry and the 27 Lines on a Cubic Surface | Dimabayao | Tamura |

3:30 – 3:50 PM | Kristin Belle Deapera | Characterization of Chemical Bonding through Symmetry and Group Theory | Ventura | Boydon-Ong |

3:50 – 4:10 PM | Marc Russel Arcedera | On Mapping Theorems and its Applications on the Unique Recovery of Analytic Functions | Perez | Ona MP |

4:10 – 4:30 PM | Rufino Ser Louis IV Moreno | An Introduction to Nevanlinna Theory and its Applications on the Range of Analytic Functions | Perez | Vallejo |

4:30 – 4:50 PM | Luis Angelo Lopez | On Natural Boundaries and Gap Theorems | Perez | Vallejo |

#### Day 3 Morning Session: 27 May, 08:00-11:30 AM

Time | Presentor | Title | Adviser | Examiner |

8:00 – 8:20 AM | Lord William Pineda | Minimal Vectors in Linear Codes over \(\mathbb{Z}_4\) | dela Cruz Ro | Galvez |

8:20 – 8:40 AM | Oliff Ada Maj Calumba | Constructions of MDS Matrices | dela Cruz Ro | Florendo |

8:40 – 9:00 AM | Jaime Federico Evangelista | Self-orthogonal Codes over a Commutative Non-unital Ring | Betty | Consorte |

9:00 – 9:20 AM | Paul Vincent Mejia | Reconstruction Algorithms in Irregular Sampling of Bandlimited Functions | Celiz | Malonzo |

9:20 – 9:40 AM | Gerome Christian Novales | Constructing Equi-norm Finite Tight Frames via Singular Value Decomposition | Velasco GA | Malonzo |

9:40 – 10:10 AM | BREAK | |||

10:10 – 10:30 AM | Larrina Mae Esplana | Using Monte Carlo Simulation in Pricing Partial Lookback Options with Random Initiation | Fulgencio / Ramos | Leyson |

10:30 – 10:50 AM | Alyiah Marie Bulilan | Pricing Two-Color Geometric Asian Rainbow Options using Monte Carlo Simulation | Fulgenccio / Ramos | Leyson |

10:50 – 11:10 AM | Vince Kenneth Handa | Ultimate Ruin Probability Approximations for Some Heavy-Tailed Claims Models in Classical Ruin Theory | Ong LK | Pimentel |

11:10 – 11:30 AM | Jomari Dolz | Ruin Probabilities in Models with Archimedean Copula Dependence among Risks | Ong LK | Pimentel |

#### Day 3 Afternoon Session: 27 May, 12:40-03:50 AM

Time | Presentor | Title | Adviser | Examiner |

12:40 – 1:00 PM | Elijah Hannah Limjuco | Modeling Dependency in Cause-Deleted Life Tables using Copulas: An Overview on the Application to Maternal and Non-Maternal Causes of Death in the Philippines | Ong LK | Marfil |

1:00 – 1:20 PM | Rholen Jhane Dalmacio | Calculation of an \(n\)-year Term Endowment Insurance under Broken Heart Syndrome | Ong LK | Grozen |

1:20 – 1:40 PM | Olsen Garcia | A Hybrid Insurance Model for Critical Illness | Saddi | Grozen |

1:40 – 2:00 PM | Jericho Denzel Aruta | Modeling Pension Plans with Quinquennially Increasing Payments and Additional Spousal Benefits | Saddi | Grozen |

2:00 – 2:30 PM | BREAK | |||

2:30 – 2:50 PM | Thea Victoria Martin | Dynamic Properties of Weighted Complex Network Models in the Philippine Foreign Exchange Market | Saddi | Paningbatan |

2:50 – 3:10 PM | Marcus Vincent Co | Using Sums of Poisson Random Variables to Simulate NBA Scores, Games, and Seasons | Marfil | Angeles CH |

3:10 – 3:30 PM | Angel Kian San Nicolas | Forecasting PBA Tournaments by Game Probabilities Obtained through Modified Elo Ratings | Marfil | Angeles CH |

3:30 – 3:50 PM | Jud Justin Toledo | Von Neumann Poker Model with Probabilistic Showdown using Linear and Quadratic Probability Density Function | David | Celiz |