Associate professor in
the Logic and
Semantics Group, Dept. of Computer Science, Aarhus University.
Office: Turing 223
Aabogade 34 DK-8200 Aarhus N, Denmark.
- Computer aided proofs in cryptography
- Logic, semantics and (homotopy) type theory
- Proof assistants and their applications
- Logical and categorical foundations of physics
Since April 2015: Associate professor, Aarhus University
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.)
Organization: PhDay'01, Constructive mathematics, types and exact real numbers, DIAMANT-day '05,
Brouwer seminar (from 2004 to 2007), MAP07,
Sheaves in Geometry and Quantum Theory, MLNL09, QPL-11, Coq-workshop 2011, MAP11, Type Theory And Formalization Of Mathematics
- 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
- 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
- Formal Structures for Computation and Deduction (FSCD17)
Homotopy Type Theory and Univalent Foundations - Mini-Symposium at DMV 2015.
CIRM workshop: Computable Analysis: Foundations, Implementation and Certification.
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.
VENI `Reasoning and Computing' of the dutch science foundation NWO.
Egbert Rijke (2012-2013).
Eelis van der Weegen (2010-2011).
Russell O'Connor Incompleteness and Completeness Formalizing Logic and Analysis in Type Theory (2005-2008).
In 2015 I taught a PhD-course on Homotopy type theory: Univalent Foundations of Mathematics.
Teaching Seminar on simplicial methods (2012)