NISER

(1)Integrated PhD in Mathematics, The Institute of Mathematical Sciences, Chennai, (2011-16), Advisor: Sankaran Viswanath.

 Thesis: Demazure flags, Chebyshev polynomials and mock theta functions. 

(2)Master of Science in Mathematics, Indian Institute of Technology, Bombay, India.( 2010-2011 )

(3) Bachelor of Science and Bachelor of Education, Regional Institute of Education, Bhubaneswar, India. (2006-2010)

Representation Theory

(1) Invited to visit Institut des Hautes Études Scientifiques(IHES), France for one month in the summer 2025.

(2) Selected for Scientific High level visiting Fellowship 2025 by French Institute in India.

(3)Hired by CNRS, at the Institute Camile Jordan as a foreign researcher(Poste Rouge) for 3 months on fixed-term contract(May-Aug 2025)

(4) Invited as visiting professor at ICJ, University of Jean Monnet, France for one month during the period May-June 2024. 

(5) Oberwolfach Foundation Fellowship, April 2024. 

(6) Odisha young scientist award for the year 2022 in the category of "odia scientists working outside the state of Odisha". 

(7)Selected for UGC-CSIR Junior Research Fellowship, July 2013. 

(8)National Board of Higher Mathematics (NBHM) Ph.D Fellowship, 2011. 

(9) National Board of Higher Mathematics (NBHM) M.Sc Fellowship, 2010. 

(10) Qualified IIT-JAM, M.Sc Mathematics(2010), All India Rank - 2.

(1) Rekha Biswal and Ghislain Fourier; Minuscule Schubert Varieties: Poset Polytopes, PBW-degenerated Demazure Modules, and Kogan Faces, Algebras and Representation Theory, 18, (2015), Issue 6, pages 1481-1503. (https://arxiv.org/abs/1410.1126)

 (2) Rekha Biswal, Vyjayanthi Chari, Lisa Schneider and Sankaran Viswanath; Demazure Flags, Chebyshev Polynomials, Partial and Mock Theta functions, Journal of Combinatorial Theory, Series A, 140, (2016), pages 38-75. (https://arxiv.org/abs/ 1502.05322) 

(3) Rekha Biswal, Vyjayanthi Chari and Deniz Kus; Demazure Flags, q-Fibonacci Polynomials and Hypergeometric Series, Res. Math. Sci. 5(2018), no.1, Paper No.12, 34 pp. (https://arxiv.org/abs/1607.01069) 

(4) Rekha Biswal and Deniz Kus; A combinatorial formula for graded multiplicities in excellent filtrations.Transformation Groups, (2021), Vol. 26, pp. 81-114.(https: //arxiv.org/pdf/1712.02667.pdf) 

(5) Rekha Biswal and Travis Scrimshaw; Existence of Kirillov-Reshetikhin crystals for multiplicity free nodes (Publ. Res. Inst. Math. Sci., (2020), Volume 56, 761-778)(https: //arxiv.org/pdf/1902.00769.pdf). 

(6) Rekha Biswal, Vyjayanthi Chari, Peri Shereen and Jeffrey Wand; Macdonald polynomials and level two Demazure modules for affine sln+1 Journal of Algebra, Volume 575, (2021), pages 159-191(https://arxiv.org/pdf/1910.05848.pdf). 

(7) Georgia Benkart, Rekha Biswal, Ellen Kirkmann, Van C Nguyen and Jieru Zhu; McKay matrices for finite dimensional Hopf algebras Canad. J. Math. (2021), pp. 1–46 (https://arxiv.org/pdf/2007.05510.pdf)

(8) Rekha Biswal and Travis Scrimshaw; Kirillov-Reshetikhin crystals B7,s for type E1 7 (Comm. Algebra. (2022) 508-523)(https://arxiv.org/pdf/1901.00182.pdf). 

(9) Rekha Biswal, Abdelkarim Chakhar and Xiao He; Classification of rank two Lie conformal algebras(Journal of Ramanujan Mathematical Society, (2021), 203-219)(https: //arxiv.org/pdf/1712.05478.pdf). 

(10) Georgia Benkart, Rekha Biswal, Ellen Kirkmann, Van C Nguyen and Jieru Zhu; Tensor representations for the Drinfeld double of the Taft algebras (Journal of Algebra, (2022) 764-797)(https://arxiv.org/pdf/2012.15277.pdf) 

(11) Rekha Biswal and Susan J. Sierra; Ideals in enveloping algebras of affine KacMoody algebras(Algebra and Number Theory, Vol. 19(2025),No. 6, 1199-1230)(https://arxiv.org/pdf/ 2112.08334.pdf) . 

(12) Rekha Biswal and Stephane Gaussent; Existence of a new family of irreducible components in the tensor product and its applications(Submitted)(https://arxiv. org/pdf/2501.15837)

Representation Theory of Kac-Moody algebras, Algebraic combinatorics.

Algebraic Topology, Lie algebras, Algebra II, Commutative Algebra, Field Theory.