The tunability of anomalous Hall and Nernst conductivities is investigated in the compensated ferrimagnet ${\mathrm{Mn}}_3\mathrm{Al}$ under isotropic strain $\left(\eta \right)$ and chemical potential variation using first-principles calculations. At a chemical potential of $\mu =-0.3\mathrm{eV}$, three distinct topological features—Weyl points, nodal lines, and gapped nodal lines—are simultaneously realized along high-symmetry directions of the Brillouin zone in the framework of magnetic space groups. The anomalous Hall conductivity is found to be predominantly governed by the Berry curvature in the $k_y{k}_z$ plane and can be enhanced significantly under tensile strain, reaching $-1200$ ${\left(\mathrm{\Omega }\mathrm{cm}\right)}^{-1}$. On the other hand, the anomalous Nernst conductivity shows a sign change near the Fermi level and whose magnitude increases at $\mu =-0.3\mathrm{eV}$ with quasiquadratic strain dependence. Regardless of strain, the underlying bands and Fermi-surface structures remain robust, while the distribution and magnitude of Berry curvature evolve substantially. These results underscore the potential of ${\mathrm{Mn}}_3\mathrm{Al}$, a compensated ferrimagnet, as a platform for Berry curvature engineering via strain and doping.

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• Anomalous Hall effect
• Crystal structure
• Crystal symmetry
• Electronic structure
• Fermi surface
• Ferrimagnetism
• First-principles calculations
• Magnetism
• Spin-orbit coupling
• Spintronics
• Thermal conductivity
• Ferrimagnets
• Half-metals
• Heusler alloy
• Metals
• Density functional theory