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Rational symbolic powers of ideals
A framework combining symbolic powers and rational powers, with connections to containments and convex-geometric methods.
Explore the preprintPersonal Bio
Welcome to my Personal Website.
Hi... I am Dipendranath Mahato (দীপেন্দ্রনাথ মাহাতো), aka. DIPEN.
Current Appointment: Lecturer at University of Texas Rio Grande Valley, Edinburg, Texas.
I completed my Ph.D. in Mathematics at Tulane University under the supervision of Prof. Tài Huy Hà. My research is broadly situated in commutative algebra, algebraic geometry, and combinatorial algebra.
Research Interests
- Symbolic and Rational Symbolic Powers of Ideals
- Fat-point Schemes & Interpolation
- Invariants of Ideals
- Neural Ideals
- Matroid Association to Commutative Algebra
- Algebraic Coding with Commutative Algebra
Professional Memberships
MAA logo: Kmorrismaa / CC BY-SA 4.0. Logos link to their respective societies; membership does not imply their endorsement.
My Elevator Pitch Video
Favorite Quote
“Pure mathematics is, in its way, the poetry of logical ideas.” — Albert Einstein
“The formulation of a problem is often more essential than its solution.” — Albert Einstein
From research to the classroom
Selected work & learning resources
A few starting points for exploring the mathematics I study and teach.
Demailly’s conjecture & projective points
Lower bounds and interpolation questions for general and very general points in projective space.
Explore the preprintInteractive Calculus I notes
Definitions, visual demonstrations, guided examples, and practice with explanatory feedback, alongside original lecture notes.
Explore the learning material