Izhar Oppenheim


Department of Mathematics
Ben Gurion University of the Negev 
P.O.B. 653 
Be'er Sheva 8410501 
ISRAEL

Email: izharo at gmail.com
Office: 316 at Deichmann Building for Mathematics


I finished my doctorate at department of Mathematics of the Technion-IIL in 2012. My supervisor was Prof. Uri Bader.
Between 2012 and 2015 I was a Zassenhaus Assistant Professor at OSU math department (Post-doc position). Currently I am a lecturer (tenure-track position) at math department at Ben-Gurion university.
Here is my CV.

Personal:
I am married to Einat who works as a freelance lingustic editor - this is her website. We have two children - Naomi and Lev (see picture above).

Research Interests:
My current research interests are in the field of geometric group theory, that is, the study of groups through their actions on "nice" metric spaces. This type of research often leads to non-positive curvature (CAT(0) spaces), coarse geometry, topology and dynamics. Lately, I was also drawn to the topic of high dimensional expanders (i.e., simplicial complexes which serve as some analogue to expander graphs).

Teaching:
This semester I Calculus 1 (Hedva 1) for EE. All the course material (syllabus, homework, etc.) is available through Moodle.
 Papers: 
(Click on the article title to reach the free arxiv version. Click on link at the end to reach the final version on the publisher website, which may be a little different than the arxiv version)






Surface subgroups for lattices in Fuchsian buildings, Joint with D. Constantine and J.F.Lafont, Withdrawn.




Vanishing of cohomology and property (T) for groups acting on weighted simplicial complexes Groups, Geometry and Dynamics, Volume 9, Issue 1, 2015, pp. 67–101, link

Property (T) for groups acting on simplicial complexes through taking an "average" of Laplacian eigenvaluesGroups, Geometry and Dynamics,Volume 9, Issue 4, 2015, pp. 1131–1152, link 

Lecture Notes:
Below are notes and slides from lectures I had given in various seminars. 

- Notes regarding Poisson boundary reviewing chapter IV of Margulis's book ("Discrete subgroups of semisimple Lie groups") - lecture given in the Technion's boundary seminar.
Notes on Property A and asymptotically large depth - given in the OSU GGT seminar.
- Slides from a lecture on Property (T) and vanishing of cohomology - given in the OSU GGT seminar. 
- Slides from a lecture on Fixed point property on Banach spaces for groups acting on simplicial complexes - given in the OSU welcome seminar.