From the Structure of the Proton and Heavy Ions, the Discovery of the Odderon, to the Search for Axion-Like Particles at the Large Hadron Collider

After describing elastic interactions and the discovery of the odderon, by the TOTEM and D0 Collaborations, we will discuss a new regime where the gluon density in the proton or Pb can be very large which leads to new equations in Quantum Chromodynamics. 
We will also present the latest expectations on beyond standard model physics and especially the production of axion-like particles using intact protons after the collision. We will finish by describing briefly the Low Gain Avalanche Detectors and their applications in medicine for cancer treatment and with NASA to measure cosmic rays.