# Jeffrey D. Adler: Publications and Preprints

## Representation theory and harmonic analysis

Character relations for a lifting of representations of finite reductive groups, (with Michael Cassel, Joshua Lansky, Emma Morgan, and Yifei Zhao). Submitted for publication. E-print available at arXiv:1205.6448.

Liftings of representations of finite reductive groups II: Explicit conorm functions, (with Joshua Lansky). Under revision. E-print available at arXiv:1109.0794.

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.

Discrete series characters of division algebras and GLn 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.

A construction of types, Analyse harmonique sur le groupe Sp4 , (CIRM, Luminy, June, 1998), Paul Sally, ed. University of Chicago Lecture Notes in Representation Theory, 1999.

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 GLn , Proc. Amer. Math. Soc., 125 (1997), No. 8, 2471-2479. MR:97j:22038. Zbl 886.22011.

## Other subjects

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), preprint.

The Neighborhood Covering Heuristic (NCH) Approach for the General Mixed Integer Programming Problem, (with A. A. Sterns, Douglas Kline, and Scott Collins (who has since become mononymous)), Final Report completed for the Navy Personnel Research, Science, and Technology Division, Contract N00014-03-M-0254, Office of Naval Research, 2004.