Personal 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

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
Research directions

Current Research Interests

Three areas I am currently exploring at the intersection of algebra, geometry, and combinatorics.

Neural algebra

Neural Ideals

Studying the algebraic and combinatorial structure of neural codes through their associated ideals, relations, and receptive-field patterns.

Research overview
Commutative algebra

Containment Problems

Exploring containments between ordinary, symbolic, and rational symbolic powers of ideals and their connections to algebraic invariants.

Research overview
Graphs & ideals

Binomial Edge Ideals

Investigating graph-associated binomial ideals and the relationships between the structure of a graph and algebraic properties of its ideal.

Research overview
Teaching · Fall 2026

Teaching at UTRGV

My current undergraduate mathematics courses at the University of Texas Rio Grande Valley.