This is the 9556th most frequent Polish word.
wołodymyrem
"Wołodymyrem" is the instrumental case of the name "Wołodymyr," which is the Polish form of "Volodymyr," a Slavic male given name.
Here, 'Wołodymyrem' refers to the instrumental case of the name Wołodymyr, indicating 'with Wołodymyr'.
Spotkałem się wczoraj z Wołodymyrem.
I met Wołodymyr yesterday.
The use of 'Wołodymyrem' in instrumental case denotes that the action (‘being on a project’) was done in cooperation with That person.
Byłem na wspólnym projekcie z Wołodymyrem.
I was on a joint project with Wołodymyr.
'Wołodymyrem' is again in the instrumental case, showing that the conversation involved this particular person.