Turbo's Homepage

Meng-Che "Turbo" Ho

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

Math

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. Word Maps in Finite Simple Groups, with William Cocke, submitted

2.
Characterizations of Cancellable Groups,
with Matthew
Harrison-Trainor, *Proc. Amer. Math. Soc.*, to appear

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

Teaching

I am teaching MA 26500 Linear Algebra in Spring 2019.

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