Paul Ellis

Brief CV

2022-present - Rutgers University, Associate Teaching Professor

2011-2022 - Manhattanville College, Professor of Mathematics

2019-2020, Chair, Department of Mathematics and Computer Science

2008-2011 - University of Connecticut, Assistant Professor in Residence

PhD, Rutgers.

BA, University of Chicago, Math and Philosophy.

Book

Papers

12. Categories of impartial rulegraphs and gamegraphs

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

Submitted to International Journal of Game Theory

11. Two Games on Arithmetic Functions: SALIQUANT and NONTOTIENT

with Jason Shi, Thotsaporn Thanatipanonda, and Andrew Tu

Submitted to Discrete Math Letters. https://arxiv.org/abs/2309.01231

10. Tukey morphisms between finite relations

with Rhett Barton and Samuel Coskey

Submitted to The Art of Discrete and Applied Mathematics. https://arxiv.org/abs/2302.02772

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