Undergraduate Research Projects

  1. Analysis of Single Domain Particles, Kevin Hayden (2003).
  2. Phase Separation in Diblock Copolymers, Per Von Soosten (2011).
  3. Fast and Effective Algorithms for Sparse Matrix Representation, Mario Barela (2011).
  4. Bregman Algorithms, Jacqueline Bush (2011).
  5. Multiscale Modeling of atomistic systems, Maria Consuelo Trujillo (2013).
  6. Computer Simulations of Microscopic Polymer Dynamics, Edward Noriega (jointly with Prof. Hector Ceniceros).
  7. Monte Carlos methods for Partial Differential Equations, Jason Legere (STEEM Program - 2013).
  8. Hierarchical Matrices, Briana Smith (née Tippets).
  9. A Parallel Tree Implementation for Long Range Interactions, Briana Smith (née Tippets) (Master's Thesis - 2014).
  10. Monte Carlos Methods, Jacob Acosta (2017).
  11. Principal Component Analysis (Honors Project), Zariluz Alvarado (2017).
  12. Krylov-Subspace Methods for Partial Differential Equations (Senior Thesis), Zariluz Alvarado (2017).
  13. Localization of eigenstates in 1D physical models:A numerical approach to ordered and disordered systems, Xiaofeng Xu (2018).
  14. The Thomas-Fermi-Von Weizs"acker-Dirac Model for Quantum Systems (Senior Thesis), Hangqi Liang (2020).
  15. Finte-Element Methods for the Quantum Many-Body Problem, Luke Sellers (2020).
  16. Numerical Exploration of theMultipole Representation of the Fermi Operator (Senior Thesis), Leyi Zhang (2020).
  17. Non-Equilibrium Green's Function Methods for quantum spin transport, Hengyue Zhang (2021).

Honors Projects and Independent Reading Courses

  1. Brent Oster, who wrote a Kohn-Sham solver for GPUs (2006).
  2. Optimization problems on Matrix Manifolds, Frank Kloster (2011).
  3. Methods of Analysis, Maria Albert Gimeno (2012).
  4. Multigrid Methods, Denisse Gutierrez (STEEM Program, 2013).
  5. Allen Shelledy (STEEM Program, 2013).
  6. Yasmin Gain (STEEM Progra, 2013).
  7. Lukas Keeling, Honors project for Introduction to Linear Algebra course in Winter 2019.
  8. Ian Dulchinos, Honors project for Complex Variables course in Spring 2019.
  9. Kennard Peters, Honors project for Introduction to Analysis course in Spring 2019.
  10. Kaleb Guo, reading course on Numerical Methods for Eigenvalue Problems in Fall 2019.
  11. Dylan Yu, Honors project for Introduction to Analysis course in Winter 2020.
  12. Nathan Booth, reading course on Quantum Computing in Winter and Spring 2020.
  13. Laurence Palmer, Honors project in Numerical Methods course in Spring 2020.
Carlos García Cervera