Associate professor in the Logic and Semantics Group, Dept. of Computer Science, Aarhus University.

Office: Nygaard-268 Aabogade 34 DK-8200 Aarhus N, Denmark. e-mail

- Computer aided proofs in cryptography
- Logic, semantics and (homotopy) type theory
- Proof assistants and their applications
- Logical and categorical foundations of physics

Publications

2015: Associate professor at CMU working on the MURI grant Homotopy Type Theory: Unified Foundations of Mathematics and Computation

and Aarhus in the Logic and Semantics Group.

2014: Visiting positions at LRI Paris-Sud, IHP, PPS Paris-7, Gotheburg Computing Science.

2013: Member of the Institute for Advanced Studies for the special year on univalent foundations.

2010-2013: Leading the Nijmegen contribution to the ForMath project, as well as Work Package 4: formalization of exact analysis. (The project got an "excellent" mark.)

PCs:

- Mathematics: Algorithms and Proofs (MAP07(report), MAP11(report)) MAP14, MAP16
- Computability and Complexity in Analysis (CCA08)
- Mathematical Logic in the Netherlands (MLNL09, MLNL10)
- Coq workshop (Coq-2, Coq-3, Coq-4, Coq-7 (2015)), 2018
- Workshop on Logic, Language, Information and Computation (WoLLIC11)
- Interactive Theorem Proving (ITP2012, ITP2014))
- Quantum Physics and Logic (QPL-11, QPL-12, QPL-13, QPL-14, QPL-15)
- Higher Dimensional Algebra, Categories and Types (HDACT)
- Certified Programs and Proofs (CPP13, CPP18)
- Calculemus 15
- TYPES2015
- Formal Structures for Computation and Deduction (FSCD17)
- CICM19
- Formal Methods for Blockchains

Homotopy Type Theory and Univalent Foundations - Mini-Symposium at DMV 2015.

CIRM workshop: Computable Analysis: Foundations, Implementation and Certification.

The constructivenews-list.

2018-2021: AFOSR grant: Homotopy type theory and probabilistic computation, 540kUSD. The goal of the project is to apply homotopy type theory to probabilistic programming and to develop theory and tools for computer aided proofs in security.

2015-2019: Villum Foundation: Guarded Homotopy Type Theory. With Lars Birkedal we received 3.3 Mkr from the Villum Foundation for a research project on Guarded Homotopy Type Theory. The goal of the project is to develop new theories for and prototypes of proof assistants, which can be used within both mathematics and computer science.

Previous grants:

DIAMANT researcher.

VENI `Reasoning and Computing' of the dutch science foundation NWO.

Sabine Oechsner

Evgeny Makarov (2013)

Jakob Botsch Nielsen (2019-2023)

Andreas Aagaard Lynge (2019-2022)

SÃ¸ren Eller Thomsen (2018-2021)

Martin Bidlingmaier (2018-2021)

Russell O'Connor Incompleteness and Completeness Formalizing Logic and Analysis in Type Theory (2005-2008).

Egbert Rijke (2012-2013).

Eelis van der Weegen (2010-2011).

In 2015 I taught a PhD-course on Homotopy type theory: Univalent Foundations of Mathematics.

Teaching Seminar on simplicial methods (2012)

PGP