Ollie Thakar

activity

20232026

collaborators

3 papers

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…

math.GT2023

Left-orderable surgeries on the knot $6_{2}$ via hyperbolic $P S L (2, R)$ -representations

Ollie Thakar

We introduce a new method of detecting when the fundamental group of a Dehn surgery on a knot admits a left-ordering, a method which is particularly useful for 2-bridge knots. As a…

Entropy-Minimizing Diffeomorphisms on a G2​-Manifold

The moduli space of multi-monopoles on a Riemann surface

Left-orderable surgeries on the knot 62​ via hyperbolic PSL(2,R)-representations

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

Left-orderable surgeries on the knot $6_{2}$ via hyperbolic $P S L (2, R)$ -representations