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Mathematics Undergraduate Research Expo


  • Josiah Blaisdell and William Ogletree.

  • Quantum Groups and Communication Capacity.
  • Advait Parulekar.

  • Locating matrices with degenerate eigenvalues.


  • Stephen Capps

  • Modeling Fractional Diffusion Using Brownian Motion.
  • Yaqi Dai

  • Relative monotonicity of secular determinants of quantum graphs.
  • Madeline Hansalik

  • Magnetic Spectral Decimation on the Diamond Fractal.
  • Jacob Hartzer

  • Periodicity of Irreducible Elements in Arithmetical Congruence Monoids.
  • Ronilo Ragodos

  • Percolation Clusters on Products of Fractal Graphs.
  • Meghan Shanks

  • Quantifying CDS Sortability of Permutations Using Strategic Piles.
  • Sicheng Wang

  • Parameter identification via surface deformations.
  • Elise Walker

  • Jacobian elliptic Kummer surfaces and special function identities.


  • Sebastian Arenas

  • Approximating Volume Using Monte Carlo Integration.
  • Stephen Capps

  • Iterations' Frequency of the GCD Algorithm.
  • Angel Castillo

  • Convergence Preserving Permutations and Divergent Fourier Series.
  • Andrew Nemec

  • Self-Orthogonal Cyclic Codes over Finite Chain Rings.
  • Sarah Sahibzada

  • Applications of Artificial Intelligence in Integer Factorization.


  • Andrew Castillo

  • Higher dimensional linking of n-spheres in simplicial complexes embedded in the (2n+1)-sphere.
  • Angel Castillo

  • The Sandpile Group of Series-Parallel Graphs.
  • Jordan Cazamias

  • Exploring Shape Grammar Optimization as a Tool for Automated Design.
  • Joseph L. Donnelly IV

  • How mathematical modeling of circadian rhythms could elucidate underlying biochemistry in mammalians.
  • Nathan LaFerney

  • A Method of Placement for Spent Nuclear Fuel Pools.
  • Will Linz

  • Counting Symmetric Fullerene Patches with 4 Pentagons.
  • Steven Murray

  • Soft Wall Model for the Casimir effect.
  • Barbara Smith

  • Modeling Mean Curvature Flow Using Cellular Automata.
  • Kyle Williams

  • Time-Stepping Methods on the Kuramoto-Sivashinsky Equation
  • Bruce Zheng

  • Factorization Lengths of Arithmetic Congruence Monoids.