# Recent M.A./M.S. Grads

This section gives information about all students who completed Master's degrees in Mathematics since 1992.

## May 2018

### M.S.

- Hannah Biegel. Title unknown. Advisor: Joceline Lega.

## December 2016

### M.S.

- Arias Hathaway Turner.
*Understanding Reform: A Study of the Standards Movement in Mathematics Education.*Advisor: Marta Civil.

## August 2016

### M.S.

- Amy Been.
*Teaching Views of Mathematical Modeling*. Advisor: Marta Civil.

## May 2015

### M.S.

- Rachel Baumann. Title unknown. Advisor: Klaus Lux.
- Angelica Gonzalez. Title unknown. Advisor: Nick Ercolani.

## May 2014

### M.S.

- Jonathan Edwards.
*Commentary on Explicit Calculations of the Zeta Function-Regularized Determinant of the Laplacian on the n-sphere*. Advisor: Douglas Pickrell. - Michael Phizicky. Title unknown. Advisor: Sunder Sethuraman.

## August 2013

### M.S.

- Matthew Bush. Title unknown. Advisor: Marek Rychlik.
- Lap Kei Alex Tao.
*Class Number Problem and Elliptic Curves*. Advisor: Dinesh Thakur

## May 2012

### M.S.

- Cindy Phillips.
*Equivariant meomorphic functions on Riemann surfaces*. Advisor: Douglas Pickrell. - Cong Xie.
*An introduction to Dirichlet process and its application in genetics*. Advisor: Ibrahim Fatkullin.

## May 2011

### M.S.

- Geillan Aly.
*Caps and Pants: Topological Quantum Field Theories in Dimension 2*. Advisor: Douglas Pickrell. - Somnath Chakraborty.
*Lattice Point Problem in Euclidean Spaces.*Advisor: Rabindra Bhattacharya. - Veronica Marino Salazar.
*Geodesics and shortest paths on piecewise linear surfaces.*Advisor: David Glickenstein. - Jacob Tracy.
*What makes for successful online and hybrid mathematics classes.*Advisor: Robert Indik.

## December 2010

### M.A.

- Sadie Bell.
*Analysis of Tutor/Student Interactions: The Aprenda Experience*. Advisor: Rebecca McGraw.

## August 2010

### M.S.

- Victoria Frost.
*An Exploration of Culturally Relevant Pedagogies in Two Elementary Mathematics Classrooms.*Advisor: Marta Civil

## December 2009

### M.S.

- Derek Seiple.
*Investigation of self-dual codes invariant under simple group**s*. Advisor: Klaus Lux. - Matthew Thomas.
*Approximation of the Dispersionless Toda Lattice by Toeplitz Operators*. Advisor: Hermann Flaschka.

## May 2009

### M.S.

- Chantel Blackburn. An application of the computer algebra system gap: The construction of the simple modules of a finite group. Advisor: Klaus Lux.
- Gabriela Dumitrascu. Mathematical and didactical Analysis of the Concept of Function in American, French, and Romanian Algebra Textbooks. Advisor: William G. McCallum.
- Yuliya Gorlina. Alexandrov's theorem. Advisor: David Glickenstein.

## December 2008

### M.S.

- Matthew Johnson. Hecke Eigenforms as Products of Eigenforms. Advisor: Kirti Joshi.

## August 2008

### M.A.

- Makyla Hays. An Investigation of College Algebra Students' Understanding of Fractions. Advisor: Rebecca McGraw.

## May 2008

### M.S.

- Jennifer Leahy. Mathematical identity of students enrolled in an accelerated mathematics and connected mathematics class. Advisor: Marta Civil.
- Grant Peterson. The Molecular Clock on Short Time Scales. Advisor: Joseph Watkins.

## August 2007

### M.S.

- Wieke de Boer. The role of definitions in mathematics.. Advisor: Rebecca McGraw.

## May 2007

### M.S.

- Bridget Kennedy. Modeling of light pulses in optical nanocomposite materials.. Advisor: Ildar Gabitov.

## December 2006

### M.S.

- Donna Harris. The Role of General Education Mathematics Courses in Fulfilling the Goals of the University.. Advisor: Rebecca McGraw.

## August 2006

### M.S.

- Sarah Hoffman. Utilizing Random Matrix Theory to Track the Course of the Economy. Advisor: Kenneth McLaughlin.

## May 2006

### M.S.

- Joshua Chesler. The Four-Color Theorem. Advisor: Dinesh Thakur.
- Grethe Hystad. Sum of Lowest Eigenvalues of the Discrete Laplacian. Advisor: Daniel Ueltschi.
- Melvin Koppens. Topics in the Theory of Quadratic Forms. Advisor: Kirti Joshi.
- Belin Tsinnajinnie. Generalizations of Mutiresolution Analysis and Wavelet Theory to Arbitrary Fields. Advisor: Klaus Lux.

## December 2005

### M.S.

- Shripad Sinari. Introduction to Derived Equivalences of Group Algebras. Advisor: Klaus Lux.

## August 2005

### M.S.

- Justin Miller. q-definability and Algebraicity of Laurent series over F_q(t). Advisor: Dinesh Thakur.

## December 2004

### M.S.

- Alejandra Alvarado. A Brief Introduction to Some Algorithms in Elliptic Curve Cryptography. Advisor: Kirti Joshi.
- Ali Amjad. On the Spectrum of Some Weighted Graphs. Advisor: Hermann Flaschka.
- Cristi Guevara. Scattering and Bound States for the Two Dimensional Dirac Equation. Advisor: John Palmer.
- Selin Kalaycioglu. Construction of Expanders and Ramanujan Graphs and their Applications. Advisor: Dinesh Thakur.

### M.A.

- Michael Heerey. Developing Logical Skills Using Mathematical Games: A Study of High School Students. Advisor: Fred Stevenson.

## August 2004

### M.S.

- Yun Kang. The Expander Coefficient of Random K-Regular Graphs and Ramanujan Graphs. Advisor: Juan Restrepo.
- Alan Von Hermann. Isomorphism of Subgroups in Finite Groups. Advisor: Larry Grove.

## May 2004

### M.S.

- Mohamed Maagoul. The Importance of Mathematics History in the Educational Process and Its Necessary Incorporation into the Modern Classroom. Advisor: Daniel Madden.
- Sacha Swenson. Singularities and Knots. Advisor: Minhyong Kim.

## May 2003

### M.S.

- Panagiota Konstantinou. Conjugacy and Commutators in PSU(1,1). Advisor: Doug Pickrell.

## December 2002

### M.S.

- Jessica Knapp. On the Link and Writhe of Closed DNA. Advisor: Alain Goriely.
- Julio Melendez-Morales. A Study on Validation of Mathematical Proof with Parents as Adult Learners. Advisor: Marta Civil.

### M.A.

- Eric Roberts. Sets of integers with 1 terms in arithmetic progression. Advisor: Dennis Eichhorn.
- Debra Wood. The Impact of Reform Calculus at the University of Arizona. Advisor: Deborah Hughes Hallett.

## August 2002

### M.S.

- Omar Zuniga. Applications of Gröbner Bases to Coding Theory. Advisor: Klaus Lux.

### M.A.

- Todd Cadwallader. Constructing Symmetric Maps of Maximal Coloring on Orientable Surfaces. Advisor: Leonid Friedlander.

## May 2002

### M.S.

- Marco Herrera-Valdez. Advisor: Joceline Lega.
- Gregory Houser. Combinatorial Proofs of Classical Congruences for the Number of Partitions of N in H Colors. Advisor: Dennis Eichhorn.
- Ben Van Der Linden. Global Curvature: A Criterion for Compactness and Ideality. Advisor: Alain Goriely.

## December 2001

### M.S.

- Boonyarit Intiyot. Testing Rijndael-Based Pseudo-Random Number Generators. Advisor: Doug Ulmer.
- Monica Haynes. PDE and Probability Densities. Advisor: William Faris.

## May 2001

### M.S.

- Steve Phillips. Representations of Quivers. Advisor: Warren May.

### M.A.

- Rebecca Hailey. Projects in the Classroom: Helpful or Extra Work. Advisor: Marta Civil.

## December 2000

### M.S.

- Maria Agrotis. Complete Integrability of the Electromagnetic Bubble (EMB) Equations and their Generalizations to the Case of Permanent. Advisor: Nicholas Ercolani.
- Paul Baloun. 3-Ramified, Galois Extensions of Q with Degree Less Than or Equal to 48. Advisor: Doug Ulmer.
- Guadalupe Lozano. Symplectic Structure of Polygons in Euclidean Space. Advisor: Nicholas Ercolani.
- Jennifer Smith. The Understanding of Algebraic Concepts in Undergraduate Mathematics. Advisor: David Gay.
- Yuhong Wang. The Application of Wavelets in Statistics. Advisor: Klaus Lux.

## August 2000

### M.S.

- John Duchnowski. Log-linear Models and Splines for Analysis of Nominal and Ordinal Categorical Data. Advisor: W.M. Greenlee.
- Rebecca Judith Reed. Quaternary Codes. Advisor: Klaus Lux.

### M.A.

- Laura Kondek. The Effects of Using Mathematical Games on Students' Logical Thinking. Advisor: Marta Civil.

## May 2000

### M.S.

- John Friese. The Peter-Weyl Theorem and Frobenius Reciprocity with Examples. Advisor: Doug Pickrell.
- Rebecca Lamkin. The Effective Use of Graphing Calculators as Problem Solving Devices. Advisor: Marta Civil.

## December 1999

### M.S.

- Linda Langner. Advisor: W.M. Greenlee.
- Chunnan Wang.

## August 1999

### M.S.

- Jeffrey Edmunds. Advisor: Jim Cushing.
- Aaron Ekstrom. Advisor: Dinesh Thakur.
- Marilou Mendel. A Statistical Analysis of Sudden Cardiac Arrest. Advisor: Larry Wright.

## May 1999

### M.S.

- Micaela Avila de Brau. Risk Sensitive Optimality Criteria in Controlled Markov Processes. Advisors: W.M. Greenlee and Emmanuel Fernandez.
- Christopher J Pelton. Group Theoretic Search and an Application to the Data Encryption Standard. Advisor: Robert Beals.
- Michael Yarbrough. Functions of Bounded Variation. Advisor: Carl DeVito.

### M.A.

- John Larson. Time Series Prediction with Reconstruction Based Natural Networks. Advisor: Marek Rychlik.
- Martha Maiers. Probability Models in Human Genetics: A Curriculum for High School Students. Advisor: Joseph Watkins.

## December 1998

### M.A.

- Scott Sakamoto. A Study of the Use of the Cranmer Abacus in Teaching Mathematics to Students with Visual Impairments. Advisor: Steve Willoughby.

## May 1998

### M.S.

- Jason K Belnap. Ideal Class Groups. Advisors: Marta Civil and Dinesh Thakur.
- Jia-Ling Dai. Stochastic Integrals with Respect to Brownian Motion. Advisor: Doug Pickrell.
- Mai Dang. Schubert Polynomials in the Cohomology Ring of G/B. Advisor: Sam Evens.
- Kevin S Griffin. Advisor: W.M. Greenlee.
- Margie Lyscas. Automata Grammars and Phase-Type Distributions. Advisor: W.M. Greenlee.
- Mark C Moelich. Introduction to Gröbner Bases with Applications. Advisor: Larry Grove.
- Jing-Yue Liu. Random Matrices and the Distributions of their Eigenvalues. Advisor: Doug Pickrell.

### M.A.

- Kirk D Mehtlan. No Piston Stirling Engines. Advisor: W.M. Greenlee.
- Scott D Lietz. Introducing Higher Mathematics in High School. Advisor: David Gay.

## December 1997

### M.S.

- Duncan M Russell. The Exceptional Nature of Nonassociative Algebra. Advisor: W.M. Greenlee.

### M.A.

- Ryan S Ruddy. Advisor: W.M. Greenlee.

## August 1997

### M.S.

- Scott Beaver. A Brief Review of Some Knot Invariants. Advisor: Doug Pickrell.
- Xianbao Xu. Advisor: W.M. Greenlee.

## May 1997

### M.S.

- Armando Bezies-Kindling. Advisor: John Palmer.
- Guillermo Davila-Rascon. Advisor: W.M. Greenlee.
- William Flack. Advisor: W.M. Greenlee.

### M.A.

- Pasaad Kongtaln. Advisor: W.M. Greenlee.

## OTHER 1997?

M.S.: Titus Dorstenstein, Catherine Yslas

## December 1996

### M.S.

- Fahd Al-Shammari. Advisor: W.M. Greenlee.
- Ewa Romanowska. Advisor: W.M. Greenlee.
- Santiago Torres. Advisor: W.M. Greenlee.
- Hsi-Tsung Yang. Advisor: Larry Grove.

## August 1996

### M.S.

- Stephan Schaub. Algebraic Structures and Symmetry in Western Music. Advisor: Larry Grove.
- Agnieszka Walsh. Advisor: W.M. Greenlee.

## May 1996

### M.S.

- Mary Sibayan. Advisor: W.M. Greenlee.

## December 1995

### M.S.

- David Hrencecin. Representations of the Virasoro algebra. Advisor: Doug Pickrell.

## May 1995

### M.S.

- Henry Jensen. An Overview of Topological Vector Spaces. Advisor: Carl DeVito.
- John Keisling. Advisor: John Palmer.
- Warren Staley. Advisor: W.M. Greenlee.
- Glen Wiggy. Advisor: John Palmer.

## Other 1995?

M.S.: Melanie Ayers, Geoffrey Cunningham, Wei-Ye Li, Eileen Murray

## December 1994

### M.S.

- Aamer Rizvi. Advisor: John Palmer.

## August 1994

### M.S.

- Edward Alexander. Advisor: John Palmer.
- Sally DuVall. Advisor: John Palmer.
- Hortensia Soto-Johnson. Advisor: W.M. Greenlee.
- Steven Wexler. Advisor: W.M. Greenlee.

## May 1994

### M.S.

- Yih-Hwa Cheng. Advisor: W.M. Greenlee.
- Cheryl Delorme. Advisor: W.M. Greenlee.
- James Dotzler. Advisor: John Palmer.
- Matthew Kruse. Advisor: W.M. Greenlee.
- Matthew Naughton. Advisor: W.M. Greenlee.
- Hsin-Min Sun. Advisor: W.M. Greenlee.

### M.A.

- Patricia Eliason. Advisor: W.M. Greenlee.

## December 1993

### M.S.

- Steve Speer. Advisor: W.M. Greenlee.

### M.A.

- Tailiang Xie. Advisor: W.M. Greenlee.

## May 1993

### M.S.

- Jiu-Rong Cheng. Advisor: W.M. Greenlee.
- Yu-Wen Cheng. Advisor: John Palmer.
- Kristina Marie Garn. Advisor: W.M. Greenlee.

### M.A.

- Maria Luisa Paz. Advisor: W.M. Greenlee.

## Other 1993?

M.A.: Hiroshi Hamada,

M.S.: Jeffrey Saunders

## December 1992

### M.S.

- Eric Anson. Advisor: W.M. Greenlee.
- Martha Case. Advisor: W.M. Greenlee.
- Adam Stinchcombe. Advisor: W.M. Greenlee.
- Joel Vaag. Advisor: John Palmer.

## August 1992

### M.S.

- James Abolt. Advisor: W.M. Greenlee.
- Steven Bernard. Advisor: W.M. Greenlee.
- Keith Hill. Advisor: W.M. Greenlee.
- Zheng Liu. Advisor: W.M. Greenlee.

## May 1992

### M.S.

- Steven Blount. Advisor: John Palmer.
- Lie Scott Lacey. Advisor: John Palmer.
- Michael Miller. Advisor: W.M. Greenlee.
- Mohamed Ould-Lemrabott. Advisor: W.M. Greenlee.
- Anne Patton. [thesis title unknown]. Advisor: W.M. Greenlee.
- Stephanie Wiggins. Advisor: W.M. Greenlee.

### M.A.

- Timothy Fahlberg. Advisor: W.M. Greenlee.
- Shelley Hartzel. Advisor: W.M. Greenlee.
- Kimberly Lewis. Advisor: John Palmer.

## December 1991

### M.S.

- Jorge Guarin. Advisor: W.M. Greenlee.

### M.A.

- Kathryn Hemberry.