Dr. K. Saloni
Pradeep  
Dr. K. Saloni
Assistant Professor
Ph.D., Indian Institute of Technology Guwahati
Ph: +91-612-302 8121
Fax: +91-612-227 7383
ksaloni[*AT]iitp.ac.in
Personal Webpage: https://sites.google.com/view/kumari-saloni/home
Research Areas : Commutative Algebra
Courses taught at IITP :

Teaching now:

  • MA424 (Complex Analysis)
  • MA002 (Preparatory Math II)
Professional Experience :
  • NBHM Post-doctoral Fellow at Chennai Mathematical Institute, Sep-Dec 2019.
  • Visiting Fellow at Chennai Mathematical Institute, July 2017- Aug 2019
Awards & Fellowships :
  • Support under “Step up Researchers grant” for a short research visit to Yamaguchi University, Japan, Nov 2019.
  • NBHM Post-doctoral fellowship by Dept. of Atomic energy, Govt. of India, 2019.
  • IRTATCA research program of Centre de Recerca Matemàtica, Barcelona, Spain, Feb 2015.
  • SERB-DST travel grant, May 2017.
  • NBHM travel grant, 2017.
  • GATE Exam, 2010
  • Secured UGC-JRF, NET Exam, Dec 2014
  • Jan-2013 -Dec-2015, Senior Research Fellowship, Dept. of Mathematics, IIT Guwahati.
  • Jan 2011-Jan 2013, Junior Research Fellowship, Dept. of Mathematics, IIT Guwahati.
  • Visiting Student Research Program (VSRP), TIFR, 2009.
Research Visits :
  • Yamaguchi University, Nov, 2019.
  • University of Genoa, Italy, July 6-July 31, 2019.
  • The Institute of Mathematical Sciences, Chennai, Sep 15- Oct 17, 2014.
  • Chennai Mathematical Institute, Chennai, Jun 1-20, 2014.
Publications :
  • Bounding Hilbert coefficients of parameter ideals, (with Anupam Saikia), J. Algebra,  Vol 501 (2018), 328-344.
  • On Hilbert coefficients of parameter ideals and Cohen-Macaulayness, J. Commutative Algebra, Vol 10, no. 3 (2018), 393-410.
  • On the finiteness of the set of Hilbert coefficients, (with Shreedevi K. Masuti),  J.  Commutative  Algebra, Vol  11, no. 4 (2019), 573-604.
  • On the Buchsbaumness of the associated graded rings of filtrations, Submitted.
Presentations :

Research Talks:

  • “Bounding Hilbert coefficients”, University of Genoa, Italy, July 2019.
  • Three lectures on “Koszul Algebras: A motivation”, Commutative Algebra Seminar, CMI,  Oct, 2019.
  • Three lectures on “Integral closure of ideals and annihilators of koszul homology modules”, Commutative Algebra  Seminar, CMI, Aug 2018.
  • Three lectures on “Almost Gorenstein rings”, Commutative Algebra Seminar, CMI, Oct 2017.
  • Introduction to module theory, Research Scholar’s Seminar, IIT Guwahati, 2016.
Conference :
  • “Bounding Hilbert coefficients, The 41st Japan Symposium on Commutative Algebra, Kurashiki, Japan, Nov 2019.
  • Bounding Hilbert coefficients of parameter ideals, National conference on Commutative Algebra and Algebraic Geometry (CAAG)-2017, IISER Pune, Dec 2017.
  • Bounding Hilbert coefficients of parameter ideals, AMS Sectional meeting, City University of New-York, USA, May 2017.
  • On Hilbert coefficients of parameter ideals and Cohen-Macaulayness, ATM Workshop on Local Cohomology, St. Joseph College, Kerala , June 2016.
  • On Hilbert coefficients of parameter ideals and Cohen-Macaulayness (Poster presentation), Indian Women and Mathematics: Regional Workshop, IIT Guwahati, Feb 2016.
  • Bounding the first Hilbert coefficients of modules relative to m-primary ideals, Workshop on Indian women and Mathematics, University of Delhi, April 2015.
  • On the finiteness of the set of Hilbert coefficients of modules, International conference on frontiers in Mathematics, Gauhati University, March, 2015.
  • Finiteness of the set of the first Hilbert coefficients relative to m- primary ideals, National Conference on Commutative Algebra and Algebraic Geometry(CAAG), IIT Guwahati, Feb 2015.