Research Interests
My main research interests are algorithmic aspects of analysis and topology. Even though classical existence results are often reasonably simple to prove, their proofs mostly do not contain any information of how to actually find these objects. The subtleties and intricacies of giving constructive content in analytical and topological theorems is therefore a valuable task, especially if one is interested in the implementation of those results.
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Recent Publications
- Diener H. and Hendtlass M. (2019)听(Seemingly) Impossible Theorems in Constructive Mathematics.听arXiv.
- Diener H. and Lubarsky RS. (2019) Weakenings of Cauchy convergence. In听12th International Conference on Computability and Complexity in Analysis, CCA 2015 - Proceedings: 16-17.
- Diener H. (2018)听Constructive Reverse Mathematics (Habilitationsschrift).听Siegen, Germany: Universit盲t Siegen.
- Diener H. and Hendtlass M. (2018)听Bishop鈥檚 Lemma.听Mathematical Logic Quarterly 64 1-2: 49-54.听.
- Diener H. and Hendtlass M. (2018)听The Third Trick.听arXiv.
