Preprints
Schur multiplier of SL2 over finite commutative rings (with Abraham Rojas Vega) PDF
Publications
The low dimensional homology of the elementary group of rank two (with Elvis Torres Pérez) To appear in Journal of Homotopy and Related Structures PDF
The second integral homology of SL2(Z[1/n]) (with Bruno R. Ramos and Thiago Verissimo) To appear in Revista Matemática Iberoamericana PDF
The third homology of stem-extensions and Whitehead's quadratic functor (with F. Y. Mokari and David M. C. Ordinola) To appear in Advanced Studies: Euro-Tbilisi Mathematical Journal PDF
Abelianization of SL2 over Dedekind domains of arithmetic type (with Bruno R. Ramos and Thiago Verissimo) Journal of Algebra 688 (2026), 1-20 PDF Link
On the connections between the low dimensional homology groups of SL2 and PSL2 (with Elvis Torres Pérez) Communications in Algebra 53 (2025) no. 11, 4939–4955 PDF Link
The low dimensional homology of projective linear group of degree two (with Elvis Torres Pérez) Documenta Mathematica 30 (2025), no. 2, 1157–1199, PDF
The third homology of projective special linear group of degree two (with Elvis Torres Pérez) Journal of Pure and Applied Algebra 229 (2025), 107965, 1–32 PDF Link
The abelianization of the elementary group of rank two (with Elvis Torres Pérez) Proceedings of the Edinburgh Mathematical Society 68 (2025), no. 2, 487–505 PDF Link
A refined Bloch-Wigner exact sequence in characteristic 2 (with Elvis Torres Pérez) Journal of Algebra 657 (2024), no. 1, 141–158 PDF Link
A refined scissors congruence group and the third homology of SL2 (with Elvis Torres Pérez) Journal of Pure and Applied Algebra 228 (2024) 107615, 1–28 PDF Link
Some remarks on the homology of nilpotent groups (with Fatemeh Y. Mokari) Communications in Mathematics 31 (2023), no. 1, 359–367 PDF
The homology of SL2 of discrete valuation rings (with K. Hutchinson and Fatemeh Y. Mokari) Advances in Mathematics 402 (2022) 108313, 1–47 PDF Link
Homology of GLn over infinite fields outside the stability range. Journal of Pure and Applied Algebra 226 (2022) 106916, 1–33 PDF Link
Third homology of perfect central extensions (with F.Y. Mokari and David M. C. Ordinola) Advanced Studies: Euro-Tbilisi Mathematical Journal 14(4) (2021), 61–80 PDF
A Bloch-Wigner exact sequence over local rings. Journal of Algebra 476 (2017), 459–493. PDF
Virtual rational Betti numbers of nilpotent-by-abelian groups. (with Fatemeh Y. Mokari) Pacific Journal of Mathematics 283 (2016), no. 2, 381–403. PDF
Bloch-Wigner theorem over rings with many units II. (with Fatemeh Y. Mokari). Journal of Pure and Applied Algebra 219 (2015), 5078–5096. PDF
Third homology of SL2 and the indecomposable K3. Journal of Homotopy and Related Structures 10 (2015), 673–683. PDF
Third homology of general linear groups over rings with many units. Journal of Algebra 350 (2012), 374–385. PDF
A note on third homology of GL2. Communications in Algebra 39 (2011), no. 5, 1595–1604. PDF
Bloch-Wigner Theorem over rings with many units. Mathematische Zeitschrift 268 (2011), 329–346. PDF
Third homology of general linear groups. Journal of Algebra 320 (2008) 1851–1877. PDF
Homology of GLn: injectivity conjecture for GL4. Mathematische Annalen 304 (2008) no.1, 159–184. PDF
Homology of GLn over algebraically closed fields. Journal of the London Mathematical Society 76 (2007) 605–621. PDF
Homology stability for Unitary groups II. K-Theory 36 (2005) no. 3-4, 305–326. PDF
Homology stability for Unitary groups. (with W. van der Kallen) Documenta Mathematica 7 (2002) 143–166. PDF
Reduced K-theory and the group G(D)=D*/F*D'. (with R. Hazrat and M. Mahdavi-Hezavehi) Proceeding of Algebraic K-Theory and its Applications, 403–409, World Sci. Publishing, River Edge, NJ, 1999. PDF
Book
Topics and Problems in Group Theory (in Persian, 250 pages), Sharif University Publication, 2017.
Thesis
Livre-Docência: Algebraic K-theory and homology of general linear groups. ICMC-USP, São Carlos, São Paulo, Brazil, 2022
PhD Thesis: Homology of classical groups and K-theory. Utrecht University, Utrecht, The Netherlands, 2004
Test Problem (Master Class Thesis): Arithmetic groups. Utrecht University, Utrecht, The Netherlands, 2000
Master Thesis (in Persian): O the group SK1(D). Sharif University of Technology, Tehran, Iran, 1997