Department of Mathematics | Indian Institute Of Technology Madras , Chennai

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Dr.Uma V

Associate Professor

044 - [22]-57 [46]-26

vuma

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KCB 628

Algebraic Topology, Algebraic Geometry

to email  add  username@iitm.ac.in'

  1. "Equivariant $K$-theory of cellular toric varieties"

    Author: V. Uma

    Journal: Accepted for publication in Fundamenta Mathematicae

    Year: 2025

  2. K-theory of Springer Varieties

    Author: Parameswaran Sankaran and V.Uma

    Journal: Tohoku Mathematical Journal

    Volume: 77 (1)

    Year: 2025

  3. Equivariant K-theory of flag Bott manifolds of general Lie type

    Author: Bidhan Paul and V. Uma

    Journal: Math. Nachrichten

    Year: 2024

  4. GKM graph locally modeled by $T^{n}\times S^{1}$-action on $T^{*}\mathbb{C}^{n}$ and its graph equivariant cohomology,

    Author: Shintar\^o Kuroki and Vikraman Uma

    Journal: Toric Topology and Polyhedral Products, Fields Institute Communications, Springer

    Volume: 89

    Page: 179-238

    Year: 2024

  5. Equivariant K-theory of Springer Varieties

    Author: V. Uma

    Journal: Topology and its Applications

    Volume: 342

    Page: 108784

    Year: 2024

  6. $K$-theory of flag Bott manifolds

    Author: Bidhan Paul and V.Uma

    Journal: Forum Mathematicum

    Volume: 36 (3)

    Page: 621-639

    DOI: https://doi.org/10.1515/forum-2023-0074

    Year: 2024

  7. Equivariant Grothendieck ring of complete symmetric varieties of minimal rank

    Author: V. Uma

    Journal: Manuscripta Mathematica

    Volume: 173 (Issue 3-4)

    Page: 1099-1121

    DOI: 10.1007/s00229-023-01495-2

    Year: 2023

  8. $K$-theory of regular compactification bundles

    Author: V. Uma

    Journal: Math. Nachrichten

    Volume: 295

    Page: 1013-1034

    Year: 2022

  9. Equivariant $K$-theory of toric orbifolds

    Author: Soumen Sarkar and V. Uma

    Journal: J. Math. Soc. Japan

    Volume: 73

    Page: 735--752

    DOI: 10.2969/jmsj/83548354

    Year: 2021

  10. $K$-theory of toric hyperK\"{a}hler varieties,

    Author: V.Uma

    Journal: Indian Journal of Pure and Applied Mathematics

    Volume: 51

    Page: 1-10

    DOI: 10.1007/s13226-019-0377-9

    Year: 2020

  11. Results on the topology of generalized real Bott manifolds

    Author: Raisa Dsouza and V. Uma

    Journal: Osaka Journal of Mathematics

    Volume: 56

    Page: 441-458

    Year: 2019

  12. Equivariant $K$-theory of quasitoric manifolds

    Author: Jyoti Dasgupta, Bivas Khan and V.Uma

    Journal: Proc. Indian Acad. Sci. (Math. Sci.

    Volume: 129:72

    Year: 2019

  13. Cohomology of torus manifold bundles

    Author: Jyoti Dasgupta, Bivas Khan, V. Uma

    Journal: Mathematica Slovaca

    Volume: 69

    Page: 685-698

    DOI: 10.1515/ms-2017-0257

    Year: 2019

  14. Equivariant $K$-theory of group compactifications:further developments

    Author: V. Uma

    Journal: Izvestiya Mathematics

    Volume: 80

    Page: 417-441

    Year: 2016

  15. The Algebraic Cobordism Ring of Toric Varieties

    Author: Amalendu Krishna and Vikraman Uma

    Journal: International Mathematics Research Notices

    Volume: 23

    Page: 5426-5464

    Year: 2013

  16. Equivariant K-theory of flag varieties revisited and related results

    Author: V. Uma

    Journal: Colloqium Mathematicum

    Volume: 132

    Page: 151-175

    Year: 2013

  17. K-theory of torus manifolds

    Author: V. Uma

    Journal: Toric Topology Contemporary Mathematics (American Mathematical Society)

    Volume: {\bf 460}

    Page: 385-389

    DOI: 10.1090/conm/460/09031

    Year: 2008

  18. Equivariant K-theory of compactifications of algebraic groups

    Author: V. Uma

    Journal: Transformation Groups

    Volume: 12

    Page: 371-406

    Year: 2007

  19. K-theory of quasi-toric manifolds

    Author: P. Sankaran and V. Uma

    Journal: Osaka J. Math.

    Volume: 44

    Page: 71-89

    Year: 2007

  20. On the fundamental group of real toric varieties

    Author: V. Uma

    Journal: Proc. Ind. Acad. Sci. (Math. Sci.)

    Volume: 114

    Page: 15--31

    Year: 2004

  21. Cohomology of toric bundles

    Author: P. Sankaran and V.Uma

    Journal: Comment. Math. Helv.

    Volume: 78

    Page: 540-554

    Year: 2003

  1. Lectures On The Structure Of Algebraic Groups And Geometric Applications

    Authors: Brion, Michel, Samuel, Preena and V. Uma

    Publisher: Hindustan Book Agency, New Delhi; Chennai Mathematical Institute (CMI), Chennai.

    Year: 2013

    Raisa Dsouza (Sole Guide) (Completed Phd in July 2018. After that Faculty of Mount Carmel College Bangalore. Currently to join as Assistant Professor in Chanakya University Bangalore)

    Jyoti Dasgupta (Primary Guide) (Completed Phd in July 2019. After that Post-Doc in IISER Pune and then Post-Doc in TIFR Mumbai. Currently Assistant Professor in IIT Dhanbad.)

    Bidhan Paul (Sole Guide) (Completed Phd in July 2023 (Got Best Thesis award by the Department). After that Post Doc in Chennai Mathematical Institute. To take up Post-Doctoal position offered at Tel-Aviv University, Israel)

    Deepak Joy (Sole Guide) (Currently in second year)

    Bivas Khan (Co-Guided) (Finished PhD in July 2019. Currently post-doc in CMI)