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| 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 |
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| Research Areas |
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Commutative Algebra |
| Courses taught at IITP |
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Teaching now:
- MA424 (Complex Analysis)
- MA002 (Preparatory Math II)
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| Professional Experience |
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- NBHM Post-doctoral Fellow at Chennai Mathematical Institute, Sep-Dec 2019.
- Visiting Fellow at Chennai Mathematical Institute, July 2017- Aug 2019
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| Awards & Fellowships |
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- 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.
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| Research Visits |
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- 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.
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| Publications |
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- 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.
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| Presentations |
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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.
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| Conference |
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- “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.
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