Publications

Journal Articles:

1. N. Malik and S. Spallone, Stiefel-Whitney Classes of Representations of SL(2,q), Journal of Group Theory, 2023.

2. K. Seethalakshmi and S. Spallone, A Chinese Remainder Theorem for Partitions, Ramanujan Journal , 2023.

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

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

5. J. Ganguly, A. Prasad, and S. Spallone, On the Divisibility of Character Values of the Symmetric Group, Electron. J. Combin. 27 (2), 2020 #P2.1. 

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

7. A. Ayyer, A. Prasad, and S. Spallone, Macdonald trees and determinants of representations for finite Coxeter groups, Indian Journal of Discrete Math., 5(1) (2019), 1-22.

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

9. A. Mitra and S. Spallone, Towards a Goldberg-Shahidi pairing for classical groups, Forum Math. 30 (2018), no. 2, 347-384.

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

11. A. Ayyer, A. Prasad, and S. Spallone, Odd partitions in Young's lattice, Sem. Lothar. Combin. 75 (2016), Art. B75g, 13pp.

12. A. Prasad, P. Singla, and S. Spallone, Similarity of matrices over local rings of length two, Indiana Univ. Math. J. 64 (2015),  no. 2, 471-514.  

13. S. Spallone, Stable trace formulas and discrete series multiplicities, Pacific J. Math. 256 (2012), no. 2, 435-488. 

14. A. Jenkins and S. Spallone, Local analytic conjugacy of semi-hyperbolic mappings in two variables, in the non-Archimedean setting, Internat. J. Math. 23 (2012), no.6, 1250059, 21pp.

15. S. Spallone, An integration formula of Shahidi, Harmonic analysis on reductive, p-adic groups, 215-236, Contemp. Math., 543, Amer. Math. Soc., Providence, RI, 2011.

16. F. Shahidi and S. Spallone, Residues of intertwining operators for SO(6) as character identities, Compos. Math. 146 (2010), no. 3, 772-794.

17. A. Jenkins and S. Spallone, A p-adic approach to local analytic dynamics: analytic conjugacy of analytic maps tangent to the identity, Ann. Fac. Sci. Toulouse Math. (6) 18 (2009), no.3, 611-634.

18. S. Spallone, Stable discrete series characters at singular elements, Canad. J. Math. 61 (2009), no.6, 1375-1382.

19. S. Spallone, Residues of intertwining operators for classical groups, Int. Math. Res. Not. IMRN 2008, Art. ID rnn 056, 37pp.

20. D. Margalit and S. Spallone, A homological recipe for pseudo-Anosovs, Math. Res. Lett. 14 (2007), no. 5, 853-863.

Conference Proceedings:

1. Book: Representations of Reductive p-adic Groups, Springer-Birkhäuser, ISBN 978-981-13-6627-7, Editors: A.-M. Aubert, M. Mishra, A. Roche, and S. Spallone, 2017.

2. S. Spallone, Residues of intertwining operators for Sp(6): the hyperbolic term vanishes, Prime Numbers and Representation Theory, Lecture Series of Modern Number Theory vol. 2, Science Press, Beijing, 2016.

3. S. Spallone, On the trace formula approach to discrete series multiplicities, Automorphic forms, trace formulas and zeta functions, January 2011, RIMS, Kyoto.

Preprints:

1. V. Shah and S. Spallone, On the Divisibility of Degrees of Representations of Lie Algebras

2. R. Joshi and S. Spallone, Central Extensions and Cohomology

3. N. Malik and S. Spallone, Stiefel-Whitney Classes of Representations of Some Finite Groups of Lie Type

4. A. Roche and S. Spallone, Signs, involutions and Jacquet modules

5. A. Jenkins and S. Spallone, Lipeomorphic equivalence for p-adic analytic functions: a comparison between complex and p-adic dynamics