Alex Pieloch

activity

20142025

most citedPersistent homology analysis of brain artery trees

2 citations · 3 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.SG2025

Homotopy rigidity of nearby Lagrangian cocores

Johan Asplund, Yash Deshmukh, Alex Pieloch

An exact Lagrangian submanifold $L \subset X^{2 n}$ in a Weinstein sector is called a nearby Lagrangian cocore if it avoids all Lagrangian cocores and is equal to a shifted Lagrangi…

math.SG2024

Spectral equivalence of nearby Lagrangians

Johan Asplund, Yash Deshmukh, Alex Pieloch

Let $R$ be a commutative ring spectrum. We construct the wrapped Donaldson--Fukaya category with coefficients in $R$ of any stably polarized Liouville sector. We show that any two…

math.SG2022

Fundamental groups of rationally connected symplectic manifolds

Alex Pieloch

We show that the fundamental group of every enumeratively rationally connected closed symplectic manifold is finite. In other words, if a closed symplectic manifold has a non-zero…

math.SG2021★ 1 cited

Sections and unirulings of families over $P^{1}$

Alex Pieloch

We consider morphisms $π : X \to P^{1}$ of smooth projective varieties over $C$ . We show that if $π$ has at most one singular fibre, then $X$ is uniruled and $π$ adm…

Homotopy rigidity of nearby Lagrangian cocores

Spectral equivalence of nearby Lagrangians

Fundamental groups of rationally connected symplectic manifolds

Sections and unirulings of families over P1

Sections and unirulings of families over $P^{1}$