Publications

  • L. L. Avramov (2018). Homology over trivial extensions of commutative DG algebras. Communications in Algebra. Published, 12/2018.
  • L. L. Avramov (2018). Restricting homology to hypersurfaces. Springer. Published, 11/2018.
  • Srikanth B. Iyengar & Ryo Takahashi (2018). The Jacobian ideal of a commutative ring and annihilators of cohomology. Journal of Algebra. Published, 08/2018.
  • D. Benson & S. B. Iyengar, H. Krause, J. Pevtsova (2018). Stratification for module categories of finite group schemes. J.~Amer.~Math.~Soc.,. Published, 01/2018.
  • D. Benson & S. B. Iyengar, H. Krause, J. Pevtsova (2017). Stratification and $\pi$-cosupport: Finite groups. Math. Z. Published, 12/2017.
  • D. J. Dailey & Srikanth B. Iyengar, Tom Marley (2017). Detecting finite flat dimension of modules via iterates of the Frobenius endomorphism. Journal of Commutative Algebra. Published, 07/2017.
  • D. Benson & S. B. Iyengar, H. Krause, J. Pevtsova (2017). Colocalising subcategories of module over finite group schemes. Ann. K-theory. Published, 06/2017.
  • L. W. Christensen & S. B. Iyengar (2017). Tests for injectivity of modules over commutative rings. Collect. Math. Published, 05/2017.
  • J. F. Carlson & S. B. Iyengar (2017). Hopf algebra structures and tensor products for group algebras. New York J. Math. Published, 01/2017.
  • S. B. Iyengar & R. Takahashi (2016). Annihilation of cohomology and strong generation of module categories. International Math. Res. Notices. Published, 01/2016.
  • Avramov, Luchezar L., Bruns, Winfried & Iyengar, Srikanth B. (2015). To Hans-Bjørn Foxby. Elsevier BV. Published, 2015.
  • BENSON, DAVE, IYENGAR, SRIKANTH B. & KRAUSE, HENNING (2015). A local-global principle for small triangulated categories. Cambridge University Press (CUP). , 1-26. Published, 2015.
  • Iyengar, S. B. & Takahashi, R. (2015). Annihilation of Cohomology and Strong Generation of Module Categories. Oxford University Press (OUP). Published, 2015.
  • A. Conca & S. B. Iyengar, H. Nguyen, T. Roemer (2015). Absolutely Koszul algebras and the Backelin-Roos property. Acta Mathematica Vietnamica. Published, 09/2015.
  • A. Conca & S. B. Iyengar, H. Nguyen, T. Roemer (2015). Absolutely Koszul algebras and the Backelin-Roos property. Acta Mathematica Vietnamica. Published, 09/2015.
  • O.~Celikbas & S. B. Iyengar, G.~Piepmeyer, R.~Wiegand (2015). Criteria for vanishing of Tor over complete intersections. Pacific J. Math. Published, 07/2015.
  • O. Celikbas & S. B. Iyengar, G.~Piepmeyer, R.~Wiegand (2015). Torsion in tensor powers of modules. Nagoya Math. J. Published, 06/2015.
  • S. B. Iyengar & J. Lipman, A. Neeman (2015). Relation between two twisted inverse image pseudofunctors in duality theory. Compositio Math.,. Published, 04/2015.
  • Carlson, Jon F. & Iyengar, Srikanth B. (2014). Thick subcategories of the bounded derived category of a finite group. American Mathematical Society (AMS). , 1. Published, 2014.
  • Iyengar, Srikanth B., Neeman, Amnon & Lipman, Joseph (2014). Relation between two twisted inverse image pseudofunctors in duality theory. Oxford University Press (OUP). , 1-30. Published, 2014.
  • Iyengar, Srikanth B. & Takahashi, Ryo (2014). Annihilation of cohomology and decompositions of derived categories. International Press of Boston. Vol. 16(2), 231-237. Published, 2014.
  • Iyengar, Srikanth B. & Krause, Henning (2013). The Bousfield lattice of a triangulated category and stratification. Springer Science + Business Media. Vol. 273(3-4), 1215-1241. Published, 2013.
  • Benson, Dave, Iyengar, Srikanth B. & Krause, Henning (2013). Module categories for group algebras over commutative rings. Cambridge University Press (CUP). Vol. 11(02), 297-329. Published, 2013.
  • Avramov, Luchezar L. & Iyengar, Srikanth B. (2013). Bass numbers over local rings via stable cohomology. Rocky Mountain Mathematics Consortium. Vol. 5(1), 5-15. Published, 2013.
  • Dwyer, W. G., Greenlees, J. P. C. & Iyengar, S. B. (2013). DG algebras with exterior homology. Oxford University Press (OUP). Vol. 45(6), 1235-1245. Published, 2013.
  • Avramov, Luchezar L., Hochster, Melvin, Iyengar, Srikanth B. & Yao, Yongwei (2012). Homological invariants of modules over contracting endomorphisms. Springer Science + Business Media. Vol. 353(2), 275-291. Published, 2012.
  • Iyengar, Srikanth B., Benson, David J. & Krause, Henning (2012). Colocalizing subcategories and cosupport. Walter de Gruyter GmbH. Vol. 2012(673). Published, 2012.
  • Avramov, Luchezar L. & Iyengar, Srikanth B. (2012). Detecting flatness over smooth bases. American Mathematical Society (AMS). Vol. 22(1), 35-47. Published, 2012.
  • Benson, D., Iyengar, S. B. & Krause, H. (2011). Stratifying triangulated categories. Oxford University Press (OUP). Vol. 4(3), 641-666. Published, 2011.
  • Benson, David, Krause, Henning & Iyengar, Srikanth (2011). Stratifying modular representations of finite groups. Annals of Mathematics, Princeton U. Vol. 174(3), 1643-1684. Published, 2011.
  • Iyengar, Srikanth, Lipman, Joseph & Avramov, Luchezar (2011). Reflexivity and rigidity for complexes, II: Schemes. Mathematical Sciences Publishers. Vol. 5(3), 379-429. Published, 2011.
  • Greenlees, J. P. C., Iyengar, S. B. & Dwyer, W. G. (2011). Gross-Hopkins duality and the Gorenstein condition. Cambridge University Press (CUP). Vol. 8(01), 107-133. Published, 2011.
  • Benson, Dave, Krause, Henning & Iyengar, Srikanth B. (2011). Localising subcategories for cochains on the classifying space of a finite group. Elsevier BV. Vol. 349(17-18), 953-956. Published, 2011.
  • Chen, Xiao-Wu & Iyengar, Srikanth B. (2010). Support and injective resolutions of complexes over commutative rings. International Press of Boston. Vol. 12(1), 39-44. Published, 2010.
  • Avramov, Luchezar L., Iyengar, Srikanth B. & Sega, Liana M. (2010). Short Koszul modules. Rocky Mountain Mathematics Consortium. Vol. 2(3), 249-279. Published, 2010.
  • Avramov, Luchezar L., Buchweitz, Ragnar-Olaf, Iyengar, Srikanth B. & Miller, Claudia (2010). Homology of perfect complexes. Elsevier BV. Vol. 223(5), 1731-1781. Published, 2010.
  • Iyengar, Srikanth, Avramov, Luchezar & Lipman, Joseph (2010). Reflexivity and rigidity for complexes, I: Commutative rings. Mathematical Sciences Publishers. Vol. 4(1), 47-86. Published, 2010.
  • Avramov, Luchezar L., Iyengar, Srikanth B., Lipman, Joseph & Nayak, Suresh (2010). Reduction of derived Hochschild functors over commutative algebras and schemes. Elsevier BV. Vol. 223(2), 735-772. Published, 2010.
  • Bergh, Petter Andreas, Iyengar, Srikanth B., Krause, Henning & Oppermann, Steffen (2010). Dimensions of triangulated categories via Koszul objects. Springer Science + Business Media. Vol. 265(4), 849-864. Published, 2010.
  • Avramov, Luchezar L., Conca, Aldo & Iyengar, Srikanth B. (2010). Free resolutions over commutative Koszul algebras. International Press of Boston. Vol. 17(2), 197-210. Published, 2010.
  • Iacob, Alina & Iyengar, Srikanth B. (2009). Homological dimensions and regular rings. Elsevier BV. Vol. 322(10), 3451-3458. Published, 2009.
  • Herbig, Hans-Christian, Iyengar, Srikanth B. & Pflaum, Markus J. (2009). On the Existence of Star Products on Quotient Spaces of Linear Hamiltonian Torus Actions. Springer Science + Business Media. Vol. 89(2), 101-113. Published, 2009.
  • Iyengar, Srikanth B. & Römer, Tim (2009). Linearity defects of modules over commutative rings. Elsevier BV. Vol. 322(9), 3212-3237. Published, 2009.
  • Avramov, L. L., Sega, L. M. & Iyengar, S. B. (2008). Free resolutions over short local rings. Oxford University Press (OUP). Vol. 78(2), 459-476. Published, 2008.
  • Avramov, Luchezar & Iyengar, Srikanth (2008). Gorenstein algebras and Hochschild cohomology. Michigan Mathematical Journal. Vol. 57(0), 17-35. Published, 2008.
  • Puthenpurakal, Tony J. & Iyengar, Srikanth (2007). . American Mathematical Society (AMS). Vol. 135(03), 637-649. Published, 2007.
  • Iyengar, Srikanth & Christensen, Lars Winther (2007). Gorenstein dimension of modules over homomorphisms. Elsevier BV. Vol. 208(1), 177-188. Published, 2007.
  • Avramov, L. L. (Luchezar L.), Miller, Claudia & Iyengar, Srikanth (2006). Homology over local homomorphisms. Johns Hopkins University Press. Vol. 128(1), 23-90. Published, 2006.
  • Iyengar, Srikanth & Bridgeland, Tom (2006). A criterion for regularity of local rings. Elsevier BV. Vol. 342(10), 723-726. Published, 2006.
  • Greenlees, J.P.C., Iyengar, S. & Dwyer, W.G. (2006). Duality in algebra and topology. Elsevier BV. Vol. 200(2), 357-402. Published, 2006.
  • Iyengar, S., Greenlees, John & Dwyer, William (2006). Finiteness in derived categories of local rings. European Mathematical Publishing House. , 383-432. Published, 2006.
  • Avramov, Luchezar L. & Iyengar, Srikanth (2005). Gaps in Hochschild cohomology imply smoothness for commutative algebras. International Press of Boston. Vol. 12(6), 789-804. Published, 2005.
  • Iyengar, Srikanth & Herzog, Jürgen (2005). Koszul Modules. Elsevier BV. Vol. 201(1-3), 154-188. Published, 2005.

Grants, Contracts & Research Gifts

  • Commutative algebra: homological and homotopical aspects (1503044). PI: Srikanth B Iyengar. National Science Foundation, 2014 - 05/31/2017. Total project budget to date: $183,123.00
  • Commutative algebra: homological and homotopical aspects (1201889). PI: Srikanth B Iyengar. National Science Foundation, 2012 - 11/30/2014. Total project budget to date: $177,084.00
  • Pan American Advanced Studies Institute: Commutative Algebra and Its Interactions with Algebraic Geometry, Representation Theory, and Physics; Guanajuato, Mexico; May 14-25, 2012 (1123059). PI: Iyengar, Srikanth. National Science Foundation, 2012 - 12/31/2013. Total project budget to date: $99,970.00
  • Derived categories of complete intersections and Hochschild cohomology (0903493). PI: Iyengar, Srikanth. National Science Foundation, 2009 - 07/31/2013. Total project budget to date: $210,528.00
  • Derived invariants of commutative rings (0602498). PI: Iyengar, Srikanth. National Science Foundation, 2006 - 05/31/2009. Total project budget to date: $139,043.00
  • Homological Invariants of Modules Over Commutative Rings (0442242). PI: Iyengar, Srikanth. National Science Foundation, 2004 - 05/31/2006. Total project budget to date: $62,243.00