I am an
EPSRC postdoctoral
fellow, working in the
Mathematical Logic group
in the
Mathematical Institute,
University of Oxford.
In 2006/07 I was a Research Assistant Professor at the University of Illinois at Chicago.
My UIC website
Previously I was a DPhil student at Magdalen
College, Oxford.
Thesis: The Theory of Exponential
Differential Equations, July 2006 (pdf, 673kB)
Abstract (html, pdf, 32kB)
- The theory of the exponential differential equations of
semiabelian varieties, to appear in Selecta Mathematica (arXiv)
- On quasiminimal excellent classes, to appear in the Journal of
Symbolic Logic (arXiv)
- The uniform Schanuel conjecture over the real numbers (with
Boris Zilber), October 2004, Bull. London Math. Soc. 38 (2006),
no. 4, 568--570. (dvi, ps, pdf)
- A Schanuel condition for Weierstrass equations, Journal of
Symbolic Logic 70 (2005), no. 2, 631--638 and corrigendum: no. 3,
1023. (dvi, ps, pdf)
- Martin Bays, Jonathan Kirby, A.J. Wilkie, A Schanuel property
for exponentially transcendental powers, submitted, October 2008
(arXiv)
- Exponential algebraicity in exponential fields, submitted, October
2008 (arXiv)
- Abstract elementary categories, July 2008, a note giving a
possible definition (pdf)
- Exponential fields: notes for the Oxford Advanced Logic Class,
May 2008 (in progress) (pdf)
- Variants of Schanuel's Conjecture, September 2007 (pdf)
[An expository article with no proofs]
- The text for my poster Uniformities in Schanuel conditions,
presented at the workshop Model theory, algebraic and analytic
geometry, Isaac Newton Institute, Cambridge, 11 July to 15 July 2005
(pdf)
- Exponential and Weierstrass Equations, September 2005
with minor corrections, January 2006 (pdf)
- Complex Exponentiation and Zilber's
Pseudo-exponentiation, Berkeley Logic Colloquium, 3rd April 2009
(pdf)
- Raising to generic powers, Final Modnet meeting,
Barcelona, 3rd November 2008
(pdf)
- The Geometry of Schanuel's Conjecture, Modnet meeting on
the Model Theory of Fields, CIRM, Luminy, 15th November 2007
(pdf)
- On Quasiminimal Excellent Classes, Special session on
non-elementary classes, AMS meeting, Chicago, 5th October 2007
(pdf)
- Exponential Differential Equations for Semiabelian
Varieties, Differential algebra meeting, Leeds, 9th June 2007
(pdf)
- Categoricity for Quasiminimal Excellent Classes, UC
Berkeley, 21st May 2007 (pdf)
- Blurred Complex Exponentiation, ASL Annual Meeting,
Gainesville, March 2007 (pdf)
- Dimension theory and differential equations given at
Paris 7, 30th January 2006 and Lyon 1, 2nd February 2006 (pdf)
- British Logic Colloquium talk, Bristol, 2nd September 2005 (pdf)
- Logic Colloquium, Athens on 31st July 2005 (pdf)
- Exponential and Weierstrass equations
given at the Isaac Newton Institute workshop on 8th April 2005 (pdf)
