Work in Progress
- "The local character expansion as branching rules: the case SL(2)," 28 pages, 2023.
Submitted articles
- "The refined solution to the Capelli Eigenvalue problem for gl(m|n)+gl(m,n) and gl(m|2n)", 26 pages, with Mengyuan Cao and Hadi Salmasian, arxiv.2307.02307, 2023.
Publications in Journals
- Peter Latham and Monica Nevins, "Restricting admissible representations to fixed-point subgroups," Communications in Algebra, 51:9, 3834-3847, https://doi.org/10.1080/00927872.2023.2189961, 2023.
- Peter Latham and Monica Nevins, "Typical representations via fixed point sets in Bruhat-Tits buildings," Representation Theory, 25 (2021), 1021-1048. https://www.ams.org/journals/ert/2021-25-36/S1088-4165-2021-00590-X/
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Hayley Tomkins, Monica Nevins and Hadi Salmasian, "New Zémor-Tillich Type Hash Functions Over \(GL_2(\mathbb{F}_{p^n})\)" Journal of Mathematical Cryptology, vol. 14, no. 1, 2020, pp. 236-253. https://doi.org/10.1515/jmc-2019-0033.
- Tobias Bernstein, Jia-Jun Ma, Monica Nevins and Jit Wu Yap, "Nilpotent orbits of orthogonal groups over p-adic fields and the DeBacker parametrization," Algebras and Representation Theory (2020) 23:2033-2058. https://doi.org/10.1007/s10468-019-09928-x
- Monica Nevins, "Restricting toral supercuspidal representations to the derived group, and applications," Journal of Pure and Applied Algebra, Volume 219, Issue 8, August 2015, 3337--54.
- Katherine Jarvis and Monica Nevins, "ETRU: NTRU over the Eisenstein Integers", Designs, Codes and Cryptography: Volume 74, Issue 1 (2015), Page 219-242. DOI 10.1007/s10623-013-9850-3
- Monica Nevins, "On Branching Rules of Depth-Zero Representations", Journal of Algebra 408 (2014) 1--27. Link to published version.
- Monica Nevins, "Branching Rules for Supercuspidal Representations of SL(2,k), for k a p-adic field," Journal of Algebra, Volume 377 (March 2013), pp 204-231. Link to published version
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Decoding Affine Reflection Group Codes with Trellises", Advances in Mathematics of Communications (AMC), Vol 6, No 4, pp 385-400, November 2012. Link to published version
- José Augusto
Lima, Ali Miri and Monica Nevins, "Analysis of Relay Attacks on RFiD Systems," IEEE Latin America Transactions, Vol.10, Iss.1, pp 1274-1282, Jan. 2012 Link to published version
- Monica Nevins, "On Nilpotent Orbits of SL(n) and Sp(2n) over Local Fields", arXiv:0708.1363v1 [math.RT], Journal of Algebras and Representation Theory, 2011, Volume 14, Number 1, Pages 161-190. DOI: 10.1007/s10468-009-9182-1
- Peter S. Campbell and Monica Nevins, "Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic field", arXiv:0710.3263v1 [math.RT], Canad. J. Math. 62 (2010), no. 1, 34-51.
- Monica Nevins, Camelia KarimianPour and Ali Miri, NTRU over Rings Beyond Z, Designs, Codes and Cryptography, Volume 56, Issue 1 (2010), page 65-78. DOI: 10.1007/s10623-009-9342-7
- Peter S. Campbell and Monica Nevins, "Branching Rules for Unramified Principal Series Representations of GL(3) over a p-adic field", Journal of Algebra, 321(9), pp 2422-2444, May 2009. Link to published article
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "An Application of the Bruhat Decomposition to the Design of Full Diversity Unitary Space-Time Codes," IEEE Transactions on Information Theory, Vol 55, Issue 1, pp 232-244, January 2009.
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Unitary space-time group codes: diversity sums from character
tables," IEEE Transactions on Information Theory, Vol 54, Issue 11, pp 5203-5210, November 2008.
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Affine Reflection Group Codes," IEEE Transactions on Information Theory, Vol 54, Issue 1, pp 441-454, January 2008.
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Unitary Space-Time Constellation Designs from Group Codes," IEEE Transactions on Information Theory, Vol 53, No 11, pp 4322-29, November 2007.
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Pairwise error probability of space-time codes for a keyhole
channel, IET Communications,
Volume 1, Issue 1, pp 101-105, February 2007.
- Ali Miri, Monica Nevins and Terasan Niyomsataya, "Applications of Representation Theory to Wireless Communications",
Designs, Codes and Cryptography, Volume 41, Number 3, pp307-318, December 2006. Link to published version
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "A new unitary space-time code with high diversity product", IEEE Transactions on Wireless Communications, Vol 5, No 1, pp 3045-3049, January 2006.
- Monica Nevins, "Branching Rules for Principal Series Representations of SL(2) over a p-adic field," Canad. J. Math. 57 (2005), no. 3, 648--672.
- Monica Nevins, "Admissible Nilpotent Orbits of Exceptional p-adic Lie groups", Represent. Theory (electronic) Vol 6., pp 160-189, 2002.
- Monica Nevins, "Admissible Nilpotent Orbits of p-adic Reductive Lie Groups," Represent. Theory (electronic) Vol 3., pp 105-126, 1999.
Refereed Conference Proceedings
- Peter Latham and Monica Nevins, On the Unicity of Types for Toral Supercuspidal Representations, Representations of reductive p-adic groups, 175–190,
Progr. Math., 328, Birkhäuser/Springer, Singapore, 2019.
- Nicholas Mailloux, Ali Miri and Monica Nevins, "COMPASS: Authenticated Group Key Agreement from Signcryption", FPS 2012, Montreal, QC, Canada, October 2012. Link to published version
- Jose Augusto Lima, Ali Miri and Monica Nevins, "Analysis of Relay Attacks on RFiD Systems", I2TS 2011, Florianopolis, Brazil, December 2011. Selected among 10 best papers presented at the conference.
- Nicholas Mailloux, Ali Miri and Monica Nevins, "Forward Secure Identity-based Key Agreement for Dynamic Groups", PST 2011, Montreal, Canada July 2011. Link to published version
- Monica Nevins, "Patterns in Branching Rules for Irreducible Representations of SL_2(k), for k a p-adic field," Harmonic analysis on reductive, p-adic groups, edited by Robert S. Doran, Paul J. Sally, Jr., and Loren Spice,
Contemp Math, Vol 543, AMS, 2011, pp 185-199. Link to e-book
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Efficient Decoding Algorithm for Affine Reflection Group Codes", 24th Queen's Biennial Symposium on Communications, 2008. Link to published version
- Terasan Niyomsataya, Ali Miri and Monica Nevins,
"Multiple Symbol Detection For
Differential Unitary Space-Time Modulation Using a Stack Algorithm", 24th Queen's Biennial Symposium on Communications, 2008. Link to published version
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Unitary space-time constellations based on finite reflection group
codes", Proceedings of the Canadian Workshop on Information Theory,
CWIT 2005, Montreal, Canada, June 2005.
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Full Diversity Unitary Space-Time Bruhat Constellations," 2004 IEEE Information Theory Workshop, Texas, USA, pp370-374, Oc 24-29, 2004.
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Unitary Space-Time Codes from Group Codes: Permutation Codes Variant II," 2004 IEEE Candaian Conference on Electrical and Computer Engineering (CCECE 2004), Niagara Falls, Vol 1, pp597-600, May 2004.
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "On the Construction of Space-time Hamiltonian Constellations from Group Codes", 2004 IEEE International Conference on Communications (ICC 2004), Paris, Vol 1 pp613-617, June 2004.
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "New Space-Time Code Design for Prime Number of Transmitter Antennas," 22nd Biennial Symposium on Communications, Queen's University, pp12-14, May 31-June 3, 2004.
- Terasan Niyomsataya, Ali Miri and Monica Nevins, "Improving the Diversity
Product of Space-Time Hamiltonian Constellations," 2004 IEEE International Symposium on Information Theory, (ISIT 2004), Chicago, p186, June 27-July 2, 2004.
Books
- Monica Nevins, Applied Algebra: An introduction to Codes and Cryptography (1 ed.), Creative Commons, 192pp, April 2023.
- Thierry Giordano, Barry Jessup and Monica Nevins, Vector Spaces First: An introduction to linear algebra, now in its 4th edition, Creative Commons, 317 pp, 2021.
Books edited
- Thierry Giordano, Barry Jessup and Monica Nevins. Traduit par Abdelkrim Elbasraoui. En avant les espaces vectoriels : Une introduction à l’algèbre linéaire (1 ed.), Creative Commons, Open Education Resource, 323 pp, September 2021.
- Representations of Reductive Groups: In Honor of the 60th Birthday of David A. Vogan, Jr., edited by Monica Nevins and Peter E. Trapa. Birkhauser Progress in Mathematics, Vol 312, xviii+532pp, 2015.
- Ottawa Lectures on Admissible Representations of Reductive p-adic groups, Fields Institute Monographs, Vol 26, edited by Clifton Cunningham and Monica Nevins, American Mathematical Society 2009.
Chapters in books
- Augusto Lima, Ali Miri and Monica Nevins, "RFID Relay Attacks: System Analysis, Modeling and Implementation," Chapter 3 of Security in RFID and Sensor Networks, edited by Yan Zhang and Paris Kitsos. Auerbach Publications, CRC Press, Taylor and Francis Group, 2009, pp 49--76.
Thesis
- Monica Nevins, "Admissible Nilpotent Orbits of p-adic Reductive Lie Groups," Ph.D. Thesis, MIT, 1998.