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 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 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, MathSciNet, or Google Scholar.

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

  2. Characterizations of Cancellable Groups, with Matthew Harrison-Trainor, submitted

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

  4. The Probability Distribution of Word Maps on Finite Groups, with William Cocke, J. Algebra, to appear.

  5. The Word Problem of Z^m Is a Multiple-Context Free Language, Groups Complex. Cryptol. 10 (2018), no. 1, 9–15.

  6. On Optimal Scott Sentences of Finitely Generated Algebraic Structures, with Matthew Harrison-Trainor, Proc. Amer. Math. Soc. 146 (2018), no. 10, 4473–4485.

  7. On the Symmetry of Images of Words Maps in Groups, with William Cocke, Comm. Algebra 46 (2018), no. 2, 756–763.

  8. Random Nilpotent Groups I, with Matthew Cordes, Moon Duchin, Yen Duong, and Ayla P. Sánchez, Int. Math. Res. Not. 2018, no. 7, 1921–1953.

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



I am not teaching in Fall 2018.


Previous teaching:

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:

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