12 2 Female REU students' names appear in italics. Burton, Ira Budge, Brian Bowen, Kelly Behunin, Ryan Chemin de Fer and Sampling without Replacement Individual Problem of optimal 2003-2004 AY design with A. Cherkaev unknown load Group Program Mathematics of Summer 2005 Games of Chance Ethier Individual Iterated function 2001-2002 AY systems on function Schmitt spaces Individual Neural networks Fall 2004 Wright Minimal surfaces & CMC surfaces Group Program \Mathematics Summer 2002 of Finance" and Khoshnevisan \Simulating the Wright-Fischer Gene Frequency Model" VIGRE REU Project subject Individual Summer 2002 Korevaar Bagley, Spencer Group Program Summer 2005 Ethier Ayala, David Student2 Allred, Micah 1.2 VIGRE supported REU students See App. 1 Honor's thesis: \Regulated Fractional Brownian Motion with Applications to Options Pricing Related activities PhD Program Mathematics Stanford University Applying to PhD programs in Economics Current status 2004 Physics University of Utah 2006 Mathematics Cornell University 2002 PhD Program Mathematics Computer Science University of Utah UC Davis 2005 Mathematics University of Utah 2003 Mathematics Japanese (minor) Economics (minor) Brigham Young University 2002 Mathematics University of Utah 2006 Mathematics University of Utah Undergraduate 13 Individual Spring 2003 A. Cherkaev Individual 2002-2003 AY Kapovich Relationships analogous to triangle inequalities Coon, Joshua Crum, Gary Linear and Nonlinear Voter Voter Model Inverse problems in additive number theory Spatial embeddings of graphs Group Program Summer 2002 Khoshnevisan Group Program Summer 2004 Dobson Group Program Summer 2001 Carlson/Toledo Application of dynamic equations to model cortical activity Topological persistence on the structure of the contour tree Packing problem The irreducible representations of the symmetric group Individual 2001-2002 AY Hecht Group Program Knot Theory: Summer 2001 Colorability Carlson/Toledo VIGRE REU Project subject Individual 2001-2002 AY Bresslo Cole-McLaughlin, Individual Cree 2002-2003 AY M. Bestvina Cohen, Aaron Calaway, Christopher Student Butler, Rex 2005 Mathematics University of Utah 2003 Software Engineer Mathematics Autonomous Solutions University of Utah Wellsville, UT 2003 PhD Program Mathematics Mathematics University of Utah UCLA 2006 Mathematics University of Utah Mathematics University of Utah Current status 2003 Graduate Program Mathematics Mathematics University of Utah University of Utah Related activities Undergraduate 14 Du, Song Dobie, Ginger Das, Dilip Investigations related to the True Body Mass Index Lattice models for the motion of phase boundaries Mathematics of Games of Chance Automorphisms Model the properties of spike sequences generated by neurons in response to known stimuli Group Program Inverse problems and Summer 2004 Applications Dobson Individual Summer 2003 Bresslo Group Program Hitting/Escape Summer 2002 Probabilities for Khoshnevisan Brownian Motion Individual 2001-2002 AY M. Bestvina Group Program Summer 2005 Ethier Individual Fall 2005 Korevaar Individual 2001-2002 AY Fife Summer 2001 colorability Carlson/Toledo Student VIGRE REU Project subject Dalton, Matthew Group Program Knot theory: 2007 Mathematics MIT 2007 Mathematics University of Utah 2005 Mathematics Electrical Engineering University of Utah 2002 Mathematics Physics (minor) Spanish (minor) University of Utah Related activities Undergraduate Current status 15 Thermal conductivity of sea ice Comparison of thermal conductivity data with multicomponent material bounds in order to estimate the thermal conductivity of sea ice Individual Summer 2002 Golden Individual 2002-2003 AY Golden Thermal conductivity of sea ice Model of direction selectivity in the visual cortex Mathematics of Games of Chance Group Program \Mathematics Summer 2002 of Finance" Khoshnevisan \Simulating the Wright- Fischer Gene Frequency Model" Individual A mathematical Spring 2003 model of the Bresslo primary visual cortex VIGRE REU Project subject Individual 2003-2004 AY Bresslo Ferris, Dustin Group Program Summer 2005 Ethier Finlayson, Troy Individual 2001-2002 AY Golden Faust, John Student Ellis, Amanda Attended ETOPIM6, June 2002 Lecture at NCUR, March 2003 Research trip to Barrow, AK, June 2003 See App 1. Related activities Medical School George Washington University PhD Program University of Utah Current status 2006 Mathematics Duquesne University 2004 Medical School Physics University of Utah University of Utah 2004 Mathematics University of Utah 2002 Mathematics University of Utah Undergraduate 16 Exploring selfsimilarity & the geometry of fractals Hausdor dimension & box counting dimension Individual Spring 2002 Treibergs Individual Summer 2002 Treibergs VIGRE REU Project subject Groulx, David A level set model for realistic cloth simulation Group Program Real time Summer 2004 visualization Dobson and rendering Individual Spring 2004 Hartenstine Group Program Elliptic Curves Summer 2003 Bertram Giessing, Michael Group Program Elliptic Curves Summer 2003 Bertram Gonzalez, Jose Group Program Elliptic Curves Summer 2003 Bertram Student Fossmo-Jacobs, Jenny Mathematics University of Puerto Rico 2005 Mathematics University of Utah 2004 Graduate Program Mathematics Mathematics University of Utah University of Utah Current status 2003 High School Mathematics Mathematics University of Utah Teacher Related activities Undergraduate 17 A Multifractal Walk down Wall Street Mathematics behind the electromagnetic response of sea ice Develop an equation model to describe the optimal algal position in sea ice that characterizes their preferred position as a maximum minimum problem Stochastic DE & their simulation Individual Summer 2005 Golden Individual Spring 2003 Golden Individual Summer 2003 Golden Inverse problems in the microstructure of sea ice Individual 2004-2005 AY Golden Group Program Digital cleaning Summer 2004 of old painting Dobson VIGRE REU Project subject Individual 2003-2004 AY Golden Hancock, Nathan Individual 2002-2003 AY Fogelson Harris, Patrick Individual Fall 2005 Schmitt Hadley, Rhett Student Gully, Adam Research trip to Barrow, AK, Summer 2005 Medical School Current status 2003 Medical School Mathematics Rosalind Franklin University of Utah University 2007 Mathematics, Physics, & Theatre University of Utah 2005 Biology University of Utah 2007 Mathematics University of Utah Related activities Undergraduate 18 Individual Spring 2002 Golden Modeling the microstructure of glacial sea ice VIGRE REU Project subject Related activities Undergraduate Individual 2001-2002 AY Adler Optimal time for cystic brosis patients Attended ETOPIM6, 2005 Summer 2002 Chemistry Lecture at NCUR, University of Utah March 2003 Individual Permeability of AMS Exhibitor, CNSF Summer 2003 uid & gas Presentation, Golden through natural ices US Congress Lecture, NCUR in Individual Bounds for uid Mathematics, 2003 2003-2004 AY ow through Lecture at seminar, Golden sea ice Victoria University, New Zealand, 2004 Research trip to Barrow, AK, 2003 Lecture, Undergraduate Research Symposium, 2005 See App. 1 Henline, Jason Group Program Elliptic curves 2006 Summer 2003 Mathematics Bertram Physics University of Utah Henriksen, Tara Individual Relationship between University of Utah Summer 2001 between disease & Adler pulmonary function Student Heaton, Amy PhD Program Engineering University of Utah PhD Program Chemistry University of Utah Current status 19 Individual Summer 2003 Savin Individual Spring 2003 Savin Jabini, Ali Individual Fall 2004 Golden Individual Summer 2004 Golden Individual Summer 2002 Golden Individual 2004-2005 AY Khoshnevisan See App. 1 Honor's thesis: \On the length of continued p fraction of p= 3" PhD Program Mathematics UCLA Current status 2006 PhD Program Mathematics Engineering Computer Engineering Columbia University University of Utah 2005 Mathematics University of Utah 2006 Mathematics University of Utah 2004 Honors Mathematics University of Utah Related activities Undergraduate Using simulations to study the properties of non-linear time series Electromagnetic Research trip to waves in Barrow, AK,2004 homogeneous media Lecture, Undergraduate Conductivity of Research resistor networks Symposium, 2005 Asymptotic properties of GARCH On the length of continued fraction p pf p= 3 Unbalanced Card Counting Investigate the properties of elliptic functions VIGRE REU Project subject Individual 2003-2004 AY Savin Houpt, Joseph Group Program Summer 2005 Ethier Horvath, Zsuzanna Individual Summer 2004 Khoshnevisan Student Hofmann, Michael 20 DNA melting temperature anaylsis Optimal drawing strategy for Dueces Wild video Individual Summer 2004 Fall 2005 Horvath Credit Scores & Correlation with Actual Financial Risk Group Program Diuse tomography Summer 2004 Dobson Johnston, Ryan Individual Johnson, Alan Summer 2001 Ethier Jensen, Stephen Individual & PCR Spring 2004 Palais Student VIGRE REU Project subject Jarstad, Allison Individual DNA synthesis 2006 Mathematics Physics (minor) University of Utah Undergraduate Research written up 2002 as tech report Mathematics Results were used in a University of Utah in a paper: S. N. Ethier & D. Khoshnevisan, Khoshnevisan, Bounds on gambler's ruin ruin probabilities in in terms of moments, Methodology & Computing in Applied Probability, 4, 55-68, (2004) 2006 Mathematics Physics (minor) UC Berkeley Related activities 2004 M.S. Statistics Oregon State University Current status 21 Lindsay, David Representation of binary cubic forms Individual 2001-2002 AY Niziol Recovering exposure coecients in the SEIR model in two & three populations Elliptic curves Inverse problems Group Program Inverse problems Summer 2004 Dobson Group Program Elliptic curves Summer 2003 Bertram Group Program Elliptic curves Summer 2003 Bertram Individual 2003-2004 AY Savin Group Program Elliptic curves Summer 2003 Bertram VIGRE REU Project subject Group Program Summer 2004 Dobson Lanson, Gregory Group program Summer 2004 Dobson Kramer, Joel Knaeble, Brian Student Kartchner, Les Graduate Program Mathematics Georgia Tech Graduate Program Mathematics Johns Hopkins University 2005 Mathematics Japanese (minor) Colby College 2003 Graduate Program Mathematics Mathematics University of Utah University of Utah 2004 Mathematics University of Utah 2004 Mathematics University of Utah Current status 2004 Graduate Program Mathematics Mathematics University of Utah University of Maryland Related activities Undergraduate 22 Morris, Jeremy Milyavskaya, Polina Meckler, Scott McKay, Ron Using rays of light & mirror to determine the makeup of a the body of an object Group Program Composition Summer 2005 Dependent Ethier Strategy at Blackjack: Hit or Stand on Sixteen Individual Network theory Lecture, Summer 2004 Undergraduate Trapa Research Symposium, Individual 2005 2004-2005 AY Trapa 2005 Research Assistant Mathematics Budget & Analysis University of Utah University of Utah 2006 Computer Science Mathematics University of Utah 2006 Mathematics SUNY Geneseo Individual Spring 2003 Khoshnevisan Group Program Summer 2004 Dobson Ito diusions 2003 Graduate Program Mathematics Mathematics University of Utah University of Utah Lebesgue integral integral Fourier analysis & wavelets Current status 2005 Graduate Program Mathematics Mathematics University of Utah UCLA Related activities Undergraduate Individual Summer 2004 Smale Group Program Hitting/Escape Summer 2002 Probabilities for Khoshnevisan Brownian Motion 2003-2004 AY Smale Student VIGRE REU Project subject Mahboubi, Pejman Individual Measure theory, 23 Composite materials & their eective properties Electroheological uids Propagation & scattering of electromagnetic waves in composite media Wavelets, frames, & operator algebras Individual 2002-2003 AY Golden Imaging microstructures in sea ice Individual Summer 2005 Golden Individual Summer 2002 Golden Individual Fall 2004 Golden Individual Summer 2004 Golden Individual Spring 2004 Golden VIGRE REU Project subject Summer 2005 Smale Nelson, Andrew Individual Murphy, Ben Student Morris, Megan Research trip to Barrow, AK, 2004 Current status 2006 Mathematics University of Utah 2004 Graduate Program Mathematics Mathematics Physics University of Utah University of Utah 2006 Biomedical Engineering University of Utah Related activities Undergraduate 24 Group Program Summer 2004 Dobson Individual 2003-2004 AY Enescu Group Program Summer 2001 Carlson/Toledo Individual Summer 2003 Fogelson Individual 2002-2003 AY Fogelson Perschon, Collin Individual Summer 2005 Bell Group Program Summer 2003 Bertarm 2004-2005 AY Bell CAT(0) groups and small cancellation groups Elliptic curves Hyperbolic geometry Jet schemes for hypersurfaces from a computational point of view Inverse Problems Elastic properties of brin meshes formed when blood clots VIGRE REU Project subject Pecharich, Jeremy Individual Palmer, Robert Nielsen, Hyrum Student Newren, Nancy 2006 Mathematics Physics University of Utah 2004 Mathematics University of Utah 2002 Computer Science Mathematics (minor) University of Utah 2005 Mathematics Physics University of Utah 2006 Mathematics University of Utah Related activities Undergraduate Graduate Program Mathematics University of Utah PhD Program School of Computing University of Utah Current status 25 Three dimensional topology and geometry Individual Fall 2005 A. Charkaev Individual Summer 2004 Bromberg Rettberg, Ryan Individual Fall 2005 Horvath Group Program Summer 2001 Carlson/Toledo Individual 2004-2005 AY Bromberg Radke, Eric Group Program Summer 2003 Bertram Reimherr, Matthew Group Program Summer 2005 Ethier Knot theory: colorability Risk Associated with Credit Scores Mathematics of Games of Chance: Relationship between the Gambler's Ruin & Run Formulas Elliptic Curves Hyperbolic geometry/ topology Composite materials with spiral geometry Individual 2004-2005 AY Milton Petersen, Kellen Polevaya, Nika VIGRE REU Project subject Student Medical School Current status 2002 Mathematics University of Utah PhD Program Mathematics University of Illinois 2004 Graduate Program Mathematics Mathematics Case Western Reserve UCLA 2006 Mathematics University of Utah 2005 Mathematics University of Utah 2006 Mathematics Physics University of Utah Related Undergraduate activities 26 Study of random networks Investigate some of the many dierent kinds of networks Individual 2002-2003 AY E. Cherkaev Individual Summer 2003 E. Cherkaev VIGRE REU Project subject Individual Summer 2003 Bresslo Group Program Summer 2003 Bertram Stewart, Josh Individual 2001-2002 AY Zhu Taylor, Matthew Group Program Summer 2002 Khoshnevisan Thomas, Mark Group Program Summer 2005 Ethier Smalley, Jenise Shaha, Jacob Mathematics of Games of Chance Black-Choles model in pricing both stock & bond options Elliptic curves Computational modeling of the visual cortex Individual Social networks 2003-2004 AY E. Cherkaev Schweitzer, John Group Program Summer 2002 Khoshnevisan Student Sarijlou, Reza Myriad Genetics Studying biology Current status University of Utah 2003 Mathematics University of Utah 2007 Mathematics University of Utah 2003 Mathematics Physics Hillsdale College 2005 Computer Engineering University of Utah 2005 High School Teacher Mathematics Mathematics Ashland University Ashland, OH 2004 Mathematics Computer Engineering University of Utah Related activities Undergraduate 27 Young, Ben Mathematical applications of blood clot lysis Individual 2002-2003 AY Fogelson Group Program Elliptic curves Summer 2003 Bertram Individual Biostatistics Spring 2003 Horvath Modeling part of the process of blood clot lysis Summer 2002 Fogelson Lecture, NCUR, 2003 Current status 2003 Mathematics University of Utah 2007 Mathematics University of Utah 2003 Physics University of Arizona, Tuscon 2003 Graduate Program Mathematics Mathematics University of Utah University of Utah 2006 Mathematics University of Utah 2006 Mathematics UC Berkeley Related activities Undergraduate Solve Phenomenon Event Using a Computer Program Mathematics of Games See App. 1 of Chance: Le Her with s Suits & d denominations Individual Time Delays in Fall 2005 Dierential Equations Montegomery Modeling Trac Flow Group Program Knot theory: Summer 2001 colorability Carlson/Toledo Individual Fall 2005 Arcara Group Program Summer 2005 Ethier VIGRE REU Project subject Woodbury, Michael Individual Whitt, Allen Ward, Steven Lee Vannaisegaram, Sithparran Student Tran, Ban