I am currently an Associate Teaching Professor of Mathematics at Rutgers University.

Book

Five Fabulous Activities for Your Math Circle, with Sam Coskey and Japheth Wood

Papers - Submitted

The Penults of Tak: Adventures in impartial, normal-play, positional games

with Boris Alexeev, Michael Richter, and Thotsaporn Thanatipanonda

https://arxiv.org/abs/2408.01837

Categories of impartial rulegraphs and gamegraphs

with Bojan Basic, Dana C. Ernst, Danijela Popovic, and Nandor Sieben

https://arxiv.org/abs/2312.00650

Tukey morphisms between finite relations

with Rhett Barton and Samuel Coskey

https://arxiv.org/abs/2302.02772

Papers - Published

10. Two Games on Arithmetic Functions: SALIQUANT and NONTOTIENT

with Jason Shi, Thotsaporn Thanatipanonda, and Andrew Tu

Discrete Math. Lett. 12 (2023) 209–216. 

https://doi.org/10.47443/dml.2023.154

9. The game CUT is arithmetic-periodic for C={1,2c}

with Thotsaporn Aek Thanatipanonda

Discrete Applied Mathematics, Volume 322, 15 December 2022, Pages 391-403. https://doi.org/10.1016/j.dam.2022.08.027

8. Reducing the dichromatic number via cycle reversions in infinite digraphs

with Attila Joó and Daniel Soukup

European Journal of Combinatorics, Vol 90 (2020), 17p.

https://doi.org/10.1016/j.ejc.2020.103196

7. Conjugacy for homogeneous ordered graphs

with Samuel Coskey

Archive for Mathematical Logic (2019) 58: 457-467 

https://doi.org/10.1007/s00153-018-0645-0

6. Cycle reversions and dichromatic number in tournaments

with Daniel Soukup

European Journal of Combinatorics (2019) 77:31-48 

https://doi.org/10.1016/j.ejc.2018.10.008

5. The classification problem for simple unital finite rank dimension groups

Israel Journal of Math. (2018) 226: 419-445 

https://doi.org/10.1007/s11856-018-1700-6

4. The conjugacy problem for automorphism groups of countable homogeneous digraphs

with Samuel Coskey

Contributions to Discrete Mathematics; Vol 12, No 1 (2017): 62-73 

https://doi.org/10.11575/cdm.v12i1.62551

3. The conjugacy problem for automorphism groups of countable homogeneous structures

with Samuel Coskey

Mathematical Logic Quarterly (2016) 62: 580-589 

https://doi.org/10.1002/malq.201500004

2. The conjugacy problem for the automorphism group of the random graph

with Samuel Coskey and Scott Schneider

Archive for Mathematical Logic (2011) 50: 215-221 

https://doi.org/10.1007/s00153-010-0210-y

1. Ultraproducts of finite alternating groups

with Sherwood Hachtman, Scott Schneider, and Simon Thomas

RIMS Kokyuroku, No. 1619 (2008), 1-7

https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1619-01.pdf