Wiese became a member of the Bundestag in the 2013 German federal election, representing the Hochsauerlandkreis district.[2]
In parliament, Wiese has served as a member of the Committee on Food and Agriculture (2014-2015, 2018–2020), the Committee on Legal Affairs and Consumer Protection (2014-2017); the Subcommittee on the United Nations, International Organizations and Globalization (2014-2017); and the Committee on Economic Affairs and Energy (2015-2017).[3] Since 2014, he has been an alternate member of the parliamentary body in charge of appointing judges to the Highest Courts of Justice, namely the Federal Court of Justice (BGH), the Federal Administrative Court (BVerwG), the Federal Fiscal Court (BFH), the Federal Labour Court (BAG), and the Federal Social Court (BSG).
In addition to his committee assignments, Wiese has been chairing the German-Indian Parliamentary Friendship Group since 2018. He is also part of a cross-party group in support of Schützenverein culture.[4]
Within his parliamentary group, Wiese has been serving as one of the three speakers of the Seeheim Circle since 2018. Since 2020, he has been serving as one of his parliamentary group's deputy chairpersons, under the leadership of chairman Rolf Mützenich. Since 2023, he has also been leading the Bundestag group of SPD parliamentarians from North Rhine-Westphalia, the largest delegation within the party’s parliamentary group, alongside Wiebke Esdar.[5]