Research, Publications, and Presentations

Highlighting the latest in research from Mathworks! 

Below are articles, published papers, and presentations authored by Mathworks faculty and students.  This includes topics on theoretical mathematics and mathematics education.

Mathematics Education 

• Christina Koehne, Katty Zied, Hiroko K. Warshauer, and Cody Patterson: A poster session at the AERA (American Educational Research Association) in Toronto.  "Professional Development Integrating Practicing and Prospective Teachers: Shared Resources from a Community of Practice. View photo here:  AERA: Poster session, Toronto.

• Ellen Robinson, Xiaowen Cui, Nama Namakshi, Hiroko Warshauer, Sonalee Bhattacharyya, and Christina Koehne: "Abacus Interactive", Mathematics Teaching in the Middle School, Vol. 23, No. 5, March 2018
• Hiroko Warshauer: "Strategies To Support Productive Struggle", Mathematics Teaching in the Middle School, Vol. 20, No. 7, March 2015
• Nama Namakshi, Sonalee Bhattacharyya, Christina Starkey, Jeanne-Marie Linker: "Mystical Magic Squares", Mathematics Teaching in the Middle School, Vol. 20, No. 6, February 2015
• Hiroko Warshauer: "Productive Struggle In Middle School Mathematics Classrooms", Journal of Mathematics Teacher Education, August 2014
• Max Warshauer: “A Modest Research Proposal”, Notices of the American Math Society, January 2013
• Max Warshauer: Handouts from workshop at NCTM Regional Conference in Chicago, November 2012:
  • "A Collection of Problems"
  • Powerpoint presentation slides
• Max Warshauer, Terry McCabe, Alejandra Sorto, Sharon Strickland, Hiroko Warshauer: "Equity" from The Peak In The Middle, 2010
• Alejandra Sorto, Terry McCabe, Max Warshauer, Hiroko Warshauer: "Understanding the Value of a Question", Journal of Mathematical Sciences and Mathematics Education, 2009.
• Eugene Curtin, Max Warshauer: "The Locker Puzzle" from The Mathematical Intelligencer, 2006
• Max Warshauer: "Geometric Explorations with the Geometer's Sketchpad" from Mathematics & Informatics Quarterly, 2003
• Willie Yong, Max Warshauer: "Arithmetic and Geometric Mean" from Menemui Matematik (Discovering Mathematics), 2002
• Max Warshauer, Terry McCabe: "Why Number Theory is an Ideal Subject for an Honors Course", The National Honors Report, Spring 2001
• Don Hazlewood, Sandy Stouffer, Max Warshauer: "Suzuki Meets Polya" from Arithmetic Teacher, 1989

Math Research

1. Lily Xu, Soma Mitra-Behura, Brandon Alston, and Shuying Sun: "Identifying DNA Methylation Variation Patterns To Obtain Potential Breast Cancer Biomarker Genes," International Journal Of Biomedical Data Mining, 2015.
2. Vinciane Chen, Angeline Rao, Lucas Rusnak, Alex Yang: "A characterization of oriented hypergraphic balance via signed weak walks," Linear Algebra and its Applications, Volume 285, 15 November 2015.
3. Edward Early, Patrick Kim, and Michael Proulx: "Goldbach's Pigeonhole", The College Mathematics Journal, Vol. 46, No. 2, March 2015
4. Angeline Rao, Ying Liu, Yezhou Feng, Jian Shen: "Bounds on the Number of Huffman and Binary-Ternary Trees", presented at the American Math Society Fall Eastern Sectional Meeting, October 2013
5. Daniel Wang, George Qi: "Attainability of the Chromatic Numbers of Functigraphs", presented at the International Symposium on Pervasive Systems, Algorithms, and Networks (ISPAN), December 2012
6. Joseph Lee, Elysia Sheu, Xingde Jia: "Extremal Cayley Graphs of Finite Cyclic Groups", Journal of Interconnection Networks, March/June 2008.
7. Hannah Chung, Daniela Ferrero, Alan Taylor, Jeremy Warshauer: "Diameter of Path Graphs", Journal of Discrete Mathematical Science and Cryptography, 2004
8. Janet Chen, Susan Morey, Anne Sung: "The Stable Set of Associated Primes of the Ideal of a Graph," Rocky Mountain Journal of Mathematics, 2002
9. Max Warshauer: "Conway's Parallel Sorting Algorithm" from the Journal of Algorithms, 1986

Here is an incomplete list of papers and projects produced from various HSMC Research Projects:

1. Micah Dorton, Ronok Ghosal, Thomas Keller*, Ryan Tang, Justin Yu, 5-cycles in the Complements of Minimal Prime Graphs, In preparation (Summer 2024)
2. Olivia Bley, Jason Cheng, Ethan Poon, Xiaoxi Shen*, Adriana Vigo, Angela Wang, Kalia Wang, Elena Xiao, Joseph Zhang, Comparing Performances of Neural Networks on Genetic Data, In preparation (Summer 2024)
3. Steven Hoberman* (based off of work with Grace Huh, Albert Kim, Andy Zhou), Is the t-test wrong? Inference for the mean using a novel statistical distribution, Presentation at Joint Statistical Meeting, 2024 (Summer 2024)
4. Shreev Goyal, Joshua Kou, Christine Lee*, Helen Yang, Aaron Zhou, A new family of Tuareg genus 2 knots, In preparation (Summer 2024)
5. Olivia Bley, Yury Guardado Iglesias, Elizabeth Lei, Xiaoxi Shen*, Andy Zhou, Estimating Genetic Heritability, In preparation (Summer 2023)
6. Anant Asthana, Anton Dochtermann*, Shreev Goyal, Rainbow Stars and Rota’s Basis Conjecture for Graphic Matroids (Summer 2023)**
7. Shreev Goyal, Amy He, Dan Tamir*, A Three-Discipline Analysis and Approach to Data Encoding Algorithms. (Summer 2023)
8. Tina Li, Suho Oh*, Edward Richmond, Grace Yan, Kimberley You, Demazure product of permutations and hopping. Electronic Journal of Combinatorics, 31 (2024), no 1.(Summer 2022)
9. Wade Hindes*, Reiyah Jacobs, Peter Ye, Irreducible polynomials in quadratic semigroups, Journal of Number Theory 248 (2023), p. 208-241. (Summer 2022)
10. Jacob David, Pierce Lai, Suho Oh*, Christopher Wu, Triconed Graphs, weighted forests, and h-vectors of matroid complexes, submitted. (Summer 2021)**
11. Connor Ahlbach*, Jacob David, Suho Oh*, Christopher Wu, Tableau Stabilization and Lattice Paths, Journal of Combinatorics, 13 (2022), no 1, 105-134. (Summer 2020)
12. Jael Dammann, Pierce Lai, Christine Tian, Shuying Sun*, Thorough statistical analyses of breast cancer co-methylation patterns, BMC Genomic Data 23 (2022). (Summer 2020)
13. Sarah Wei, Daphne Han, Flora Cheng, Alice Zhong, Shuying Sun*, Comparative analysis of haplotype analysis, Submitted (Summer 2020)
14. Anton Dochtermann*, Eli Meyers, Rahgav Samavedam, Alex Yi, Integral Flow and Cycle Chip-Firing on Graphs, Annals of Combinatorics, vol 25, 2021, 595-616. (Summer 2019)
15. Li, C., Lee, J., Ding, J., Sun, S.*, Integrative analysis of gene expression and methylation data for breast cancer cell lines, BioData Mining, vol 11, no 13, 2018. (Summer 2017)
16. Eugene Curtin*, Junu Lee, Andrew Lu, Sophia Sun, A modified Grassmann algebra approach to theorems on permanents and determinants, Linear Algebra and its Applications, vol 581, 2019, 20-35 (Summer 2017)
17. Sun, L., Namboodiri, S., Chen, E., Sun, S.*, Preliminary Analysis of Within-sample Co-methylation Patterns in Normal and Cancerous Breast Samples, Cancer Informatics, vol 18, 2019, 1–14. (Summer 2016)
18. Emily Chen, Surya Namboodiri, Lillian Sun, Shuying Sun*, DNA co-methylation patterns in cancerous and normal tissues, Cancer Informatics, vol 18, 1–9, 2019. (Summer 2016)
19. Tian, S., Bertelsmann, K., Yu, L., Sun, S.*, DNA Methylation Heterogeneity Patterns in Breast Cancer Cell Lines, Cancer Informatics, vol 15, suppl 4, 1–9, 2016. (Summer 2015)
20. Xu, L., Mitra-Behura, S., Alston, B., Zong, Z.*, & Sun, S.* (2015). Identifying DNA methylation variation patterns to obtain potential breast cancer biomarker genesInternational Journal of Biomedical Data Mining, vol 4, no 1, 2015 (Summer 2014, Regional Finalists in 2014 Siemens Competition)
21. K. Chen, S. Karson, D. Liu, and J. Shen*, On the Chudnovsky-Seymour-Sullivan conjecture on cycles in triangle-free digraphs, Electronic J. Linear Algebra. 28(1), Article 10, 117-123 (2015). (Summer 2009, National Champion in Siemens Competition in Science, Technology, Engineering, and Mathematics)
22. Sun, L., Sun, S.*, Within-sample co-methylation patterns in normal tissues, Biodata Mining, vol 12, no 9, 2019. 
23. Suho Oh*, David Xiang, The facets of the matroid polytope and the independent set polytope of a positroid, Journal of Combinatorics, vol 13, no 1, 2022. 
24. Amy He, Suho Oh*, Pierce Lai, The h-vector of a positroid is a pure O-sequence, European Journal of Combinatorics. 110 (2023), 103684 
25. Xu, D., Tamir, D.*, Pseudo-random Number Generators Based on the Collatz Conjecture International Journal of Information Technology (2019), vol. 11, pp. 453-459. 
26. D. Yu, E. Yang, A. Shen, D. Tamir*, and N. Rishe Fibereum: a novel distributed ledger technology system in M. Qiu, Z. Lu, and C. Zhang, (eds) Smart computing and communication, SmartCom 2022. Lecture Notes in Computer Science, vol. 13828. Springer Nature, 2023, pp 669-674. 
27. Chen, I., Huang, L., Qiao, J., Tamir*, D., & Rishe, N. (2022). Combining Perception Considerations with Artificial Intelligence in Maritime Threat Detection Systems, IEEE System, Man, and Cybernetics Society, 17th Annual System of Systems Engineering Conference (SoSE) 2022, pp. 417-422. 
28. D. Lee, I. Quan, C. Wu, J. Wu, D. Tamir* and N. Rishe, Optimizing B-Spline Surface Reconstruction for Sharp Feature Preservation, 2020 10th Annual Computing and Communication Workshop and Conference (CCWC), Las Vegas, NV, USA, 2020, pp. 0359-0364. This paper won a first prize award 

* indicates the project mentor.

If you are a former student or mentor, please send me (wb1011@txstate.edu) any paper or write-up you have of your project, and I’ll post it here!