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A search for excited electrons produced in $pp$ collisions at $\sqrt{s} = 13$TeV via a contact interaction $q\bar{q} \to ee^*$ is presented. The search uses36.1 fb$^{-1}$ of data collected in 2015 and 2016 by the ATLAS experiment atthe Large Hadron Collider. Decays of the excited electron via a contactinteraction into an electron and a pair of quarks ($eq\bar{q}$) are targeted infinal states with two electrons and two hadronic jets, and decays via a gaugeinteraction into a neutrino and a $W$ boson ($\nu W$) are probed in finalstates with an electron, missing transverse momentum, and a large-radius jetconsistent with a hadronically decaying $W$ boson. No significant excess isobserved over the expected backgrounds. Upper limits are calculated for the $pp\to ee^* \to eeq\bar{q}$ and $pp \to ee^* \to e\nu W$ production cross sectionsas a function of the excited electron mass $m_{e^*}$ at 95% confidence level.The limits are translated into lower bounds on the compositeness scaleparameter $\Lambda$ of the model as a function of $m_{e^*}$. For $m_{e^*} <0.5$ TeV, the lower bound for $\Lambda$ is 11 TeV. In the special case of$m_{e^*} = \Lambda$, the values of $m_{e^*} < 4.8$ TeV are excluded. Thepresented limits on $\Lambda$ are more stringent than those obtained inprevious searches.

Search for excited electrons singly produced in proton-proton collisions at $\sqrt{s} = 13$ TeV with the ATLAS experiment at the LHC