  Recent progress towards realizing the Electron-Ion Collider (EIC) that was
announced in 2020 to be built at Brookhaven National Laboratory (BNL) in the
United States has revived interests in the deep-inelastic-scattering (DIS) data
taken from $ep$ collisions at Hadron-Electron Ring Accelerator (HERA). The H1
detector equipped with tracking and fully instrumented calorimeter detectors in
its hermetic and asymmetric design is well suited for jet and event shape
measurements. Proposed measurements involving jets, global events shapes and
correlations in DIS for HERA and EIC focus on the three-dimensional description
of nucleon structure and hadronization and their their flavor dependence as
well as precision measurements for QCD and BSM. This contribution presents
recent results on the lepton-jet azimuthal decorrelation and the 1-jettiness
event shape measurements performed using the DIS data at high $Q^2$ taken with
the H1 detector at HERA.
