Department of
Mathematics

Steven Spallone obtained his PhD in 2004 from the University of Chicago. He was a postdoctoral fellow at Purdue University and the University of Oklahoma before joining IISER Pune in 2012.

Research

Characteristic Classes of Representations

Our primary research focus is developing the theory of characteristic classes for representations of familiar groups, such as Lie groups and symmetric groups. This includes invariants such as determinants and spin structures. We are also interested in the arithmetic theory of partitions, and its application to symmetric groups.

Selected Publications

Joshi, R. and Spallone, S. "Spinoriality of Orthogonal Representations of GL(n,q)". Pacific J. Math. 311 (2021), no. 2, 369–383.

Joshi, R. and Spallone, S. "Spinoriality of Orthogonal Representations of Reductive Groups, Represent. Theory 24 (2020), 435-469.

Ganguly, J. and Spallone, S. "Spinorial Representations of Symmetric Groups", J. Algebra 544 (2020) 29-46.

Ghosh, D. and Spallone, S. "Determinants of Representations of Coxeter Groups", J. Algebraic Combin. 49(3) (2019), 229-265.

Ayyer, A., Prasad, A., and Spallone, S. "Representations of symmetric groups with non-trivial determinant", J. Combin. Theory Ser. A 150 (2017) 208-232.