数学科学研究所
Insitute of Mathematical Science

Mark Andrew Pengitore

Career

2026.08 - present, Research Associate Professor, ShanghaiTech University

2024.09 - 2026.08, Research Postdoc at IMPAN

2021.08 - 2024.07, RTG research associate and lecturer at University of Virginia

2018.08 - 2021.07, Zassenhaus Assistant Professor at The Ohio State University


Education

2011.08 - 2018.07 Doctorate of Philosophy in Pure mathematics at Purdue University

2005.08 - 2010.05 Bachelor of Science in Applied and Computational Mathematics at South Dakota School of Mines and Technology


Research Interests

My current mathematical interests like geometric group theory and low dimension topology. To be more precise, I study effective behavior of residual properties such as and conjugacy separability and their various generalizations to provide new asymptotic and algebraic invariants to groups of classic and contemporary interest. These include finite extensions of finitely generated nilpotent and solvable groups and groups of importance to low dimensional topology such as the mapping class group.


Publications

1. M. Ferov and M. Pengitore. Conjugacy depth functions of wreath products of abelian groups.

Preprint available at: arXiv:2201.06165 J. Groups Complex. Cryptol. (1) 15 (2023), pp.2:1-2:33

2. J. Der´e, M. Ferov and M. Pengitore. Survey on effective separability

Preprint available at: arXiv:2201.13327 

to appear in ”Geometric methods in group theory: papers dedicated to Ruth Charney” as part of the series S´eminaires et Congr`es by the SMF

3. J. Choi, T. Ho, and M. Pengitore. Rational growth in torus bundle groups for odd trace.

Preprint available at: arXiv:1711.08091 Proc. Edinb. Math. Soc. (2) 65 (2022), no. 4, 1080-1132

4. M. Ferov and M. Pengitore. Quantifying conjugacy separability in wreath products of groups.

Preprint available at: arXiv:1910.02174 Q.J. Math. 72 (2022), no.5, 1555-1593
5. R. Kropholler, and M. Pengitore. A coarse embedding theorem for   homological filling functions.

Preprint available at: arXiv:2008.11090 Bull. Lond. Math. Soc. 54 (2022), no. 3,   876-890 

6. J. Oh and M. Pengitore. Geometry of non-transitive graphs.

Preprint available at: arXiv:2008.08638 Pacific J. Math. 317 (2022), no. 2,   423-440

7. M. Pengitore. Residual dimension of nilpotent groups.

Preprint available at: arXiv:1809.07934 J. Group Theory 23 (2020), no. 5,   801–829

8. M. Pengitore. Residual finiteness and strict distortion of cyclic subgroups of solvable groups.

Preprint available at: arXiv:1903.08123 J. Algebra 546 (2020), 679-688

9. D. Cohen and M. Pengitore. Translation-Like Actions of Nilpotent Groups.

Preprint available at: arXiv:1704.06999 J. Topol. Anal. 11 (2019), no. 2, 405-426

10. J. Der´e and M. Pengitore. Effective Twisted Conjugacy Separability for Nilpotent Groups.

Preprint available at: arXiv:1705.10212 Math. Z. 292 (2019), no. 3-4, 763-790

11. J. Der´e and M. Pengitore. Effective Subgroup Separability for Nilpotent Groups.

Preprint available at: arXiv:1711.08091 J. Algebra 506 (2018), 489–508

12. M. Pengitore. Effective Separability of Finitely Generated Nilpotent   Groups.

Preprint available at: arXiv:1505.05445 New York J. Math 24 (2018) 83–145

13. M. Pengitore. Corrigendum to ”Effective Separability of Finitely   Generated Nilpotent Groups.”New York J. Math. 24 (2018), 897–901

14. J. Der´e and M. Pengitore. Corrigendum to ”Effective Subgroup   Separability for Nilpotent Groups.” [J. Algebra 506 (2018) 489-508] J.   Algebra 523 (2019), 365–367

15. C.R. Tolle, M. Pengitore. Phase-Space Reconstruction: A Path Towards the Next Generation of Nonlinear Differential Equations Based Models and Its ImplicationsTowards Non-Uniform Sampling Theory

IEEE ISRCS. 2009.

  

  

Email: pengitore@shanghaitech.edu.cn

Office: S309, School of Creativity & Arts


地址:上海市浦东新区华夏中路393号
邮编:201210
上海市徐汇区岳阳路319号8号楼
200031(岳阳路校区)