Shifi (Shifra) Reif

My
main research interests are Representation theory, Lie algebras and
superalgebras, and algebraic combinatorics. I am currently at a tenure track
position at Bar Ilan University. I’ve been a postdoctoral fellow at University
of Michigan 2011-2015, after receiving my Ph.D. at the Weizmann Institute of
Science, where my advisor was Maria Gorelik.

Publications:

1.
Simplicity
of vacuum modules over affine Lie superalgebras, with Crystal Hoyt, Journal of Algebra 321 no. 10 (2009),
2861-2874.

2.
Weyl
Denominator identity for affine Lie superalgebras with zero Coxeter number, with Maria Gorelik, Algebra and Number Theory 6 (2012),
1043-1059.

3.
Denominator
identity for twisted affine Lie superalgebras,
Int. Math. Res. Notices (2014),
4146-4178.

4.
Savings
and insurance within the dual theory of choice. Risk and Decision Analysis 4 no. 4 (2013), 235-241.
With Y. Machnes.

5.
The
Kac Wakimoto character formula for the general linear Lie superalgebras, Algebra and Number Theory 9 (2015), 1419-1452.
With M. Chmutov and C. Hoyt.

6.
A
superdimension formula for gl(m|n) modules,
J. Algebra Appl 15 (2016), 1650080.
With M. Chmutov and R. Karpman.

7.
A
Weyl-Type character formula for PDC modules of gl(m|n), J. Lie
Theory 27 (2017), 1069-1088.
With M. Chmutov and C. Hoyt.

8.
The
Duflo-Serganova functor and Grothendieck rings of Lie superalgebras, Algebra and Number Theory 12 (2018) 2167-2184. With
C. Hoyt.

9.
The
Grothendieck ring of periplectic Lie superalgebras, accepted to Math. Res. Letters. With M.-S. Im, and V. Serganova. (Submited 2019).

10.
Denomanator
identities for periplectic Lie superalgebras, J. Algebra
567 (2021), 459-474. With C.
Hoyt, M.-S. Im. (Submited 2020).

11. On
tensor products of irreducible integrable representations. Accepted to J. Algebra. With
R. Venkatesh. (Submited 2020).

12. Grothendieck
Rings of Queer Lie Superalgebras. (Submited 2021).

Email: shifra.reif@biu.ac.il

Coordinates:

Room 112, Building 216, Department of Mathematics, Bar Ilan University.