Dr Ivan Tomasic
Reader in Pure Mathematics
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
Model theory, Categorical logic, Topos theory, Algebraic geometry, Difference algebra, Differential algebra
Interests
I study the interactions of Logic (both Model Theory and Categorical Logic) and Algebraic Geometry through a long-term research programme of developing Relative Algebraic Geometry over a base topos, with a particular emphasis on applications of Topos Theory and Category Theory in Difference and Differential Algebra.Publications
Publications of specific relevance to the Centre for Combinatorics, Algebra and Number Theory2022
Difference Galois theory and dynamicsTomašić I and Wibmer M
Advances in Mathematics, Elsevier Bv vol. 402, 108328-108328.
22-03-2022
Graphons arising from graphs definable over finite fieldsDžamonja M and Tomašić I
Colloquium Mathematicum, Institute of Mathematics, Polish Academy of Sciences vol. 169 (2), 269-305.
01-01-2022
2018
Strongly étale difference algebras and Babbitt’s decompositionTOMASIC I and Wibmer M
Journal of Algebra, Elsevier
26-02-2018
Direct twisted Galois stratificationTomašić I
Annals of Pure and Applied Logic, Elsevier Bv vol. 169 (1), 21-53.
01-01-2018
2016
TWISTED GALOIS STRATIFICATIONTOMAŠIĆ I
Nagoya Mathematical Journal, Cambridge University Press (Cup) vol. 222 (1), 1-60.
13-05-2016
Model TheoryTomašić I
In Algebra, Logic and Combinatorics, World Scientific Publishing 139-175.
20-04-2016
2015
2013
A twisted theorem of ChebotarevTOMASIC I
Proc. London Math. Soc., Oxford Journals vol. 2013
01-01-2013
2011
2009
2006
Independence, measure and pseudofinite fieldsTomasic I
Sel Math-New Ser vol. 12 (2), 271-306.
01-01-2006
2005
2004
Exponential sums in pseudofinite fields and applicationsTomasic I
Illinois J Math vol. 48 (4), 1235-1257.
01-01-2004
Constructing an almost hyperdefinable groupBen-Yaacov I, Tomasic I and Wagner F
Journal of Mathematical Logic vol. 4 (2), 181-212.
01-01-2004
2003
Applications of the group configuration theorem in simple theoriesTOMASIC I and Wagner FO
Journal of Mathematical Logic vol. 3, 239-255.
01-11-2003
The equality S1=D=RGrossberg R, Kolesnikov A, Tomasic I and Van Dieren M
Math Logic Quart vol. 49 (2), 115-128.
01-01-2003
2002
The group configuration in simple theories and its applicationsBen-Yaacov I, Tomasic I and Wagner FO
B Symb Log vol. 8 (2), 283-298.
01-06-2002
Grants
Grants of specific relevance to the Centre for Combinatorics, Algebra and Number TheoryToward a cohomology of theoriesIvan Tomasic
£80,860 EPSRC Engineering and Physical Sciences Research Council
01-09-2024 - 31-08-2025
Model theoretic and topos theoretic view of difference algebra and applications to dynamicsIvan Tomasic and Behrang Noohi
£473,594 EPSRC Engineering and Physical Sciences Research Council
01-01-2022 - 30-09-2025
EPSRC small grant - Stability in Model Theory and Category TheoryIvan Tomasic
£80,612 EPSRC Engineering and Physical Sciences Research Council
01-04-2023 - 31-03-2024