MA001 Rational Fixed Points of Polynomial Involutions Stanislav Ivanov Atanasov, 19, Senior, Model High School of Mathematics “Academician Kiril Popov”, Plovdiv, Bulgaria MA002 On Weitzenboeck Derivations of Free Metabelian Associative
and Lie Algebras
Rumen Rumenov Dangovski, 17, Junior, Sofia High School of Mathematics, Sofia, Bulgaria
MA003 Angles and Bridges: The Effects of Various Arcs on the Strength of Bridges
Reece Matthew Leleux, 17, Junior, Ovey Comeaux High School, Lafayette, LA
MA004 Controlling a Flying Cam: Theory and Application Laura Maehler, 17, Senior, Aldegrevergymnasium Soest, Soest, Germany
MA005 Applications of Dirichlet Series
Asbjorn Christian Nordentoft, 19, Senior, Aurehoj Gymnasium, Gentofte, Copenhagen, Denmark
MA006 An Alternative Proof of the Pappus Chain Theorem using the Method of Circle Inversion
Retselisitsoe Elias Monyake, 17, Senior, Harmony High School, Virginia, Free State, South Africa
MA007 Mathematical Expression of CPGs in Leech Heart Interneurons, Year II
Siddharth Yarlagadda, 16, Junior, Episcopal High School of Jacksonville, Jacksonville, FL
MA008 Olympic Host-Country Advantage
Brandon Michael Williams, 15, Sophomore, Belleview High School, Belleview, FL
MA009 How Does Changing the Real and Imaginary Perturbation Affect the Mandelbrot Fractal?
Pranav Ishaan Warman, 14, Freshman, Academy at the Lakes, Land O’ Lakes, FL
MA010 Transcription of Cetacean Song using a Frequency and Time- Domain Analysis
Alice Ning-Xue Yan, 17, Junior, Liberty High School, Hillsboro, OR MA011 Efficient Characteristic 3 Galois Field Operations for Elliptic Curve
Cryptographic Applications
Vinay Sridhar Iyengar, 17, Junior, Oregon Episcopal School, Portland, OR
MA012 Classification of Some Fusion Categories of Rank 4 Hannah Kerner Larson, 18, Senior, South Eugene High School, Eugene, OR
MA013 On the Fine Classification of Periodic Orbits of Continuous Endomorphisms on the Real Line with Application in Chaos Theory, Year II
# Rashad Abdulla, 16, Senior, West Shore Junior/Senior High School, Melbourne, FL
MA014 Retrospective Study to Analyze Patients’ Risk Factors to Predict the Likelihood of Developing Multiple Sclerosis
Madison Nicole Greco, 18, Senior, Oviedo High School, Oviedo, FL MA015 Structure of the Set of Primitive Pythagorean Triples over
Gaussian Integers
Tomoko Tachibana, 18, Senior, Tsuyama National College of Technology, Tsuyama, Okayama-pref., Japan
MA016 Resolving an Open Problem Related to Figurate Numbers by Pell Equations
Yu-Fang Hsu, 16, Junior, National Nanke International Experimental High School, Tainan, Chinese Taipei
MA017 Series Involving the Reciprocal of Pochhammer’s Symbol # Bertrand Andrew Stone, 15, Junior, Nicolet High School, Glendale, WI MA018 On the Splitting of MO(2) over the Steenrod Algebra
## Maurice Olympic Shih, 16, Senior, Laramie Senior High School, Laramie, WY
MA019 Intercalates Galore
Sarah Lee Shader, 17, Junior, Laramie High School, Laramie, WY MA020 A Marginal Utility-Based Iterative Algorithm for Establishing
Cardinal Preferences
Patrick Hirsch Liscio, 17, Senior, Niles Township West High School, Skokie, IL
MA021 Kaprekar’s Constant: A Journey to New Bases
Daniel Matan Hanover, 15, Sophomore, John L. Miller Great Neck North High School, Great Neck, NY
MA022 15 Pennies
Mikaela Ann Fischer, 16, Junior, Waverly/South Shore High School, Waverly, SD
MA023 The Study and Experimentation of Cryptanalysis, Cryptography in Finding the Most Effective Means of Transmitting Encrypted Messages
Joseph Daniel Wells, 18, Senior, Weber High School, Pleasant View, UT MA024 Moving at the Speed of Light, Part 3: Partial Molar Volumes
Patrick Pachiano, 17, Senior, Christ The King Cathedral School, Lubbock, TX
MA025 Closed-Form Volumes of a Wide Family of Astroidal Ellipsoids and the Hyperbolic Octahedron
Salahaldeen Ibrahim Abu-Alshaikh, 16, Sophomore, Jubilee School, Amman, Jordan
MA026 Lower Central Series Quotients of Finitely Generated Algebras over the Integers
## Katherine Cordwell, 17, Senior, Manzano High School, Albuquerque, NM
MA027 Implementing Graph Theory in a Novel Program for Predicting Carbon Nanostructures
# Bailey Liao, 17, Junior, Half Hollow Hills High School West, Dix Hills, NY MA028 Another Solution of the Thue Problem of Non-repeating Words
Boris Zolotov, 15, Freshman, School #564, Saint-Petersburg, Saint-Petersburg, Russia
MA029 Yoneda Algebra on a Special Biserial Algebra
Andrey Semenov, 16, Junior, School #564, Saint-Petersburg, Russia MA030 Mathematically Modeling the Efficacy of Pertuzumab and
Trastuzumab-dm1 When Used in Conjunction against HER2- Positive Breast Cancer
Rachel Elizabeth Burns, 17, Junior, Loudoun County Academy of Science, Sterling, VA
MA031 Matching Preclusion and Conditional Matching Preclusion for Dual-Cubes
Akhil Nistala, 17, Senior, Novi High School, Novi, MI
MA032 A Novel Mathematical Model of Cellular Apoptosis under the Influence of Hsp70
Ashwin Pavan Ramachandran, 17, Junior, Randolph School, Huntsville, AL
MA033 Electromechanical Modeling of the Heart in Moving Domains using the Phase-Field Method
# Kevin K. Lee, 16, Junior, University High School, Irvine, CA MA034 Integrals of Rational Functions
# Magda Lee Hlavacek, 18, Senior, Saginaw Arts and Sciences Academy, Saginaw, MI
MA035 Recovering the Effective Thermal Conductivity of SIMBA Sea Ice with a Composite Material Model
Daniel Wenchu Liu, 17, Junior, West High School, Salt Lake City, UT MA036 Discretization of Infinite Dimensional Geodesics
Cole Wilkening Hugelmeyer, 17, Senior, Boulder High School, Boulder, CO
MA037 Zeta Function-like Sums Over Lucas Numbers William Kang, 15, Sophomore, Bergen County Academies, Hackensack, NJ
MA038 A Novel Approach to the Spherical Codes Problem
# Simanta Gautam, 17, Senior, Albemarle High School, Charlottesville, VA MA039 Estimation of Population Size Using Sampling with and
without Replacement
Shikha Sreenivasan, 14, Freshman, Tafuna High School, Pago Pago, American Samoa
MA040 Fractal Dimension and Space Filling Curves
Christian Lee Smith, 15, Freshman, Seneca High School, Seneca, MO MA041 Toothpick Probability
Cecilia Louise Dean, 17, Junior, Tishomingo County High School, Iuka, MS
MA042 Exploring the Real Functions using Newton-Raphson Method Javier Diaz, 17, Senior, University Gardens High School, San Juan, Puerto Rico
MA043 Trinomial Powers and the Number of Their Terms
Jose Miguel Rodriguez-Lozano, 16, Senior, Centro Recidencial de Oportunidades Educativas de Mayaguez, Mayaguez, Puerto Rico MA044 Relationship between Hamiltonian Cycles and Determinants of
Tessellations and Platonic Solids’ Graphs
Edsel Gabriel Torres Morales, 17, Senior, Brigida Alvarez Rodriguez, Vega Baja, Puerto Rico
MA045 Dots and Lines: A Combinatorial Interpretation of the Homotopy Groups of Finite Topologies
Colin Campbell Aitken, 17, Senior, Leland High School, San Jose, CA MA046 Mystery Patterns Behind the Euclidean Algorithm
David Chang Luo, 15, Freshman, Baton Rouge Magnet High School, Baton Rouge, LA
MA048 Identification of Biomarkers for the Early Detection of Lung Cancer using a Novel Statistical Test
# Shreya Mathur, 16, Junior, Oxford High School, Oxford, MS
MA049 The Existence of Computable Sequence that Cannot Be Described by Finite Automata
Raushan Serikzhan Serikzhanovna, 17, Freshman, Republican Specialized Physics and Mathematics School after Zhautykov, Almaty, Kazakhstan
MA050 Spidrons
Yun Ha Seo, 16, Junior, Tinian High School, Tinian, Tinian, Northern Mariana Islands
MA051 A Counterexample to Lando’s Conjecture: On Intersection of Spheres in 3-space
Vladislav Alexandrovich Belousov, 18, Junior, Advanced Educational Scientific Center of Lomonosov Moscow State University A.N.Kolmogorov School, Moscow, Moscow, Russia MA052 Configuration Spaces of 4-bar Linkages
Ilya Viktorovich Kirillov, 17, Junior, Lyceum 1303, Moscow, Moscow, Russia
MA053 Analysis of Novel Clustering Algorithms for Gene Expression Patterns
# Shashwat Kishore, 16, Sophomore, Unionville High School, Kennett Square, PA
MA054 A Maximum Principle and Its Applications
# David L Pan, 17, Senior, Canterbury School, Fort Wayne, IN MA055 Q-Distribution Normality on Bounded Bases
Dylan Richard Airey, 17, Senior, Texas Academy of Mathematics and Science, Denton, TX
MA056 Numerical Studies of Existence for a Boundary Value Problem of Ordinary Differential Equations
Jefferson Zhiping Zou, 17, Senior, Alabama School of Fine Arts, Birmingham, AL
MA057 Superadditivity and Subadditivity in Fair Division
Rishi Suvir Mirchandani, 16, Sophomore, Fox Chapel Area High School, Pittsburgh, PA
MA058 Mixing Variables in Extremum Problems
Muhammed Zahid Ozturk, 17, Senior, Private Istanbul Anafen Science High School, Istanbul, Turkey
MA059 Proofs for a Class of Original Grid-Based Pattern Realization Problems
Alan C. Xu, 16, Junior, Ann Arbor Huron High School, Ann Arbor, MI MA060 A Mathematical Analysis of Set Variants
Evan Zheran Liu, 17, Senior, Albuquerque Academy, Albuquerque, NM MA061 Determining Combinatorial Sums using Roots of Unity
Liang Zhou, 16, Junior, John W. North High School, Riverside, CA MA062 Mathematical Modeling of Language’s Affect on Population Flow
and Community Structure
Gabriel Alexander Ferns, 18, Senior, Nicolet High School, Glendale, WI MA063 Early Detection of Disease Through Fractal Dimension Analysis # Madhurima Das, 16, Junior, Plymouth High School, Canton, MI MA301 Tug-of-War: Physical-mathematical Analysis of the Forces
Involved in Tug-of-War Claudio Freda, 19, Senior Andrei Militaru, 20, Senior Francesco Bray, 19, Senior
Liceo Scientifico Statale Paolo Frisi, Monza, Monza e Brianza, Italy MA302 Simulation of Protein Folding using Monte Carlo Methods in a
Triangular Lattice
Niranjan Balachandar, 16, Sophomore Nirali Kunjan Thakor, 15, Freshman Shepton High School, Plano, TX MA303 Scale Balanced Polynomial
Yi-Hao Zhu, 16, Junior Che-Yu Huang, 17, Junior
National Feng-Shan Senior High School, Kaohsiung, Taiwan, Chinese Taipei
MA304 On the Stability of Lung Parenchymal Lesions with Applications to Early Pnemuothorax Diagnosis
Rohan Bandopadhay Banerjee, 16, Junior Archis Ramkrishna Bhandarkar, 17, Junior
Thomas Jefferson High School for Science and Technology, Alexandria, VA
MA305 Percolation Games on Cayley Graphs of Groups Maksim Lvovich Bezrukov, 18, Junior
Aliaksandr Olegovich Stadolnik, 17, Junior
Minsk Gymnasium #41 named after Serebriany V. H., Minsk, Minsk, Belarus
MA306 Dissection of Square into ‘N’ Congruent Squares Nayana Ravindranath Koravatti, 16, Sophomore Aishwarya Chanchi Ashok, 16, Freshman Amrita Vidyalayam, Davangere, Karnataka, India MA307 Analysis of the Erdös Distance Problem in
Modular Elliptic Space Richard Rene Sala, 18, Senior ## Markus Robert Woltjer, 18, Senior
Wilsonville High School, Wilsonville, OR
MA308 Computerized Game Theory Analysis of the Popular Word Game, GHOST
Axel Stephan Feldmann, 16, Sophomore Stefan Luka Colton, 15, Sophomore Hunter College High School, New York, NY MA309 Study of Integrals of Parametric Functions for
Fermat’s Curve of Third Degree Andres Josue Arroyo Colon, 17, Senior Edwin Sebastian Torres-Cuevas, 17, Senior
Centro Residencial de Oportunidades Educativas de Mayaguez, Mayaguez, Puerto Rico