Turbo's Homepage

Meng-Che "Turbo" Ho

Department of Mathematics

Purdue University

150 N. University Street

West Lafayette, IN 47907-2067


I am a Golomb Visiting Assistant Professor in the Department of Mathematics at Purdue University.

Office: MATH 400

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 got my Ph.D. from University of Wisconsin-Madison under the direction of Professor Uri Andrews and Professor Tullia Dymarz in May 2017.                                                                                                                   

Here's my CV and my genealogy.


Publication List

You can also see the list of my publication on Arxiv or MathSciNet.

1.          Horocyclic Growth in HNN Extensions of Z^m, with Ayla P. Sánchez, in preparation

2.          Finitely Generated Groups Are Universal, with Matthew Harrison-Trainor, submitted

3.          The Word Problem of Z^m Is a Multiple-Context Free Language, Groups, Complexity, Cryptology, accepted pending revision

4.          On Optimal Scott Sentences of Finitely Generated Algebraic Structures, with Matthew Harrison-Trainor, Proceedings of the American Mathematical Society, to appear

5.          On the Symmetry of Images of Words Maps in Groups, with William Cocke, Communications in Algebra, to appear

6.          Random Nilpotent Groups I, with Matthew Cordes, Moon Duchin, Yen Duong, and Ayla P. Sánchez, International Mathematics Research Notices, to appear

7.          Describing Groups, Proc. Amer. Math. Soc. 145 (2017), no. 5, 2223-2239



I am currently teaching MA 26500 Linear Algebra. My office hours are 9 - 12 am every Tuesday. You can view my teaching website here.


Previous teaching:

Fall 2017: MA 26500 Linear Algebra


Here is a list of courses I have taught in University of Wisconsin-Madison:

Math 130: Mathematics for Teaching: Numbers and Operations

Math 131: Mathematics for Teaching: Geometry and Measurement

Math 171: Calculus with Algebra and Trigonometry I

Math 211: Calculus

Math 221: Calculus and Analytic Geometry I

Math 234: Calculus - Functions of Several Variables