Rahul Ajit

collaborators

6 papers

cs.CV2026

Never Look Back: Understanding Persistence in 3D Object Memory from Egocentric Videos

Shravan Chaudhari, William Paul, Suchi Saria +2

As we move through the world and carry out everyday tasks, we encounter objects that may become relevant only later. We are capable of recalling where we left something or what was…

math.AG2026

Bertini theorems for Hilbert-Samuel multiplicity over finite fields

Rahul Ajit, Matthew Bertucci

Let $X$ be a quasiprojective subscheme of $P_{F_{q}}^{n}$ . We prove a Bertini theorem for Hilbert--Samuel multiplicity of $X$ ; that is, there exists a positive-densit…

math.AG2026

$F$ -jumping numbers can be irrational

Rahul Ajit

Let $k$ be an $F$ -finite and infinite field of characteristic $p > 2$ . We show, there exist infinitely many $F$ -finite local domains $(R, m)$ which are not $Q$ -Gor…

math.AG2025

On a Grauert-Riemenschneider vanishing theorem in dimension 3

Rahul Ajit

Suppose $R$ is an excellent ring of dimension $3$ and has rational singularities. Let $π : X ⟶ Spec R$ be a blow-up and $ϕ : W ⟶ X$ be any proje…

math.AG2025

Multiplier Modules of extended Rees algebras

Rahul Ajit

Given a local ring $(R, m)$ and an ideal $a$ of positive height, we give a way of computing multiplier module $J (ω_{T}, t^{- λ})$ for the extended Rees algeb…

math.AC2025

Test Modules of Extended Rees Algebras

Rahul Ajit, Hunter Simper

Given a reduced, local ring $R$ and an ideal $a$ of positive height, we give a decomposition of the test module, $τ (ω_{T}, t^{- λ})$ , of the extended Rees algebra, $T =R[\m…

Never Look Back: Understanding Persistence in 3D Object Memory from Egocentric Videos

Bertini theorems for Hilbert-Samuel multiplicity over finite fields

F-jumping numbers can be irrational

On a Grauert-Riemenschneider vanishing theorem in dimension 3

Multiplier Modules of extended Rees algebras

Test Modules of Extended Rees Algebras

$F$ -jumping numbers can be irrational