San Antonio, Texas

Research Experiences for Undergraduates   (REU)
      Sponsored by the National Science Foundation and
      Trinity University Mathematics

REU Final Research Reports

An important part of the REU experience is to produce a written report describing the research accomplished over the summer. Some of these reports contain results which later appeared in professional journals.

  • (PDF) C. Bibby, C. Leverson and A. Malyshev, Determining Delta Sets of Numerical Monoids, Algebra Project, 2008 Trinity REU.
  • (PDF) P. Cesarz, Non-unique Factorization Properties of Algebraic Semirings, Algebra Project, 2008 Trinity REU.
  • (PDF) Y. She and R. Rodriguez, On Factorization in B(Z,S), Algebra Projecct, 2008 Trinity REU.
  • (PDF) J. Shi and T. Przytycki, Euler-Dedekind Average and Weighted Difference, Number Theory Project, 2008 Trinity REU.
  • (PDF) R. Krisnamoorty and A. Malyshev, Sharp Upper Bounds for the Class Number of CM Number Fields, Number Theory Project, 2008 Trinity REU.
  • (PDF) D. Glasscock, J. Emery and M. Xu, Wilf Equivalence in the Generalized Factor Order, Combinatorics Project, 2008 Trinity REU.
  • (PDF) T. Lemberg, A. Niles and C. Zlogar, Shifts of Generators and Delta Sets of Numerical Monoids, Algebra Project, 2007 Trinity REU.
  • (PDF) G. Daigle and R. Hoyer, Factoring with Non-minimal Generating Sets in Commutative Cancellative Atomic Monoids, Algebra Project, 2007 Trinity REU.
  • (PDF) G. Daigle, R. Hoyer and D. Torkornoo, The Omega-measure of Primality in Numerical monoids, Algebra Project, 2007 Trinity REU.
  • (PDF) A. Armstrong, C. Csar and L. Haight, Q-file Polynomials: Considering Garsia and Remmel’s q-Rook Polynomials in the Column-Strict Case, Combinatorics Project, 2007 Trinity REU.
  • (PDF) J. Jou, R. Lemke Oliver and E. Rossolimo, On the counting function for the generalized Niven numbers, Number Theory Project, 2007 Trinity REU.
  • (PDF) J. Amos, C. Chen, O. Lepigina, T. Nezhmetdinov, D. Ong, M. Richer, and L. Zirbel, The Mulit-Dimensional Frobenius Problem 2, Trinity University, Mathematics Technical Report #S53, San Antonio, TX 2006.
  • (PDF) N. Hine and J. Paixao, Length Sets and V Sets of Numerical Monoids, Trinity University, Mathematics Technical Report #S52, San Antonio, TX 2006.
  • (PDF) R. Kravitz, V. Noquez, and M. Sondjaja, Strongly Taut Restricted Block Monoids over Z, Trinity University, Mathematics Technical Report #S51, San Antonio, TX 2006.
  • (PDF) J. Bauman, On Factorization Properties of Semi-Regular Congruence Mondoids, Trinity University, Mathematics Technical Report #S50, San Antonio, TX 2006.
  • (PDF) G. Schaeffer, The Delta-set of a Singular ACM, Trinity University, Mathematics Technical Report #S49, San Antonio, TX 2006.
  • (PDF) F. Elliott-Farren and M. Gallant, A Look at f-Invariant delta-Scrambled Sets and Their Placement in Sarkovskii's Stratification of the Real Numbers, Trinity University, Mathematics Technical Report #S43, San Antonio, TX 2005.
  • (PDF) J. Amos, E. Trevino, I. Pascu, and Y. Zhang, On the Vector Frobenius Problem, Trinity University, Mathematics Technical Report #S42, San Antonio, TX 2005.
  • (PDF) P. Baginski, C. Crutchfield, K. Kennedy, and M. Wright, Factorization and Elasticity with Applications to Rings of the Form K[x;S] and K[[x;S]], Trinity University, Mathematics Technical Report #S41, San Antonio, TX 2005.
  • (PDF) P. Blain, A. Holder, J. Silva, and C. Vinzant, Mathematical Approaches to the Pure Parsimony Problem, Trinity University, Mathematics Technical Report #S40, San Antonio, TX 2005.
  • (PDF) K. Cervello, D. Terry, and L. Zhu, Extraction Degrees of Zero Sequences of Finite Abelian Groups, Trinity University, Mathematics Technical Report #S36, San Antonio, TX 2004.
  • (PDF) C. Bowles, N. Kaplan, and D. Reiser, Delta Sets of Numerical Monoids, Trinity University, Mathematics Technical Report #S35, San Antonio, TX 2004.
  • (PDF) G. Harrision-Shermoen and O. Zeid, On the Necessary and Sufficient Conditions for the Existence of f-Invariant Delta-Scrambled Sets, Trinity University, Mathematics Technical Report #S34, San Antonio, TX 2004. (see the attached note as well).
  • (PDF) L. Ang, A Characterization of the Henon Map from R2 to R2 for positive a and 4a between -3(1-a)2 and (1-a)2, Trinity University, Mathematics Technical Report #S33, San Antonio, TX 2004.
  • (PDF) J. Louie and L. Sherbakov, The Minimum Letter Flip Problem for Haplotyping a Single Individual, Trinity University, Mathematics Technical Report #S32, San Antonio, TX 2004.
  • (PDF) M. Banister, J. Chaika, and W. Meyerson, On the Arithmetic of Congruence Monoids, Trinity University, Mathematics Technical Report #S27, San Antonio, TX 2003.
  • (PDF) S. Hoffman and J. Taylor, Sufficient Conditions to Guarantee a Globally Attractive 2-Cycle of the Non-autonomous Quadratic Family, Trinity University, Mathematics Technical Report #S26, San Antonio, TX 2003.
  • (PDF) R. Herring, C. Nightingale, and T. Stohs, Asymptotic Sign-Solvability and Multiple Objective Linear Programming, Trinity University, Mathematics Technical Report #S25, San Antonio, TX 2003.
  • (PDF) B. Finklea, T. Moore, and Z. Turner, Combinatorial Approaches to Minimal Zero Sequences of Finite Abelian Groups and a Surprising Connection, Trinity University, Mathematics Technical Report #S24, San Antonio, TX 2003.
  • (PDF) C. Abbott and M. Swadley, Period Doubling Routes to Chaos in Family of Unimodal Maps, Trinity University, Mathematics Technical Report #S19, San Antonio, TX 2002.
  • (PDF) G. Salazar, D. Dunn, and S. Graham, An Examination of Quaternary Higher-Dimensional Affine Variety Codes with an Improved Minimum Distance Bound, Trinity University, Mathematics Technical Report #S18, San Antonio, TX 2002.
  • (PDF) L. Cayton and J. Holzer, Asymptotic Multiple Objective Linear Programming, Trinity University, Mathematics Technical Report #S17, San Antonio, TX 2002.
  • (PDF) M. Holden and T. Moore, Asymptotic Elasticity and the Full Elasticity Property in Atomic Monoids, Trinity University, Mathematics Technical Report #S16, San Antonio, TX 2002.
  • (PDF) J. Cuomo, N. Nwasokwa, and V. Ponomarenko Three-Dimensional Jump Systems and Manhattan Polytopes, Trinity University, Mathematics Technical Report #S15, San Antonio, TX 2002.
  • (PDF) L. Cherveny and M. Najarian, Reduction Junction,What's Your Function, Trinity University, Mathematics Technical Report #S14, San Antonio, TX 2002.
  • (PDF) V. Lyubashevsky and C. Newell, Characterization of Jump Systems and Other Results, Trinity University, Mathematics Technical Report #S9, San Antonio, TX, 2001
  • (PDF) J. Genauer and P. Sullivan, Dynamical Properties of Continuous Maps of the Interval, Trinity University, Mathematics Technical Report #S8, San Antonio, TX, 2001
  • (PDF) P. Baginski, K. McDonald, and L. Pudwll, The Cross Numbers of Minimal Zero Sequences in Selected Cyclic Groups , Trinity University, Mathematics Technical Report #S7, San Antonio, TX, 2001
  • (PDF) B. Ellison and J. Wilson, p-adic Upper Half-Planes and Representation Numbers of Quadratic Forms, Trinity University, Mathematics Technical Report #S6, San Antonio, TX, 2001
  • (PDF) A. Brown, A. Gedlaman, and S. Martinez, Analyzing the General Linear Piecewise Lexicographic Programming Problem and an Extension of the Fundamental Theorem of Linear Programming , Trinity University, Mathematics Technical Report #S5, San Antonio, TX, 2001

Questions and comments concerning this page are to be addressed to schapman@trinity.edu .