Philipp Hieronymi, Department of Mathematics, University of Illinois at Urbana-Champaign

Dr. Philipp Hieronymi

J.L. Doob Research Assistant Professor

Office: Room 327, Illini Hall
E-mail: x@y.de - where x is the first letter of my first name and y is my surname.
Phone: 217-244-3048

My research in logic focuses on ordered structures and their potential applications in analysis and geometry. More details...

'Defining the set of integers in expansions of the real field by a closed discrete set',
Proc. Amer. Math. Soc. 138 (2010) 2163-2168, arXiv:0906.4972
'The real field with the rational points of an elliptic curve', with Ayhan Günaydin,
Fund. Math. 211 (2011) 15-40, arXiv:0906.0528
'Dependent pairs', with Ayhan Günaydin,
J. Symb. Logic (2) 76 (2011) 377-390, arXiv:1003.5025
'The real field with an irrational power function and a dense multiplicative subgroup',
J. London Math. Soc. (2) 83 (2011) 153-167, doi: 10.1112/jlms/jdq058,
'Expansions of subfields of the real field by a discrete set',
Fund. Math. 215 (2011) 167-175, arXiv:1012.3508
'Expansions which introduce no new open sets', with Gareth Boxall,
J. Symb. Logic (1) 77 (2012) 111-121, arXiv:1002.3762
'A dichotomy for expansions of the real field', with Antongiulio Fornasiero and Chris Miller,
Proc. Amer. Math. Soc. to appear, arXiv:1105.2946
'An analogue of the Baire Category Theorem',
J. Symb. Logic to appear, arXiv:1101.1194
DPhil Thesis, 'The real field with an irrational power function and a dense multiplicative subgroup',
ORA, Nov. 2008

'Interpreting the projective hierarchy in expansions of the ordered set of real numbers', with Michael Tychonievich, pdf

DPhil, University of Oxford, 2008,
DAAD Postdoctoral Fellow at McMaster University and the Fields Institute, 2009,
J.L. Doob RAP at the University of Illinois at Urbana-Champaign, since January 2010