Monica Nevins, University of Ottawa

Work in Progress

  1. "The local character expansion as branching rules: the case SL(2)," 28 pages, 2023.

Submitted articles

  1. "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

  1. 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.
  2. 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/
  3. 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.
  4. 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
  5. 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.
  6. 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
  7. Monica Nevins, "On Branching Rules of Depth-Zero Representations", Journal of Algebra 408 (2014) 1--27. Link to published version.
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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.
  13. 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
  14. 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
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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
  21. 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.
  22. 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.
  23. Monica Nevins, "Admissible Nilpotent Orbits of Exceptional p-adic Lie groups", Represent. Theory (electronic) Vol 6., pp 160-189, 2002.
  24. Monica Nevins, "Admissible Nilpotent Orbits of p-adic Reductive Lie Groups," Represent. Theory (electronic) Vol 3., pp 105-126, 1999.

Refereed Conference Proceedings

  1. 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.
  2. 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
  3. 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.
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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

  1. Monica Nevins, Applied Algebra: An introduction to Codes and Cryptography (1 ed.), Creative Commons, 192pp, April 2023.
  2. 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

  1. 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.
  2. 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.
  3. 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

  1. 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