Einstein Institute of Mathematics,

Hebrew University, Givat Ram,

**Manchester Bldg, Rm 5**

**Jerusalem 91904 ISRAEL**

Office phone: ** +972-2-6586213**

Office FAX: ** +972-2-5630702**

e-mail:ruthel@math.huji.ac.il

**Research interests:**

Quantum Topology, Combinatorics, Geometry and Physics

[39]
Jones rational coincidences
-- joint with Ori Rosenstein
**arXiv:2105.13897**, Vaughan Jones memorial volume

[38]
Quantitative towers in finite difference calculus approximating the continuum
-- joint with Nissim Ranade and Dennis Sullivan
**arXiv:2011.07505**, Atiyah memorial volume,
*Quarterly Journal of Mathematics*(2021)

[37] Quantum Link Invariants - from QYBE and braided tensor categories -- Chapter 59 in Concise Encyclopedia of Knot Theory Eds. C. Adams, E. Flapan, A. Henrich, L. Kauffman, L. Ludwig, S. Nelson, publ. Chapman & Hall/CRC Press (2020) ISBN 9781138297845

[36]
Universal averages in gauge actions
-- joint with Maor Siboni
**arXiv:1911.03907**,
*Journal of Lie Theory* **31**(2021) 351-366

[35]
Explicit symmetric DGLA models of 3-cells,
-- joint with Itay Griniasty
**arXiv:2002.12329**
* Canad. Math. Bulletin* (2020) (15 pages)

[34]
An explicit symmetric DGLA model of a triangle,
-- joint with Itay Griniasty
**arXiv:math1802.02795**,
*Higher Structures***3**(1) (2019) 1-16

[33]
An explicit symmetric DGLA model of a bi-gon,
-- joint with Nir Gadish, Itay Griniasty
arXiv:1705.08483/,
Proceedings of `Knots in Hellas 2016',
*J. Knot Th. Ramif.* **28**(11)(2019)1940008 (12 pages)

[32]
A formula for topology/deformations and its significance,
-- joint with Dennis Sullivan
arXiv:math/0610949,
*Fundamenta Mathematica* **225** (2014) 229-242.

[31]
Artin covers of the braid group,
-- joint with Meirav Amram and Uzi Vishne
*J. Knot Th. Ramif.* **21(7)** (2012) 1250061 44pp

[30]
On Habiro's cyclotomic expansions of the Ohtsuki invariant,
-- joint with Ofer Ron
arXiv:math/0501549,
*J. Knot Th. Ramif.* **15(6)** (2006) 661-680

[29]
Some computations of Ohtsuki series,
-- joint with Nori Jacoby
* Advances in Topological Quantum Field Theory* eds J. Bryden,
Kluwer (2004) 53-70.

[28]
A rational surgery formula for the LMO invariant,
--joint with Dror Bar-Natan
arXiv:math/0007045,
*Israel J. Math.* **140** (2004) 29-60

[27]
The Tait conjectures,
* in `The Changing Face of Geometry'* ed Chris Prichard
CUP (2003) 450-454

[26]
The PSU(3) invariant of the Poincare homology sphere,
*Topology and Its Applications* **127** (2003) 153-168

[25]
Modular forms and quantum invariants of 3-manifolds,
* Asian J. Math*** 3** (1999) 93-107.
* Special volume dedicated to Sir Michael Atiyah on the occasion
of his 70th birthday.*

[24]
On Ohtsuki's invariants of 3-manifolds,
* J. Knot Th. Ramif.*** 8** (1999) 1049-1063.

[23]
Witten-Reshetikhin-Turaev invariants of Seifert manifolds,
-- joint with Lev Rozansky
* Commun. Math. Phys.***205 ** (1999) 287-314.

[22]
Yang-Baxter type equations and posets of maximal chains,
* J. Comb. Th.***79 ** (1997) 68-104.

[21]
Holomorphic invariants of 3-manifolds and *q*-gamma functions,
-- in preparation (1997).

[20]
Braid group representations associated with sl_m,
* J. Knot Th. Ramif. ***5 **(1996) 637-660.

[19]
Witten-Reshetikhin-Turaev invariants of 3-manifolds as
holomorphic functions,
*`Proceedings on Geometry and Physics, Aarhus, Denmark',*
Eds. J.E. Andersen, J. Dupont, H. Pedersen, A. Swann
* Lecture Notes in Pure and Applied Mathematics ***184 **(1996)
363-377.

[18]
An Introduction to Topological Field Theory,
* Proc. Symp. Appl. Math. ***51 **(1996) 89-128.

[17]
Asymptotic expansions of Witten-Reshetikhin-Turaev invariants
for some simple 3-manifolds,
**Invited contribution** for the Special Issue on `Quantum
geometry and diffeomorphism invariant quantum field
theory' * J. Math. Phys. ***36 ** (1995) 6106-6129.

[16]
Algebras and triangle relations,
* J. Pure Appl. Alg. ***100 **(1995) 43-72.

[15]
Triangulations, categories and extended topological field
theories,
* Quantum Topology,* Eds. R. Baadhio and L.H. Kauffman, World
Scientific (1993) 191-208.

[14]
Fluorescent transfer of light in dyed materials,
-- joint paper with S.D. Howison, * SIAM
J. Appl. Math. ***53 ** (1993) 447-458.

[13]
A functorial approach to the one-variable Jones Polynomial,
* J. Diff. Geom. ***37 **(1993) 689-710.

[12]
On algebras and triangle relations,
* `Proc. 2nd. Int. Conf. on Topological and Geometric Methods in
Field Theory, Turku, FINLAND, 26th May-1st June, 1991.'*
Eds. J. Mickelsson, O. Pekonen, World Scientific (1992) 429-447.

[11]
A presentation for Manin and Schechtman's higher braid groups,
* MSRI preprint ***04129--91** (April 1991)

[10]
A note on two-row Hecke algebra representations,
* Harvard preprint* (1991)

[9]
Connections between CFT and Topology via Knot Theory,
* Lecture Notes in Physics * **375** (1991) 245-254.

[8]
The homological approach applied to higher representations,
* Harvard preprint* (1990)

[7]
Homological representations of the Hecke algebra,
* Commun. Math. Phys. ***135** (1990) 141-191.

[6]
Topological approach to the Iwahori-Hecke algebra,
* Int. J. Mod. Phys. A***5** (1990) 3213-3219.

[5]
A universal link invariant,
* `Proceedings of the IMA conference on Mathematics-Particle
Physics Interface, Oxford, England, 12th-14th September,
1988.'* Eds. D.G.~Quillen, G.B.~Segal, Tsou~S.T., Oxford University Press (1990) 151--156.

[4] Homology representations of braid groups, D.Phil. Thesis, Univerity of Oxford (June 1989)

[3]
Universal Link Invariants using Quantum Groups,
*`Proceedings of the XVII Int. Conf. on Differential Geometric
Methods in Theoretical Physics, Chester, England, 15th-19th August,
1988.'* Ed. A. Solomon, World Scientific (1989) 55-63.

[2] On families of self-adjoint operators, dissertation accepted by Oxford University in support of application to transfer to Advanced Student status (1987)

[1]
Appendix,
**"Elliptic Curves",** in GTM **111** Springer-Verlag (1986), Second Edition (2004)

Last modified April 15th, 2018.

*Comments and questions to *ruthel@ma.huji.ac.il