CURRICULUM VITAE - GILI GOLAN
Personal Information
Mail
[email protected]
Phone
+1 424 382 5557
Date of Birth
15.02.89
Research Interests
Group Theory: Amenabiltiy, Tarski numbers of groups and group actions, Thompson’s group F,
invariant random subgroups.
Ramsey Theory: Additive coloring theorems in semigroups.
Education
2012 - 2015
PhD, Mathematics, Bar Ilan University.
Advisors: Prof. Mark Sapir and Prof. Boaz Tsaban.
2010 – 2011
MSc, Mathematics, Bar Ilan University.
Advisor: Prof. Boaz Tsaban.
Thesis: Coloring Theorems of Semigroups.
Final Grade: 99.2, with highest distinction.
2006 – 2008
BSc, Mathematics, Bar Ilan University.
Final Grade: 98.7, with highest distinction.
Employment
2016-2018
Assistant Professor, Department of Mathematics, Vanderbilt University.
2015 Fall
Senior Lecturer, Department of Mathematics, Vanderbilt University.
2010-2015
Teaching Assistant, Department of Mathematics, Bar Ilan University.
Grants and Awards
2015
Fulbright Post-doctoral Scholar Award, the United States-Israel
Educational Foundation (USIEF) (given in the academic year 2015-2016).
2015
Post-doctoral Scholarship for Women, Rector, Bar Ilan University (given in
the academic year 2015-2016).
2014
Wolf Foundation Grant for PhD students.
2013
Rector’s Award for Excellence, Bar-Ilan University.
2013
Grant for Women in Science, the Ministry of Science and Technology of
Israel.
2012
Prof. Rahamimoff Travel Grant, United States-Israel Binational Science
Foundation (BSF).
2012 - 2015
University President Grant.
2010 – 2011
MSc Student Grant, Bar Ilan University.
2008
A place on the Dean’s List.
Publications (Published or Accepted)
1. Hindman's coloring theorem in arbitrary semigroups (with Boaz Tsaban), Journal of
Algebra 395 (2013), 111-120.
2. The Tarski numbers of groups (with Mikhail Ershov and Mark Sapir), Advances in
mathematics 284 (2015), 21-53.
3. Tarski numbers of group actions, Groups, Geometry and Dynamics 10(3), (2016) 933–
950.
4. On Jones’ subgroup of R. Thompson group F (with Mark Sapir), Journal of Algebra
470 (2017), 122–159.
5. On subgroups of R. Thompson’s group F (with Mark Sapir), Transactions of the AMS,
to appear (arxiv:1508.00493, 20 pages).
6.
On the stabilizers of finite sets of numbers in the R. Thompson group F (with Mark
Sapir), St. Petersburg Math Journal, to appear (arxiv:1605.05387, 38 pages).
Submitted
7. The generation problem in Thompson group F, arxiv:1608.02572, 82 pages.
8. Nonempty intersection of longest paths in 2K2-free graphs (with Songling Shan),
arxiv:1611.05967, 6 pages.
9. Invariable generation of Thompson groups (with Tsachik Gelander and Kate
Juschenko), arxiv:1611.08264, 9 pages.
In Preparation
10. Random generation and perpetual subgroups of Thompson group F.
11. Non trivial IRS of finitely generated simple non-amenable groups (with Kate
Juschenko).
Conferences and Seminar Talks
1. Spring Scholl on Analysis on Groups and Measured Group Theory, Northwestern
University, April 2017 (talk title to be determined).
2. Groups-Semigroups-Topology Seminar, University of Nebraska Lincoln, March 2017
(talk title to be determined).
3. Workshop on Group Theory, Technion, January 2017, (talk title to be determined).
4. Geometry and Group Theory Seminar, Ben Gurion University, December 2016, (talk
title to be determined).
5. Invariable generation of Thompson groups, Group Theory and Topology Seminar,
Vanderbilt University.
6. The generation problem in Thompson group F, Algebra Seminar, Northwestern
University, November 2016.
7. The generation problem in Thompson group F, Group Theory and Topology Seminar,
Vanderbilt University, September 2016.
8. The generation problem in Thompson group F, Workshop on Thompson groups,
Odense, August 2016.
9. The generation problem in Thompson group F, Computation in geometric and
combinatorial group theory conference, Edinburgh, July 2016.
10. The generation problem in Thompson group F, Algebra Seminar, Hebrew University,
June 2016.
11. The generation problem in Thompson group F, Algebra Seminar, Bat Ilan University,
June 2016.
12. On the core of subgroups of Thompson group F, Group Theory and Topology Seminar,
Vanderbilt University, November 2015.
13. Arbitrarily large Tarski numbers, Summer School: Probability on graphs and groups,
Centre Interfacultaire Bernoulli, August 2015.
14. Tarski numbers of group actions, Séminaire Groupes et Géométrie, University of
Geneva, May 2015.
15. Tarski numbers of group actions, Ergodic and Geometric Group Theory Seminar, EPFL,
May 2015.
16. Tarski numbers of group actions, Asymptotic Invariants of Groups Conference,
University of Oxford, April 2015.
17. The latest attempt to prove that Thompson’s group F is non amenable, Special Topology
Day, Vanderbilt University, September 2014.
18. Tarski numbers of group actions, Group Theory and Topology Seminar, Vanderbilt
University, September 2014.
19. Tarski numbers of groups, Algebra Seminar, University of Haifa, March 2014.
20. Tarski numbers of groups, Algebra Seminar, Bar Ilan University, March 2014.
21. Tarski numbers of groups, Algebra Seminar, Hebrew University, March 2014.
22. Finite colorings of infinite semigroups, Combinatorics Seminar, Bar Ilan University,
March 2012.
Membership in Organizing Committees
1. Conference on Geometric and Combinatorial Methods in Group Theory, UrbanaChampaign, May 2017.
2. A group theory Shanks conference, Vanderbilt University, May 2018.
Services
Refereed for the International Journal of Algebra and Computation and for the Journal of
Combinatorial Algebra.
Written reviews for the AMS Mathematical Reviews.
Teaching Experience
2016
Assistant Professor, Vanderbilt University:
Fall: Math 2600/5600 – Linear Algebra.
Spring: Math 2300 – Multivariable Calculus.
2015
TA, Vanderbilt University:
Math 1301 – Calculus.
2010 – 2015
TA, Bar Ilan University.
Courses:
Abstract Algebra 1,
Set Theory,
Discrete Mathematics,
Linear Algebra for Engineers,
Differential and Integral Methods for Engineers,
Linear Algebra for Computer Scientists,
Math For Chemists B,
Math For Chemists C,
Preparatory Class for Science Students (as a lecturer).