Results of REU Research 2016

REU Mini-Conference held July 18-19, 2016
Schedule and Abstracts

Participants, Presentations, and Reports

• Algebraic Methods in Mathematical Biology Mentors: Anne Shiu; Kaitlyn Phillipson, Ola Sobieska, and Robert Williams
  • Luna Bozeman (Clemson U) and Adriana Morales (U Puerto Rico, Rio Piedras): Analyzing Methods to Determine Pairwise Correlations Between Neuronsslides
  • Luna Bozeman (Clemson U) and Adriana Morales (U Puerto Rico, Rio Piedras): No oscillations in the Michaelis-Menten approximation of the dual futile cycle under a sequential and diistributive mechnism
  • Aaron Chen (Cornell): Neural Codes: Convexity and Computabilityslides
  • Jessica Liu (Bard): Groebner Bases and the Neural Idealslides
  • Mitchell Eithun (Ripon): Proving Global Stability of Processive Phosphorylation Systemsslides
  • Mitchell Eithun (Ripon) and Adriana Morales (U Puerto Rico, Rio Piedras): Stability off Control System of Intracellular Iron Homeostasis: A Mathematical Proofslides
• Algorithmic Algebraic Geometry Mentors: J. Maurice Rojas; Alperen Ergur, Kaitlyn Hellenbrand, Yuyu Zhu
  • Kayla S. Cummings (Pomona College): Bounding the Number of Distinct p-adic Valuations of Integer Roots of Certain SPS-Polynomials Slides.
  • Erin Lipman (Haverford): Bounding Components in Real Zero Sets of Bivariate Pentanomials Slides.
  • Jake Mundo (Swarthmore): Higher-Dimensional Analogues of the Combinatorial Nullstellensatz Slides.
  • Cory Saunders (Haverford): Counting the p-adic valuations of the roots of multivariate systems of polynomials Slides.
  • Lucy Yang (U Minnesotta): A Complexity Bound for Real Zero Sets of n-variate (n+4)-nomials Slides.
• Number Theory Mentors: Matt Young, Riad Masri; Adrian Barquero-Sanchez
  • David Burt (Williams): Moments of L-functions associated to Newforms of Squarefree Level, slides
  • Lindsay Cadwallader (U Connecticut): Faltings Heights of CM Elliptic Curves and Special Gamma Values II, slides
  • Olivia Cannon (Bowdoin): Faltings Heights of CM Elliptic Curves and Special Gamma Values III, slides
  • Tyler Genao (Florida Atlantic U): Faltings Heights of CM Elliptic Curves and Special Gamma Values I, slides
  • Samantha Moore (U Northern Colorado): On the Zeroes of Half-Integral Weight Eisenstein Series on Γ₀(4), slides

Algorithmic Algebraic Geometry

Mathematical Modeling in Biology

Number Theory

Everybody