Dr Ivan Tomasic
Reader in Pure Mathematics
School of Mathematical Sciences
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 Theory
2022
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
Galois stratification and ACFATOMASIC I Annals of Pure and Applied Logic 31-01-2015 2013
A twisted theorem of ChebotarevTOMASIC I Proc. London Math. Soc.,
Oxford Journals vol. 2013
01-01-2013 2011
Twisted Galois stratificationTomasic I Cr Math vol. 349 (15-16), 827-830.
01-08-2011 On braided zeta functionsTOMASIC I and
Majid S Bull. Math. Sci. vol. 1 (2), 379-396.
01-01-2011 2009
Fields with measure and automorphismTomasic I B Lond Math Soc vol. 41, 429-440.
01-06-2009 A twisted theorem of ChebotarevTomasic I Cr Math vol. 347 (7-8), 385-388.
01-04-2009 2006
Independence, measure and pseudofinite fieldsTomasic I Sel Math-New Ser vol. 12 (2), 271-306.
01-01-2006 2005
ACFA and measurabilityRyten M and
Tomasic I Sel Math-New Ser vol. 11 (3-4), 523-537.
01-01-2005 2004
A new Weil cohomology theoryTomasic I B Lond Math Soc vol. 36, 663-670.
01-09-2004 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 Theory
Toward a cohomology of theoriesIvan Tomasic£80,860
EPSRC Engineering and Physical Sciences Research Council01-09-2024 - 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 Council01-01-2022 - 30-09-2025
EPSRC small grant - Stability in Model Theory and Category TheoryIvan Tomasic£80,612
EPSRC Engineering and Physical Sciences Research Council01-04-2023 - 31-03-2024
