Mohsen Gheibi

Email: mohsen.gheibi@famu.edu

Office: 410 Jackson-Davis Hall

Phone: (850) 412-5235

Research Interests: Commutative algebra and homological algebra with applications in algebraic geometry. Specifically, homological dimensions, free resolutions, linkage theory, hyperhomological algebra and category theory.

Publications:

1. Characteristic modules over a local ring, joint with Ryo Takahashi, preprint.

2. Numerical aspects of complexes of finite homological dimensions, joint with M. Rahro Zargar, to appear in J. Commutative Algebra.

3. Quasi-Injective Dimension, J. Pure and Applied Algebra Volume 228, Issue 2, Feb. 2024.

4. The Homotopy Lie Algebra of a Tor-Independent Tensor Product, joint with Luigi Ferraro, David A Jorgensen, Nicholas Packauskas, and Josh Pollitz, Illinois Journal of Math.

5. Quasi-projective dimension, joint with David A Jorgensen and Ryo Takahashi, Pacific Journal of Mathematics, Vol 312 (2021) No. 1, 113-147.

6. Some criteria for detecting large homomorphisms of local rings, joint with Ryo Takahashi, Comm. Algebra, Volume 49, 3490-3500 (2021).

7. Totally reflexive modules and Poincaré series, joint with R. Takahashi, J. Algebra, 520, 440–459 (2019).

8. Associated primes and syzygies of linked modules, joint with O. Celikbas, M.T. Dibaei, A. Sadeghi and R. Takahashi, Journal of Commutative Algebra, Volume 11, Number 3, 301–323, Fall 2019.

9. Homological dimensions of rigid modules, joint with O. Celikbas, A. Sadeghi, and M.R. Zargar, Kyoto Journal of Math, Vol. 58, (2018), 639–669.

10. Brauer–Thrall for totally reflexive modules over local rings of higher dimension, joint with O. Celikbas and R. Takahashi, Algebras and Representation Theory, June 2013, v. 17, Issue 3, pp 997–1008.

11. Linkage of modules over Cohen–Macaulay rings, joint with M.T. Dibaei, S.H. Hassanzadeh and A. Sadeghi, Journal of Algebra, v. 335, Issue 1, 1 June 2011, 177– 187.

Selected Talks:

1. Algebra and Number Theory Seminar (invited), UT Rio Grande Valley, May 2024.

2. Algebra and Number Theory Seminar (invited), Texas Tech University, April 2021.

3. Zoom Special Session on DG Methods in Commutative Algebra and Representation Theory (invited), May 2020.

4. SLAM 2020 (invited), Tulane University, March 2020.

5. AMS sectional meeting (invited), University of Florida, Gainesville, November 2019.

6. Algebraic Geometry, Algebra & Number Theory (AGANT) Seminar, University of Texas at Arlington, October 2019.

7.  KUMUNUjr (2019) (invited), University of Nebraska-Lincoln, March 2019.

8. AMS Sectional Meeting (invited), University of Arkansas, November 2018.

9. AMS Sectional Meeting (invited), University of Central Florida, September 2017.

10. Algebra Seminar (invited), University of Connecticut, October 2015.