Srikanth Iyengar 's lectures : 
(1) Avramov, Luchezar; Halperin, Stephen Through the looking glass: a dictionary between rational homotopy theory and local algebra. Algebra, algebraic topology and their interactions (Stockholm, 1983), 1–27, Lecture Notes in Math., 1183, Springer, Berlin, 1986.
(2)  Dwyer, W. G.; Greenlees, J. P. C. Complete modules and torsion modules. Amer. J. Math. 124 (2002), no. 1, 199–220.
(3)  Murfet, Daniel Residues and duality for singularity categories of isolated Gorenstein singularities. Compos. Math. 149 (2013), no. 12, 2071–2100.
(4) Roberts, Paul Homological invariants of modules over commutative rings. Séminaire de Mathématiques Supérieures [Seminar on Higher Mathematics], 72. Presses de l'Université de Montréal, Montreal, Que., 1980. 110 pp. 
Somnath Basu's lectures 
(1) Y. Felix, S. Halperin and J-C. Thomas: Rational Homotopy Theory, GTM, vol. 205, Springer
(2) P. Griffiths, J. Morgan : Rational Homotopy Theory & Differential Forms, Progress in Mathematics, vol. 16, Birkhauser
(3) D. Sullivan (edited by A. Ranicki) : Geometric Topology: Localization, Periodicity and Galois Symmetry - The 1970 MIT Notes, K-monographs in mathematics, Springer
(4) Y. Felix, J. Oprea and D. Tanre: Algebraic Models in Geometry
Suresh Nayak's lectures 
(1) R. Hartshorne : Algebraic Geometry. Graduate Texts in Mathematics, No. 52. Springer-Verlag, New York-Heidelberg, 1977. xvi+496 pp
(2) D. Mumford, T. Oda : Algebraic geometry. II. Texts and Readings in Mathematics, 73. Hindustan Book Agency, New Delhi, 2015. x+504 pp.
(3) R. Hartshorne : Residues and duality.  Lecture Notes in Mathematics, No. 20 Springer-Verlag, Berlin-New York 1966 vii+423 pp. 
(4) D. Huybrechts : Fourier-Mukai transforms in algebraic geometry. Oxford Mathematical Monographs. viii+307 pp.
(5) M. Kashiwara, P. Schapira : Sheaves on manifolds.  Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 292. Springer-Verlag, Berlin, 1994. x+512 pp.
Rekha Santhanam's lectures 
(1) W. G. Dwyer, J. Spalinski : Homotopy theories and model categories. Handbook of algebraic topology, 73–126, North-Holland, Amsterdam, 1995.
(2) P. G. Goerss, J. F. Jardine : Simplicial homotopy theory. Birkhäuser Verlag, Basel, 2009. xvi+510 pp.
(3) J. E. Bergner : A survey of (\infty,1)-categories. Towards higher categories, 69–83, IMA Vol. Math. Appl., 152, Springer, New York, 2010.
Samik Basu's lectures 
(1) A. Hatcher : Algebraic topology. Cambridge University Press, Cambridge, 2002. xii+544 pp.
(2) J. F. Adams : Stable homotopy and generalised homology. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, Ill.-London, 1974. x+373 pp.
(3) M. Atiyah, Thom Complexes, Proc. London Math. Soc (3) 11, 1961, 291-310.