Some examples of my past and current work:

Extraction and analysis of non-purgeable organic carbon δ¹³C and ¹⁴C
I have developed a simple, rapid, and low contamination method that allows the isotopic analysis of very small amounts of organic carbon present in carbonate matrices. The method is based on wet chemical oxidation, but includes additional steps for sample preparation and purification, and the removal of the inorganic carbon matrix.
Find our paper here.

Carbonate ¹⁴C as chronological tool
Classical ¹⁴C dating is generally not applicable to terrestrial carbonates due to the reservoir effect introduced by the dissolution and re-precipitation of a ¹⁴C-dead bedrock. However, we can use the decay pattern of ¹⁴C in the archive to derive a simple age model that takes into account variations in the atmospheric ¹⁴C content, and detects and includes changes in growth rate and growth stops.
Read more about our study here.
The software “star” I developed with Dr. Jens Fohlmeister (PIK Potsdam) is available for download here.

¹⁴C reservoir effect as a palaeoenvironmental proxy
We can use variations in the ¹⁴C reservoir effect (i.e, the difference between the stalagmite ¹⁴C value and atmospheric value at the time of deposition) to infer on carbonate weathering intensity, local infiltration, and/or soil turnover dynamics.
Here is a handy R code that helps you calculate the DCF.