Fifth Annual Spuyten Duyvil Regional Undergraduate Mathematics Conference

Yafreisy Carrero
Yafreisy CarreroLandscape Mathematician + Civil Engineer | Founder & Creator of Landscape Mathematics | STEM Field • Design with Numbers

2010 Mathematics in Art & Architecture | Fifth Annual Spuyten Duyvil Regional Undergraduate Mathematics Conference United States Yafreisy Carrero • Presentation on: Architecture and Group Theory • Research Title: Architecture Expressed in Forms of Dihedral Groups and Frieze Groups

Morning Session
Session 1: Differential Equations Room 3402
10:00am
Some Minimization Problems using Calculus of Variations
Bono Lee, St. Francis College
10:20am
Solutions of the Generalized Airy’s Equation
Richard Starks, United States Military Academy
10:40am
Application of Separation of Variables to Underwater Acoustic Examples
Jennifer Kile, Marist College
Session 2: Algebra (Part I) Room 3403
10:00am
Architecture expressed in forms of Dihedral Groups and Frieze Groups
Yafreisy Carrero, College of Mount Saint Vincent
10:20am
A suggestion of a new notation in group theory
Robert Bararwandika, College of Mount Saint Vincent
10:40am
Dancing With The Stars: Advanced Mathematics for Elementary School
Nicole Fjotland, Manhattan College
11:00am
Field of Dreams: Hamilton’s Doomed Quest
Ana Nicolle Strat, Manhattan College
Session 3: Geometry Room 3404
10:00am
From Feynman to Fibonacci and more
Harvey Hindin, Emerging Technologies Group, Inc.
10:20am
Dehn’s Dissection Theorem
Dusan Milanovic, St. Francis College
10:40am
Convex Sets
Vitaly Zaderman, St. Francis College
11:00am
Finding the shape of the Earth
Robert Perez‐Alemany, United States Military Academy
Session 4: Game Theory and Computer Science Room 4402
10:00am
Comparison of Trigonometric Systems Using a Stacking Cylinders Problem
Edward D'Azzo‐Caisser, James Fanning, St. Joseph’s College
10:20am
Tree rotations and Reductions
Yasser Toruno, The City College of New York
10:40am
The Secrets of Wythoff’s Nim
Kyle MacDonald, Fox Lane High School
11:00am
The Application of Game Theory to Determine the Effects of Troop Allocation and Humanitarian
Assistance in Counter Insurgency
James Buensuceso, United State Military Academy
Session 5: Applied Mathematics (Part I) Room 4403
10:00am
The Use of the Hardy‐Weinberg formula to predict change in a population
Adisa Hamata and Anna Gribovskaya, St. Francis College
10:20am
Two‐dimensional model of phase segregation in liquid binary
mixtures Filomena Califano, St. Francis College
10:40am
Depicting the course of infectious diseases with the SIRS model
Bailey Fay, Manhattan College
Session 6: Probability and Statistics Room 4404
10:00am
Properties of Colliding Hyperspheres
Abraham Asfaw, Manhattan College
10:20am
An Upper Bound for the Expected Range of a Random
Sample Marko Dedovic, St. Francis College
10:40am
Predicting the Perfect Matchup: The Use of Collaborative Filtering in Baseball
Daniel Elmblad and Tyler Seymour, United States Military Academy
11:00am
The Fisher Exact Test for Tables Bigger than 2 by 2
Raymond Mugno, Southern Connecticut State University
Afternoon Sessions
Session 7: Analysis Room 3402
2:00pm
An Advanced Calculus Proof of the Fundamental Theorem of
Algebra Metthew Linkus, St. Francis College
2:20pm
A Complex Analysis Proof of the Fundamental Theorem of Algebra
Rajko Kisdobranski, St. Francis College
2:40pm
Brouwer's fixed point theorem in 3‐space and
generalizations Fotios Paliogiannis, St. Francis College
3:00pm
Calculating Fresnel's integrals using the Gaussian
Matthew Dempsey, St. Francis College
Session 8: Algebra (Part II) Room 3403
2:00pm
“General Abstract Nonsense 101“: Categories and Topoi in
Context Ryan Commet, Wayne State University
2:20pm
Algebraic properties of sequences of polynomials
Steven Goliber, Western Connecticut State University
2:40pm
Galois Groups
Aleksandra Milanova, St. Francis College
3:00pm
What is Superrigidity?
Ioannis Farmakis, St. Francis College
Session 9: Combinatorics and Cryptography Room 3404
2:00pm
Sphere Packing and Codes
Anna Haensch, Wesleyan University
2:20pm
Unbreakable Codes
Razia Amzad, Pace University
2:40pm
Longest Subwords and Tableaux
Daniel Bravo‐Vivallo, Wesleyan University
Session 10: Logic and Foundations Room 4402
2:00pm
Hey, Pythagoras! We Have A Problem!
Ross Gingrich, Southern Connecticut State University
2:20pm
Two Solutions to Russell’s Paradox
Nicholas Drozd, Hampshire College
2:40pm
Non‐Standard Models of the Theory of Natural Numbers
Erez Shochat, St. Francis College
3:00pm
The Process and Consequences of Defining Implication in Symbolic
Logic Lucas Enloe, United States Military Academy
Session 11: Applied Mathematics (Part II) Room 4403
2:00pm
Uncertainty in Mathematical Epidemiology: Modeling Viral Dynamics
Edward Ohanian, Marist College
2:20pm
Uncertainty in Mathematical Epidemiology: Modeling Bacterial
Dynamics Joseph Lombardi, Marist College
2:40pm
Hemorrhagic Fevers: The Inadequacy of Constant‐Coefficient Differential Models
Olivia Brozek, Marist College
3:00pm
Exploration of Diffusion and Infection Models: Sensitivity to Topology and Initial
Conditions Steven Thomas Kinney, United States Military Academy
Session 12: Graph Theory Room 4404
2:00pm
Minor‐minimal intrinsically linked signed projective graphs (Part I)
Lynea Snyder, SUNY Potsdam
2:20pm
Minor‐minimal intrinsically linked signed projective graphs (Part II)
Yen Duong, SUNY Potsdam
2:40pm
“Proving to be Graceful”
Richard Hargrove, Manhattan College
3:00pm
The Five Platonic Solids: An Existence Proof through Graphs
Jean Nicolas Pestieau, Suffolk County Community College
Poster Session
3:30pm– 4:00pm Callahan Center
“Sweet spot” phenomenon on a baseball bat” (Poster I)
Grigoriu Rus, Jonathan Yeo, and Cleark Yuan, United States Military Academy
“Sweet Spot of a Baseball Bat” (Poster II)
Daniel Radil, Sebastian McDaniel, Richard Poach, Southern Connecticut State University
The many proofs of the Pythagorean Theorem
Patricia Terepka, St. Francis College
Fractions through the Years
Cristina Liberta, Enzamaria Scandariato, Catherine Nelson, St. Francis College

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Fifth Annual Spuyten Duyvil Regional Undergraduate Mathematics Conference

  • 1. Morning Session Session 1: Differential Equations Room 3402 10:00am Some Minimization Problems using Calculus of Variations Bono Lee, St. Francis College 10:20am Solutions of the Generalized Airy’s Equation Richard Starks, United States Military Academy 10:40am Application of Separation of Variables to Underwater Acoustic Examples Jennifer Kile, Marist College Session 2: Algebra (Part I) Room 3403 10:00am Architecture expressed in forms of Dihedral Groups and Frieze Groups Yafreisy Carrero, College of Mount Saint Vincent 10:20am A suggestion of a new notation in group theory Robert Bararwandika, College of Mount Saint Vincent 10:40am Dancing With The Stars: Advanced Mathematics for Elementary School Nicole Fjotland, Manhattan College 11:00am Field of Dreams: Hamilton’s Doomed Quest Ana Nicolle Strat, Manhattan College
  • 2. Session 3: Geometry Room 3404 10:00am From Feynman to Fibonacci and more Harvey Hindin, Emerging Technologies Group, Inc. 10:20am Dehn’s Dissection Theorem Dusan Milanovic, St. Francis College 10:40am Convex Sets Vitaly Zaderman, St. Francis College 11:00am Finding the shape of the Earth Robert Perez‐Alemany, United States Military Academy Session 4: Game Theory and Computer Science Room 4402 10:00am Comparison of Trigonometric Systems Using a Stacking Cylinders Problem Edward D'Azzo‐Caisser, James Fanning, St. Joseph’s College 10:20am Tree rotations and Reductions Yasser Toruno, The City College of New York 10:40am The Secrets of Wythoff’s Nim Kyle MacDonald, Fox Lane High School 11:00am The Application of Game Theory to Determine the Effects of Troop Allocation and Humanitarian Assistance in Counter Insurgency James Buensuceso, United State Military Academy Session 5: Applied Mathematics (Part I) Room 4403 10:00am The Use of the Hardy‐Weinberg formula to predict change in a population Adisa Hamata and Anna Gribovskaya, St. Francis College 10:20am
  • 3. Two‐dimensional model of phase segregation in liquid binary mixtures Filomena Califano, St. Francis College 10:40am Depicting the course of infectious diseases with the SIRS model Bailey Fay, Manhattan College Session 6: Probability and Statistics Room 4404 10:00am Properties of Colliding Hyperspheres Abraham Asfaw, Manhattan College 10:20am An Upper Bound for the Expected Range of a Random Sample Marko Dedovic, St. Francis College 10:40am Predicting the Perfect Matchup: The Use of Collaborative Filtering in Baseball Daniel Elmblad and Tyler Seymour, United States Military Academy 11:00am The Fisher Exact Test for Tables Bigger than 2 by 2 Raymond Mugno, Southern Connecticut State University Afternoon Sessions Session 7: Analysis Room 3402 2:00pm An Advanced Calculus Proof of the Fundamental Theorem of Algebra Metthew Linkus, St. Francis College 2:20pm A Complex Analysis Proof of the Fundamental Theorem of Algebra Rajko Kisdobranski, St. Francis College 2:40pm Brouwer's fixed point theorem in 3‐space and generalizations Fotios Paliogiannis, St. Francis College 3:00pm Calculating Fresnel's integrals using the Gaussian Matthew Dempsey, St. Francis College
  • 4. Session 8: Algebra (Part II) Room 3403 2:00pm “General Abstract Nonsense 101“: Categories and Topoi in Context Ryan Commet, Wayne State University 2:20pm Algebraic properties of sequences of polynomials Steven Goliber, Western Connecticut State University 2:40pm Galois Groups Aleksandra Milanova, St. Francis College 3:00pm What is Superrigidity? Ioannis Farmakis, St. Francis College Session 9: Combinatorics and Cryptography Room 3404 2:00pm Sphere Packing and Codes Anna Haensch, Wesleyan University 2:20pm Unbreakable Codes Razia Amzad, Pace University 2:40pm Longest Subwords and Tableaux Daniel Bravo‐Vivallo, Wesleyan University Session 10: Logic and Foundations Room 4402 2:00pm Hey, Pythagoras! We Have A Problem! Ross Gingrich, Southern Connecticut State University 2:20pm Two Solutions to Russell’s Paradox Nicholas Drozd, Hampshire College
  • 5. 2:40pm Non‐Standard Models of the Theory of Natural Numbers Erez Shochat, St. Francis College 3:00pm The Process and Consequences of Defining Implication in Symbolic Logic Lucas Enloe, United States Military Academy Session 11: Applied Mathematics (Part II) Room 4403 2:00pm Uncertainty in Mathematical Epidemiology: Modeling Viral Dynamics Edward Ohanian, Marist College 2:20pm Uncertainty in Mathematical Epidemiology: Modeling Bacterial Dynamics Joseph Lombardi, Marist College 2:40pm Hemorrhagic Fevers: The Inadequacy of Constant‐Coefficient Differential Models Olivia Brozek, Marist College 3:00pm Exploration of Diffusion and Infection Models: Sensitivity to Topology and Initial Conditions Steven Thomas Kinney, United States Military Academy Session 12: Graph Theory Room 4404 2:00pm Minor‐minimal intrinsically linked signed projective graphs (Part I) Lynea Snyder, SUNY Potsdam 2:20pm Minor‐minimal intrinsically linked signed projective graphs (Part II) Yen Duong, SUNY Potsdam 2:40pm “Proving to be Graceful” Richard Hargrove, Manhattan College 3:00pm The Five Platonic Solids: An Existence Proof through Graphs Jean Nicolas Pestieau, Suffolk County Community College
  • 6. Poster Session 3:30pm– 4:00pm Callahan Center “Sweet spot” phenomenon on a baseball bat” (Poster I) Grigoriu Rus, Jonathan Yeo, and Cleark Yuan, United States Military Academy “Sweet Spot of a Baseball Bat” (Poster II) Daniel Radil, Sebastian McDaniel, Richard Poach, Southern Connecticut State University The many proofs of the Pythagorean Theorem Patricia Terepka, St. Francis College Fractions through the Years Cristina Liberta, Enzamaria Scandariato, Catherine Nelson, St. Francis College