Philipp Gerhardy
Contact information:
Department of Mathematics
The University of Oslo
Blindern
N-0316 Oslo
Norway
Telephone: (+47) 22 85 72 24
Email: Philipp [dot] Gerhardy [at] gmail [dot] com
I am no longer employed in academia! I used to be a postdoc at the
Department of Mathematics at the
University of OsloLogic and Computability
group. If you want to relive my illustrous academic career, here
is a link to my Curriculum Vitae(ps,pdf).
Publications:
- Improved Complexity Analysis of Cut Elimination and Herbrand's
Theorem. Master's thesis, 2003.(ps,pdf)
- Refined Complexity Analysis of Cut Elimination. Final version in:
M. Baaz, J.A. Makowsky(eds), Proc. of 17th International Workshop CSL
2003, pp. 212-225, Springer LNCS 2803. (ps,pdf)
- Extracting Herbrand Disjunctions by Functional Interpretation
(with Ulrich Kohlenbach). Final version in: Arch. Math. Logic,
vol. 44, pp. 633-644 (2005). (ps,pdf)
- The Role of Quantifier Alternations in Cut Elimination. Final
version in: Notre Dame Journal of Formal Logic, vol. 46, no. 2,
pp. 165-171 (2005). (ps,pdf)
- Strongly uniform bounds from semi-constructive proofs (with
Ulrich Kohlenbach). Final version in: Annals of Pure and Applied
Logic, vol.141, pp.89-107(2006). (ps,pdf)
- A quantitative version of Kirk's fixed point theorem for
asymptotic contractions. Final version in: Journal of Mathematical
Analysis and Applications, vol. 316, no.1, pp. 339-345 (2006). (ps,pdf)
- General logical metatheorems for functional analysis (with Ulrich
Kohlenbach). Final version in: Trans. Am. Math. Soc. 360,
pp. 2615-2660 (2008). (ps,pdf)
- PhD-thesis, 2006. 2nd corrected version. (ps,pdf)
- Functional interpretation and modified realizability
interpretation of the double-negation shift. Final version in local
proceedings of CiE 2006. (ps,pdf)
- Local stability of ergodic averages (with Jeremy Avigad and Henry
Towsner). Final version in: Trans. Am. Math. Soc. 362, pp. 261-288
(2010), draft (arXiv).
- Proof mining in topological dynamics. Final version in: Notre
Dame Journal of Formal Logic, vol. 49, no. 4, pp. 431-446 (2008). (ps,pdf)
- Proof mining in Practice. To appear in: Proc. of Logic Colloquium
2007, Wroclaw. (ps,pdf)
- Skolem + tetration is well-ordered (with Mathias Barra). To
appear in: Proc. of CiE 2009.
Slides to some of my talks are available here.