Currently I am a postdoctoral fellow in the mathematics department at Haifa University, under the supervisions of Prof. Kobi Peterzil (Haifa). During January 2022 - September 2022 I was a postdoctoral fellow in the mathematics department at Haifa University and in the mathematics department at the Ben Gurion University of the Negev in Be'er Sheva, under the supervisions of Prof. Kobi Peterzil (Haifa) and Prof. Assaf Hasson (BGU). During July 2021 - December 2021 I was a postdoctoral fellow in the Fields Institute for Research in Mathematical Sciences, under the supervision of Prof. Thomas Scanlon (UC Berkeley) During October 2018 - June 2021 I was a postdoctoral fellow in the mathematics department at the Ben Gurion University of the Negev in Be'er Sheva, under the supervision of Prof. Assaf Hasson. During October 2017 - September 2018 I was a postdoctoral fellow in the mathematics department at the Hebrew University of Jerusalem, under the supervision of Prof. Saharon Shelah. I did my Ph.D. student at the mathematics department at the Hebrew University of Jerusalem, under the supervision of Prof. Ehud Hrushovski. I received my M.Sc. in mathematics from the Hebrew University of Jerusalem, working on Algebraic Semigroups under the supervision of Prof. Yakov Varshavski. I'm specifically interested in Model Theory and its connections with Algebra and Algebraic Geometry.
For a .pdf version of my CV, click here.
Contact information
Yatir Halevi Faculty of Natural Sciences University of Haifa 199 Abba Khoushy Avenue Haifa, 3498838 Israel Email: $\mathtt{ybenarih}@\mathtt{campus}{.}\mathtt{haifa}{.}\mathtt{ac}{.}\mathtt{il}$
Research
I am mainly interested in Model Theory and its connections to other parts of mathematics, especially Algebra and Geometry. Publications and preprints:
- Definably semisimple groups interpretable in p-adically closed fields, with Assaf Hasson and Ya'acov Peterzil, submitted. arXiv:2211.00141
- Enriching a predicate and tame expansions of the integers, with Gabriel Conant, Christian d'Elbée, Léo Jimenez and Silvain Rideau-Kikuchi, submitted. arXiv:2203.07226
- On groups interpretable in various valued fields, with Assaf Hasson and Ya'acov Peterzil, submitted. arXiv:2206.05677
- Saturated Models for the Working Model Theorist, with Itay Kaplan, submitted. arXiv:2112.02774
- Infinite Stable Graphs With Large Chromatic Number II, with Itay Kaplan and Saharon Shelah, accepted to J. Eur. Math. Soc. arXiv:2103.13931
- Interpretable Fields in Various Valued Fields, with Assaf Hasson and Ya'acov Peterzil, Adv. Math 404 (2022), Paper No. 108408, 58. arXiv:2109.00569
- Infinite Stable Graphs With Large Chromatic Number, with Itay Kaplan and Saharon Shelah, Trans. Am. Math. Soc. 375 (2022), no.3, 1767-1799. arXiv:2007.12139
- Dp-Minimal Integral Domains, with Christian d'Elbée, Israel J. Math. 246 (2021), no.1, 487-510. arXiv:2006.05755
- Definable V-topologies, Henselianity and NIP, with Assaf Hasson and Franziska Jahnke, J. Math. Log. 20 (2020), no. 2, 2050008, 33 pp. arXiv:1901.05920
- A Generalization of von Staudt's Theorem on Cross-Ratios, with Itay Kaplan, Math. Proc. Cambridge Philos. Soc 168 (2020), no. 3, 601--612. arXiv:1803.08520
- $\infty$-constructible Subsemigroups of $M_2(\mathbb{C})$, Semigroup Forum 99 (2019), no. 2, 214--232. arXiv:1607.03603
- A Conjectural Classification of Strongly Dependent Fields, with Assaf Hasson and Franziska Jahnke, Bull. Symb. Log. 25 (2019), no. 2, 192--195. arXiv:1805.03814
- The Dp-rank of Abelian groups, with Daniel Palacín, J. Symb. Log. 84 (2019), no. 3, 957--986. arXiv:1712.04503
- Strongly Dependent Ordered Abelian Groups and Henselian Fields, with Assaf Hasson, Israel J. Math. 232 (2019), no. 2, 719--758. arXiv:1706.03376
- Corrigendum to ''On stably pointed varieties and generically stable groups in ACVF'' [Ann. Pure Appl. Log. 170(2) (2019) 180-217], Ann. Pure Appl. Logic 173 (2022), no. 1, 103045.
- On Stably Pointed Varieties and Generically Stable Groups in ACVF, Ann. Pure Appl. Logic 170 (2019), no. 2, 180--2017. arXiv:1611:05422
- Eliminating Field Quantifiers in Strongly Dependent Henselian Fields, with Assaf Hasson, Proc. Amer. Math. Soc. 147 (2019), no. 5, 2213--2230. arXiv:1707.03188
- Semigroups in Stable Structures, Notre Dame J. Formal Logic 59 (2018), no. 3, 417--436. arXiv:1509.02275
Teaching:
I have had the pleasure of teaching the following courses:
Ben-Gurion University of the Negev:
- Fall 2022 - Differential Equations for Materials Engineering
- Spring 2022 - Calculus II for Engineering
- Spring 2021 - Algebra II
- Fall 2021 - Algebra I
- Spring 2020 - Linear Algebra I for Materials Engineering
- Fall 2019 - Fourier Analysis for Electrical Engineering
- Spring 2019 - Algebra II
- Fall 2018 - Differential Equations for Materials Engineering
Hebrew University:
- Spring 2018 - Mathematical Logic II
I have had the pleasure of TA-ing in the following courses at the Hebrew University:
- Fall 2011 - Linear Algebra I
- Spring 2012 - Linear Algebra II
- Spring 2013 - Linear Algebra II
- Fall 2013 - Mathematics for Science Students I
- Spring 2014 - Mathematics for Science Students II
- Fall 2014 - Mathematical Logic I
- Spring 2015 - Linear Algebra II
- Fall 2015 - Mathematical Logic I
- Spring 2016 - Algebraic Structures II
- Fall 2016 - Mathematical Logic I
- Spring 2017 - Mathematical Logic II
Personal
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