Satya Mandal
Publications and Talks
Publications
Professor Satya Mandal has an extensive and influential publication record spanning four decades, focusing predominantly on algebraic K-theory, projective modules, homotopy obstructions, and related topics. His work includes monographs, research articles in top mathematical journals, and collaborations exploring foundational and advanced problems in commutative algebra and algebraic geometry. Notable themes include Euler class groups, complete intersections, Witt and Grothendieck–Witt theory, and excision principles.
Satya Mandal
Devissage Hermitian Theory
International Journal of Mathematics
DOI: 10.1142/S0129167X25500491
Satya Mandal
Localization problems of Quillen,
Journal of Algebra 680 (2025) 205--266 (Here)
Satya Mandal
Algebraic $K$-theory The Homotopy Approach of Quillen and an Approach from Commutative Algebra (Here)
Mandal, Satya; Mishra, Bibekananda
Some perspectrive on homotopy obstructions, (Here),
Indian J Pure Appl Math
Mandal, Satya; Mishra, Bibekananda
The monoid structure on homotopy obstructions, (Here)
J. Algebra 540 (2019), 168-205.
Mandal, Satya; Mishra, Bibekananda
The homotopy obstructions in complete intersections.
J. Ramanujan Math. Soc. 34 (2019), no. 1, 109-132.
Satya Mandal
Erratum to "On the complete intersection conjecture of Murthy",
with an example incomplete intersections (Here)
Journal of Algebra 494 (2018)
Satya Mandal
Witt, GW, K-theory of quasi-projective schemes (Here)
Journal of Pure and Applied Algebra (2016)
Satya Mandal
On the complete intersection conjecture of Murthy (Here)
Journal of Algebra 458 (2016) 156-170
Satya Mandal and Sarang Sane
On Dévissage for Witt groups (Here)
J. Ramanujan Math. Soc. 31, No.2 (2016) 157-188
Satya Mandal
Sublagrangian constructions (Here)
J. Ramanujan Math. Soc. 30, No.3 (2015) 309-330
Satya Mandal
Foxby-morphism and derived equivalences (Here)
Journal of Algebra 440 (2015) 113-127
Satya Mandal and Sarang Sane
Stability of locally CMFPD homologies under duality
(Here)
Journal of Algebra 440 (2015) 49-71
Satya Mandal
Derived Witt group formalism (Here)
J. Pure Appl. Algebra 219 (2015), no. 8, 3518-3534.
Manoj K. Keshari and Satya Mandal
Another definition of an Euler class groups of a noetherian ring (Here)
Rocky Mountain J. of math., Volume 43, Number 1, 2013
Manoj K. Keshari and Satya Mandal
$K_0$ of Hypersurfaces Defined by $\sum_{i=1}^n x_i^2=\pm 1$ (Here)
Indian J. of Pure Appl. Math., 44(2), 2013, 119-129.
Satya Mandal and Yong Yang
Excision in algebraic obstruction theory (Here)
JPAA 216 (2012) pp. 2159-2169.
Satya Mandal and Yong Yang
Intersection theory of algebraic obstructions (Here)
JPAA 214(2010) 2279-2293.
Satya Mandal and Albert J. L. Sheu
Local Coefficients and Euler Class Groups (Here)
J. Algebra 322 (2009), no. 12, 4295--4330.
Satya Mandal and Albert J. L. Sheu
Bott Periodicity and Calculus of Euler Classes on Spheres (Here)
J. Algebra 321 (2009), no. 1, 205--229.
Satya Mandal and Albert J. L. Sheu
Obstruction theory in algebra and topology (Here)
J. Ramanujan Math. Soc. 23 (2008), no. 4, 413--424.
Mandal, Satya and Ken Parker,
Vanishing of Euler class groups (Here)
J. Algebra 308 (2007), no. 1, 107--117.
Bhatwadekar, S. M.; Das, Mrinal Kanti and Mandal, Satya,
Projective modules over smooth real affine varieties (Here)
Invent. Math. 166 (2006), no. 1, 151--184.
Das, Mrinal Kanti and Mandal, Satya,
A Riemann-Roch Theorem (Here)
J. Algebra 301 (2006), no. 1, 148--164.
Das, Mrinal Kanti and Mandal, Satya,
Euler Class Construction,
JPAA, Volume 198, Issues 1-3, 1 June 2005, Pages 93-104.
Mandal, Satya; Purnaprajna, Bangere
Complete intersections and cancellation of projective modules,
J. Ramanujan Math. Soc. 18 (2003), no. 1, 77--85.
Datt Kumar, Shiv; Mandal, Satya
Some results on generators of ideals,
J. Pure Appl. Algebra 169 (2002), no. 1, 29--32.
Mandal, Satya
Ideals in polynomial rings and the module of differentials,
J. Algebra 242 (2001), no. 2, 762--768.
Mandal, Satya
Decomposition of projective modules,
$K$-Theory 22 (2001), no. 4, 393--400.
Mandal, Satya; Pavaman Murthy, M.
Ideals as sections of projective modules,
J. Ramanujan Math. Soc. 13 (1998), no. 1, 51--62.
Mandal, Satya
Complete intersection $K$-theory and Chern classes,
Math. Z. 227 (1998), no. 3, 423--454.
Mandal, Satya
Projective modules and complete intersections,
Lecture Notes in Mathematics, 1672.
Springer-Verlag, Berlin, 1997. viii+114 pp.
ISBN: 3-540-63564-5
Mandal, Satya and Varma, P. L. N.
On a question of Nori: the local case,
Comm. Algebra 25 (1997), no. 2, 451--457.
Mandal, Satya; Sridharan, Raja
Euler classes and complete intersections,
J. Math. Kyoto Univ. 36 (1996), no. 3, 453--470.
Mandal, Satya
Cancellation of line bundles: elementary proof,
J. Ramanujan Math. Soc. 11 (1996), no. 1, 61--66.
Verma, J. K.; Katz, D.; Mandal, S.
Hilbert functions of bigraded algebras,
Commutative algebra (Trieste, 1992), 291--302,
World Sci. Publishing, River Edge, NJ, 1994. 13D40 (13A02)
Cukierman, Fernando; Mandal, Satya
Study of vector bundles by restriction,
Comm. Algebra 23 (1995), no. 8, 2971--2974.
Lang, Jeffrey; Mandal, Satya,
On Jacobian $n$-tuples in characteristic $p$,
Rocky Mountain J. Math. 23 (1993), no. 1, 271--279.
Mandal, Satya
Homotopy of sections of projective modules,
J. Algebraic Geom. 1 (1992), no. 4, 639--646.
Mandal, Satya
Lifting of isometries of quadratic spaces over polynomial rings,
J. Indian Math. Soc. (N.S.) 56 (1991), no. 1-4, 229--231.
Mandal, Satya
About direct summands of projective modules over Laurent polynomial rings,
Proc. Amer. Math. Soc. 112 (1991), no. 4, 915--918.
Bhatwadekar, S. M.; Mandal, Satya
On automorphisms of modules over polynomial rings,
J. Algebra 128 (1990), no. 2, 321--334.
Mandal, Satya
On set-theoretic intersection in affine spaces,
J. Pure Appl. Algebra 51 (1988), no. 3, 267--275.
Mandal, Satya; Roy, Amit
Generating ideals in polynomial rings,
Math. Z. 195 (1987), no. 3, 315--320.
Mandal, S.
Quadratic spaces over discrete Hodge algebras,
J. Pure Appl. Algebra 43 (1986), no. 2, 173--178.
Mandal, Satya
Some results about modules over discrete Hodge algebras,
Math. Z. 190 (1985), no. 2, 287--299.
Mandal, Satya
On efficient generation of ideals,
Invent. Math. 75 (1984), no. 1, 59--67.
Mandal, Satya
Number of generators for modules over Laurent polynomial rings,
J. Algebra 80 (1983), no. 2, 306--313.
Mandal, S.
Basic elements and cancellation over Laurent polynomial rings,
J. Algebra 79 (1982), no. 2, 251--257.
Non Mathematical
Institutionalized Nihilism in the Review process: Open Letter to NSF.
The Position of the Provost: My Application.
The Reclamation of Prosperity Irony.
Growing Up and Growing Out: A Story.
Academic Talks
Below is a curated list of invited talks and presentations given by Professor Satya Mandal at universities, research institutes, and conferences around the world. These talks reflect his contributions to areas such as Algebraic K-theory, projective modules, Witt theory, and related topics in algebra and geometry. Spanning over two decades, the list includes lectures delivered at institutions like TIFR, IITs, ISI Kolkata, and universities across the U.S. and Europe. Many entries include links to slides or abstracts for further reading.
Satya Mandal, Perfect Modules and K-Theory localization sequences, TIFR 22 May 2024
Satya Mandal, K-Theory of categories of (perfect) CM-modules, KUMUNU 23-24 Sept 2023, U. Missouri, September 23-24, 2023
Satya Mandal, Quillen K-Theory: A reclamation in Commutative Algebra, IIT Virtual Seminar, 27, 30 October 2020
Satya Mandal, Splitting property of projective modules, by Homotopy obstructions, U. Illinois, March 2019
Satya Mandal, Homotopy obstructions for projective modules, Wash U., Sept 2018
Satya Mandal, K and GW-Theory of Quasi Projective Schemes, Algebraic Groups and Hermitian K-Theory, Lens, France, June 2018
Satya Mandal, Commutative Algebra and Algebraic K-Theory, Cochin University, KOCHI, India, December 2017
Satya Mandal, Commutative Algebra and Algebraic K-Theory, Indian Statistical Institute, Kolkata, December 2017
Satya Mandal, Failure of the Proof of the Complete Intersection Conjecture, with an Ex- ample, TIFR, Student Seminar, May 30, 2017
Satya Mandal, Commutative Algebra and Algebraic K-Theory, Indian Consortium, BHU, Banaras, December 13-17 2016
Satya Mandal, GW and K-theory of quasi-projective schemes TIFR, December 8 2016
Satya Mandal, The Homotopy Program of Nori TIFR, Student Seminar, December 5, 2016
Satya Mandal, The Complete Intersection conjecture of Murthy and epi-morphism conjecture of Abhyankar KU, April 2016.
Satya Mandal, Complete Intersection 2016 ISI, Kolkata, March 2016.
Satya Mandal, Foxby Morphism and Derived Equivalences, Warwick University, June 25, 2015
Satya Mandal, The Foxby-morphism and derived equivalences, Emory University, February, 2015
Satya Mandal, A Trilogy: Witt, Grothendieck-Witt, K-theory (3 talks), ISI, Kolkata, January 11-22, 2015.
Satya Mandal Complete Intersection AIM, Palo Alto, May 5-9, 2014.
Satya Mandal Triangulated Witt Groups, Algebra Seminar, KU, September 19, 2013
Satya Mandal, Inverting Arrows and Derived Category, Indian Institute of Science Education and Research, Pune, August 2, 2013
Satya Mandal, Localization and Witt Groups of Cohen Macaulay Rings, Indian Statistical Institute, Kolkata, July 30, 2013
Satya Mandal, How Topology shaped, and still shaping, the Obstruction Theory in Algebra, Indian Statistical Institute, Kolkata, July 29, 2013
Satya Mandal, Witt Groups of Cohen-Macaulay Rings, ATM Workshop-Conference on Classical and Non-Stable Algebraic K-theory July 15-24, 2013.
Satya Mandal, Ideal theoretic approach to Algebraic Obstruction Theory,
K-theory Workgroup (Decemeber 3-14, 2012), ICTP, Trieste, Italy.
Satya Mandal Topology in Algebra,
Faculty Seminar, Mathematics, KU, October 8, 2009.
Satya Mandal (and Albert Sheu), Real affine varieties and obstruction theories,
AMS meeting no. 1047, Urbana, IL, March 27-29, 2009
Examples and Constructions, International Conference on Projective Modules,
Tata Institute, 28-30 December 06.
An overview of Euler class theory, One-day seminar on Projective Modules and Affine Geometry,
Jadavpur University, December 20, 2006.
An overview of Euler class theory, AMS Meeting no. 1019, October 7-8, 2006,
University of Utah, Salt Lake City.
Projective modules over real smooth affine varieties, University of Chicago, March 2006.
Euler Cycles, Tata Institute, Mumbai - 400005, India, January 2005.
Technology on the job, Lunch and Discussion, Center for Teaching Excellence, Fall 2000.
Some Results in Complete Intersections, 964th AMS Meeting of AMS, March 30-31, 2001,
University of Kansas, Lawrence, Kansas 66045
Cancellation and complete intersections, Seminar Talk, Spring 2001.
e-pedagogy: paradigm shift yet to happen, Teaching Summit, KU, Fall 2002.
Cancellation and complete intersections, KUMUNU 4, September 2002.
e-pedagogy: as an alternative way, Tech. Expo, Fall 2002.
In the Study Room of Students, e-Learning Research Group, e-Learning Lab, KU January 28, 2003.