Ollie Thakar

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20232026

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math.DG2026

Entropy-Minimizing Diffeomorphisms on a $G_{2}$ -Manifold

Ollie Thakar

In this paper, we construct infinitely many diffeomorphisms of a Joyce manifold $M$ which achieve Yomdin's homological lower bound for topological entropy, imitating a recent const…

math.DG2025

The moduli space of multi-monopoles on a Riemann surface

Ollie Thakar

We study the moduli space of solutions to the Seiberg-Witten equations with $N$ spinors on a compact Riemann surface. These moduli spaces arise in a program to define a new enumera…

Entropy-Minimizing Diffeomorphisms on a G2​-Manifold

The moduli space of multi-monopoles on a Riemann surface

Entropy-Minimizing Diffeomorphisms on a $G_{2}$ -Manifold