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 for Fall 2017 – Spring 2020.

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 am on the job market this year (for jobs starting Fall/Summer 2020.)

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 are my CV, research statement, and genealogy.

Publication List

My collaborators: Laura Ciobanu, William Cocke, Matthew Cordes, Moon Duchin, Yen Duong, Alex Evetts, Matthew Harrison-Trainor, Ayla P. Sánchez.

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

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.

Teaching

I am teaching MA 26500 in Fall 2019.

Previous teaching:

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:

Math 130: Mathematics for Teaching: Numbers and Operations

Math 131: Mathematics for Teaching: Geometry and Measurement

Math 171: Calculus with Algebra and Trigonometry I