Results of REU Research 2015

REU Mini-Conference held July 20-21, 2015

Schedule and Abstracts

Participants, Presentations, and Reports

• Algebraic Methods in Mathematical Biology Mentors: Anne Shiu, Jay Walton; Severine Biard, Lauren Grimley, and Emma Owusukwaakwaah,
  • Bryan Felix (UT Austin) and Zev Woodstock (James Madison U): An Infinite Family of Chemical Reaction Networks with Multiple Non-Degenerate Equilibria Slides.
  • Antoine Marc (Texas A&M): Analysis of an immunological subnetwork, slides.
  • Meredith McCormack-Mager (Wellesley College): Testing Thermodynamic Compliance of Chemical Reaction Networks Efficiently, slides
  • Diego Lopez (Texas A&M): Incorporating HDL Interaction in an ODE model of Atherosclerosisslides
  • Joseph Donnelly (Texas A&M): Synchronizing Molecular Clocks via ATP: What can we predict?slides
  • Carlos Munoz (Texas A&M): Slides for ``Analysis of the Seasonality in Lyme Disease"
  (Carlos was co-author with Meredith on the final report for ``Testing Thermodynamic Compliance of Chemical Reaction Networks Efficiently'' above)
  • Caitlin Lienkaemper (Harvey Mudd College): When do neural codes come from convex or good covers?slides
• Algorithmic Algebraic Geometry Mentors: J. Maurice Rojas; Alperen Ergur, Emma Owusukwaakwaah, and Jacob White
  • Zander Kelley (Texas A&M): The Number of Roots of Trinomials over Prime Fields, slides.
  • Sean Owen (UMBC): Extremal Trinomials over Quadratic Fields, slides .
  • Yasmina Marden (Reed College) and Hailey Stierneman (Texas State U, San Marcos): Polynomial System Solving Using Archimedean Tropical Varieties, slides
  • Mark Stahl (UT Austin): Refining Fewnomial Theory for Certain 2x2 Systems, slides
• Number Theory Mentors: Matt Young, Riad Masri; Adrian Barquero-Sanchez
  • Josiah Banks (Youngstown State University) and Kevin Sheng (Emory University): The Asymptotic Distribution of Andrews' Smallest Parts Function, slides
  • Polina Vulakh (Bard College) and Sarah Reitzes (Tufts U): Zeros of the Modular Form E_k E_l - E_k+l, slides

Algorithmic Algebraic Geometry

Mathematical Modeling in Biology

Number Theory

Everybody