CURRENT AND PREVIOUS REU and HONORS PROJECTS
(REU=Research Experience for Undergraduates)
The following is a list of current and previous undergraduate Research and
Honors projects. Links to the research proposals, the Honors theses,
and to any related published papers, are included.
2015-2016: Lionel Fiske,
mentored by Dr. Lane McConnell.
Population Dynamics.
Proposal.
In Progress.
Participated in SUnMaRC 2015.
Supported by MCTP NSF DMS-1148801.
2015: Melody Walker,
mentored by Prof. Helen Wearing.
With-in Host Models of Dengue.
Proposal.
In Progress.
Supported by MCTP NSF DMS-1148801.
Presented at SUnMaRC 2015.
2014-2015: Juan Pablo Madrigal Cianci,
mentored by Prof. Jens Lorenz.
Study of Modifications of The Option
Pricing Theory: A Practical Approach.
Proposal.
Thesis abstract.
Thesis.
Defense: 4/28/2015, 3:30pm.
Graduated May 2015.
Presented at SUnMaRC 2015.
2014-2015: Sam Mundy,
mentored by Prof. Alexander Buium.
Adeles and the Riemann-Roch theorem for number fields.
Proposal.
Thesis.
Defense: 4/28/2015, 3:30pm.
Graduated
May 2015.
Supported by MCTP NSF DMS-1148801.
Presented at SUnMaRC 2015.
2014-2015: Mo Li,
mentored by Dr. Huining Kang (Internal Medicine,
Cancer Research Facility).
Statistical Modeling of Genomics Data to Improve Cancer Risk Classication
and Outcome Prediction.
Thesis.
Defense: 4/28/2015. Graduated May 2015.
2014-2015: Nikhil Addleman,
mentored by Prof. Helen Wearing.
A Stochastic Model of Childhood Disease on Metapopulations.
Proposal.
Graduated May 2015.
Supported by MCTP NSF DMS-1148801.
Presented at SUnMaRC 2015.
2014-2015: Charlie Clauss,
mentored by Prof. Monika Nitsche.
Introductory Fluid Dynamics.
Graduated May 2015.
Partially supported by MCTP NSF DMS-1148801.
2014: Miranda Mundt,
mentored by Prof. Monika Nitsche.
Mixing induced by an oscillating plate.
Proposal.
Thesis.
Defense: 12/13/2014.
Supported by MCTP NSF DMS-1148801. Presented at SUnMaRC 2014.
2013-2014: Kirstin Harriger, mentored by Prof. Anna Skripka.
Spectral shift functions for pairs of matrices.
Proposal.
Thesis (draft).
Defense: 05/01/2014.
Supported by MCTP NSF DMS-1148801. Presented at SUnMaRC 2014.
2013-2014: Andrew Baxter, mentored by Prof. Janet Vassilev.
Numerical semigroups: basically full ideals and their closures .
Proposal.
Thesis (draft).
Defense: 05/01/2014.
Supported by MCTP NSF DMS-1148801. Presented at SUnMaRC 2012,2013,2014.
2013-2014: Cullen Roth,
mentored by Prof. Cristina Pereyra.
The fast wavelet transform and its application to electroencephalography:
A study of schizoprenia.
Proposal.
Thesis (draft).
Defense: 05/01/2014.
Supported by MCTP NSF DMS-1148801.
Presented at Biology 2014 Annual Research Day.
2013-2014: Scott Guernsey,
mentored by Prof. Jens Lorenz.
Analyzing a non-linear Black-Scholes option pricing model: The cost
of constant volatility.
Proposal.
Thesis.
Defense: 05/01/2014.
Supported by MCTP NSF DMS-1148801. Presented at SUnMaRC 2014.
2013: Cameron LaVigne,
mentored by Prof. Cristina Pereyra.
Fourier analysis on finite Abelian groups.
Proposal.
Thesis.
Defense: 12/02/2013.
Supported by MCTP NSF DMS-1148801.
2013: Yuridia Leyva, mentored by Prof. Cristina Pereyra.
Is there a representation of the finite Hilbert Transform in
terms of
Haar shift transforms?
Partially supported by MCTP NSF DMS-1148801.
Presented at SUnMaRC 2013.
2013: Reed Young, mentored by Prof. Monika Nitsche.
Computational modeling of fluid mixing.
Proposal.
Partially supported by MCTP NSF DMS-1148801.
2012-2013: Stephen Pietromonaco, mentored by Prof. Matt Blair.
L^p asymptotics on the zonal and sectoral harmonics.
Proposal.
Thesis.
Defense: 12/02/2013.
Supported by MCTP NSF DMS-0739417, DMS-1148801.
Presented at SUnMaRC 2012,2013.
2012-2013: Jeff Gordon,
mentored by Profs. Jens Lorenz and Deborah Sulsky.
Chaos and Legendre Polynomials: Visualization in MATLAB and Paraview.
Proposal.
Thesis.
Defense: 12/02/2013.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2012,2013.
2012-2013: Anastassiya Semenova,
mentored by Prof. Alexander Korotkevich.
Visualization and Algorithm for Simulations of
Electro-Magnetic Field in an
Elementary Cell of a Layer of Metamaterials.
Proposal.
Thesis.
Defense: 5/02/2013.
Supported by NSF OCE 1131791.
Presented at SUnMaRC 2013.
2012-2013: Katherine Freeland,
mentored by Prof. Michael Sonksen.
An Exploration of Mortality Trends Using the SEER Data Set.
Proposal.
Thesis.
Defense: 5/02/2013.
Supported by MCTP NSF DMS-1148801. Presented at SUnMaRC 2013.
2012-2013: Andrew Herring, mentored by Prof. Alex Buium.
The Quaternion Algebra Unit Circle.
Proposal.
Thesis.
Defense: 5/02/2013.
Supported by MCTP NSF DMS-0739417, DMS-1148801.
Presented at SUnMaRC 2012,2013.
2012-2013: Joseph DeAguero, mentored by Prof. Helen Wearing.
Dengue strain competition within a mosquito.
Supported by the IMSD program.
Presented at SACNAS 2012, SUnMaRC 2013, Biology Research Day 2013.
2012-: Gabe Arrillaga, mentored by Prof. Helen Wearing.
Modeling the Effects of Immunological Memory in Dengue Virus.
Proposal.
Partially supported by MCTP NSF DMS-1148801. Presented at SUnMaRC 2013.
2011-2012: Rodrigo Orozco, mentored by Prof. Deborah Sulsky.
Studying HIV-protease dynamics using scattered data approximations.
Proposal.
Thesis.
Codes.
Defense: 04/26/2012.
2011-2012: Sam Bonin, mentored by Prof. Helen Wearing.
Applying continuous wavelet transforms to the study of variable astrophysical masers.
Proposal.
Thesis.
Paper.
Defense: 04/26/2012.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2012.
2011-2012: Alex Benedict, mentored by Prof. Stephen Lau.
Radiation boundary conditions and waveform extraction for
blackhole perturbations.
Proposal.
Paper.
Defense: 04/26/2012.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2012.
2011-2012: Fred Kaul, mentored by Prof. Dimiter Vassilev.
Classification and Contractions of Three-Dimensional Lie Algebras.
Proposal.
Thesis.
Defense: 04/26/2012.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2011.
2010-2011: Dusty Brooks, mentored by Prof. Michael Nakamaye.
N-Impact Trajectories in Rectangular Billiards.
Thesis.
Defense: 05/02/2011.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2011.
2009-2010: Bobby Sena,
mentored by Profs. Helen Wearing and Eric Toolson.
Probabilistic Modeling of Action Potential Generation by Neurons
Thesis.
Defense: 05/6/2010.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2011.
2009-2010: Jason Archer, mentored by Prof. Monika Nitsche.
Deflection of an elliptically loaded vortex sheet by a flat plate.
Thesis.
Paper (to appear).
Defense: 05/6/2010.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC.
2009-2010: Alex Washburn, mentored by Professor Helen Wearing
Comparative modeling of lytic and lysogenic virus life cycles.
Thesis.
Defense: 05/6/2010.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2009.
2009-2010 Bob Cordwell, mentored by Prof. Terry Loring.
Supported by MCTP NSF DMS-0739417.
2008-2009: Joshua Beach, mentored by Prof. Jens Lorenz.
Financial Mathematics.
Defense: 04/28/2009.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2009.
2008-2009: Walker Williamson,
mentored by Prof. Michael Nakamaye.
Representing Music Geometrically.
Presented at SUnMaRC 2009.
2008-2009 Jeremy Johnson, mentored by Prof. Monika Nitsche.
Evolution of Two Cylindrical Vortex Sheets.
Thesis.
Defense: 04/28/2009.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2008.
2008-2009 Roman Wowk, mentored by Prof. Monika Nitsche.
Setup of evolution equations for two cylindrical vortex sheets.
Thesis.
Defense: 04/28/2009.
Supported by MCTP NSF DMS-0739417. Presented at SUnMaRC 2008.
2008-2009: Matt Gooden,
mentored by Prof. James Ellison
Paper (published in PRSTAB).
Supported by MCTP NSF DMS-0739417 and Argonne National Lab (summer).
2005-2006 Jack Moffitt, mentored by Prof. Monika Nitsche.
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