Michael Schroeder
Assistant Professor of Mathematics
Michael Schroeder, PhD, is a prolific researcher and award-winning instructor who facilitates an active learning environment in his classrooms and, whenever possible, likes to incorporate hands-on, real-world activities in his teaching.
- PhD, Mathematics, University of Wisconsin-Madison (Major: Combinatorics, Minor: Applied Mathematics)
- MS, Mathematics, University of Florida
- BS, Mathematics, University of Florida
Biography
Professor Michael Schroeder is a Florida native, having grown up in the Tampa Bay area, graduating from Largo High School, and attending the University of Florida for his bachelor’s and master’s degrees in Mathematics. He received his PhD in Mathematics from the University of Wisconsin - Madison, where he studied combinatorics and graph theory. Since then, he has been prolific in his study of graph decompositions, Latin squares, and other combinatorial phenomena. Professor Schroeder is a proponent of active learning in the classroom and, for several years, has administered flipped classrooms in his courses, where students complete group work and engage in collaborative exercises in class rather than receiving traditional lectures.
Before arriving at Stetson, he was a professor at Marshall University in West Virginia. During his time there, he sponsored several student research projects, many of which led to publications in prestigious journals. He also hosted an REU, organized multiple mathematics conferences, and frequently attended conferences, often traveling with students, both locally and internationally. In recent years he participated in the MAA- and NSF-sponsored PIC Math program, which seeks to increase the involvement of mathematics students and faculty in industrial projects originating from the community. In this capacity, Dr. Schroeder has successful collaborations with local municipalities, police departments, ambulance services, and hospitals; each collaboration involved students completing impactful, data-driven research projects.
More About Michael Schroeder
Areas of Expertise
- Calculus Linear
- Algebra Matrix
- Theory Modern
- Algebra Combinatorics
- Graph Theory
Course Sampling
- Calculus I, II, and III
- Discrete Mathematics
- Combinatorics
- Graph, Design and Number Theory
- Modern and Linear Algebra
- Junior Seminar
- Combinatorics
- Graph theory
- Latin squares
- Graph decomposition
Student co-authors are in bold.
- Primitive C4-decompositions of Kn-I, Combin. Des., Volume 31, Issue 8 (2023), pages 368-372.
- On a completion problem for Latin arrays, with Kevin Akers, Stacie Baumann, Sarah Gustafson, Jaromy Kuhl, and Olivia Mosrie. Australas. J. Combin., Volume 83 (2022), pages 20-39.
- Primitive cycle decompositions of Kn and Kn-I, with John Asplund, Chandra Dinavahi, and Kira Owsley. J. Combin. Des., Volume 30, Issue 3 (2022), pages 152-192.
- Completing partial transversals of Cayley tables of Abelian groups, with Jaromy Kuhl and Donald McGinn. Electron. J. Combin., Volume 28, Issue 3 (2021), #P3.60, 15 pages.
- On monochromatic pairs with nondecreasing diameters, with Adam O'Neal. Electron. J. Combin. Volume 26, Issue 2 (2019), #P2.15, 12 pages.
- On the existence of partitioned incomplete Latin squares with five parts, with Jaromy Kuhl and Donald McGinn. Australas. J. Combin., Volume 74 (2019), pages 46-60.
- On erasure combinatorial batch codes, with JiYoon Jung, Carl Mummert, and Elizabeth Niese. Adv. Math. Comm., Volume 12, Issue 1 (2018), pages 49-65.
- Circulant matrices and mathematical juggling, with Richard Brualdi. Art Disc. App. Math., Volume 1, Issue 2 (2018), #P2.01, 17 pages.
- Latin squares with disjoint sub-squares of two orders, with Jaromy Kuhl. J. Combin. Des., Volume 26, Issue 5 (2018), pages 219-236.
- Alternating sign matrices and their Bruhat order, with Richard Brualdi. Discrete Math., Volume 340, Issue 8 (2017), pages 1996-2019.
- A bijection on classes enumerated by the Schröder numbers, with Rebecca Smith. DMTCS, Volume 18, Issue 2 (2016), paper 15, 15 pages.
- Completing partial Latin squares with one nonempty row, column, and symbol, with Jaromy Kuhl. Electron. J. Combin., Volume 23, Issue 2 (2016), #P2.23, 13 pages.
- Completing partial Latin squares with blocks of non-empty cells, with Jaromy Kuhl. Graphs and Comb., Volume 32, Issue 1 (2016), pages 241-256.
- φ-symmetric Hamilton cycle decompositions of graphs. Discrete Math., Volume 338, Issue 9 (2015), pages 1586-1594.
- On Hamilton cycle decompositions of r-uniform, r-partite graphs, with Jaromy Kuhl. Discrete Math., Volume 315, Issue 1 (2014), pages 1-8.
- Patterns of alternating sign matrices, with R. A. Brualdi, K. P. Kiernan, and S. A. Meyer. Linear Algebra Appl., Volume 438, Issue 10 (2013), pages 3967-3990.
- Hamilton cycle decompositions of k-uniform k-partite hyper-graphs, with Jaromy Kuhl. Australas. J. Combin., Volume 56 (2013), pages 23-37.
- Cyclic matching sequentiality of graphs, with R. A. Brualdi, K. P. Kiernan, and S. A. Meyer. Australas. J. Combin., Volume 53 (2012), pages 245-256.
- On the t-term rank of a (0,1)-matrix, with R. A. Brualdi, K. P. Kiernan, and S. A. Meyer. Linear Algebra Appl., Volume 436, Issue 6 (2012), pages 1632-1643.
- Symmetric Hamilton cycle decompositions of complete graphs minus a 1-factor, with R. A. Brualdi. J. Combin. Des., Volume 19, Issue 1 (2011), pages 1-15.
- Combinatorial batch codes and transversal matroids, with R. A. Brualdi, K. P. Kiernan, and S. A. Meyer. Adv. Math. Comm., Volume 4, Issue 3 (2010), pages 419-431.
- Erratum to "Combinatorial batch codes and transversal matroids'' Adv. Math. Commun., Volume 4, Issue 4 (2010), page 597.
- Signed domination of graphs and (0,1)-matrices, with A. Berliner, R. A. Brualdi, L. Deaett, K. P. Kiernan, and S. A. Meyer. Combinatorics and Graphs, Contemp. Math., Volume 531 (2009), pages 19-42.
- Row and column orthogonal (0,1)-matrices, with A. Berliner, R. A. Brualdi, L. Deaett, and K. P. Kiernan. Linear Algebra Appl., Volume 429, Issues 11-12 (2008), pages 2732-2745.