Publications

Representation theory and harmonic analysis

• Liftings of representations of finite reductive II: Explicit conorms, (with Joshua Lansky. J. Algebra 631 (2023), pp. 610-657.  E-print available at arXiv:1109.0794
• Regular Bernstein blocks (with Manish Mishra), J. Reine Angew. Math.775 (2021), pp. 71-86.  E-print available at arXiv:1909.09966.
• Self-dual cuspidal representations (with Manish Mishra), Represent. Theory  24 (2020), pp. 210-228.  E-print available at arXiv:1903.02770.
• Multiplicity upon restriction to the derived subgroup, (with Dipendra Prasad), Pacific J. Math. (2019), no. 1, pp. 1-14. E-print available at arXiv:1806.03635.
• Root data with group actions, (with Joshua Lansky), Representations of reductive-adic groups: Contributions from Pune, (editors: Anne-Marie Aubert, Manish Mishra, Alan Roche, and Steven Spallone), Progress in Math, vol. 328, Birkhauser, 2019.  E-print available at arXiv:1707.01935
• On Kostant sections and topological nilpotence, (with Jessica Fintzen and Sandeep Varma), J. London Math. Soc. 97 no. 2 (2018), pp. 325–351. E-print available at arXiv:1611.08566. DOI: http://dx.doi.org/10.1112/jlms.12106.
• Character relations for a lifting of representations of finite reductive groups, (with Michael Cassel, Joshua Lansky, Emma Morgan, and Yifei Zhao), Involve 9 (2016), no. 5, pp. 805–812. E-print available at arXiv:1205.6448
• Liftings of representations of finite reductive groups I: Semisimple conjugacy classes, (with Joshua Lansky), Canad. J. Math.. 66 (2014), no. 6, pp. 1201–1224. DOI: http://dx.doi.org/10.4153/CJM-2014-013-6. E-print available at arXiv:1106.0786.
• Extensions of representations of p-adic groups, (with Dipendra Prasad), Nagoya Math. J. 208 (2012), pp. 171–199. E-print available at arXiv:1108.3668.
• Supercuspidal characters of of SL2 over a p-adic field, (with Stephen DeBacker, P. J. Sally, Jr., and Loren Spice), in Harmonic analysis on reductive, p-adic groups, Robert S. Doran, Paul J. Sally, Jr., and Loren Spice, eds., Contemporary Mathematics, vol. 543, pp. 19–69. American Mathematical Society, Providence, RI, 2011. E-print available at arXiv:1012.5548.
• Depth-zero base change for ramified U(2,1), (with Joshua Lansky), Trans. Amer. Math. Soc., 362 (2010), 5569–5599. E-print available at arXiv:0807.1528.
• Supercuspidal characters of reductive p-adic groups (with Loren Spice), Amer. J. Math. 131 (2009), no. 4, 1137–1210. E-print available at arXiv:0707.3313.
• Good product expansions for tame elements of p-adic groups (with Loren Spice), Int. Math. Res. Pap. vol. 2008, 95 pages. E-print available at arXiv:math.RT/0611554.
• The local character expansion near a tame, semisimple element (with Jonathan Korman), Amer. J. Math., 129 (2007), no. 2, 381–403.
• On certain multiplicity one theorems (with Dipendra Prasad), Israel J. Math, 153 (2006), 221–245.
• Depth-zero base change for unramified U(2,1), (with Joshua Lansky), J. Number Theory 114 (2005), no. 2, pp. 324–360. Printer’s error corrected in vol. 121 (2006), no. 1, 186.
• Discrete series representations of unipotent p-adic groups, (with Alan Roche), J. Lie Theory 15 (2005), 261–267.
• Injectivity, projectivity, and supercuspidal representations, (with Alan Roche), J. London Math. Soc. (2) 70 (2004), no. 2, 356–368.
• Murnaghan-Kirillov theory for supercuspidal representations of tame general linear groups, (with Stephen DeBacker), J. Reine Angew. Math. 575 (2004), 1–35.
• Discrete series characters of division algebras and GL_n over a p-adic field (with L. Corwin and P. J. Sally, Jr.), in Contributions to Automorphic Forms, Geometry, and Number Theory, pp. 57–64. Edited by H. Hida, D. Ramakrishnan, and F. Shahidi. Johns Hopkins University Press, 2004.
• A generalization of a result of Kazhdan and Lusztig, (with Stephen DeBacker), Proc. Amer. Math. Soc., 132 (2004), no. 6, 1861–1868.
• Some applications of Bruhat-Tits theory to harmonic analysis on the Lie algebra of a reductive p-adic group (with Stephen DeBacker), Mich. Math. J. 50 (2002), No. 2, 263–286. (An early version of this work was distributed under the title “Moy-Prasad filtrations and harmonic analysis”.) MR:2003g:22016.
• An intertwining result for p-adic groups, (with Alan Roche), Canad. J. Math., 52 (2000), no. 3, 449–467.
• Refined anisotropic K-types and supercuspidal representations, Pacific J. Math., 185 (1998), no. 1, 1–32. MR:2000f:22019. Zbl 924.22015.
• Self-contragredient supercuspidal representations of GL_n, Proc. Amer. Math. Soc., 125 (1997), No. 8, 2471–2479. MR:97j:22038. Zbl 886.22011.

Other subjects

• Paul Sally, Jr., (1933–2013), (co-edited with John Boller, Stephen DeBacker, and Loren Spice), Notices of the American Mathematical Society 65, no. 5 (May, 2018), pp. 555–565. Available at http://www.ams.org/journals/notices/201805/rnoti-p555.pdf.
• The Poster Session: A Tool for Education, Assessment, and Recruitment (with Ethel R. Wheland, Timothy W. O’Neil, and Kathy J. Liszka), Mathematics and Computer Education, 43 (Spring, 2009), no. 2, 141–150.
• Reading encrypted diplomatic correspondence: An undergraduate research project, (with Ryan Fuoss, Michael Levin, and Amanda Youell), Cryptologia, 32 (2008), Issue 1, pp. 1–12. Undergraduate research in mathematics at the University of Akron,
• Proceeding of the Conference on Promoting Undergraduate Research in Mathematics (Chicago, 2006), Joseph A. Gallian, ed., American Mathematical Society, pp. 145–148.
• Groups of order p⁴ made less difficult (with Michael Garlow and Ethel R. Wheland), E-print available at arXiv:1611.00461.
• The Neighborhood Covering Heuristic (NCH) Approach for the General Mixed Integer Programming Problem, (with A. A. Sterns, Douglas Kline, and Scott Collins), Final Report completed for the Navy Personnel Research, Science, and Technology Division, Contract N00014-03-M-0254, Office of Naval Research, 2004.