Research
Research interests and current directions.
Research Interests
- ● Interpolation problems and symbolic powers of ideals: My current interest revolves around this, which associates Chudnovsky's Conjecture and Demailly's Conjecture.
- ● Rational powers of ideals: A recent few papers draw my attention towards this area, and it seems interesting.
- ● Vasconcelos number (v-number) of ideals: This relatively new concept has some similar properties with the well known initial degree of an ideal, and it's growing fast.
Ongoing Projects
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v-numbers for ideals defining pointsWe are investigating v-numbers on ideals defining points.
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k-ConfigurationsWe are investigating k-Configurations.
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InterpolationI am investigating non-homogeneous fat-points.
Preprints/Publications
Manuscripts in preparation and under review
(newest first).
(newest first).
2025
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Rational symbolic powers of ideals
2024
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Demailly’s Conjecture for general and very general points