I am currently a Van Vleck assistant professor at University of Wisconsin - Madison.
I used to be a PhD student in the Department of Mathematics at
Ben Gurion University of the Negev.
My thesis advisers were Dr. Assaf Hasson and Prof. Menachem Kojman.
E-mail: omer AT math.wisc.edu
Office Phone: +1 (608)-263-3714
UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, WI 53706
My CV is available here.
Spring 2020 - Math 776: Model Theory (website)
Fall 2019 - Math 211: Calculus (website on Canvas)
Spring 2019 - Math 776: Model Theory (website)
Spring 2019 - Math 341: Linear Algebra (website)
Fall 2018 - Math 873: Advanced Topics in Foundations - Topics on relational Hrushovski constructions (website)
My main interest is in Model Theory and in particular ab initio Hrushovski constructions, their reducts and their associated combinatorial geometries.
My PhD dissertation is titled "Infinite and finite combinatorics around Hrushovski constructions" and you can find it here.
My M.Sc thesis is titled "Geometry preserving reducts of Hrushovski's non-collapsed construction" and is available upon request.
Papers and Preprints
Omer Mermelstein. The generic flat pregeometry - submitted - arXiv
Omer Mermelstein. The closed ordinal Ramsey number Rcl(ω2,3) = ω6 - Proceedings of the American Mathematical Society 148 (2020), 413--419 - DOI arXiv
Omer Mermelstein. An ab initio construction of a geometry - arXiv
Assaf Hasson and Omer Mermelstein. Reducts of Hrushovski's constructions of a higher geometrical arity - Fundamenta Mathematicae 247 (2019), no. 2, 151--164 - DOI arXiv
Omer Mermelstein. Calculating the closed ordinal Ramsey number Rcl(ω⋅2,3) - Israel Journal of Mathematics 230 (2019), 387--407 - DOI arXiv
Omer Mermelstein. Reduction relations between non-collapsed ab initio Hrushovski constructions of varying degrees of symmetry - submitted - arXiv
Assaf Hasson and Omer Mermelstein. On reducts of Hrushovski's construction - the non-collapsed case - arXiv - Please talk to me before attempting to read this — it is very technical.