Profile
Title: Assistant Professor
Email: keshavarz@ntu.edu.cn
Department: Mathematics
I’m a Researcher in Representation Theory of Artin Algebras. I got my PhD in mathematics from the University of Isfahan, Iran in 2017 under the guidance of Professor Javad Asadolahi. After my PhD, I continued my studies in representation theory as a non-resident researcher at IPM (The Institute for Research in Fundamental Sciences) from October 2017 to March 2021 and I did some research project there. In fact, I won three research grants there. In August 2020, I was accepted as a Postdoctoral researcher at ECNU (East China Normal University). I started my Postdoctoral position there from September 2021 and completed it in March 2024. Currently, I’m a faculty member at Nantong University. I have published papers in J. Alg. Appl., Comm. Alg., J. Math. Soc. Japan, and Sci. China Math.
Education
Kerman University, Pure Mathematics, Bachelor of Science
Kharazmi University, Pure Mathematics, Master of Science
University of Isfahan, Pure Mathematics, PhD
Research Experience
2017.03–2021.03 The Institute for Research in Fundamental Sciences (IPM), School of Mathematics, Non-Resident Researcher
2021.09–2024.03 East China Normal University (ECNU), Department of Mathematics, Postdoctoral Researcher
2024.04–Present Nantong University, Department of Mathematics, Assistant Professor
Research Interests
Quiver Representation Theory
Auslander-Reiten Theory
Category Theory
Higher Homological Algebra
Covering Theory
Functor Category
Courses Taught
General Mathematics
Pre-Calculus
Calculus I
Calculus II
Calculus III
Linear Algebra
Numerical Linear Algebra
Advanced Algebra
Grants and Funding
N-Auslander Algebras, IPM, Grant No. 96180070, 2017/09–2019/03, Role: Principal Investigator
On the Subcategory of Modules with Finite Projective Dimensions, IPM, Grant No. 98130021, 2019/03–2020/03, Role: Principal Investigator
Relative Auslander’s Formula and Its Applications, IPM, Grant No. 99130047, 2020/03–2021/03, Role: Principal Investigator
Publications
J. Asadollahi, R. Hafezi and M. H. Keshavarz, Minimal injective resolutions and Auslander-Gorenstein property for path algebras, Comm. Algebra 45(6) (2017), 2557-2568. DOI 10.1080/00927872.2016.1233217.
J. Asadollahi, R. Hafezi and M. H. Keshavarz, Injective representations of bound quiver algebras, J. Algebra Appl. 17 (2018), 1850001, 13. DOI 10.1142/S0219498818500019.
J. Asadollahi, R. Hafezi and M. H. Keshavarz, Auslander's formula for contravariantly finite subcategories, J. Math. Soc. Japan 73 (2021), 329-349. DOI 10.2969/jmsj/83308330.
R. Hafezi and M. H. Keshavarz, A functorial approach to Categorical resolutions, Sci. China Math. 63 (2020), 2005-2016. DOI 10.1007/s11425-018-1614-3.
H. Asashiba, R. Hafezi and M. H. Keshavarz, Unifying constructions of precoverings via a 2-categorical approach and its applications, available at arXiv:2402.04680.
Z. Ding, M. H. Keshavarz, and G. Zhou, Characterizing higher Auslander-Gorenstein Algebras, to appear in Chinese Annals of Mathematics, Series B, arXiv:2402.17293.
M. H. Keshavarz, Y. Ren, and G. Zhou, Dominant and codominant dimensions for quiver representations, Bull. Sci. math. 199 (2025), 103563. DOI 10.1016/j.bulsci.2024.103563.
M. H. Keshavarz and G. Zhou, Tilting and cotilting subcategories in categories of quiver representations, Submitted.
M. H. Keshavarz and G. Zhou, Higher Auslander-Gorenstein Algebras and Gabriel Topologies, available at arXiv:2402.17803.
Invited Lectures
Homological Aspects of Categorical Algebras, Seminar on Representation Theory of Artin Algebras, IPM, Isfahan, Iran, October 19-20, 2016.
Categorical Resolutions of Artin algebras, East China Normal University, Shanghai, June 22, 2020.
Characterizing higher Auslander-Gorenstein Algebras, Tsinghua University, Beijing, April 14, 2023 (15:00-16:00).
Characterizing higher Auslander-Gorenstein Algebras via Gabriel Topologies, Tsinghua Universiy, Beijing, April 18, 2023 (15:00 – 16:00).
Homological aspects of rooted quivers, Tsinghua University, Beijing, April 20, 2023 (15:00-16:00).
Characterizing higher Auslander-Gorenstein Algebras, Nantong University, Nantong, May 19, 2023 (14:00-15:00).
Characterizing higher Auslander-Gorenstein Algebras, Henan University, Kaifeng, June 5, 2023 (10:00-11:00).
Dominant and codominant dimensions for quiver representations, Chinese Academy of Sciences, Beijing, September 22, 2023 (15:30-16:30).
Tilting and Cotilting Subcategories in Categories of Quiver Representations}, Shanghai Jiao Tong University, Shanghai, January 17, 2024.
Higher Auslander-Gorenstein Algebras and Gabriel Topologies, East China Normal University, Shanghai, January 19, 2024.
Tilting and Cotilting Subcategories in Categories of Quiver Representations, International Conference on Representations of Algebras (ICRA), Shanghai Jiao Tong University, Shanghai, August 8, 2024 (11:35-12:00).
