Meng-Che "Turbo" Ho
150 N. University Street
West Lafayette, IN 47907-2067
Office: MATH 726
E-mail: ho140 at purdue dot edu
I study Group Theory and Mathematical Logic. Specifically, within group theory, I am interested in Geometric Group Theory, Combinatorial Group Theory, Random Groups, Nilpotent Groups, Word Maps (for example, see Lubotzky's work), Growth of Groups, Free Groups; within logic, I am interested in Computability Theory, Computable Structure Theory, Scott Sentences and Index Sets (for example, see the joint work of Calvert, Harizanov, Knight, and Miller), Model Theory. I am also naturally interested in any combinations of the above.
I am on the job market this year (for jobs starting Fall/Summer 2020.)
1. The conjugacy growth of the soluble Baumslag-Solitar groups, with Laura Ciobanu and Alex Evetts, submitted.
2. Finitely Generated Groups Are Universal, with Matthew Harrison-Trainor, submitted.
3. Word Maps in Finite Simple Groups, with William Cocke, Archiv der Mathematik, to appear.
4. Characterizations of Cancellable Groups, with Matthew Harrison-Trainor, Proc. Amer. Math. Soc., 147 (2019), no. 8, 3533–3545.
5. The Probability Distribution of Word Maps on Finite Groups, with William Cocke, J. Algebra, 518 (2019), 440–452.
6. The Word Problem of Z^m Is a Multiple-Context Free Language, Groups Complex. Cryptol. 10 (2018), no. 1, 9–15.
7. On Optimal Scott Sentences of Finitely Generated Algebraic Structures, with Matthew Harrison-Trainor, Proc. Amer. Math. Soc. 146 (2018), no. 10, 4473–4485.
8. On the Symmetry of Images of Words Maps in Groups, with William Cocke, Comm. Algebra 46 (2018), no. 2, 756–763.
9. Random Nilpotent Groups I, with Matthew Cordes, Moon Duchin, Yen Duong, and Ayla P. Sánchez, Int. Math. Res. Not. 2018, no. 7, 1921–1953.
10. Describing Groups, Proc. Amer. Math. Soc. 145 (2017), no. 5, 2223-2239.
I am teaching MA 26500 in Fall 2019.
Summer 2019: MA 34100 Foundations of Analysis
Spring 2019: MA 26500 Linear Algebra
Summer 2018: MA 34100 Foundations of Analysis
Spring 2018: MA 26500 Linear Algebra
Fall 2017: MA 26500 Linear Algebra
Here is a list of courses I have taught in University of Wisconsin-Madison: