# Inna Entova-Aizenbud

I am a lecturer in Math Department, Ben Gurion University.

I work in Representation Theory; my interests include monoidal categories (particularly Deligne categories), categorical actions, superalgebras, and algebraic combinatorics.

I have completed my graduate studies at MIT, where my advisor was Prof. Pavel Etingof.

Here are my thesis and CV.

### Research:

* Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n), * Arxiv. Joint with M. Balagovic, Z. Daugherty, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel.

* Categorical actions on Deligne categories,* Arxiv.

* Deligne categories and the limit of categories Rep(GL(m|n)), * Arxiv. Joint with V. Serganova and V. Hinich.

* Schur-Weyl duality for Deligne categories II: the limit case, * Arxiv. Pacific Journal of Mathematics, Vol. 285 (2016), No. 1, pp. 185–224.

* Reduced Kronecker coefficients and Deligne categories, * Arxiv. Journal of Algebraic Combinatorics, Volume 44 (2016), Issue 2, pp. 345–362.

* Schur-Weyl duality for Deligne categories, * Arxiv. IMRN (2015), vol. 18: p. 8959-9060.

* On representations of rational Cherednik algebras of complex rank, * Arxiv. Representation Theory 18, AMS (2014), p. 361-407.

### Notes:

* Notes on restricted inverse limits of categories * (short version included as appendix in *Schur-Weyl duality for Deligne categories II: the limit case* ). On the Arxiv.

* Complex tensor power is a symmetric monoidal functor* .

Notes and links from the MIT Seminar on Deligne categories (seminar homepage).

### Talks:

University of Bonn, Oberseminar Representation Theory, October 2016. Title: "On representations of the periplectic superalgebra p(n)" (report on project joint with M. Balagovic, Z. Daugherty, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, E. Norton, V. Serganova, C. Stroppel).

City University London, ``Conference on Kronecker coefficients'', September 2016.

Bar Ilan University, Algebra seminar, March 2016.

Ben-Gurion University, Algebra seminar, March 2016.

University of Oregon, Eugene, Representation Theory seminar, December 2015.

MIT, Infinite Dimensional Lie Algebras seminar, September 2015.

Israeli Mathematical Union meeting, May 2015. Title: "Deligne categories and the limit of categories Rep(GL(m|n))" (report on work in progress, joint with V. Serganova and V. Hinich).

Technion, Algebra Seminar, December 2014. Title: "Deligne categories and reduced Kronecker coefficients".

Weizmann Institute of Science, Algebraic Geometry and Representation Theory Seminar, December 2014. Title: "Deligne categories and reduced Kronecker coefficients".

Joint AMS-IMU meeting, June 2014. Section "Mirror Symmetry and Representation Theory".

Weizmann Institute of Science, 12th Night Workshop, January 2014. Title: "Schur-Weyl duality in complex rank" (report on work in progress).

Technion, Algebra Seminar, November 2013. Title: "Schur-Weyl duality in complex rank" (report on work in progress).

MIT, Seminar on Deligne categories, Spring 2013. The handwritten notes are available at the seminar homepage.

### Teaching:

Spring 2017: Discrete Math.

### Past teaching:

Fall 2014-Spring 2015: Teacher at the Math Circle in Weizmann Institute of Science ( website of the Math Circle).

Fall 2013: Teaching assistant (teaching and grading) in the Rothschild program for high-school math teachers, Weizmann Institute of Science. Courses: "Analysis" and "Math in Everyday Life".

Fall 2011: Teaching assistant (grading and help sessions), 18.085 (Computational Science and Engineering), MIT.