- Infinitesimal and cyclic aspects of motives, Thesis, University of Chicago, 2006
- Algebraic cycles and additive dilogarithm, Int. Math. Res. Not. Vol 2007, doi:10.1093/imrn/rnm067 (19 pages)
- Regulators on additive higher Chow groups, Amer. J. Math. Vol 131 (2009) no. 1, 257-276, (20 pages) or, arxiv math.AG/0605702
- Algebraic cycles and Connes periodicity, Preprint math.AG/0607272 (will not be published)
- A Hochschild-cyclic approach to additive higher Chow cycles (will not be published). Ppart of it was corrected and absorbed by paper number 9.
- (with A. Krishna) Moving lemma for additive higher Chow groups, Algebra Number Theory, 6 (2012) no. 2, 293-326. doi:10.2140/ant.2012.6.293

- (with A. Krishna) Mixed motives over k[t]/(t^{m+1}), J. Inst. Math. Jussieu. 11 (2012) no. 3, 611-657. DOI:10.1017/S1474748011000181
- (with A. Krishna) Algebraic cobordism theory attached to algebraic equivalence, J. of K-theory, 11 (2013) no. 1, 73-112. doi:10.1017/is013001028jkt210
- (with A. Krishna) DGA-sttructure on additive higher Chow groups, Int. Math. Res. Not. Vol 2015 (2015), no. 1, 1-54. doi: 10.1093/imrn/rnt193
- (with A. Krishna) Semitopologization in motivic homotopy theory and applications, Algebr. Geometr. Top., 15 (2015), no. 2, 823-861. doi:10.2140/agt.2015.15.823
- (with A. Banerjee) On numerical equivalence for algebraic cobordism, J. Pure Appl. Algebra, 220 (2016) no. 1, 435-464. doi:10.1016/j.jpaa.2015.07.002
- (with A. Krishna) On additive higher Chow groups of affine schemes, Documenta Math. 21 (2016) 49-89.
- (with A. Krishna) A module structure and a vanishing theorem for cycles with modulus, Math Research Letters, 24 (2017), no. 4, 1147--1176. (30 pages) DOI: http://dx.doi.org/10.4310/MRL.2017.v24.n4.a10
- (with A. Krishna) A moving lemma for cycles with very ample modulus, Annali della Scuola Normale Superiore di Pisa., 17 (2017), no. 4, 1521-1549. (29 pages) doi:10.2422/2036-2145.201509_010
- Additive higher Chow groups and de Rham-Witt complexes, in K-theory-Proceedings of TIFR International Colloquium, Mumbai, 2016, 65--89, Hindustan Book Agency, New Delhi, 2018.
- (with K.-D. Crisman) Zero-cycles with modulus associated to hyperplane arrangements on affine spaces, Manuscripta Math. 155 (2018) no. 1, 15-45. (31 pages) DOI: 10.1007/s00229-017-0931-x
- (with S. Unver) Motivic cohomology of fat points in Milnor range, Documenta Mathematica 23 (2018) 759-798. (40 pages) doi:10.25537/dm.2018v23.759-798
- Calculus of absolute Kaehler forms and Milnor K-theory, in K-theory and algebra, analysis and topology, Proceedings of the ICM2018 Satellite conference on K-theory, Contemporary Math, Vol 749, 2020, 327--351. doi:10.1090/conm/749/15077 (refereed book chapter)
- (with A. Krishna) A moving lemma for relative 0-cycles, Algebra Number Theory, 14, (2020), no. 4, 991--1054.
- (with A. Krishna) De Rham-Witt sheaves via algebraic cycles, with an appendix by Kay Ruelling, Compositio Math., 157, (2021), no. 10, 2089-2132.

This article was previously circulated under the title "Algebraic cycles and crystalline cohomology". - On localization for cubical higher Chow groups, preprint arXiv:2108.13561. An updated version was accepted to appear in Tohoku Math. J.
- Motivic cohomology of fat points in Milnor range via formal and rigid geometries, Mathematische Zeit. 302, (2022), 1679--1719.
- On extension of the motivic cohomology beyond smooth schemes, preprint arXiv:2108.13594, 104 pages
- (with P. Pelaez) On the coniveau filtration on algebraic K-theory of singular schemes, preprint arXiv:2112.14360, 47 pages