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Research Training Group
Inverse Problems and Partial Differential Equations

Department of Mathematics, University of Washington

Undergraduate research

The IPDE RTG grant supports undergraduate research projects at UW on many topics. Contact Jim Morrow for information. If you are a UW undergraduate wishing to apply for RTG funds, please use this form.

Spring 2011 undergraduate research projects funded by the RTG grant included:

  1. Mark Bun: "Integrating Polynomials over Simplices", supervisor Jim Morrow
  2. Bill Cauchois: "Support Vector Machines", supervisor William Stein
  3. Tam Do: "Forward Operator in a Seismic Inverse Problem", supervisor Ken Bube
  4. Katlyn Edwards: "Smart Grid Security", supervisor Neal Koblitz
  5. Greg Fenno: "Smart Grid Security", supervisor Neal Koblitz
  6. Courtney Kempton: "The Kelly Criterion", supervisor Jim Morrow
  7. Jerry Li: "Interpolation with Derivative Data", supervisor Jim Morrow
  8. Katia Nepomnyaschya: "UW Math Circle", supervisor Julia Pevtsova
  9. Steve Rutherford: "UW Math Circle", supervisor Julia Pevtsova
  10. Dylan Wilson: "UW Math Circle", supervisor Julia Pevtsova
  11. Ian Zemke: "Algebraic Curves and the Riemann-Roch Theorem", supervisor Jim Morrow


Summer 2011 undergraduate research projects funded by the RTG grant included:

  1. Courtney Kempton: "N-1 graphs", supervisor Jim Morrow
  2. Jerry Li: "Eigenvalues and Eigenvectors of the Kirchhoff and Response Matrices of Electrical Networks", supervisor Jim Morrow


Autumn 2011 undergraduate research projects funded by the RTG grant included:

  1. Mark Bun: "Inverse Problem in Cylindrical Electric Networks", supervisor Jim Morrow
  2. Natalie Hobson: "UW Math Circle", supervisor Julia Pevtsova
  3. Natalie Hobson: "Banzhaf Vectors and Dedekind's Problem", supervisor Sara Billey
  4. Gracie Ingermanson: "Total Positivity and Cluster Algebras", supervisor Jim Morrow
  5. Jerry Li: "Inverse Problem in Cylindrical Electric Networks", supervisor Jim Morrow
  6. Alex Vaschillo: "UW Math Circle", supervisor Julia Pevtsova
  7. Elizabeth Wicks: "Ihara-Zeta Function on Graphs", supervisor Ralph Greenberg
  8. Dylan Wilson: "UW Math Circle", supervisor Julia Pevtsova
  9. Ian Zemke: "Inverse Problem in Cylindrical Electric Networks", supervisor Jim Morrow


Winter 2011 undergraduate research projects funded by the RTG grant included:

  1. Martin Allen: "Representation and Character Theory of Finite Groups", supervisor Monty McGovern
  2. Mark Bun: "Integrating Polynomials over Simplices", supervisor Jim Morrow
  3. Tam Do: "Forward Operator in a Seismic Inverse Problem", supervisor Ken Bube
  4. Katlyn Edwards: "Smart Grid Security", supervisor Neal Koblitz
  5. Gregory Fenno: "Smart Grid Security", supervisor Neal Koblitz
  6. Chloe Huber: "Drawing Graphs on Surfaces of Higher Genus with Sage", supervisor Jim Morrow
  7. Nilolay Malkin: "UW Math Circle", supervisor Julia Pevtsova
  8. Anton Manyak: "Math Challenge Program at Washington Middle School", supervisor Julia Pevtsova
  9. Katia Nepomnyashchaya: "Montlake Math Challenge", supervisor Julia Pevtsova
  10. Steve Rutherford: "UW Math Circle", supervisor Julia Pevtsova
  11. Alex Vaschillo: "UW Math Circle", supervisor Julia Pevtsova
  12. Dylan Wilson: "UW Math Circle", supervisor Julia Pevtsova
  13. Ian Zemke: "Elliptic Curves", supervisor Jim Morrow
  14. Raymond Zhang: "UW Math Circle", supervisor Julia Pevtsova


Fall 2010 undergraduate research projects funded by the RTG grant included:

  1. Dylan Wilson: "UW Math Circle", supervisor Julia Pevtsova
  2. Steve Rutherford: "UW Math Circle", supervisor Julia Pevtsova
  3. Raymond Zhang: "UW Math Circle", supervisor Julia Pevtsova
  4. Alex Vaschillo: "UW Math Circle", supervisor Julia Pevtsova
  5. Katia Nepomnyashchaya: "Montlake Math Challenge", supervisor Julia Pevtsova
  6. Mark Bun: "Integrating Polynomials over Simplices", supervisor Jim Morrow
  7. Anton Manyak: "Math Challenge Program at Washington Middle School", supervisor Julia Pevtsova
  8. Chloe Huber: "Drawing Graphs on Surfaces of Higher Genus with Sage", supervisor Jim Morrow
  9. Alexander Dohoda: "On a Conjectured Inequality for a Closed Loop", supervisor Ben Stephens
  10. Nilolay Malkin: "UW Math Circle", supervisor Julia Pevtsova
  11. Ian Zemke: "Spectral Theory of Linear Operators", supervisor Jim Morrow


Summer 2010 projects funded by the RTG grant included:

  1. Kevin Chu: "Fractals in Sage", supervisor William Stein
  2. Alex Dohoda: "A Conjectured Inequality on Closed Loops in R^3", supervisor Ben Stephens
  3. Chloe Huber: "Drawing Graphs on Surfaces of Higher Genus", supervisor Jim Morrow
  4. Alex Leone: "Sage notebook client/server", supervisor William Stein
  5. Jerry Li: "Uniqueness of Connections between Effectively Adjacent Circular Pairs", supervisor Jim Morrow
  6. Dylan Wilson: "Scheme Theoretic Properties of Triangulated Categories", supervisor Julia Pevtsova


Spring 2010 undergraduate research projects funded by the RTG grant included:

  1. Nate Bottman: "The Generalized AGM and Landen's Transformation", supervisor Jim Morrow
  2. Mark Bun: "Numerical Solutions for the Inverse Problem", supervisor Jim Morrow
  3. Stephanie Dietzel: "SAGE math software", supervisor William Stein
  4. Alexander Dohoda: "On a Conjectured Inequality for a Closed Loop", supervisor Ben Stephens
  5. Dan Gnanapragasam: Stevens School After School Program", supervisor Jim Morrow
  6. Chloe Huber: "Drawing Graphs on Surfaces of Higher Genus", supervisor Jim Morrow
  7. Jane Hung: "Stevens School After School Program", supervisor Jim Morrow
  8. Alex Leone: "SAGE notebook client/server", supervisor William Stein
  9. Anton Manyak: "Math Challenge Program at Washington Middle School", supervisor Julia Pevtsova
  10. Ekaterina Nepomnyashchaya: "Montlake Math Challenge Program", supervisor Julia Pevtsova
  11. Kazuo Thow: "Graph Drawing in SAGE", supervisor William Stein
  12. Dylan Wilson: "Stevens School After School Program", supervisor Jim Morrow
  13. Ian Zemke: "Graph Minor Theorem", supervisor, Jim Morrow
  14. Milda Zizyte: "Stevens School After School Program", supervisor Jim Morrow


Winter 2010 undergraduate research projects funded by the RTG grant include:

  1. Nate Bottman: "The Generalized AGM and Landen's Transformation," supervisor Jim Morrow
  2. Mark Bun: "Numerical Solutions for the Inverse Problem," supervisor Jim Morrow
  3. Kevin Clark: "Graph Drawing in SAGE," supervisor William Stein
  4. Stephanie Dietzel: "SAGE math software," supervisor William Stein
  5. Dan Gnanapragasm: "Stevens School After School Program," supervisor Jim Morrow
  6. Jane Hung: "Stevens School After School Program," supervisor Jim Morrow
  7. Henry Kvinge: "Combinatorial Algorithms in the Character Theory of the Symmetric Group," supervisor Sara Billey
  8. Alex Leone: "SAGE notebook client/server," supervisor William Stein
  9. Anton Manyak: "Math Challenge Program at Washington Middle School," supervisor Julia Pevtsova
  10. Ekaterina Nepomnyashchaya: "Montlake Math Challenge Program," supervisor Julia Pevtsova
  11. Kazuo Thow: "Graph Drawing in SAGE," supervisor William Stein
  12. Genia Vogman: "Deconvolution of Voight Profiles," supervisor Jim Morrow
  13. Dylan Wilson: "Stevens School After School Program," supervisor Jim Morrow
  14. Ian Zemke: "Graph Minor Theorem," supervisor Jim Morrow
  15. Milda Zizyte: "Stevens School After School Program," supervisor Jim Morrow


Autumn 2009 undergraduate research projects funded by the RTG grant included:

  1. Nate Bottman: "The Generalized AGM and Landen's Transformation," supervisor Jim Morrow
  2. Mark Bun: "Numerical Methods for the Inverse Problem," supervisor Jim Morrow
  3. Kevin Clark: "Graph Drawing In SAGE," supervisor William Stein
  4. Chad Klumb: "Inverse Problems for Electrical Networks," supervisor Jim Morrow.
  5. Henry Kvinge: "Combinatorial Algorithms in the Character Theory of the Symmetric Group," supervisor Sara Billey
  6. Anton Manyak: "Math Challenge Program at Washington Middle School," supervisor Julia Pevtsova
  7. Ekaterina Nepomnyashchaya: "Montlake Math Challenge Program," supervisor Julia Pevtsova
  8. Zachary Stein: "Interfacing GAP with SAGE," supervisor William Stein
  9. Kevin Stueve: "Graphical Physics Software for SAGE," supervisor William Stein
  10. Kazuo Thow: "Graph Drawing in SAGE," supervisor William Stein
  11. Genia Vogman: "Deconvolution of Voigt Functions Using Fourier Transforms," supervisor Jim Morrow
  12. James Youngquist: "Computations in Non-Commutative Algebra," supervisor Paul Smith
  13. Ian Zemke: "Graph Minor Theorem," supervisor Jim Morrow
UW IPDE RTG <ipdemail@math.washington.edu>