tomoCAM is a tomographic reconstruction software that leverages advanced mathematical techniques and user-accessible GPU-based computing. tomoCAM reformulates the fundamental operators in MBIR using Non-Uniform Fast Fourier Transforms (NUFFTs), thus computing them significantly faster than traditional methods. Additionally, tomoCAM leverages advanced GPU acceleration strategies, including asynchronous transfers facilitated by a two-tier data partitioning scheme. These innovations allow tomoCAM to perform MBIR in a fraction of the time compared to traditional MBIR codes while only requiring modest and commonly available computing resources. Furthermore, tomoCAM has a Python front-end, which provides access from Jupyter-based frameworks, enabling straightforward integration into existing workflows at synchrotron facilities.